método de chow

183
Criterio de bell Para la estación de la concha 103.628205 R = 0.6 62.1769231 X Y Precipitación 2.053 104.5 2 103.628205 1.95 102.8 T (años) 5 10 15 20 25 Intensidades T (años) 5 10 15 20 25 5 303.5976 227.2236 185.198 158.4597 139.70496 10 359.256 268.8804 219.1504 187.5099 165.31728 15 391.8144 293.2482 239.0116 204.5034 180.29928 20 414.9156 310.5372 253.1028 216.5604 190.92936 25 432.8328 323.9478 264.0332 225.9126 199.17456 30 447.4728 334.905 272.964 233.5539 205.91136 35 459.8508 344.1696 280.5148 240.0144 211.60752 40 470.574 352.1946 287.0556 245.6109 216.54144 45 480.0312 359.2728 292.8248 250.5474 220.8936 50 488.4912 365.6052 297.9856 254.9631 224.78664 55 496.1448 371.3328 302.6544 258.9576 228.3084 60 503.1324 376.5624 306.9164 262.6044 231.52368 65 509.5596 381.3726 310.8372 265.959 234.4812 70 515.5104 385.8264 314.4672 269.0649 237.2196 75 521.0496 389.973 317.8464 271.9563 239.76888 80 526.2324 393.8514 321.008 274.6614 242.15352 P t T = (0.35ln(T)+0.76)(0.54t 0.25 -050)P 60 2 P 60 2 = R P 24 2 P 24 2 P 60 2 =

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aplicación del método de Chow (ejemplo)

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Page 1: Método de Chow

Criterio de bell

Para la estación de la concha

103.628205

R = 0.6

62.1769231

X Y Precipitación2.053 104.5 2 103.628205

1.95 102.8

t (mins)T (años) 5 10 15 20 25

Intensidades

t (mins)T (años) 5 10 15 20 25

5 303.5976 227.2236 185.198 158.4597 139.7049610 359.256 268.8804 219.1504 187.5099 165.3172815 391.8144 293.2482 239.0116 204.5034 180.2992820 414.9156 310.5372 253.1028 216.5604 190.9293625 432.8328 323.9478 264.0332 225.9126 199.1745630 447.4728 334.905 272.964 233.5539 205.9113635 459.8508 344.1696 280.5148 240.0144 211.6075240 470.574 352.1946 287.0556 245.6109 216.5414445 480.0312 359.2728 292.8248 250.5474 220.893650 488.4912 365.6052 297.9856 254.9631 224.7866455 496.1448 371.3328 302.6544 258.9576 228.308460 503.1324 376.5624 306.9164 262.6044 231.5236865 509.5596 381.3726 310.8372 265.959 234.481270 515.5104 385.8264 314.4672 269.0649 237.219675 521.0496 389.973 317.8464 271.9563 239.7688880 526.2324 393.8514 321.008 274.6614 242.15352

PtT = (0.35ln(T)+0.76)(0.54t0.25-050)P60

2

P602 = R P24

2

P242

P602 =

Page 2: Método de Chow

85 531.1008 397.4946 323.9776 277.2021 244.3936890 535.6896 400.9302 326.7772 279.5976 246.5056895 540.0312 404.1792 329.4256 281.8638 248.50368

100 544.1508 407.262 331.938 284.0136 250.39896105 548.0676 410.1942 334.328 286.0584 252.20184110 551.8032 412.9896 336.6068 288.0081 253.92072115 555.3732 415.6614 338.784 289.8711 255.56328120 558.7908 418.2192 340.8688 291.6546 257.13576125 562.068 420.6726 342.8684 293.3655 258.64416130 565.218 423.0294 344.7896 295.0095 260.09352135 568.248 425.2974 346.638 296.5911 261.48792140 571.1688 427.4832 348.4196 298.1154 262.83168145 573.9864 429.5922 350.1384 299.586 264.1284150 576.7092 431.6298 351.7988 301.0068 265.38096155 579.342 433.6002 353.4052 302.3811 266.59272160 581.8908 435.5082 354.9604 303.7116 267.76584165 584.3616 437.3574 356.4676 305.0013 268.90272170 586.7592 439.152 357.93 306.2526 270.006175 589.0872 440.8938 359.3496 307.4676 271.07712180 591.3492 442.587 360.7296 308.6481 272.118185 593.5488 444.2334 362.0716 309.7965 273.13032190 595.6908 445.836 363.378 310.914 274.11576195 597.7764 447.3972 364.6504 312.0027 275.07552200 599.8092 448.9188 365.8904 313.0638 276.01104205 601.7916 450.4026 367.1 314.0988 276.92352210 603.7272 451.851 368.2804 315.1086 277.81392215 605.616 453.2652 369.4328 316.095 278.68344220 607.4628 454.647 370.5592 317.0583 279.5328225 609.2664 455.9976 371.66 318.0003 280.3632230 611.0316 457.3182 372.7364 318.9213 281.17536235 612.7584 458.6106 373.79 319.8228 281.97240 614.4492 459.876 374.8212 320.7051 282.74784245 616.1052 461.115 375.8312 321.5694 283.50984250 617.7276 462.3294 376.8208 322.416 284.25624255 619.3176 463.5198 377.7908 323.2461 284.988260 620.8764 464.6868 378.742 324.0597 285.7056265 622.4064 465.831 379.6748 324.858 286.40952270 623.9064 466.9548 380.5904 325.6416 287.1275 625.38 468.0576 381.4892 326.4105 287.778280 626.8272 469.14 382.372 327.1656 288.444285 628.248 470.2038 383.2388 327.9075 289.098290 629.6448 471.249 384.0908 328.6365 289.74048295 631.0176 472.2768 384.928 329.3529 290.37216300 632.3676 473.2866 385.7512 330.0573 290.99328305 633.6948 474.2802 386.5612 330.75 291.60408

Page 3: Método de Chow

310 635.0004 475.257 387.3576 331.4316 292.2048315 636.2856 476.2188 388.1412 332.1021 292.79592320 637.5492 477.165 388.9128 332.7621 293.37792325 638.7948 478.0968 389.672 333.4119 293.9508330 640.02 479.0148 390.42 334.0518 294.51504335 641.2284 479.9184 391.1564 334.6821 295.07064340 642.4176 480.8088 391.8824 335.3031 295.61808345 643.59 481.686 392.5972 335.9148 296.1576350 644.7456 482.5506 393.302 336.5178 296.6892355 645.8844 483.4032 393.9968 337.1124 297.21336360 647.0076 484.2438 394.682 337.6986 297.73008365 648.1152 485.073 395.3576 338.2767 298.23984370 649.2072 485.8902 396.024 338.847 298.7424375 650.2848 486.6972 396.6816 339.4095 299.23848380 651.3492 487.4934 397.3304 339.9645 299.72784385 652.398 488.2788 397.9708 340.5123 300.21096390 653.4348 489.054 398.6028 341.0532 300.6876395 654.4572 489.8196 399.2268 341.5872 301.15848400 655.4676 490.5756 399.8428 342.1143 301.62312405 656.4648 491.3226 400.4516 342.6351 302.08224410 657.45 492.06 401.0524 343.1493 302.5356415 658.4232 492.7884 401.646 343.6572 302.98344420 659.3856 493.5078 402.2328 344.1591 303.426425 660.336 494.2194 402.8124 344.6553 303.86328430 661.2744 494.922 403.3856 345.1452 304.29552435 662.2032 495.6168 403.9516 345.63 304.72272440 663.1212 496.3038 404.5116 346.1088 305.14488445 664.0284 496.983 405.0648 346.5825 305.56248450 664.926 497.6544 405.6124 347.0508 305.97528455 665.8128 498.3186 406.1536 347.5137 306.38376460 666.69 498.975 406.6888 347.9718 306.78744465 667.5588 499.6248 407.2184 348.4251 307.18704470 668.4168 500.268 407.7424 348.8733 307.58208475 669.2664 500.904 408.2608 349.3167 307.97328480 670.1076 501.5328 408.7736 349.7556 308.36016485 670.9404 502.1556 409.2812 350.19 308.74296490 671.7636 502.7724 409.7836 350.6199 309.12192495 672.5784 503.3826 410.2808 351.0453 309.49704500 673.386 503.9862 410.7732 351.4665 309.86856

Page 4: Método de Chow
Page 5: Método de Chow

t (mins)30 35 40 45 50 55

t (mins)30 35 40 45 50 55

125.6872 114.7356 105.8964 98.5822667 92.40972 87.1168364148.7296 135.770057 125.31045 116.655467 109.3512 103.087964162.2084 148.074514 136.66695 127.227467 119.2614 112.430509171.7718 156.804686 144.7245 134.728533 126.2928 119.059091179.1898 163.576286 150.9744 140.5468 131.74668 124.200655185.2506 169.108971 156.081 145.300667 136.20288 128.401636

190.375 173.786914 160.39845 149.32 139.97052 131.953527194.814 177.839143 164.13855 152.801733 143.23428 135.030327

198.7296 181.413429 167.4375 155.8728 146.11308 137.744182202.232 184.610743 170.38845 158.619867 148.68816 140.171891

205.4004 187.503086 173.058 161.105067 151.01772 142.368208.293 190.1436 175.49505 163.373733 153.14436 144.372873

210.9538 192.572571 177.7368 165.4608 155.10072 146.217164213.4174 194.821371 179.8125 167.393067 156.91212 147.924655215.7108 196.9152 181.74495 169.192 158.59836 149.514327217.8564 198.8736 183.5526 170.8748 160.17576 151.001455

Page 6: Método de Chow

219.8716 200.713371 185.2506 172.455467 161.65752 152.398364221.7718 202.447886 186.8514 173.945867 163.05456 153.715309223.5692 204.088629 188.3658 175.3556 164.376 154.961127225.2742 205.6452 189.8025 176.693067 165.62976 156.143018226.8962 207.125829 191.169 177.9652 166.8222 157.2672228.4426 208.537543 192.4719 179.178133 167.9592 158.339127229.9204 209.886514 193.7169 180.3372 169.04568 159.363382231.3352 211.178057 194.90895 181.446933 170.08596 160.344232.6922 212.4168 196.0524 182.511333 171.08364 161.284582

233.996 213.607029 197.15085 183.533867 172.04232 162.188291235.2506 214.752343 198.2079 184.518 172.96464 163.057855236.4596 215.856 199.22655 185.466267 173.8536 163.895782237.6262 216.920914 200.20935 186.3812 174.71124 164.704364238.7532 217.949657 201.15885 187.265067 175.53984 165.485564239.8432 218.944629 202.0773 188.120133 176.34132 166.241018240.8986 219.908057 202.9665 188.947867 177.11724 166.972582241.9216 220.842 203.8284 189.750267 177.8694 167.681673

242.914 221.747829 204.6645 190.528667 178.599 168.369491243.8776 222.6276 205.47645 191.2844 179.30748 169.037345

244.814 223.482343 206.26545 192.018933 179.99604 169.686545245.7248 224.313943 207.03285 192.733333 180.66576 170.317855246.6114 225.123086 207.77985 193.428667 181.31748 170.932255

247.475 225.911486 208.50735 194.106 181.9524 171.530836248.3166 226.679657 209.2164 194.766133 182.57124 172.114145249.1374 227.429143 209.90805 195.41 183.17472 172.683164249.9384 228.160286 210.58305 196.038267 183.76368 173.238327250.7208 228.874457 211.242 196.651867 184.33884 173.780509

251.485 229.572 211.88595 197.251333 184.90068 174.310255252.232 230.253943 212.51535 197.8372 185.45004 174.828109

252.9626 230.920971 213.13095 198.410267 185.98716 175.334509253.6776 231.5736 213.73335 198.971067 186.51288 175.83254.3774 232.212514 214.323 199.52 187.02744 176.315127

255.063 232.838229 214.9005 200.0576 187.53132 176.790218255.7346 233.451257 215.46645 200.5844 188.02512 177.255709256.3928 234.052286 216.021 201.100667 188.5092 177.712036257.0384 234.641486 216.5649 201.607067 188.9838 178.159418257.6716 235.219543 217.09845 202.103733 189.44928 178.598291

258.293 235.7868 217.62195 202.591067 189.90624 179.028982258.903 236.3436 218.13585 203.069467 190.35468 179.451818

259.5018 236.890457 218.6406 203.539333 190.79508 179.867018260.0902 237.427543 219.13635 204.0008 191.22768 180.2748260.6684 237.955371 219.6234 204.454267 191.65272 180.675491261.2368 238.474114 220.1022 204.9 192.07056 181.069418261.7954 238.984114 220.5729 205.338267 192.48132 181.456691

262.345 239.485714 221.03595 205.7692 192.88536 181.837527

Page 7: Método de Chow

262.8854 239.979257 221.49135 206.1932 193.2828 182.212255263.4174 240.464743 221.93955 206.6104 193.67388 182.580873263.9408 240.942686 222.38055 207.021067 194.05872 182.943709264.4562 241.413086 222.8148 207.425333 194.43768 183.300982264.9638 241.876457 223.24245 207.823333 194.81088 183.6528265.4638 242.3328 223.66365 208.215467 195.17844 183.999273265.9562 242.782457 224.07855 208.601733 195.54048 184.340618266.4416 243.225429 224.48745 208.9824 195.89736 184.677055266.9198 243.662057 224.8905 209.3576 196.24908 185.008582267.3914 244.092514 225.2877 209.727467 196.59576 185.335418267.8564 244.516971 225.6795 210.092133 196.93752 185.657673268.3148 244.935429 226.0659 210.451733 197.27472 185.975455268.7672 245.3484 226.4469 210.806533 197.60724 186.288982269.2134 245.755714 226.8228 211.156533 197.93532 186.598255269.6536 246.157714 227.1939 211.501867 198.25908 186.903491270.0882 246.5544 227.5599 211.842667 198.57852 187.204691270.5172 246.945943 227.9214 212.1792 198.89388 187.501964270.9406 247.332514 228.27825 212.511333 199.20528 187.795527271.3588 247.714286 228.63045 212.839333 199.51272 188.085273271.7718 248.091257 228.97845 213.1632 199.81632 188.371527272.1796 248.4636 229.3221 213.483067 200.1162 188.654291272.5826 248.831486 229.66155 213.7992 200.41248 188.933564272.9808 249.194914 229.9971 214.111467 200.70516 189.209564273.3742 249.554057 230.32845 214.42 200.99448 189.482182

273.763 249.908914 230.65605 214.724933 201.28032 189.751636274.1472 250.259657 230.9799 215.0264 201.56292 190.018036274.5272 250.606629 231.3 215.3244 201.84228 190.281382274.9028 250.949486 231.6165 215.619067 202.1184 190.541782275.2742 251.288571 231.9294 215.9104 202.39152 190.799236275.6416 251.623886 232.23885 216.1984 202.66152 191.053855

276.005 251.955429 232.545 216.483467 202.92864 191.305636276.3644 252.283543 232.84785 216.765333 203.19288 191.554691276.7198 252.608229 233.1474 217.044133 203.45436 191.801127277.0716 252.929314 233.4438 217.320133 203.71296 192.044945277.4198 253.246971 233.73705 217.593067 203.96892 192.286255277.7642 253.561543 234.0273 217.863333 204.22224 192.525055278.1052 253.872686 234.31455 218.1308 204.47292 192.761345278.4426 254.180914 234.59895 218.395467 204.72096 192.995345278.7768 254.485886 234.88035 218.657467 204.96672 193.226836

Page 8: Método de Chow
Page 9: Método de Chow

t (mins)60 65 70 75 80 85

t (mins)60 65 70 75 80 85

82.518 78.4776 74.89405714 71.68984 68.804325 66.1894588297.646 92.86486154 88.62445714 84.8328 81.4182 78.32392941

106.4953 101.2809231 96.65622857 92.52088 88.796925 85.42221176112.774 107.2522154 102.3547714 97.97568 94.03215 90.45847059

117.6442 111.8838462 106.7749714 102.2068 98.092875 94.36489412121.6234 115.6681846 110.3865429 105.66384 101.4108 97.55668235124.9877 118.8678462 113.4400286 108.58672 104.216025 100.2553412127.9021 121.6394769 116.0851714 111.11864 106.646025 102.5930118130.4727 124.0842462 118.4183143 113.35192 108.78945 104.6549647132.7722 126.2712 120.5053714 115.34968 110.706825 106.4994353134.8524 128.2494462 122.3933143 117.15688 112.441275 108.168136.7514 130.0555385 124.1168571 118.80672 114.02475 109.6912235138.4983 131.7168923 125.7024 120.32448 115.481325 111.0924706140.1158 133.2551077 127.1704286 121.72968 116.829975 112.3898824141.6215 134.6871692 128.5370571 123.03784 118.085475 113.5976471143.0301 136.0268308 129.8154857 124.2616 119.259975 114.7274824

Page 10: Método de Chow

144.3532 137.2851692 131.0164286 125.41104 120.363225 115.7888471145.6007 138.4716 132.1486286 126.49488 121.4034 116.7895059146.7808 139.5937846 133.2196286 127.52008 122.387325 117.7360235147.9002 140.6584615 134.2356857 128.49264 123.3207 118.6339765148.9651 141.6711692 135.2022 129.41776 124.208625 119.4880941149.9804 142.6368 136.1236286 130.29984 125.055225 120.3024706150.9506 143.5594154 137.0041714 131.14272 125.8641 121.0807059151.8794 144.4428 137.8472571 131.94968 126.638625 121.8257647152.7704 145.2901846 138.6558857 132.72368 127.3815 122.5404153.6264 146.1042462 139.4328 133.46736 128.095275 123.2270118154.4501 146.8875692 140.1804 134.18296 128.78205 123.8877176155.2438 147.6424615 140.9007429 134.87256 129.44385 124.5243529156.0097 148.3708615 141.5958857 135.53792 130.082475 125.1386824156.7496 149.0745231 142.2674571 136.18072 130.699425 125.7321882157.4652 149.7551077 142.9169143 136.80248 131.296125 126.3062118158.1581 150.4140923 143.5458857 137.40448 131.87385 126.8620235158.8297 151.0527692 144.1554 137.98792 132.433875 127.4007529159.4813 151.6724308 144.7467429 138.554 132.9771 127.9233882160.1139 152.2740923 145.3209429 139.1036 133.50465 128.4308471160.7288 152.8588615 145.8790286 139.63776 134.017275 128.9239765161.3268 153.4275692 146.4216857 140.15728 134.515875 129.4036235161.9088 153.9811385 146.9500286 140.66296 135.0012 129.8704941162.4757 154.5203077 147.4645714 141.15552 135.473925 130.3252941163.0283 155.0458154 147.9660857 141.63552 135.93465 130.7685176163.5672 155.5583077 148.4551714 142.10376 136.383975 131.2007294164.0931 156.0585231 148.9325143 142.56064 136.8225 131.6226353164.6067 156.5469231 149.3986286 143.00688 137.25075 132.0345882165.1084 157.0240615 149.8540286 143.44272 137.6691 132.4370118165.5989 157.4905846 150.2991429 143.86888 138.078075 132.8304706166.0786 157.9467692 150.7345714 144.2856 138.47805 133.2152471

166.548 158.3931692 151.1605714 144.69344 138.8694 133.5916941167.0075 158.8301538 151.5775714 145.09256 139.2525 133.9603059167.4575 159.2580923 151.986 145.4836 139.6278 134.3212235167.8984 159.6774462 152.3862 145.86664 139.99545 134.6749412168.3306 160.0884923 152.7785143 146.24208 140.35575 135.0216168.7544 160.4915077 153.1631143 146.61032 140.70915 135.3615529169.1702 160.8869538 153.5404286 146.97152 141.0558 135.6950118169.5781 161.2749231 153.9107143 147.32592 141.395925 136.0222588169.9786 161.6557846 154.2742286 147.67384 141.7299 136.3434353170.3718 162.0297231 154.6311429 148.01552 142.0578 136.6588941170.7581 162.3971077 154.9817143 148.35112 142.37985 136.9687765171.1377 162.7581231 155.3262 148.68088 142.69635 137.2732235171.5108 163.1129538 155.6648571 149.00496 143.00745 137.5725176171.8776 163.4617846 155.9977714 149.32368 143.3133 137.8667294172.2384 163.8048923 156.3252 149.63712 143.614125 138.1560706

Page 11: Método de Chow

172.5933 164.1424615 156.6473143 149.94544 143.91 138.4407529172.9425 164.4744923 156.9642857 150.2488 144.201225 138.7208471173.2862 164.8014462 157.2762 150.54744 144.4878 138.9965647173.6246 165.1232308 157.5833143 150.84136 144.76995 139.2679765173.9578 165.4401231 157.8857143 151.13088 145.04775 139.5352941

174.286 165.7522154 158.1836571 151.416 145.321425 139.7985176174.6093 166.0597846 158.4771429 151.69696 145.59105 140.0578588174.9279 166.3628308 158.7662571 151.97376 145.8567 140.3134588

175.242 166.6614462 159.0513429 152.24656 146.118525 140.5653176175.5516 166.9559077 159.3323143 152.51552 146.376675 140.8136471175.8568 167.2462154 159.6093429 152.78072 146.631225 141.0585176176.1579 167.5324615 159.8826 153.04224 146.882175 141.3176.4548 167.8149231 160.1520857 153.30024 147.129825 141.5381647176.7478 168.0935077 160.4179714 153.55472 147.3741 141.7731529177.0368 168.3684 160.6803429 153.80592 147.61515 142.0050353177.3221 168.6397846 160.9392857 154.05376 147.852975 142.2338824177.6038 168.9075692 161.1948857 154.2984 148.0878 142.4597647177.8818 169.1720308 161.4472286 154.54 148.319625 142.6828235178.1563 169.4330769 161.6964 154.77848 148.548525 142.9029882178.4274 169.6908923 161.9424857 155.014 148.77465 143.1204706178.6952 169.9456615 162.1854857 155.24672 148.997925 143.3352706178.9598 170.1972 162.4256571 155.47648 149.2185 143.5474588179.2212 170.4457846 162.6628286 155.7036 149.43645 143.7571765179.4795 170.6914154 162.8972571 155.928 149.651775 143.9643529179.7347 170.9341846 163.1289429 156.14976 149.864625 144.1690588

179.987 171.1741846 163.3579714 156.36896 150.075 144.3715059180.2365 171.4114154 163.5843429 156.58568 150.282975 144.5715529180.4831 171.6459692 163.8082286 156.79992 150.488625 144.7693412

180.727 171.8778462 164.0295429 157.01176 150.69195 144.9649412180.9681 172.1072308 164.2483714 157.22128 150.893025 145.1584235181.2066 172.3340308 164.4648857 157.42856 151.091925 145.3497176181.4426 172.5584308 164.6790857 157.63352 151.28865 145.5389647

181.676 172.7804308 164.8908857 157.83632 151.48335 145.7262353181.907 173.0001231 165.1005429 158.03696 151.675875 145.9114588

182.1355 173.2174154 165.3079714 158.23552 151.86645 146.0947765182.3617 173.4325846 165.5132571 158.432 152.055 146.2761882182.5855 173.6454462 165.7164 158.62648 152.241675 146.4557647182.8071 173.8561846 165.9174857 158.81896 152.4264 146.6335059183.0265 174.0648 166.1166 159.00952 152.609325 146.8094824

Page 12: Método de Chow
Page 13: Método de Chow

t (mins)90 95 100 105 110 115

t (mins)90 95 100 105 110 115

63.80666667 61.62461053 59.6175 57.76388571 56.04572727 54.4479130475.50433333 72.92223158 70.54716 68.35371429 66.32061818 64.4298260982.34706667 79.53094737 76.94064 74.5484 72.33103636 70.26892174

87.202 84.21991579 81.47688 78.9436 76.59550909 74.411791390.96786667 87.85692632 84.99546 82.35274286 79.90325455 77.6252869694.04473333 90.82863158 87.87036 85.13828571 82.60592727 80.25083478

96.6462 93.34111579 90.30102 87.49337143 84.89094545 82.4707826198.89973333 95.5176 92.40654 89.53348571 86.87034545 84.39375652100.8874667 97.43734737 94.26378 91.33291429 88.61634545 86.08993043102.6655333 99.15461053 95.92512 92.94262857 90.17814545 87.6072

104.274 100.7080421 97.428 94.3988 91.59098182 88.97973913105.7424 102.1262526 98.80002 95.72811429 92.88076364 90.2328

107.0932667 103.4309053 100.06218 96.95102857 94.06729091 91.38547826108.3438667 104.6388 101.23068 98.08325714 95.16583636 92.45269565109.5082667 105.7633263 102.3186 99.13731429 96.18856364 93.44629565

110.5974 106.8152211 103.33626 100.1233143 97.14523636 94.37566957

Page 14: Método de Chow

111.6205333 107.8033263 104.29218 101.0495429 98.04392727 95.24874783112.5851333 108.7349684 105.1935 101.9228 98.89118182 96.07184348

113.4976 109.6162105 106.04604 102.7488571 99.69267273 96.85048696114.3632 110.4522316 106.85484 103.5325143 100.4530364 97.58916522115.1866 111.2475158 107.62416 104.2778857 101.1762545 98.2917913

115.9716667 112.0057263 108.35772 104.9886286 101.8658727 98.96170435116.7218667 112.7302737 109.05864 105.6677714 102.5247818 99.60187826117.4401333 113.4239368 109.72974 106.318 103.1556545 100.2147652

118.129 114.0893053 110.37342 106.9416571 103.7607818 100.8026087118.7909333 114.7285263 110.99184 107.5408571 104.3421818 101.3674435119.4278667 115.3436842 111.58692 108.1174857 104.9016 101.9109391

120.0416 115.9364211 112.1604 108.6730857 105.4407273 102.4346609120.6338 116.5083789 112.71372 109.2092 105.9608727 102.9400174

121.2059333 117.0609474 113.24832 109.7271429 106.4634545 103.4282087121.7592667 117.5953895 113.76534 110.2281143 106.9495091 103.9004348122.2950667 118.1129053 114.26592 110.7132 107.4201273 104.3576348

122.8144 118.6144421 114.75114 111.1833143 107.8762909 104.8007478123.3182 119.1010105 115.2219 111.6394286 108.3188182 105.2306609123.8074 119.5734947 115.67898 112.0822857 108.7484727 105.6481043124.2828 120.0326526 116.12316 112.5126857 109.1660727 106.0538087124.7452 120.4791789 116.55522 112.9312571 109.5722182 106.4484

125.1952667 120.9138947 116.9757 113.3386857 109.9675636 106.8324522125.6336 121.3372421 117.38532 113.7355429 110.3526 107.206487

126.0609333 121.7499158 117.7845 114.1223429 110.7278727 107.5710783126.4776 122.1523579 118.1739 114.4996 111.0939273 107.9266957

126.8842667 122.5451368 118.55388 114.8677714 111.4511455 108.2737043127.2814 122.9286947 118.92486 115.2272571 111.7999636 108.6125739127.6694 123.3033474 119.28738 115.5785143 112.1407091 108.9436696128.0486 123.6696632 119.64174 115.9218286 112.4738727 109.2673043

128.4195333 124.0278947 119.9883 116.2576571 112.7996727 109.5837913128.7824667 124.3784211 120.32742 116.5862286 113.1184364 109.8934957

129.1378 124.7215579 120.6594 116.9078857 113.4305455 110.1966783129.4858 125.0576842 120.98454 117.2228571 113.7362182 110.4936522

129.8267333 125.3869263 121.30308 117.5315429 114.0356727 110.7845739130.1609333 125.7097263 121.61532 117.8340571 114.3292364 111.0697565

130.4886 126.0262105 121.92156 118.1307429 114.6170727 111.3494087130.8100667 126.3366947 122.22192 118.4217714 114.8994 111.623687131.1255333 126.6413053 122.51664 118.7073143 115.1764909 111.8929043

131.4352 126.9404211 122.80596 118.9876571 115.4485091 112.157113131.7392667 127.2341053 123.09006 119.2629714 115.7156182 112.4166261

132.038 127.5226105 123.36918 119.5333714 115.9779818 112.6714957132.3314667 127.8060632 123.64344 119.7990857 116.2357636 112.9219304

132.62 128.0846526 123.91296 120.0602286 116.4891818 113.1681391132.9036 128.3586316 124.17798 120.3170286 116.7382909 113.4101739

133.1825333 128.628 124.43862 120.5695429 116.9833636 113.6481913

Page 15: Método de Chow

133.457 128.8930737 124.695 120.818 117.2244 113.8823478133.727 129.1538526 124.9473 121.0624571 117.4615636 114.1128

133.9928 129.4105263 125.19564 121.3030286 117.6950182 114.3396134.2544 129.6632211 125.44014 121.5399429 117.9248182 114.5628522

134.5120667 129.9120632 125.68086 121.7732 118.1511273 114.782713134.7658667 130.1571789 125.91798 122.0029143 118.3740545 114.999287135.0158667 130.3986316 126.15156 122.2292571 118.5936545 115.2126261135.2622667 130.6366105 126.38178 122.4522857 118.8100909 115.422887135.5050667 130.8711158 126.60864 122.6721143 119.0233636 115.6300696135.7444667 131.1023368 126.83232 122.8888571 119.2336364 115.8343304135.9805333 131.3302737 127.05288 123.1025143 119.4409636 116.0357739136.2132667 131.5551158 127.27038 123.3132571 119.6454545 116.2344136.4428667 131.7768632 127.48488 123.5211429 119.8471091 116.430313

136.6694 131.9956421 127.69656 123.7262286 120.0460909 116.6236174136.8929333 132.2115158 127.90542 123.9285714 120.2424545 116.8143652137.1135333 132.4246105 128.11152 124.1282857 120.4362 117.0026087137.3313333 132.6349263 128.31498 124.3254286 120.6274909 117.1884522137.5463333 132.8425263 128.51586 124.5200571 120.8163273 117.3718957

137.7586 133.0475368 128.71422 124.7122286 121.0027636 117.5530435137.9682667 133.2500211 128.91012 124.902 121.1869091 117.7319478138.1753333 133.4500421 129.10356 125.0894857 121.3688182 117.9086609138.3798667 133.6476 129.29472 125.2746857 121.5484909 118.0831826

138.582 133.8428211 129.48354 125.4576571 121.7260364 118.2556696138.7817333 134.0357053 129.67014 125.6384571 121.9014545 118.4261217138.9790667 134.2263158 129.85458 125.8171429 122.0748 118.5945391

139.1742 134.4147789 130.03686 125.9937714 122.2461818 118.7610261139.3670667 134.6010316 130.2171 126.1683429 122.4156 118.9255826139.5577333 134.7852 130.39524 126.3410286 122.5831091 119.088313139.7463333 134.9673474 130.57146 126.5117143 122.7487091 119.2492174

139.9328 135.1474105 130.7457 126.6805143 122.9125091 119.4083478140.1172667 135.3255789 130.91802 126.8474857 123.0745636 119.5657565140.2996667 135.5017895 131.08848 127.0126857 123.2348182 119.7214435

140.4802 135.6761053 131.25714 127.1760571 123.3933273 119.8754609140.6588 135.8485895 131.424 127.3377714 123.5502 120.0278609

140.8354667 136.0192421 131.58912 127.4977143 123.7054364 120.1786435141.0104 136.1881263 131.7525 127.6560571 123.8590364 120.3278609

141.1834667 136.3553053 131.9142 127.8127429 124.0110545 120.4755652141.3548 136.5207789 132.07434 127.9678286 124.1615455 120.6218087141.5244 136.6846105 132.2328 128.1213714 124.3105636 120.7665391

Page 16: Método de Chow
Page 17: Método de Chow

t (mins)120 125 130 135 140 145

t (mins)120 125 130 135 140 145

52.9574 51.563184 50.25558462 49.02635556 47.86825714 46.7748413862.6661 61.016256 59.46895385 58.0144 56.64394286 55.35008276

68.34535 66.545952 64.85843077 63.27204444 61.77741429 60.3662896672.3748 70.469328 68.68232308 67.0024 65.41962857 63.9253655275.5003 73.512576 71.64835385 69.89591111 68.24477143 66.68594483

78.054 75.999024 74.0718 72.26004444 70.5531 68.9415310380.21315 78.101328 76.1208 74.25893333 72.50472857 70.84862069

82.0835 79.922448 77.89569231 75.9904 74.19531429 72.500606983.73325 81.528768 79.46127692 77.51768889 75.68652857 73.95773793

85.209 82.965648 80.86172308 78.88391111 77.02045714 75.2611862186.544 84.265488 82.1286 80.11977778 78.22718571 76.44033103

87.7627 85.452144 83.28516923 81.24808889 79.32878571 77.5167724188.88385 86.54376 84.34910769 82.286 80.34218571 78.5070206989.92185 87.554448 85.33416923 83.24693333 81.28041429 79.42386207

90.8882 88.495344 86.2512 84.14155556 82.15392857 80.277393191.7922 89.37552 87.10906154 84.97844444 82.97104286 81.07584828

Page 18: Método de Chow

92.64135 90.20232 87.91490769 85.76453333 83.73857143 81.8258482893.44195 90.98184 88.67464615 86.50573333 84.46225714 82.5329793194.19925 91.719216 89.39330769 87.2068 85.14677143 83.20187586

94.9177 92.41872 90.07513846 87.87191111 85.79618571 83.8364689795.6011 93.084144 90.72364615 88.50457778 86.41388571 84.44006897

96.25265 93.71856 91.34196923 89.10782222 87.00287143 85.0155724196.8753 94.3248 91.93283077 89.68422222 87.56567143 85.5655034597.4714 94.905216 92.49853846 90.23608889 88.10447143 86.0920551798.0432 95.461968 93.04116923 90.76542222 88.62132857 86.59704828

98.59255 95.996832 93.56247692 91.274 89.11787143 87.0822620799.12115 96.511536 94.06412308 91.76337778 89.59568571 87.5491862199.63055 97.00752 94.54753846 92.23493333 90.05614286 87.99910345

100.12205 97.48608 95.01396923 92.69 90.5004 88.43325517100.5969 97.948416 95.46456923 93.1296 90.92961429 88.85263448101.0562 98.395632 95.90044615 93.55475556 91.34477143 89.25831724101.5009 98.828592 96.32243077 93.96644444 91.74672857 89.65108966101.9319 99.248256 96.73144615 94.36546667 92.1363 90.03177931

102.35005 99.655392 97.12827692 94.75257778 92.51425714 90.40108966102.75605 100.05072 97.51356923 95.12844444 92.88128571 90.75972414103.15065 100.434912 97.88801538 95.49373333 93.23794286 91.10822069

103.5344 100.808592 98.25221538 95.84902222 93.58482857 91.4472103.90795 101.172288 98.60667692 96.19484444 93.92245714 91.77711724104.27175 101.526528 98.95195385 96.53164444 94.25134286 92.09846897

104.6264 101.87184 99.28850769 96.85995556 94.57187143 92.41171034104.97225 102.20856 99.61670769 97.18013333 94.88451429 92.71717241

105.3098 102.537216 99.93701538 97.49262222 95.18957143 93.01531034105.63935 102.858144 100.2498 97.79773333 95.48751429 93.30641379105.96135 103.17168 100.5553385 98.09582222 95.77855714 93.59081379106.27615 103.47816 100.8540462 98.38724444 96.06308571 93.86884138

106.584 103.777872 101.1462 98.67222222 96.34135714 94.14074483106.8852 104.0712 101.4320769 98.95111111 96.61362857 94.40681379107.1801 104.358336 101.7119077 99.22408889 96.8802 94.66729655107.4689 104.63952 101.9860154 99.49146667 97.14124286 94.92235862107.7519 104.91504 102.2545385 99.75342222 97.39701429 95.17228966

108.02925 105.185088 102.5177538 100.0102222 97.64772857 95.41729655108.30125 105.449952 102.7758462 100.262 97.89355714 95.65754483108.56805 105.709728 103.0290462 100.5090222 98.13475714 95.8932108.82985 105.964608 103.2774923 100.7513778 98.37137143 96.12442759109.08685 106.21488 103.5214154 100.9893333 98.6037 96.35143448109.33925 106.460592 103.7609077 101.2229778 98.83182857 96.57434483109.58715 106.701984 103.9961538 101.4524889 99.05592857 96.79332414109.83075 106.9392 104.2273385 101.678 99.27612857 97.00849655

110.0702 107.172336 104.4545538 101.8996444 99.49251429 97.21998621110.3056 107.401536 104.6779846 102.1176 99.70534286 97.42787586

110.53715 107.626944 104.8976769 102.3319111 99.91461429 97.63237241

Page 19: Método de Chow

110.7649 107.848704 105.1138154 102.5428 100.1204571 97.83355862110.989 108.066912 105.3264923 102.7502667 100.3230429 98.03151724

111.2096 108.281712 105.5358 102.9544444 100.5224143 98.22633103111.42675 108.493152 105.7418769 103.1555111 100.7187 98.41812414

111.6406 108.701376 105.9448154 103.3534667 100.9120286 98.60702069111.8512 108.906432 106.1447077 103.5484889 101.1024 98.79306207

112.05875 109.108512 106.3416462 103.7405778 101.2899857 98.97633103112.2632 109.307568 106.5356769 103.9298667 101.4747857 99.15695172

112.46475 109.50384 106.7269385 104.1164444 101.6569714 99.33496552112.66345 109.69728 106.9154769 104.3004 101.8365429 99.51045517112.85935 109.888032 107.1013846 104.4817333 102.0136286 99.68346207113.05255 110.076144 107.2847538 104.6606222 102.1882714 99.85411034

113.2431 110.261664 107.4655846 104.8370222 102.3605143 100.0224414113.4311 110.444736 107.6440154 105.0111111 102.5304857 100.1884966

113.61665 110.62536 107.8200462 105.1828444 102.6981429 100.3523586113.79975 110.80368 107.9938154 105.3523556 102.8636571 100.5141103113.98045 110.979648 108.1653231 105.5196444 103.0270286 100.6737103

114.1589 111.15336 108.3346615 105.6848444 103.1883 100.8313241114.3351 111.324912 108.5018769 105.8479556 103.3475571 100.9869517114.5091 111.494352 108.6669692 106.0090222 103.5048429 101.1406345

114.68095 111.66168 108.8300769 106.1681333 103.6602 101.2924138114.85075 111.826992 108.9912 106.3253333 103.8136714 101.4423724115.01845 111.990288 109.1503846 106.4806222 103.9653 101.5905517115.18425 112.151712 109.3076769 106.6340889 104.1151286 101.7369517115.34805 112.311216 109.4631692 106.7857333 104.2632 101.8816552

115.51 112.468896 109.6168154 106.9356444 104.4095571 102.0246621115.67005 112.624752 109.7687077 107.0838667 104.5542429 102.1660552115.82835 112.778832 109.9189385 107.2303556 104.6973 102.3058759115.98485 112.931232 110.0674154 107.3752444 104.8387714 102.4440828

116.1396 113.081904 110.2143231 107.5185333 104.9786571 102.5808116.2927 113.230992 110.3595692 107.6602667 105.1170429 102.7159862116.4441 113.3784 110.5032923 107.8004444 105.2539286 102.8497655116.5939 113.524272 110.6454462 107.9391111 105.3893143 102.9820552

116.74215 113.668608 110.7861231 108.0763556 105.5232857 103.1129793116.8888 113.811408 110.9252769 108.2121333 105.6558857 103.2425379

117.03395 113.95272 111.0630462 108.3464889 105.7870714 103.370731117.1776 114.092592 111.1993846 108.4794667 105.9169286 103.4976117.3198 114.231072 111.3342923 108.6111111 106.0454571 103.6232276117.4606 114.368112 111.4679077 108.7414667 106.1727 103.7475724

Page 20: Método de Chow
Page 21: Método de Chow

t (mins)150 155 160 165 170 175

t (mins)150 155 160 165 170 175

45.7406 44.76054194 43.830225 42.94581818 42.10372941 41.3008114354.12624 52.96649032 51.86565 50.81909091 49.82258824 48.8725028659.03152 57.76668387 56.56605 55.42465455 54.33787059 53.3016685762.51188 61.17243871 59.901075 58.69232727 57.54148235 56.4441942965.21144 63.81418065 62.4879 61.22698182 60.0264 58.8817371467.41716 65.97263226 64.601475 63.29789091 62.05672941 60.8733669.28208 67.79756129 66.3885 65.04887273 63.77336471 62.5572342970.89752 69.37842581 67.9364625 66.5656 65.26037647 64.0158857172.32244 70.77282581 69.301875 67.90345455 66.57201176 65.3025257173.59708 72.02012903 70.5232875 69.10021818 67.74529412 66.4534285774.75016 73.14847742 71.6281875 70.18283636 68.80665882 67.49458286

75.8028 74.17858065 72.6369 71.17116364 69.77562353 68.4450514376.77116 75.12619355 73.5648 72.08036364 70.66697647 69.3194057177.66768 76.00354839 74.4238875 72.92210909 71.49225882 70.1289257178.50236 76.82032258 75.223725 73.70578182 72.26054118 70.8825942979.28316 77.58437419 75.9718875 74.43887273 72.97927059 71.58757714

Page 22: Método de Chow

80.0166 78.30209032 76.674675 75.12749091 73.65437647 72.2498480.70808 78.97877419 77.3373 75.77672727 74.29090588 72.87421714

81.3622 79.61883871 77.964075 76.39087273 74.89298824 73.4648228681.98272 80.22611613 78.5587125 76.97349091 75.46418824 74.02512

82.573 80.80370323 79.124325 77.52767273 76.00750588 74.5580914383.13576 81.35446452 79.6636125 78.05610909 76.52555294 75.0662483.67356 81.88068387 80.1789 78.56101818 77.02058824 75.5518285784.18844 82.38456774 80.6722875 79.04443636 77.49451765 76.0167428684.68228 82.86781935 81.1455375 79.50810909 77.94910588 76.46266286

85.1568 83.33214194 81.6001875 79.95363636 78.38587059 76.8910971485.61336 83.77896774 82.0377 80.38229091 78.80615294 77.3033485786.05332 84.20949677 82.4593125 80.79538182 79.21115294 77.7006171486.47788 84.62492903 82.8661125 81.194 79.60192941 78.08396571

86.888 85.02627097 83.2591125 81.57905455 79.97943529 78.4542857187.28468 85.41445161 83.63925 81.95152727 80.34458824 78.81246857

87.6688 85.79032258 84.007275 82.31214545 80.69812941 79.1592685788.04104 86.15461935 84.3640125 82.66167273 81.0408 79.49540571

88.4022 86.50803871 84.7101 83.00076364 81.37327059 79.8215314388.75292 86.85123871 85.0461375 83.33 81.69607059 80.1381689.09372 87.18472258 85.372725 83.65 82.00976471 80.44590857

89.4252 87.50910968 85.69035 83.96123636 82.31488235 80.7451885789.7478 87.82482581 85.9995 84.26414545 82.61188235 81.03651429

90.06208 88.13233548 86.300625 84.5592 82.90111765 81.3202628690.36836 88.43206452 86.5941 84.84676364 83.18308235 81.5968114390.66708 88.7244 86.880375 85.12723636 83.45805882 81.86653714

90.9586 89.00969032 87.1597125 85.40094545 83.7264 82.1297828691.24328 89.28824516 87.4324875 85.66821818 83.98842353 82.38682286

91.5214 89.5604129 87.699 85.92934545 84.24444706 82.6379314391.79328 89.82646452 87.95955 86.18461818 84.49471765 82.88341714

92.0592 90.08667097 88.214325 86.43429091 84.73944706 83.1235292.31936 90.34126452 88.463625 86.67854545 84.97895294 83.3584457192.57408 90.59051613 88.7077125 86.91770909 85.21341176 83.5884342992.82352 90.83461935 88.9467375 87.15192727 85.44303529 83.8136571493.06792 91.07380645 89.180925 87.38138182 85.668 84.0343542993.30752 91.30823226 89.4105 87.60632727 85.88851765 84.25066286

93.5424 91.53812903 89.6356125 87.82687273 86.10476471 84.4627885793.77288 91.7636129 89.8564125 88.04323636 86.31688235 84.67086857

93.999 91.98491613 90.073125 88.25556364 86.52504706 84.8750494.221 92.20215484 90.285825 88.464 86.72936471 85.07547429

94.43896 92.41544516 90.4947 88.66865455 86.93001176 85.2723085794.65308 92.62498065 90.6999 88.86970909 87.12712941 85.4656457194.86352 92.83087742 90.9015375 89.06723636 87.32078824 85.6556228695.07032 93.03325161 91.0996875 89.26141818 87.51116471 85.8423771495.27364 93.23225806 91.2945375 89.45232727 87.69832941 86.02597714

95.4736 93.42793548 91.4861625 89.64007273 87.88238824 86.20652571

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95.67032 93.62043871 91.6746375 89.82476364 88.06348235 86.3841695.86392 93.80984516 91.86015 90.00650909 88.24164706 86.5589485796.05444 93.99630968 92.0427 90.18541818 88.41702353 86.73096

96.242 94.17983226 92.2224375 90.36152727 88.58968235 86.9003314396.42668 94.36060645 92.3994375 90.53494545 88.75969412 87.0670971496.60864 94.53863226 92.5737375 90.70574545 88.92716471 87.2313696.78784 94.71402581 92.7454875 90.87403636 89.09212941 87.3931885796.96448 94.88682581 92.914725 91.03985455 89.25472941 87.5526857197.13856 95.0571871 93.081525 91.20327273 89.41496471 87.7098514397.31016 95.22510968 93.2459625 91.3644 89.57290588 87.8647885797.47936 95.39070968 93.4081125 91.52327273 89.72865882 88.0175657197.64624 95.5539871 93.5680125 91.67992727 89.88225882 88.1682514397.81084 95.71505806 93.7257375 91.83447273 90.03377647 88.31688

97.9732 95.87396129 93.8813625 91.98694545 90.18324706 88.4635298.13344 96.03077419 94.0348875 92.13741818 90.33074118 88.60820571

98.2916 96.18553548 94.186425 92.28589091 90.47632941 88.7509714398.44772 96.33828387 94.3360125 92.43243636 90.62001176 88.89195429

98.6018 96.48909677 94.4836875 92.57716364 90.76189412 89.0310857198.754 96.6380129 94.629525 92.72003636 90.90194118 89.16850286

98.90428 96.78507097 94.773525 92.86112727 91.04029412 89.3042057199.05272 96.93034839 94.9157625 93.00050909 91.17691765 89.4382285799.19936 97.07384516 95.0563125 93.13818182 91.31191765 89.5706499.34424 97.21563871 95.1951375 93.27421818 91.44529412 89.7014742999.48744 97.35572903 95.3323125 93.40865455 91.57708235 89.8307314399.62892 97.49419355 95.4679125 93.54149091 91.70731765 89.95851429

99.7688 97.63107097 95.6019375 93.6728 91.83607059 90.0847885799.90704 97.76636129 95.734425 93.80261818 91.96334118 90.20962286

100.04376 97.90014194 95.8654125 93.93098182 92.08916471 90.33308571100.17892 98.0324129 95.9949375 94.05789091 92.21357647 90.45510857

100.3126 98.16325161 96.1230375 94.18341818 92.33664706 90.57582857100.44484 98.29261935 96.24975 94.30752727 92.45834118 90.69521143

100.5756 98.42059355 96.375075 94.43032727 92.57872941 90.81329143100.705 98.5472129 96.49905 94.55181818 92.69784706 90.93013714

100.83304 98.67251613 96.6217125 94.67203636 92.81569412 91.04574857100.95972 98.79646452 96.7431 94.79098182 92.93227059 91.16012571101.08508 98.91913548 96.86325 94.90869091 93.04768235 91.27330286101.20916 99.04056774 96.9821625 95.02516364 93.16189412 91.38534857101.33196 99.16076129 97.0998375 95.14050909 93.27497647 91.49626286101.45356 99.27975484 97.21635 95.25465455 93.38689412 91.60604571

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t (mins)180 185 190 195 200 205

t (mins)180 185 190 195 200 205

40.5343 39.80153514 39.10026316 38.42836923 37.78395 37.165247.96543333 47.09837838 46.26852632 45.47347692 44.71089 43.9787122

52.3124 51.36674595 50.46170526 49.59458462 48.76287 47.9643512255.3966 54.39518919 53.43678947 52.51855385 51.63783 50.7922243957.7889 56.74423784 55.74448421 54.78655385 53.86779 52.98567805

59.74356667 58.66355676 57.62996842 56.63966154 55.68981 54.7778634161.3962 60.28631351 59.22413684 58.20643077 57.23031 56.29314146

62.82776667 61.69203243 60.60505263 59.56363077 58.56477 57.6057073264.0905 62.93192432 61.82314737 60.76076923 59.74182 58.76350244

65.22006667 64.04108108 62.91274737 61.83166154 60.79473 59.7991609866.24186667 65.04441081 63.89838947 62.80036923 61.7472 60.73606829

67.1747 65.9604 64.79823158 63.68473846 62.61675 61.5913756168.03283333 66.80299459 65.62601053 64.49830769 63.41667 62.3781658568.82736667 67.58315676 66.3924 65.25150769 64.15725 63.10662439

69.567 68.30944865 67.10589474 65.95276923 64.84674 63.7848292770.25893333 68.98884324 67.77331579 66.60870769 65.49168 64.41921951

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70.90886667 69.62704865 68.40028421 67.22489231 66.09753 65.0151512271.52166667 70.22876757 68.99141053 67.80584615 66.66876 65.57701463

72.1013 70.79792432 69.55054737 68.35538462 67.20906 66.1084682972.65123333 71.33789189 70.08101053 68.87673846 67.72167 66.61267317

73.1743 71.85152432 70.58557895 69.37261538 68.20926 67.0922926873.67303333 72.34125405 71.06665263 69.84544615 68.67414 67.54955122

74.1496 72.80918919 71.52634737 70.29726154 69.11838 67.9865268374.60586667 73.25721081 71.96649474 70.72984615 69.54369 68.4048585475.04353333 73.68697297 72.38867368 71.14473846 69.95166 68.80612683

75.464 74.09983784 72.79427368 71.54338462 70.34361 69.1916780575.86863333 74.49713514 73.18455789 71.92695385 70.72074 69.56265366

76.2585 74.87996757 73.56066316 72.29661538 71.08419 69.9201365976.63473333 75.24937297 73.92356842 72.65326154 71.43489 70.2650926876.99816667 75.60625946 74.27415789 72.99784615 71.77368 70.5983122

77.3497 75.95147027 74.61325263 73.33110769 72.10134 70.920643977.6901 76.28568649 74.94161053 73.65381538 72.41862 71.23273171

78.02 76.60962162 75.25983158 73.96655385 72.72615 71.5352195178.34003333 76.92389189 75.56854737 74.27 73.02447 71.82866341

78.6508 77.22904865 75.86832632 74.56461538 73.31418 72.1135902478.95283333 77.52557838 76.15967368 74.85095385 73.5957 72.3904975679.24656667 77.81403243 76.443 75.12941538 73.86951 72.6598243979.53246667 78.09476757 76.71881053 75.40046154 74.136 72.9219804979.81096667 78.36820541 76.98742105 75.66449231 74.39559 73.17731707

80.0824 78.63473514 77.24927368 75.92181538 74.64861 73.4261853780.3471 78.89468108 77.50462105 76.1728 74.89536 73.66890732

80.60546667 79.14833514 77.75384211 76.41772308 75.1362 73.9057756180.85773333 79.39605405 77.99715789 76.65686154 75.37134 74.13708293

81.1042 79.63806486 78.23491579 76.89055385 75.60108 74.3630634181.34513333 79.87465946 78.46733684 77.11895385 75.82566 74.5839804981.58076667 80.10603243 78.69461053 77.34233846 76.04532 74.8000097681.81133333 80.33241081 78.91702105 77.56092308 76.26024 75.0114146382.03703333 80.55405405 79.13475789 77.77492308 76.47063 75.21837073

82.2581 80.77109189 79.34801053 77.98449231 76.6767 75.4210536682.4747 80.98378378 79.55693684 78.18981538 76.8786 75.61963902

82.687 81.19225946 79.76172632 78.39110769 77.07648 75.8143024482.89516667 81.39664865 79.96253684 78.58846154 77.27055 76.0051902483.09936667 81.59717838 80.15952632 78.78206154 77.4609 76.1924195183.29976667 81.79394595 80.35282105 78.97206154 77.64768 76.37616585

83.4965 81.98711351 80.54257895 79.15855385 77.83107 76.5565170783.68966667 82.17681081 80.72892632 79.34169231 78.01113 76.7336487883.87943333 82.36313514 80.91195789 79.5216 78.18801 76.9076195184.06586667 82.54621622 81.09183158 79.69836923 78.36183 77.0785756184.24913333 82.72618378 81.26861053 79.87209231 78.53265 77.2466341584.42933333 82.9031027 81.44242105 80.04292308 78.70062 77.4118243984.60653333 83.0771027 81.61335789 80.21092308 78.8658 77.57432195

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84.78086667 83.24828108 81.78151579 80.37618462 79.02828 77.734156184.9524 83.41673514 81.94698947 80.53883077 79.18818 77.89141463

85.12123333 83.5824973 82.10987368 80.69889231 79.34556 78.046243985.28746667 83.74572973 82.2702 80.85646154 79.50051 78.198643985.45113333 83.90643243 82.42809474 81.01166154 79.65309 78.3487024485.61236667 84.06473514 82.58358947 81.16449231 79.80336 78.49653659

85.7712 84.2207027 82.73681053 81.31507692 79.95141 78.6421463485.9277 84.3744 82.88778947 81.46344615 80.0973 78.78567805

86.08196667 84.52585946 83.03658947 81.60969231 80.24112 78.9271024486.23403333 84.67517838 83.18327368 81.75387692 80.38287 79.06653659

86.384 84.82242162 83.32793684 81.89603077 80.52264 79.2040097686.53186667 84.96762162 83.47057895 82.03621538 80.66049 79.3396097686.67773333 85.11084324 83.61126316 82.17449231 80.79645 79.4733365986.82163333 85.25215135 83.75008421 82.31092308 80.93058 79.6052780586.96363333 85.39157838 83.88707368 82.44556923 81.06294 79.7354926887.10376667 85.52918919 84.02226316 82.57843077 81.19359 79.8639804987.24213333 85.66504865 84.15568421 82.70956923 81.32253 79.99082927

87.3787 85.79912432 84.28743158 82.83904615 81.44985 80.1160390287.51353333 85.93154595 84.41753684 82.96689231 81.57555 80.2396975687.64673333 86.06234595 84.546 83.09316923 81.69969 80.3618048887.77826667 86.19149189 84.67288421 83.21787692 81.8223 80.4824195187.90823333 86.31911351 84.79825263 83.34107692 81.94344 80.6015707388.03663333 86.44517838 84.92210526 83.4628 82.06314 80.7192878

88.1635 86.56975135 85.04447368 83.58307692 82.1814 80.8356292788.2889 86.6928973 85.16542105 83.70196923 82.29828 80.95059512

88.41283333 86.81458378 85.28497895 83.81947692 82.41381 81.064243988.53536667 86.93490811 85.40317895 83.93563077 82.52802 81.17657561

88.6565 87.05383784 85.52005263 84.05046154 82.64094 81.2876487888.7763 87.17147027 85.6356 84.16403077 82.7526 81.39746341

88.89476667 87.28780541 85.74985263 84.27633846 82.86303 81.5061073289.01193333 87.40284324 85.86287368 84.38741538 82.97226 81.6135219589.12783333 87.51664865 85.97469474 84.49732308 83.08029 81.71979512

89.2425 87.62925405 86.08528421 84.606 83.18718 81.8249268389.35593333 87.74062703 86.19473684 84.71356923 83.29293 81.92894634

89.4682 87.85086486 86.30302105 84.82 83.39757 82.0318829389.5793 87.95996757 86.4102 84.92532308 83.50113 82.13373659

89.68926667 88.06793514 86.51627368 85.02956923 83.60364 82.2345658589.7981 88.1748 86.62124211 85.13276923 83.7051 82.33437073

89.90583333 88.28059459 86.7252 85.23492308 83.80551 82.43315122

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t (mins)210 215 220 225 230 235

36.57057143 35.99857674 35.44786364 34.91722667 34.40548696 33.9116170243.27505714 42.59818605 41.94654545 41.31861333 40.71305217 40.128638347.19694286 46.45872558 45.74800909 45.06317333 44.40273913 43.7653787249.97954286 49.19782326 48.4452 47.72 47.02061739 46.3456595752.13791429 51.32243721 50.53731818 49.78077333 49.0512 48.3471063853.90142857 53.05836279 52.24669091 51.46456 50.71030435 49.982455.39245714 54.52607442 53.69192727 52.88818667 52.11307826 51.3650297956.68402857 55.79746047 54.94388182 54.12136 53.32818261 52.5627063857.82328571 56.91890233 56.04815455 55.20912 54.40001739 53.61911489

58.8424 57.92204651 57.03597273 56.18216 55.35876522 54.5641276659.76428571 58.82952558 57.92956364 57.06237333 56.22607826 55.4189872360.60591429 59.65797209 58.74534545 57.86594667 57.01789565 56.1994212861.38014286 60.42008372 59.49578182 58.60514667 57.74626957 56.9173531962.09694286 61.12568372 60.19060909 59.28957333 58.42064348 57.5820510662.76428571 61.78258605 60.83743636 59.92672 59.04847826 58.2008680963.38854286 62.39706977 61.44253636 60.52274667 59.63574783 58.77972766

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63.97491429 62.97429767 62.01092727 61.08264 60.18743478 59.3234808564.5278 63.51851163 62.54680909 61.61050667 60.70758261 59.8361617

65.05077143 64.03331163 63.05372727 62.10984 61.19958261 60.3210893665.54688571 64.52168372 63.53462727 62.58354667 61.66635652 60.7811489466.01882857 64.98622326 63.99207273 63.03413333 62.11033043 61.2187659666.46877143 65.42916279 64.42821818 63.46376 62.53364348 61.6360085166.89874286 65.8524 64.845 63.87426667 62.93817391 62.03471489

67.3104 66.2576093 65.244 64.26733333 63.32546087 62.4164425567.70525714 66.64629767 65.62674545 64.64432 63.69693913 62.7825957468.08462857 67.01972093 65.99446364 65.00653333 64.05383478 63.1343744768.44965714 67.37905116 66.3483 65.35509333 64.39726957 63.472876668.80142857 67.72532093 66.68926364 65.69093333 64.7282087 63.7990723469.14085714 68.05942326 67.01828182 66.01501333 65.04753913 64.1138042669.46877143 68.38222326 67.33611818 66.32810667 65.35604348 64.4178893669.78594286 68.6944186 67.64353636 66.63093333 65.65442609 64.7119914970.09302857 68.99670698 67.94119091 66.92413333 65.94333913 64.9967489470.39065714 69.28970233 68.22970909 67.20832 66.22335652 65.27274894

70.6794 69.57393488 68.50958182 67.48402667 66.495 65.5405021370.9598 69.84993488 68.78138182 67.75173333 66.7587913 65.80049362

71.23228571 70.11814884 69.04549091 68.01189333 67.01514783 66.0531829871.49728571 70.37902326 69.30237273 68.26493333 67.26446087 66.2989276671.75525714 70.63292093 69.55240909 68.51122667 67.50714783 66.5381106472.00648571 70.88026047 69.79592727 68.75112 67.74352174 66.7710893672.25137143 71.12132093 70.03330909 68.98493333 67.97392174 66.9981957472.49022857 71.3564093 70.26482727 69.21296 68.1986087 67.2196595772.72331429 71.58586047 70.49075455 69.43552 68.41789565 67.4357872372.95091429 71.80989767 70.71136364 69.65282667 68.63201739 67.6468595773.17328571 72.02877209 70.9269 69.86514667 68.84123478 67.8530553273.39065714 72.24276279 71.13758182 70.07266667 69.04573043 68.0546042673.60322857 72.4520093 71.34365455 70.27565333 69.24573913 68.2517361773.81125714 72.6567907 71.54528182 70.47426667 69.44144348 68.4446297974.01488571 72.85724651 71.74268182 70.66872 69.63302609 68.6334638374.21434286 73.05357209 71.93599091 70.85912 69.82064348 68.8184170274.40974286 73.24590698 72.1254 71.04570667 70.00450435 68.9996170274.60128571 73.43447442 72.31107273 71.22858667 70.18468696 69.1772425574.78911429 73.61935814 72.49311818 71.40792 70.3614 69.3513957474.97334286 73.80069767 72.67172727 71.58384 70.53474783 69.5222553275.15414286 73.97868837 72.84695455 71.75645333 70.70483478 69.6898978775.33162857 74.15338605 73.01899091 71.92592 70.87181739 69.854476675.50591429 74.32495814 73.18794545 72.09232 71.03577391 70.0160936275.67711429 74.49346047 73.35387273 72.25578667 71.19683478 70.1748510675.84534286 74.65906047 73.51693636 72.4164 71.35510435 70.3308510676.01068571 74.82181395 73.67721818 72.57426667 71.51066087 70.4841702176.17325714 74.98183256 73.83477273 72.72949333 71.6636087 70.6349106476.33314286 75.13922791 73.98976364 72.88213333 71.81402609 70.78317447

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76.49042857 75.29405581 74.14221818 73.03232 71.9619913 70.9290127776.64517143 75.4464 74.29221818 73.18008 72.10758261 71.0725276676.79751429 75.59634419 74.43987273 73.32552 72.25090435 71.2137702176.94748571 75.74394419 74.58523636 73.46872 72.39198261 71.3528425577.09514286 75.88931163 74.72836364 73.60970667 72.53092174 71.48977021

77.2406 76.03250233 74.86936364 73.74858667 72.66774783 71.6246553277.38391429 76.17354419 75.00826364 73.88541333 72.80256522 71.757523477.52511429 76.31254884 75.14514545 74.02024 72.93542609 71.888476677.66428571 76.44954419 75.28003636 74.15312 73.06635652 72.0175404377.80148571 76.58461395 75.41301818 74.28410667 73.19543478 72.1447659677.93677143 76.71778605 75.54414545 74.41328 73.32271304 72.27020426

78.0702 76.84911628 75.67347273 74.54066667 73.44821739 72.3939063878.2018 76.97863256 75.80102727 74.66632 73.57202609 72.51594894

78.33162857 77.10644651 75.92689091 74.79026667 73.6941913 72.6363574578.45974286 77.23255814 76.05106364 74.91261333 73.81471304 72.7551574578.58617143 77.35702326 76.17362727 75.03333333 73.93366957 72.8724

78.711 77.47986977 76.29460909 75.15248 74.05108696 72.9881361778.8342 77.6011814 76.41403636 75.27013333 74.16701739 73.10239149

78.95588571 77.72093023 76.53196364 75.38632 74.28148696 73.2152170279.07602857 77.83922791 76.64844545 75.50104 74.39452174 73.326638379.19471429 77.95604651 76.76348182 75.61434667 74.50617391 73.4366808579.31197143 78.07144186 76.87712727 75.72629333 74.61646957 73.54539574

79.4278 78.18546977 76.98940909 75.83690667 74.72546087 73.6528340479.54225714 78.29815814 77.10035455 75.94618667 74.83314783 73.75897021

79.6554 78.40950698 77.21001818 76.05421333 74.93958261 73.8638808579.76722857 78.5196 77.3184 76.16096 75.0447913 73.9675659679.87777143 78.6284093 77.42555455 76.26653333 75.1488 74.070076679.98705714 78.7359907 77.53150909 76.37088 75.2516087 74.1714127780.09514286 78.84237209 77.63626364 76.47405333 75.35329565 74.2716255380.20202857 78.9475814 77.73984545 76.57610667 75.45383478 74.3707404380.30771429 79.05164651 77.84233636 76.67704 75.55330435 74.4687829880.41228571 79.15456744 77.94368182 76.77688 75.65167826 74.5657276680.51574286 79.2564 78.04396364 76.87565333 75.7490087 74.661676680.61811429 79.35717209 78.14318182 76.97338667 75.84529565 74.75657872

80.7194 79.45685581 78.24133636 77.07008 75.9405913 74.8505106480.81962857 79.55553488 78.33850909 77.16578667 76.03489565 74.9434468180.91882857 79.6531814 78.43467273 77.26050667 76.1282087 75.035438381.01702857 79.74985116 78.52985455 77.35426667 76.2206087 75.1265106481.11422857 79.84554419 78.62408182 77.44709333 76.31206957 75.2166383

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t (mins)240

33.43462539.564225

43.149845.6938

47.66707549.279375

50.6425551.823375

52.8649553.79665

54.639555.40895

56.11677556.77212557.382225

57.95295

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58.48907558.994525

59.4726559.92625

60.357760.76907561.16217561.53852561.899525

62.2463562.580162.9017

63.21202563.5118

63.80177564.082525

64.3546564.61865

64.87497565.124165.3664

65.60222565.83192566.05582566.27417566.487275

66.6953566.89865

67.09737567.29175

67.48192567.6681

67.8504568.0291

68.20422568.37592568.54437568.709675

68.8719569.031275

69.187869.3416

69.49277569.6414

69.78755

Page 35: Método de Chow

69.9313570.07285

70.21212570.34922570.484225

70.617270.74822570.87732571.004575

71.1371.253675

71.3756571.49597571.614675

71.731871.847471.9615

72.0741572.1854

72.2952572.4037572.5109572.61685

72.721572.82492572.92717573.028225

73.1281573.22697573.32467573.42132573.516925

73.611573.705173.7977

73.88932573.980025

74.069874.158675

Page 36: Método de Chow
Page 37: Método de Chow

Variables y constantes de la ecuación de ChenT R101 R R1024 R100t

5 63.2431 0.35 180.6945457 274.685821710 63.2431 0.35 180.6945457 274.685821725 63.2431 0.35 180.6945457 274.685821750 63.2431 0.35 180.6945457 274.685821775 63.2431 0.35 180.6945457 274.6858217

100 63.2431 0.35 180.6945457 274.6858217125 63.2431 0.35 180.6945457 274.6858217150 63.2431 0.35 180.6945457 274.6858217175 63.2431 0.35 180.6945457 274.6858217200 63.2431 0.35 180.6945457 274.6858217225 63.2431 0.35 180.6945457 274.6858217250 63.2431 0.35 180.6945457 274.6858217275 63.2431 0.35 180.6945457 274.6858217300 63.2431 0.35 180.6945457 274.6858217325 63.2431 0.35 180.6945457 274.6858217350 63.2431 0.35 180.6945457 274.6858217375 63.2431 0.35 180.6945457 274.6858217400 63.2431 0.35 180.6945457 274.6858217425 63.2431 0.35 180.6945457 274.6858217450 63.2431 0.35 180.6945457 274.6858217475 63.2431 0.35 180.6945457 274.6858217500 63.2431 0.35 180.6945457 274.6858217525 63.2431 0.35 180.6945457 274.6858217550 63.2431 0.35 180.6945457 274.6858217575 63.2431 0.35 180.6945457 274.6858217600 63.2431 0.35 180.6945457 274.6858217625 63.2431 0.35 180.6945457 274.6858217650 63.2431 0.35 180.6945457 274.6858217675 63.2431 0.35 180.6945457 274.6858217700 63.2431 0.35 180.6945457 274.6858217725 63.2431 0.35 180.6945457 274.6858217750 63.2431 0.35 180.6945457 274.6858217775 63.2431 0.35 180.6945457 274.6858217800 63.2431 0.35 180.6945457 274.6858217825 63.2431 0.35 180.6945457 274.6858217

Page 38: Método de Chow

850 63.2431 0.35 180.6945457 274.6858217875 63.2431 0.35 180.6945457 274.6858217900 63.2431 0.35 180.6945457 274.6858217925 63.2431 0.35 180.6945457 274.6858217950 63.2431 0.35 180.6945457 274.6858217975 63.2431 0.35 180.6945457 274.6858217

1000 63.2431 0.35 180.6945457 274.6858217

Cáculos paraR =Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0.35

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 39: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 40: Método de Chow

Variables y constantes de la ecuación de Chen Valores de la gráfica Duración en minutosR10t X a b c 5 10

180.6945457 1.520166647 18 6 0.69 183.5548 141.7372180.6945457 1.520166647 18 6 0.69 217.633 168.0517180.6945457 1.520166647 18 6 0.69 262.6819 202.8376180.6945457 1.520166647 18 6 0.69 296.7602 229.1521180.6945457 1.520166647 18 6 0.69 316.6947 244.5451180.6945457 1.520166647 18 6 0.69 330.8384 255.4666180.6945457 1.520166647 18 6 0.69 341.8091 263.9379180.6945457 1.520166647 18 6 0.69 350.7729 270.8596180.6945457 1.520166647 18 6 0.69 358.3516 276.7117180.6945457 1.520166647 18 6 0.69 364.9166 281.7811180.6945457 1.520166647 18 6 0.69 370.7074 286.2526180.6945457 1.520166647 18 6 0.69 375.8874 290.2524180.6945457 1.520166647 18 6 0.69 380.5732 293.8708180.6945457 1.520166647 18 6 0.69 384.8511 297.1741180.6945457 1.520166647 18 6 0.69 388.7864 300.2128180.6945457 1.520166647 18 6 0.69 392.4298 303.0262180.6945457 1.520166647 18 6 0.69 395.8218 305.6454180.6945457 1.520166647 18 6 0.69 398.9948 308.0956180.6945457 1.520166647 18 6 0.69 401.9754 310.3971180.6945457 1.520166647 18 6 0.69 404.7856 312.5671180.6945457 1.520166647 18 6 0.69 407.4438 314.6197180.6945457 1.520166647 18 6 0.69 409.9656 316.5669180.6945457 1.520166647 18 6 0.69 412.3643 318.4192180.6945457 1.520166647 18 6 0.69 414.6515 320.1853180.6945457 1.520166647 18 6 0.69 416.8369 321.8728180.6945457 1.520166647 18 6 0.69 418.9293 323.4886180.6945457 1.520166647 18 6 0.69 420.9363 325.0383180.6945457 1.520166647 18 6 0.69 422.8646 326.5273180.6945457 1.520166647 18 6 0.69 424.7201 327.9601180.6945457 1.520166647 18 6 0.69 426.5081 329.3407180.6945457 1.520166647 18 6 0.69 428.2333 330.6729180.6945457 1.520166647 18 6 0.69 429.9001 331.9599180.6945457 1.520166647 18 6 0.69 431.5122 333.2048180.6945457 1.520166647 18 6 0.69 433.0731 334.4101180.6945457 1.520166647 18 6 0.69 434.5859 335.5783

Calculo de la precipitación RTt

Page 41: Método de Chow

180.6945457 1.520166647 18 6 0.69 436.0536 336.7116180.6945457 1.520166647 18 6 0.69 437.4788 337.8121180.6945457 1.520166647 18 6 0.69 438.8638 338.8816180.6945457 1.520166647 18 6 0.69 440.2109 339.9217180.6945457 1.520166647 18 6 0.69 441.522 340.9342180.6945457 1.520166647 18 6 0.69 442.7991 341.9203180.6945457 1.520166647 18 6 0.69 444.0438 342.8814

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 42: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 43: Método de Chow

Duración en minutos

80 100 120 140 159 18044.4143 38.4473 34.1249 30.8264 28.331 26.083352.6601 45.5853 40.4604 36.5496 33.5909 30.925963.5605 55.0212 48.8355 44.1151 40.5441 37.327471.8063 62.1592 55.171 49.8383 45.8039 42.169976.6298 66.3347 58.877 53.1861 48.8807 45.002680.0521 69.2972 61.5065 55.5614 51.0638 47.012582.7067 71.5951 63.5461 57.4039 52.7571 48.571484.8756 73.4727 65.2126 58.9092 54.1406 49.845286.7094 75.0601 66.6215 60.182 55.3103 50.9221

88.298 76.4352 67.842 61.2846 56.3236 51.85589.6991 77.6482 68.9186 62.2571 57.2174 52.677990.9525 78.7331 69.8816 63.127 58.0169 53.41492.0864 79.7147 70.7528 63.914 58.7402 54.079893.1215 80.6107 71.5481 64.6324 59.4005 54.687794.0737 81.435 72.2797 65.2933 60.0078 55.246994.9553 82.1981 72.9571 65.9052 60.5702 55.7647

95.776 82.9086 73.5877 66.4748 61.0938 56.246796.5438 83.5732 74.1776 67.0077 61.5835 56.6976

97.265 84.1975 74.7317 67.5083 62.0435 57.121197.945 84.7862 75.2541 67.9802 62.4773 57.5204

98.5881 85.3429 75.7483 68.4266 62.8876 57.898299.1983 85.8712 76.2171 68.8501 63.2768 58.256599.7788 86.3736 76.6631 69.253 63.647 58.5974100.332 86.8527 77.0883 69.6371 64 58.9224100.861 87.3104 77.4946 70.0041 64.3374 59.2329101.367 87.7487 77.8836 70.3555 64.6603 59.5303101.853 88.1691 78.2567 70.6926 64.9701 59.8155

102.32 88.573 78.6152 71.0164 65.2677 60.0895102.768 88.9616 78.9602 71.328 65.5541 60.3531103.201 89.3361 79.2926 71.6283 65.8301 60.6072103.619 89.6975 79.6133 71.9181 66.0964 60.8524104.022 90.0466 79.9232 72.198 66.3536 61.0892104.412 90.3843 80.2229 72.4687 66.6024 61.3183

104.79 90.7112 80.5131 72.7308 66.8434 61.5401105.156 91.0281 80.7943 72.9849 67.0769 61.7551

Calculo de la precipitación RTt

Page 44: Método de Chow

105.511 91.3355 81.0672 73.2314 67.3034 61.9636105.856 91.6341 81.3322 73.4708 67.5234 62.1662106.191 91.9242 81.5896 73.7034 67.7371 62.363106.517 92.2063 81.8401 73.9296 67.945 62.5544106.834 92.4809 82.0838 74.1498 68.1474 62.7407107.143 92.7484 82.3213 74.3642 68.3445 62.9222107.444 93.0092 82.5527 74.5733 68.5366 63.0991

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 45: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 46: Método de Chow

Duración en minutos

200 220 240 260 280 30024.3085 22.803 21.5071 20.3778 19.3836 18.500328.8215 27.0365 25.5 24.1611 22.9823 21.93534.7875 32.633 30.7784 29.1624 27.7395 26.475539.3005 36.8665 34.7713 32.9457 31.3382 29.910241.9405 39.3429 37.1071 35.1587 33.4433 31.919343.8136 41.1 38.7643 36.729 34.9369 33.344945.2664 42.4629 40.0497 37.9469 36.0954 34.450646.4535 43.5765 41.1 38.942 37.042 35.354147.4572 44.518 41.988 39.7834 37.8423 36.117948.3266 45.3336 42.7572 40.5122 38.5356 36.779649.0935 46.0529 43.4357 41.1551 39.1471 37.363249.7795 46.6964 44.0427 41.7302 39.6941 37.8853

50.4 47.2786 44.5917 42.2504 40.1889 38.357650.9666 47.81 45.0929 42.7253 40.6407 38.788851.4877 48.2989 45.554 43.1622 41.0563 39.185451.9702 48.7515 45.9809 43.5667 41.441 39.552652.4194 49.1729 46.3784 43.9433 41.7992 39.894552.8396 49.5671 46.7502 44.2955 42.1343 40.214353.2344 49.9374 47.0994 44.6264 42.449 40.514753.6065 50.2865 47.4287 44.9384 42.7458 40.797953.9585 50.6167 47.7401 45.2335 43.0265 41.065954.2925 50.93 48.0356 45.5135 43.2928 41.3254.6102 51.228 48.3167 45.7798 43.5461 41.561854.9131 51.5121 48.5846 46.0337 43.7876 41.792355.2025 51.7836 48.8407 46.2763 44.0184 42.012655.4796 52.0435 49.0859 46.5086 44.2394 42.223555.7454 52.2929 49.321 46.7314 44.4513 42.425856.0008 52.5324 49.547 46.9455 44.655 42.620156.2465 52.7629 49.7644 47.1515 44.8509 42.807156.4833 52.9851 49.9739 47.35 45.0397 42.987356.7117 53.1994 50.176 47.5415 45.2219 43.161256.9325 53.4064 50.3713 47.7266 45.3979 43.3292

57.146 53.6067 50.5602 47.9055 45.5682 43.491757.3527 53.8006 50.7431 48.0788 45.733 43.649

57.553 53.9886 50.9204 48.2468 45.8927 43.8015

Calculo de la precipitación RTt

Page 47: Método de Chow

57.7474 54.1709 51.0923 48.4097 46.0477 43.949457.9361 54.3479 51.2593 48.5679 46.1982 44.093158.1196 54.52 51.4216 48.7217 46.3445 44.2326

58.298 54.6874 51.5794 48.8712 46.4867 44.368458.4716 54.8502 51.733 49.0168 46.6252 44.500658.6407 55.0089 51.8827 49.1586 46.7601 44.629358.8056 55.1635 52.0285 49.2968 46.8915 44.7547

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 48: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 49: Método de Chow

Duración en minutos

320 340 360 380 400 42017.7095 16.9967 16.3503 15.7609 15.221 14.724320.9974 20.1522 19.3858 18.687 18.0469 17.457925.3438 24.3236 23.3986 22.5552 21.7825 21.071728.6317 27.4792 26.4341 25.4813 24.6084 23.805330.5549 29.3251 28.2098 27.193 26.2615 25.404431.9195 30.6348 29.4696 28.4074 27.4343 26.539

32.978 31.6506 30.4469 29.3494 28.344 27.41933.8428 32.4806 31.2453 30.1191 29.0873 28.1381

34.574 33.1824 31.9204 30.7698 29.7158 28.74635.2074 33.7903 32.5052 31.3335 30.2602 29.272635.7661 34.3265 33.021 31.8308 30.7404 29.737236.2659 34.8062 33.4824 32.2755 31.1699 30.1527

36.718 35.2401 33.8998 32.6779 31.5585 30.528637.1307 35.6362 34.2809 33.0452 31.9132 30.871737.5104 36.0006 34.6314 33.3831 32.2396 31.187437.8619 36.338 34.9559 33.696 32.5417 31.479738.1892 36.652 35.2581 33.9872 32.823 31.751838.4953 36.9459 35.5407 34.2597 33.0861 32.006338.7829 37.2218 35.8062 34.5156 33.3332 32.2454

39.054 37.4821 36.0565 34.7569 33.5663 32.470839.3105 37.7282 36.2933 34.9851 33.7867 32.684139.5538 37.9617 36.518 35.2017 33.9958 32.886439.7852 38.1838 36.7316 35.4076 34.1947 33.078840.0059 38.3956 36.9353 35.604 34.3844 33.262240.2168 38.598 37.13 35.7917 34.5656 33.437640.4186 38.7917 37.3164 35.9713 34.7391 33.605440.6123 38.9776 37.4952 36.1437 34.9055 33.766440.7983 39.1561 37.6669 36.3092 35.0654 33.921140.9773 39.3279 37.8322 36.4686 35.2193 34.069941.1498 39.4935 37.9915 36.6221 35.3676 34.213341.3163 39.6533 38.1452 36.7702 35.5106 34.351741.4771 39.8076 38.2936 36.9133 35.6488 34.485441.6326 39.9569 38.4372 37.0518 35.7825 34.614841.7832 40.1014 38.5763 37.1858 35.912 34.7441.9292 40.2415 38.711 37.3157 36.0374 34.8613

Page 50: Método de Chow

42.0708 40.3774 38.8418 37.4417 36.1591 34.979142.2083 40.5094 38.9687 37.5641 36.2773 35.093442.3419 40.6376 39.0921 37.683 36.3922 35.204542.4719 40.7623 39.2121 37.7987 36.5039 35.312642.5984 40.8838 39.3289 37.9112 36.6126 35.417742.7216 41.002 39.4426 38.0209 36.7185 35.520242.8417 41.1173 39.5535 38.1278 36.8217 35.62

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 51: Método de Chow
Page 52: Método de Chow

Duración en minutos Para

440 15914.2655 28.33116.9139 33.5909

20.415 40.544123.0635 45.803924.6128 48.8807

25.712 51.063826.5646 52.757127.2613 54.140627.8503 55.310328.3605 56.323628.8105 57.217429.2131 58.016929.5773 58.740229.9097 59.400530.2156 60.007830.4987 60.570230.7624 61.0938

31.009 61.583531.2406 62.0435

31.459 62.477331.6656 62.887631.8616 63.2768

32.048 63.64732.2258 6432.3956 64.337432.5582 64.660332.7142 64.970132.8641 65.267733.0083 65.554133.1472 65.830133.2813 66.096433.4108 66.353633.5361 66.602433.6574 66.8434

33.775 67.0769

RTt

Page 53: Método de Chow

33.8891 67.303433.9998 67.523434.1075 67.737134.2122 67.94534.3141 68.147434.4133 68.344534.5101 68.5366

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 54: Método de Chow
Page 55: Método de Chow

Variables y constantes de la ecuación de Chen

T R

5 47.9676 0.35 137.0502544 218.639903710 47.9676 0.35 137.0502544 218.639903725 47.9676 0.35 137.0502544 218.639903750 47.9676 0.35 137.0502544 218.639903775 47.9676 0.35 137.0502544 218.6399037

100 47.9676 0.35 137.0502544 218.6399037125 47.9676 0.35 137.0502544 218.6399037150 47.9676 0.35 137.0502544 218.6399037175 47.9676 0.35 137.0502544 218.6399037200 47.9676 0.35 137.0502544 218.6399037225 47.9676 0.35 137.0502544 218.6399037250 47.9676 0.35 137.0502544 218.6399037275 47.9676 0.35 137.0502544 218.6399037300 47.9676 0.35 137.0502544 218.6399037325 47.9676 0.35 137.0502544 218.6399037350 47.9676 0.35 137.0502544 218.6399037375 47.9676 0.35 137.0502544 218.6399037400 47.9676 0.35 137.0502544 218.6399037425 47.9676 0.35 137.0502544 218.6399037450 47.9676 0.35 137.0502544 218.6399037475 47.9676 0.35 137.0502544 218.6399037500 47.9676 0.35 137.0502544 218.6399037525 47.9676 0.35 137.0502544 218.6399037550 47.9676 0.35 137.0502544 218.6399037575 47.9676 0.35 137.0502544 218.6399037600 47.9676 0.35 137.0502544 218.6399037625 47.9676 0.35 137.0502544 218.6399037650 47.9676 0.35 137.0502544 218.6399037675 47.9676 0.35 137.0502544 218.6399037700 47.9676 0.35 137.0502544 218.6399037725 47.9676 0.35 137.0502544 218.6399037750 47.9676 0.35 137.0502544 218.6399037775 47.9676 0.35 137.0502544 218.6399037800 47.9676 0.35 137.0502544 218.6399037

R101 R10

24 R100t

Page 56: Método de Chow

825 47.9676 0.35 137.0502544 218.6399037850 47.9676 0.35 137.0502544 218.6399037875 47.9676 0.35 137.0502544 218.6399037900 47.9676 0.35 137.0502544 218.6399037925 47.9676 0.35 137.0502544 218.6399037950 47.9676 0.35 137.0502544 218.6399037975 47.9676 0.35 137.0502544 218.6399037

1000 47.9676 0.35 137.0502544 218.6399037

Cáculos paraR =Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0.35

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 57: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 58: Método de Chow

Variables y constantes de la ecuación de Chen Valores de la gráfica Duración en minutos

X a b c 5 10137.0502544 1.6 18 6 0.69 135.2527 104.4393137.0502544 1.6 18 6 0.69 165.0667 127.4611137.0502544 1.6 18 6 0.69 204.4787 157.8942137.0502544 1.6 18 6 0.69 234.2927 180.916137.0502544 1.6 18 6 0.69 251.7328 194.3829137.0502544 1.6 18 6 0.69 264.1068 203.9378137.0502544 1.6 18 6 0.69 273.7047 211.3491137.0502544 1.6 18 6 0.69 281.5468 217.4047137.0502544 1.6 18 6 0.69 288.1773 222.5245137.0502544 1.6 18 6 0.69 293.9208 226.9596137.0502544 1.6 18 6 0.69 298.9869 230.8715137.0502544 1.6 18 6 0.69 303.5188 234.3709137.0502544 1.6 18 6 0.69 307.6183 237.5365137.0502544 1.6 18 6 0.69 311.3609 240.4264137.0502544 1.6 18 6 0.69 314.8037 243.0849137.0502544 1.6 18 6 0.69 317.9913 245.5463137.0502544 1.6 18 6 0.69 320.9588 247.8378137.0502544 1.6 18 6 0.69 323.7348 249.9813137.0502544 1.6 18 6 0.69 326.3424 251.9949137.0502544 1.6 18 6 0.69 328.801 253.8933137.0502544 1.6 18 6 0.69 331.1265 255.6891137.0502544 1.6 18 6 0.69 333.3328 257.3927137.0502544 1.6 18 6 0.69 335.4314 259.0132137.0502544 1.6 18 6 0.69 337.4323 260.5583137.0502544 1.6 18 6 0.69 339.3443 262.0346137.0502544 1.6 18 6 0.69 341.1749 263.4482137.0502544 1.6 18 6 0.69 342.9308 264.804137.0502544 1.6 18 6 0.69 344.6177 266.1067137.0502544 1.6 18 6 0.69 346.241 267.3602137.0502544 1.6 18 6 0.69 347.8053 268.5681137.0502544 1.6 18 6 0.69 349.3147 269.7336137.0502544 1.6 18 6 0.69 350.7729 270.8596137.0502544 1.6 18 6 0.69 352.1832 271.9486137.0502544 1.6 18 6 0.69 353.5488 273.0031

Calculo de la precipitación RTt

R10t

Page 59: Método de Chow

137.0502544 1.6 18 6 0.69 354.8724 274.0251137.0502544 1.6 18 6 0.69 356.1564 275.0166137.0502544 1.6 18 6 0.69 357.4033 275.9794137.0502544 1.6 18 6 0.69 358.615 276.9151137.0502544 1.6 18 6 0.69 359.7935 277.8251137.0502544 1.6 18 6 0.69 360.9405 278.7108137.0502544 1.6 18 6 0.69 362.0578 279.5736137.0502544 1.6 18 6 0.69 363.1468 280.4144

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 60: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 61: Método de Chow

Duración en minutos

80 100 120 140 159 18032.7268 28.33 25.145 22.7145 20.8758 19.219539.9408 34.5748 30.6877 27.7215 25.4775 23.456149.4772 42.83 38.0149 34.3404 31.5606 29.056656.6912 49.0748 43.5576 39.3474 36.1623 33.293260.9112 52.7278 46.7999 42.2763 38.8541 35.771563.9053 55.3197 49.1004 44.3544 40.764 37.529866.2276 57.33 50.8847 45.9663 42.2454 38.893768.1252 58.9726 52.3427 47.2833 43.4558 40.008169.7295 60.3614 53.5753 48.3969 44.4792 40.950371.1193 61.5645 54.6431 49.3614 45.3657 41.766472.3451 62.6256 55.585 50.2123 46.1476 42.486373.4417 63.5749 56.4275 50.9733 46.8471 43.130374.4336 64.4336 57.1896 51.6618 47.4798 43.712975.3392 65.2175 57.8854 52.2903 48.0575 44.244776.1723 65.9386 58.5255 52.8685 48.5889 44.733976.9436 66.6063 59.1181 53.4039 49.0809 45.186977.6616 67.2279 59.6698 53.9022 49.5389 45.608678.3333 67.8093 60.1859 54.3684 49.9674 46.00378.9643 68.3555 60.6707 54.8064 50.3698 46.373679.5591 68.8705 61.1277 55.2193 50.7493 46.722980.1219 69.3576 61.5601 55.6098 51.1082 47.053480.6557 69.8197 61.9703 55.9803 51.4488 47.366981.1635 70.2593 62.3604 56.3328 51.7727 47.665181.6477 70.6784 62.7324 56.6688 52.0815 47.949582.1103 71.0789 63.0879 56.9899 52.3766 48.221282.5532 71.4623 63.4282 57.2974 52.6592 48.481382.9781 71.8301 63.7546 57.5922 52.9302 48.730883.3863 72.1834 64.0683 57.8755 53.1906 48.970583.7791 72.5234 64.37 58.1482 53.4411 49.201284.1576 72.8511 64.6609 58.4109 53.6826 49.423584.5228 73.1673 64.9415 58.6644 53.9155 49.63884.8756 73.4727 65.2126 58.9092 54.1406 49.845285.2169 73.7681 65.4748 59.1461 54.3583 50.045685.5473 74.0541 65.7286 59.3754 54.5691 50.2396

Calculo de la precipitación RTt

Page 62: Método de Chow

85.8676 74.3314 65.9747 59.5977 54.7733 50.427786.1783 74.6003 66.2134 59.8134 54.9715 50.6102

86.48 74.8615 66.4452 60.0228 55.164 50.787386.7732 75.1153 66.6705 60.2263 55.351 50.959587.0583 75.3621 66.8896 60.4242 55.5329 51.12787.3359 75.6024 67.1028 60.6168 55.7099 51.2987.6062 75.8364 67.3106 60.8045 55.8824 51.448887.8697 76.0645 67.513 60.9873 56.0505 51.6035

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 63: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 64: Método de Chow

Duración en minutos

200 220 240 260 280 30017.9118 16.8024 15.8475 15.0155 14.2828 13.63221.8601 20.5062 19.3408 18.3253 17.4312 16.636927.0795 25.4024 23.9587 22.7008 21.5932 20.609231.0278 29.1062 27.452 26.0107 24.7416 23.614133.3375 31.2727 29.4955 27.9468 26.5833 25.371934.9762 32.81 30.9453 29.3206 27.89 26.619136.2472 34.0023 32.0699 30.3861 28.9035 27.586437.2858 34.9765 32.9888 31.2567 29.7317 28.376838.1639 35.8002 33.7657 31.9928 30.4318 29.045138.9245 36.5137 34.4386 32.6304 31.0384 29.62439.5954 37.1431 35.0322 33.1929 31.5733 30.134640.1956 37.7061 35.5632 33.696 32.0519 30.591440.7385 38.2154 36.0436 34.1511 32.4848 31.004541.2341 38.6803 36.4821 34.5666 32.88 31.3818

41.69 39.108 36.8855 34.9488 33.2436 31.728842.1122 39.504 37.259 35.3027 33.5802 32.0542.5052 39.8727 37.6067 35.6321 33.8936 32.349142.8728 40.2175 37.9319 35.9403 34.1867 32.628943.2181 40.5415 38.2375 36.2298 34.4621 32.891743.5437 40.8469 38.5255 36.5028 34.7217 33.139543.8517 41.1358 38.798 36.7609 34.9673 33.373944.1439 41.4099 39.0565 37.0059 35.2003 33.596344.4218 41.6706 39.3024 37.2389 35.4219 33.807844.6868 41.9192 39.5369 37.461 35.6332 34.0095

44.94 42.1567 39.7609 37.6733 35.8351 34.202245.1824 42.3841 39.9754 37.8765 36.0284 34.3867

45.415 42.6023 40.1811 38.0714 36.2139 34.563645.6384 42.8118 40.3788 38.2587 36.392 34.733745.8534 43.0135 40.569 38.4389 36.5634 34.897346.0605 43.2078 40.7523 38.6126 36.7286 35.05546.2604 43.3953 40.9291 38.7801 36.888 35.207146.4535 43.5765 41.1 38.942 37.042 35.35446.6403 43.7517 41.2652 39.0986 37.1909 35.496246.8211 43.9213 41.4252 39.2502 37.3351 35.6338

Calculo de la precipitación RTt

Page 65: Método de Chow

46.9964 44.0858 41.5803 39.3972 37.4749 35.767247.1665 44.2453 41.7308 39.5397 37.6105 35.896747.3316 44.4002 41.8769 39.6781 37.7422 36.022347.4921 44.5507 42.0188 39.8126 37.8701 36.144447.6481 44.6971 42.1569 39.9435 37.9946 36.2632

47.8 44.8396 42.2913 40.0708 38.1157 36.378847.948 44.9784 42.4222 40.1949 38.2337 36.4914

48.0922 45.1137 42.5498 40.3158 38.3487 36.6012

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 66: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 67: Método de Chow

Duración en minutos

320 340 360 380 400 42013.0493 12.524 12.0477 11.6135 11.2156 10.849615.9258 15.2847 14.7034 14.1734 13.6879 13.241219.7283 18.9342 18.2141 17.5575 16.9561 16.402722.6047 21.6949 20.8698 20.1175 19.4284 18.794324.2874 23.3098 22.4233 21.615 20.8746 20.193325.4812 24.4556 23.5255 22.6775 21.9007 21.185926.4072 25.3443 24.3804 23.5016 22.6966 21.955927.1639 26.0705 25.079 24.175 23.3469 22.584927.8036 26.6844 25.6696 24.7443 23.8967 23.116828.3577 27.2163 26.1812 25.2375 24.373 23.577528.8465 27.6854 26.6325 25.6725 24.7931 23.983929.2837 28.105 27.0361 26.0616 25.1689 24.347529.6793 28.4846 27.4013 26.4136 25.5088 24.676330.0403 28.8312 27.7347 26.735 25.8192 24.976530.3725 29.15 28.0413 27.0306 26.1046 25.2527

30.68 29.4451 28.3253 27.3043 26.369 25.508430.9664 29.7199 28.5896 27.5591 26.6151 25.746531.2342 29.977 28.8369 27.7975 26.8452 25.969131.4858 30.2184 29.0692 28.0214 27.0615 26.1783

31.723 30.4461 29.2882 28.2325 27.2653 26.375531.9473 30.6614 29.4953 28.4321 27.4582 26.562132.1602 30.8657 29.6918 28.6216 27.6411 26.739132.3627 31.06 29.8788 28.8018 27.8152 26.907432.5557 31.2453 30.057 28.9736 27.9811 27.067932.7402 31.4224 30.2273 29.1378 28.1396 27.221332.9168 31.5919 30.3904 29.295 28.2914 27.368133.0862 31.7545 30.5468 29.4457 28.437 27.509

33.249 31.9107 30.697 29.5906 28.5769 27.644333.4056 32.061 30.8416 29.73 28.7115 27.774533.5565 32.2058 30.981 29.8643 28.8413 27.933.7022 32.3456 31.1154 29.9939 28.9664 28.021133.8428 32.4806 31.2453 30.1191 29.0873 28.138133.9789 32.6112 31.371 30.2402 29.2043 28.251234.1107 32.7377 31.4926 30.3574 29.3175 28.3608

Page 68: Método de Chow

34.2384 32.8602 31.6105 30.4711 29.4273 28.466934.3623 32.9791 31.7249 30.5813 29.5338 28.569934.4825 33.0946 31.8359 30.6884 29.6372 28.669934.5995 33.2068 31.9439 30.7924 29.7376 28.767134.7132 33.3159 32.0488 30.8936 29.8354 28.861734.8238 33.4221 32.151 30.9921 29.9305 28.953734.9316 33.5256 32.2505 31.0881 30.0231 29.043335.0367 33.6264 32.3475 31.1816 30.1134 29.1307

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 69: Método de Chow
Page 70: Método de Chow

Duración en minutos Para

440 15910.5115 20.875812.8286 25.477515.8916 31.560618.2087 36.162319.5641 38.854120.5258 40.76421.2717 42.245421.8812 43.455822.3965 44.479222.8428 45.365723.2366 46.147623.5888 46.847123.9074 47.479824.1982 48.057524.4658 48.588924.7135 49.080924.9442 49.538925.1599 49.967425.3626 50.369825.5537 50.749325.7344 51.108225.9059 51.4488

26.069 51.772726.2245 52.081526.3731 52.376626.5153 52.659226.6518 52.930226.7829 53.190626.9091 53.441127.0306 53.682627.1479 53.915527.2613 54.140627.3709 54.3583

27.477 54.5691

RTt

Page 71: Método de Chow

27.5799 54.773327.6797 54.971527.7766 55.16427.8707 55.35127.9623 55.532928.0515 55.709928.1383 55.882428.2229 56.0505

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 72: Método de Chow
Page 73: Método de Chow

Variables y constantes de la ecuación de Chen

T R

5 53.0477 0.35 151.5648818 259.353042410 53.0477 0.35 151.5648818 259.353042425 53.0477 0.35 151.5648818 259.353042450 53.0477 0.35 151.5648818 259.353042475 53.0477 0.35 151.5648818 259.3530424

100 53.0477 0.35 151.5648818 259.3530424125 53.0477 0.35 151.5648818 259.3530424150 53.0477 0.35 151.5648818 259.3530424175 53.0477 0.35 151.5648818 259.3530424200 53.0477 0.35 151.5648818 259.3530424225 53.0477 0.35 151.5648818 259.3530424250 53.0477 0.35 151.5648818 259.3530424275 53.0477 0.35 151.5648818 259.3530424300 53.0477 0.35 151.5648818 259.3530424325 53.0477 0.35 151.5648818 259.3530424350 53.0477 0.35 151.5648818 259.3530424375 53.0477 0.35 151.5648818 259.3530424400 53.0477 0.35 151.5648818 259.3530424425 53.0477 0.35 151.5648818 259.3530424450 53.0477 0.35 151.5648818 259.3530424475 53.0477 0.35 151.5648818 259.3530424500 53.0477 0.35 151.5648818 259.3530424525 53.0477 0.35 151.5648818 259.3530424550 53.0477 0.35 151.5648818 259.3530424575 53.0477 0.35 151.5648818 259.3530424600 53.0477 0.35 151.5648818 259.3530424625 53.0477 0.35 151.5648818 259.3530424650 53.0477 0.35 151.5648818 259.3530424675 53.0477 0.35 151.5648818 259.3530424700 53.0477 0.35 151.5648818 259.3530424725 53.0477 0.35 151.5648818 259.3530424750 53.0477 0.35 151.5648818 259.3530424775 53.0477 0.35 151.5648818 259.3530424800 53.0477 0.35 151.5648818 259.3530424

R101 R10

24 R100t

Page 74: Método de Chow

825 53.0477 0.35 151.5648818 259.3530424850 53.0477 0.35 151.5648818 259.3530424875 53.0477 0.35 151.5648818 259.3530424900 53.0477 0.35 151.5648818 259.3530424925 53.0477 0.35 151.5648818 259.3530424950 53.0477 0.35 151.5648818 259.3530424975 53.0477 0.35 151.5648818 259.3530424

1000 53.0477 0.35 151.5648818 259.3530424

Cáculos paraR =Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0.35

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 75: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 76: Método de Chow

Variables y constantes de la ecuación de Chen Valores de la gráfica Duración en minutos

X a b c 5 10151.5648818 1.71 18 6 0.69 143.5321 110.8325151.5648818 1.71 18 6 0.69 182.5484 140.9601151.5648818 1.71 18 6 0.69 234.1252 180.7866151.5648818 1.71 18 6 0.69 273.1415 210.9142151.5648818 1.71 18 6 0.69 295.9646 228.5377151.5648818 1.71 18 6 0.69 312.1578 241.0418151.5648818 1.71 18 6 0.69 324.7183 250.7407151.5648818 1.71 18 6 0.69 334.9809 258.6653151.5648818 1.71 18 6 0.69 343.6578 265.3655151.5648818 1.71 18 6 0.69 351.1741 271.1694151.5648818 1.71 18 6 0.69 357.804 276.2888151.5648818 1.71 18 6 0.69 363.7346 280.8683151.5648818 1.71 18 6 0.69 369.0995 285.011151.5648818 1.71 18 6 0.69 373.9972 288.7929151.5648818 1.71 18 6 0.69 378.5027 292.272151.5648818 1.71 18 6 0.69 382.6741 295.4931151.5648818 1.71 18 6 0.69 386.5577 298.4918151.5648818 1.71 18 6 0.69 390.1904 301.297151.5648818 1.71 18 6 0.69 393.6029 303.932151.5648818 1.71 18 6 0.69 396.8203 306.4164151.5648818 1.71 18 6 0.69 399.8637 308.7665151.5648818 1.71 18 6 0.69 402.7509 310.9959151.5648818 1.71 18 6 0.69 405.4972 313.1166151.5648818 1.71 18 6 0.69 408.1158 315.1386151.5648818 1.71 18 6 0.69 410.6179 317.0707151.5648818 1.71 18 6 0.69 413.0135 318.9205151.5648818 1.71 18 6 0.69 415.3113 320.6948151.5648818 1.71 18 6 0.69 417.519 322.3996151.5648818 1.71 18 6 0.69 419.6434 324.0399151.5648818 1.71 18 6 0.69 421.6905 325.6207151.5648818 1.71 18 6 0.69 423.6657 327.1459151.5648818 1.71 18 6 0.69 425.574 328.6194151.5648818 1.71 18 6 0.69 427.4197 330.0446151.5648818 1.71 18 6 0.69 429.2068 331.4246

Calculo de la precipitación RTt

R10t

Page 77: Método de Chow

151.5648818 1.71 18 6 0.69 430.9389 332.7621151.5648818 1.71 18 6 0.69 432.6192 334.0596151.5648818 1.71 18 6 0.69 434.2509 335.3196151.5648818 1.71 18 6 0.69 435.8366 336.544151.5648818 1.71 18 6 0.69 437.3789 337.7349151.5648818 1.71 18 6 0.69 438.88 338.894151.5648818 1.71 18 6 0.69 440.3421 340.0231151.5648818 1.71 18 6 0.69 441.7672 341.1235

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 78: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 79: Método de Chow

Duración en minutos

80 100 120 140 159 18034.7301 30.0642 26.6842 24.105 22.1537 20.396144.1708 38.2365 33.9378 30.6574 28.1757 25.940356.6507 49.0397 43.5265 39.3193 36.1364 33.269466.0914 57.2121 50.78 45.8717 42.1585 38.813771.6138 61.9926 55.0231 49.7047 45.6811 42.0569

75.532 65.3844 58.0336 52.4242 48.1805 44.357978.5713 68.0153 60.3687 54.5336 50.1192 46.142881.0545 70.1649 62.2767 56.2571 51.7032 47.6011

83.154 71.9824 63.8898 57.7143 53.0424 48.834184.9727 73.5567 65.2872 58.9766 54.2025 49.902286.5769 74.9454 66.5197 60.0901 55.2258 50.844388.0119 76.1876 67.6223 61.0861 56.1412 51.68789.3101 77.3114 68.6197 61.987 56.9692 52.449490.4952 78.3372 69.5302 62.8096 57.7252 53.145491.5854 79.281 70.3678 63.5662 58.4206 53.785692.5947 80.1547 71.1434 64.2668 59.0644 54.378493.5344 80.9681 71.8654 64.919 59.6639 54.930294.4134 81.7291 72.5407 65.5291 60.2246 55.446495.2391 82.4438 73.1751 66.1022 60.7513 55.931496.0176 83.1178 73.7733 66.6425 61.2479 56.3885

96.754 83.7552 74.3391 67.1536 61.7176 56.82197.4526 84.36 74.8759 67.6385 62.1632 57.231398.1171 84.9352 75.3864 68.0997 62.5871 57.621598.7508 85.4837 75.8732 68.5395 62.9913 57.993699.3562 86.0078 76.3384 68.9597 63.3775 58.349299.9358 86.5096 76.7838 69.362 63.7472 58.6896100.492 86.9909 77.211 69.7479 64.1019 59.0161101.026 87.4533 77.6214 70.1187 64.4426 59.3299

101.54 87.8983 78.0164 70.4754 64.7705 59.6317102.035 88.327 78.3969 70.8192 65.0865 59.9226102.513 88.7408 78.7641 71.151 65.3914 60.2033102.975 89.1405 79.1189 71.4714 65.6859 60.4745103.422 89.5271 79.4621 71.7814 65.9708 60.7367103.854 89.9014 79.7943 72.0815 66.2466 60.9907

Calculo de la precipitación RTt

Page 80: Método de Chow

104.273 90.2642 80.1163 72.3724 66.5139 61.2368104.68 90.6162 80.4287 72.6546 66.7733 61.4756

105.075 90.9579 80.7321 72.9287 67.0251 61.7075105.458 91.2901 81.0269 73.195 67.2699 61.9328105.832 91.6131 81.3136 73.454 67.5079 62.152106.195 91.9275 81.5927 73.7061 67.7396 62.3653106.549 92.2338 81.8645 73.9516 67.9653 62.573106.893 92.5323 82.1294 74.191 68.1853 62.7755

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 81: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 82: Método de Chow

Duración en minutos

200 220 240 260 280 30019.0082 17.831 16.8176 15.9346 15.1571 14.466524.1752 22.678 21.3892 20.2661 19.2773 18.398931.0056 29.0853 27.4324 25.9921 24.7239 23.597236.1726 33.9323 32.0039 30.3236 28.844 27.529739.1951 36.7677 34.6781 32.8573 31.2542 29.8341.3396 38.7793 36.5755 34.6551 32.9642 31.462143.0031 40.3397 38.0472 36.0495 34.2906 32.72844.3622 41.6146 39.2496 37.1888 35.3743 33.762445.5113 42.6926 40.2663 38.1521 36.2906 34.636946.5067 43.6263 41.147 38.9866 37.0844 35.394547.3847 44.45 41.9238 39.7226 37.7845 36.062748.1701 45.1867 42.6187 40.381 38.4108 36.660448.8805 45.8532 43.2473 40.9766 38.9773 37.201249.5292 46.4616 43.8212 41.5203 39.4945 37.694850.1258 47.0214 44.3491 42.0205 39.9703 38.148950.6783 47.5396 44.8379 42.4836 40.4108 38.569351.1926 48.022 45.2929 42.9148 40.8209 38.960851.6737 48.4733 45.7185 43.3181 41.2045 39.326952.1256 48.8973 46.1184 43.6969 41.5649 39.670852.5517 49.2969 46.4954 44.0541 41.9047 39.995152.9547 49.675 46.852 44.392 42.226 40.301953.3371 50.0337 47.1902 44.7125 42.5309 40.592953.7008 50.3749 47.512 45.0174 42.8209 40.869754.0475 50.7002 47.8188 45.3081 43.0975 41.133654.3789 51.011 48.112 45.5859 43.3617 41.385854.6962 51.3086 48.3927 45.8519 43.6147 41.627255.0005 51.5941 48.662 46.107 43.8573 41.858855.2928 51.8683 48.9206 46.352 44.0905 42.081355.5742 52.1323 49.1695 46.5879 44.3148 42.295455.8453 52.3866 49.4094 46.8151 44.531 42.501856.1068 52.6319 49.6408 47.0344 44.7396 42.700856.3596 52.869 49.8644 47.2463 44.9411 42.8932

56.604 53.0983 50.0807 47.4512 45.136 43.079256.8407 53.3203 50.2901 47.6496 45.3247 43.2593

Calculo de la precipitación RTt

Page 83: Método de Chow

57.07 53.5355 50.493 47.8419 45.5076 43.433957.2926 53.7442 50.6899 48.0284 45.6851 43.603357.5087 53.9469 50.8811 48.2096 45.8574 43.767757.7187 54.1439 51.0669 48.3856 46.0248 43.927557.9229 54.3355 51.2476 48.5568 46.1877 44.08358.1217 54.522 51.4235 48.7235 46.3462 44.234358.3153 54.7037 51.5948 48.8858 46.5006 44.381658.5041 54.8807 51.7618 49.044 46.6511 44.5253

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 84: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 85: Método de Chow

Duración en minutos

320 340 360 380 400 42013.8481 13.2907 12.7852 12.3244 11.9022 11.513817.6124 16.9035 16.2606 15.6745 15.1376 14.643622.5886 21.6794 20.8549 20.1031 19.4145 18.780926.3529 25.2922 24.3303 23.4533 22.6499 21.910728.5549 27.4055 26.3632 25.413 24.5424 23.741530.1172 28.905 27.8057 26.8034 25.8852 25.040531.3291 30.068 28.9245 27.8819 26.9268 26.04832.3192 31.0183 29.8386 28.7631 27.7778 26.871333.1564 31.8218 30.6115 29.5081 28.4973 27.567333.8816 32.5178 31.2811 30.1535 29.1206 28.170334.5212 33.1317 31.8716 30.7228 29.6704 28.702135.0934 33.6808 32.3999 31.232 30.1622 29.1778

35.611 34.1776 32.8778 31.6927 30.607 29.608236.0835 34.6311 33.314 32.1132 31.0132 30.001136.5182 35.0483 33.7154 32.5001 31.3868 30.362536.9207 35.4346 34.0869 32.8583 31.7327 30.697137.2954 35.7942 34.4329 33.1917 32.0547 31.008637.6459 36.1306 34.7565 33.5037 32.356 31.337.9751 36.4466 35.0604 33.7967 32.639 31.573838.2855 36.7445 35.347 34.0729 32.9058 31.831938.5792 37.0263 35.6181 34.3343 33.1581 32.07638.8577 37.2937 35.8753 34.5822 33.3975 32.307639.1227 37.548 36.1199 34.818 33.6253 32.527939.3753 37.7904 36.3532 35.0428 33.8424 32.73839.6167 38.0221 36.5761 35.2577 34.0499 32.938739.8479 38.2439 36.7894 35.4634 34.2486 33.130940.0696 38.4567 36.9941 35.6607 34.4391 33.315240.2826 38.6611 37.1908 35.8502 34.6222 33.492340.4875 38.8579 37.38 36.0326 34.7983 33.6627

40.685 39.0474 37.5624 36.2084 34.9681 33.826940.8756 39.2303 37.7383 36.378 35.1319 33.985341.0597 39.407 37.9083 36.5419 35.2901 34.138441.2378 39.5779 38.0727 36.7004 35.4432 34.286541.4102 39.7434 38.2319 36.8538 35.5914 34.4298

Page 86: Método de Chow

41.5773 39.9038 38.3862 37.0025 35.735 34.568841.7394 40.0594 38.5358 37.1468 35.8743 34.703641.8969 40.2105 38.6812 37.2869 36.0096 34.834542.0499 40.3573 38.8224 37.4231 36.1411 34.961742.1987 40.5001 38.9598 37.5555 36.269 35.085442.3435 40.6391 39.0935 37.6844 36.3935 35.205842.4846 40.7745 39.2238 37.8099 36.5147 35.3231

42.622 40.9065 39.3507 37.9323 36.6329 35.4374

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 87: Método de Chow
Page 88: Método de Chow

Duración en minutos Para

440 15911.155 22.1537

14.1872 28.175718.1957 36.136421.2279 42.158523.0017 45.681124.2602 48.180525.2364 50.119226.0339 51.703226.7083 53.042427.2924 54.202527.8077 55.225828.2686 56.141228.6856 56.969229.0662 57.725229.4164 58.420629.7406 59.064430.0424 59.663930.3247 60.224630.5899 60.7513

30.84 61.247931.0765 61.717631.3009 62.163231.5143 62.587131.7178 62.991331.9123 63.377532.0985 63.7472

32.277 64.101932.4486 64.442632.6137 64.770532.7728 65.086532.9263 65.391433.0746 65.685933.2181 65.9708

33.357 66.2466

RTt

Page 89: Método de Chow

33.4916 66.513933.6222 66.7733

33.749 67.025133.8722 67.269933.9921 67.507934.1087 67.739634.2224 67.965334.3331 68.1853

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 90: Método de Chow
Page 91: Método de Chow

Variables y constantes de la ecuación de Chen

T R

5 57.5614 0.35 164.4611626 259.98075210 57.5614 0.35 164.4611626 259.98075225 57.5614 0.35 164.4611626 259.98075250 57.5614 0.35 164.4611626 259.98075275 57.5614 0.35 164.4611626 259.980752

100 57.5614 0.35 164.4611626 259.980752125 57.5614 0.35 164.4611626 259.980752150 57.5614 0.35 164.4611626 259.980752175 57.5614 0.35 164.4611626 259.980752200 57.5614 0.35 164.4611626 259.980752225 57.5614 0.35 164.4611626 259.980752250 57.5614 0.35 164.4611626 259.980752275 57.5614 0.35 164.4611626 259.980752300 57.5614 0.35 164.4611626 259.980752325 57.5614 0.35 164.4611626 259.980752350 57.5614 0.35 164.4611626 259.980752375 57.5614 0.35 164.4611626 259.980752400 57.5614 0.35 164.4611626 259.980752425 57.5614 0.35 164.4611626 259.980752450 57.5614 0.35 164.4611626 259.980752475 57.5614 0.35 164.4611626 259.980752500 57.5614 0.35 164.4611626 259.980752525 57.5614 0.35 164.4611626 259.980752550 57.5614 0.35 164.4611626 259.980752575 57.5614 0.35 164.4611626 259.980752600 57.5614 0.35 164.4611626 259.980752625 57.5614 0.35 164.4611626 259.980752650 57.5614 0.35 164.4611626 259.980752675 57.5614 0.35 164.4611626 259.980752700 57.5614 0.35 164.4611626 259.980752725 57.5614 0.35 164.4611626 259.980752750 57.5614 0.35 164.4611626 259.980752775 57.5614 0.35 164.4611626 259.980752800 57.5614 0.35 164.4611626 259.980752

R101 R10

24 R100t

Page 92: Método de Chow

825 57.5614 0.35 164.4611626 259.980752850 57.5614 0.35 164.4611626 259.980752875 57.5614 0.35 164.4611626 259.980752900 57.5614 0.35 164.4611626 259.980752925 57.5614 0.35 164.4611626 259.980752950 57.5614 0.35 164.4611626 259.980752975 57.5614 0.35 164.4611626 259.980752

1000 57.5614 0.35 164.4611626 259.980752

Cáculos paraR =Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0.35

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 93: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 94: Método de Chow

Variables y constantes de la ecuación de Chen Valores de la gráfica Duración en minutos

X a b c 5 10164.4611626 1.58 18 6 0.69 163.4966 126.2487164.4611626 1.58 18 6 0.69 198.081 152.9541164.4611626 1.58 18 6 0.69 243.7992 188.2567164.4611626 1.58 18 6 0.69 278.3836 214.9621164.4611626 1.58 18 6 0.69 298.6142 230.5837164.4611626 1.58 18 6 0.69 312.968 241.6674164.4611626 1.58 18 6 0.69 324.1017 250.2647164.4611626 1.58 18 6 0.69 333.1986 257.2891164.4611626 1.58 18 6 0.69 340.89 263.2282164.4611626 1.58 18 6 0.69 347.5525 268.3728164.4611626 1.58 18 6 0.69 353.4292 272.9107164.4611626 1.58 18 6 0.69 358.6862 276.97164.4611626 1.58 18 6 0.69 363.4417 280.6421164.4611626 1.58 18 6 0.69 367.7831 283.9945164.4611626 1.58 18 6 0.69 371.7768 287.0783164.4611626 1.58 18 6 0.69 375.4744 289.9336164.4611626 1.58 18 6 0.69 378.9168 292.5917164.4611626 1.58 18 6 0.69 382.1369 295.0782164.4611626 1.58 18 6 0.69 385.1618 297.4139164.4611626 1.58 18 6 0.69 388.0137 299.6161164.4611626 1.58 18 6 0.69 390.7113 301.6992164.4611626 1.58 18 6 0.69 393.2706 303.6754164.4611626 1.58 18 6 0.69 395.705 305.5552164.4611626 1.58 18 6 0.69 398.0261 307.3475164.4611626 1.58 18 6 0.69 400.244 309.0601164.4611626 1.58 18 6 0.69 402.3675 310.6999164.4611626 1.58 18 6 0.69 404.4043 312.2726164.4611626 1.58 18 6 0.69 406.3612 313.7837164.4611626 1.58 18 6 0.69 408.2443 315.2378164.4611626 1.58 18 6 0.69 410.0588 316.6389164.4611626 1.58 18 6 0.69 411.8097 317.9909164.4611626 1.58 18 6 0.69 413.5012 319.2971164.4611626 1.58 18 6 0.69 415.1372 320.5604164.4611626 1.58 18 6 0.69 416.7213 321.7836

Calculo de la precipitación RTt

R10t

Page 95: Método de Chow

164.4611626 1.58 18 6 0.69 418.2567 322.9692164.4611626 1.58 18 6 0.69 419.7462 324.1193164.4611626 1.58 18 6 0.69 421.1925 325.2362164.4611626 1.58 18 6 0.69 422.5981 326.3215164.4611626 1.58 18 6 0.69 423.9652 327.3771164.4611626 1.58 18 6 0.69 425.2958 328.4046164.4611626 1.58 18 6 0.69 426.5918 329.4054164.4611626 1.58 18 6 0.69 427.855 330.3808

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 96: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 97: Método de Chow

Duración en minutos

80 100 120 140 159 18039.5609 34.2459 30.3958 27.4578 25.2351 23.23347.9292 41.4899 36.8255 33.266 30.5731 28.147558.9915 51.066 45.325 40.9439 37.6296 34.644167.3598 58.3101 51.7546 46.7521 42.9676 39.558672.2549 62.5476 55.5157 50.1497 46.0901 42.433475.7281 65.5541 58.1842 52.5603 48.3055 44.473178.4221 67.8862 60.2541 54.4301 50.024 46.055280.6232 69.7916 61.9453 55.9578 51.4281 47.347882.4843 71.4026 63.3752 57.2495 52.6152 48.440884.0964 72.7981 64.6139 58.3684 53.6435 49.387585.5184 74.0291 65.7064 59.3554 54.5506 50.222686.7904 75.1302 66.6837 60.2382 55.362 50.969787.9411 76.1263 67.5678 61.0369 56.096 51.645488.9915 77.0356 68.3749 61.766 56.7661 52.262389.9579 77.8722 69.1174 62.4367 57.3825 52.829890.8526 78.6466 69.8048 63.0577 57.9532 53.355391.6855 79.3677 70.4448 63.6358 58.4845 53.844492.4647 80.0422 71.0435 64.1766 58.9815 54.30293.1966 80.6758 71.6058 64.6846 59.4484 54.731993.8867 81.2731 72.136 65.1635 59.8886 55.137194.5394 81.8382 72.6376 65.6166 60.305 55.520595.1587 82.3742 73.1134 66.0464 60.7 55.884195.7477 82.8841 73.5659 66.4552 61.0757 56.230196.3094 83.3703 73.9975 66.845 61.434 56.5599

96.846 83.8349 74.4098 67.2175 61.7763 56.875197.3599 84.2797 74.8046 67.5741 62.1041 57.176897.8527 84.7063 75.1832 67.9162 62.4184 57.466298.3262 85.1162 75.5471 68.2448 62.7205 57.744398.7818 85.5106 75.8971 68.5611 63.0111 58.011999.2209 85.8907 76.2345 68.8658 63.2912 58.269899.6446 86.2574 76.56 69.1599 63.5614 58.5186100.054 86.6117 76.8745 69.4439 63.8225 58.7589

100.45 86.9544 77.1786 69.7187 64.075 58.9914100.833 87.2862 77.4731 69.9847 64.3195 59.2165

Calculo de la precipitación RTt

Page 98: Método de Chow

101.205 87.6078 77.7586 70.2426 64.5565 59.4347101.565 87.9198 78.0355 70.4927 64.7864 59.6463101.915 88.2227 78.3044 70.7356 65.0096 59.8519102.255 88.5172 78.5657 70.9717 65.2266 60.0516102.586 88.8035 78.8198 71.2013 65.4376 60.2459102.908 89.0822 79.0672 71.4247 65.643 60.4349103.221 89.3537 79.3081 71.6424 65.843 60.6191103.527 89.6183 79.543 71.8545 66.038 60.7986

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 99: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 100: Método de Chow

Duración en minutos

200 220 240 260 280 30021.6522 20.3112 19.1569 18.151 17.2654 16.478726.2322 24.6076 23.2091 21.9905 20.9176 19.964432.2868 30.2871 28.5659 27.066 25.7455 24.572336.8669 34.5836 32.6182 30.9055 29.3976 28.058

39.546 37.0968 34.9886 33.1515 31.534 30.09741.4469 38.88 36.6704 34.745 33.0498 31.543742.9214 40.2631 37.9749 35.9811 34.2255 32.665944.1261 41.3932 39.0408 36.991 35.1861 33.582845.1447 42.3487 39.942 37.8449 35.9983 34.358

46.027 43.1764 40.7227 38.5845 36.7019 35.029546.8053 43.9065 41.4112 39.2369 37.3225 35.621847.5015 44.5595 42.0272 39.8206 37.8776 36.151648.1313 45.1503 42.5844 40.3485 38.3798 36.630948.7062 45.6897 43.0931 40.8305 38.8383 37.068549.2351 46.1858 43.561 41.2738 39.26 37.47149.7248 46.6451 43.9943 41.6843 39.6505 37.843750.1807 47.0728 44.3976 42.0665 40.014 38.190650.6071 47.4728 44.7749 42.424 40.3541 38.515251.0077 47.8486 45.1293 42.7598 40.6735 38.820151.3854 48.2029 45.4635 43.0764 40.9747 39.107551.7426 48.538 45.7796 43.3759 41.2595 39.379452.0816 48.856 46.0794 43.66 41.5298 39.6374

52.404 49.1584 46.3647 43.9303 41.7869 39.882752.7113 49.4467 46.6366 44.188 42.032 40.116753.0051 49.7223 46.8965 44.4342 42.2662 40.340253.2863 49.9861 47.1453 44.67 42.4904 40.5542

53.556 50.2391 47.384 44.8961 42.7055 40.759553.8152 50.4822 47.6133 45.1133 42.9122 40.956754.0646 50.7161 47.8339 45.3224 43.111 41.146554.3049 50.9416 48.0465 45.5238 43.3027 41.329454.5367 51.1591 48.2517 45.7182 43.4876 41.505954.7607 51.3692 48.4499 45.906 43.6662 41.676454.9774 51.5725 48.6416 46.0876 43.8389 41.841355.1872 51.7692 48.8272 46.2635 44.0062 42.0009

Calculo de la precipitación RTt

Page 101: Método de Chow

55.3905 51.96 49.0071 46.4339 44.1684 42.155755.5878 52.145 49.1816 46.5993 44.3257 42.305855.7793 52.3247 49.351 46.7599 44.4784 42.451655.9655 52.4993 49.5157 46.9159 44.6268 42.593256.1465 52.6691 49.6759 47.0677 44.7712 42.73156.3227 52.8345 49.8318 47.2154 44.9117 42.865156.4944 52.9955 49.9837 47.3593 45.0486 42.995856.6617 53.1524 50.1317 47.4995 45.182 43.1231

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 102: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 103: Método de Chow

Duración en minutos

320 340 360 380 400 42015.7743 15.1393 14.5636 14.0386 13.5577 13.1153

19.111 18.3418 17.6442 17.0082 16.4256 15.889523.5219 22.5752 21.7166 20.9338 20.2167 19.556926.8587 25.7776 24.7972 23.9034 23.0846 22.331228.8105 27.6509 26.5993 25.6405 24.7622 23.95430.1954 28.98 27.8778 26.873 25.9524 25.105531.2696 30.011 28.8696 27.829 26.8757 25.998632.1473 30.8533 29.6799 28.6101 27.63 26.728332.8893 31.5655 30.365 29.2705 28.2678 27.345333.5321 32.1824 30.9585 29.8426 28.8203 27.879734.0991 32.7266 31.4819 30.3472 29.3076 28.351234.6063 33.2134 31.9502 30.7986 29.7435 28.772935.0651 33.6537 32.3738 31.2069 30.1379 29.1543

35.484 34.0557 32.7605 31.5797 30.4979 29.502635.8693 34.4255 33.1163 31.9226 30.8291 29.822936.2261 34.7679 33.4456 32.2401 31.1357 30.119636.5582 35.0867 33.7523 32.5357 31.4211 30.395736.8689 35.3849 34.0391 32.8122 31.6882 30.65437.1607 35.6649 34.3085 33.0719 31.939 30.896737.4359 35.929 34.5626 33.3168 32.1755 31.125437.6961 36.1788 34.8029 33.5484 32.3992 31.341837.9431 36.4158 35.0308 33.7681 32.6114 31.547138.1779 36.6412 35.2477 33.9772 32.8133 31.742438.4019 36.8562 35.4544 34.1765 33.0057 31.928638.6159 37.0615 35.652 34.3669 33.1897 32.106538.8207 37.2582 35.8411 34.5492 33.3657 32.276939.0172 37.4468 36.0226 34.7241 33.5346 32.4402

39.206 37.628 36.1969 34.8922 33.6969 32.597239.3877 37.8023 36.3646 35.0539 33.8531 32.748339.5628 37.9703 36.5263 35.2097 34.0035 32.893839.7317 38.1325 36.6822 35.36 34.1487 33.034339.8949 38.2891 36.8329 35.5052 34.289 33.1740.0528 38.4406 36.9786 35.6457 34.4247 33.301240.2056 38.5873 37.1197 35.7817 34.556 33.4283

Page 104: Método de Chow

40.3537 38.7295 37.2565 35.9136 34.6833 33.551440.4974 38.8674 37.3892 36.0415 34.8069 33.6709

40.637 39.0013 37.518 36.1657 34.9268 33.786940.7726 39.1315 37.6432 36.2863 35.0433 33.899740.9045 39.258 37.765 36.4037 35.1567 34.009441.0329 39.3813 37.8835 36.518 35.267 34.116141.1579 39.5013 37.9989 36.6293 35.3745 34.220141.2798 39.6182 38.1115 36.7377 35.4793 34.3214

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 105: Método de Chow
Page 106: Método de Chow

Duración en minutos Para

440 15912.7066 25.235115.3944 30.573118.9475 37.629621.6353 42.967623.2076 46.090124.3232 48.305525.1884 50.02425.8954 51.428126.4932 52.6152

27.011 53.643527.4677 54.550627.8763 55.36228.2458 56.09628.5833 56.766128.8936 57.3825

29.181 57.953229.4485 58.484529.6988 58.981529.9339 59.448430.1555 59.888630.3652 60.30530.5641 60.730.7533 61.075730.9337 61.434

31.106 61.776331.2711 62.104131.4294 62.418431.5815 62.720531.7278 63.011131.8688 63.291232.0049 63.561432.1364 63.822532.2635 64.07532.3866 64.3195

RTt

Page 107: Método de Chow

32.5059 64.556532.6217 64.786432.7341 65.009632.8433 65.226632.9496 65.4376

33.053 65.64333.1537 65.84333.2519 66.038

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 108: Método de Chow
Page 109: Método de Chow

Variables y constantes de la ecuación de Chen

T R

5 43.0435 0.35 122.9815233 173.7327522 122.981523310 43.0435 0.35 122.9815233 173.7327522 122.981523325 43.0435 0.35 122.9815233 173.7327522 122.981523350 43.0435 0.35 122.9815233 173.7327522 122.981523375 43.0435 0.35 122.9815233 173.7327522 122.9815233

100 43.0435 0.35 122.9815233 173.7327522 122.9815233125 43.0435 0.35 122.9815233 173.7327522 122.9815233150 43.0435 0.35 122.9815233 173.7327522 122.9815233175 43.0435 0.35 122.9815233 173.7327522 122.9815233200 43.0435 0.35 122.9815233 173.7327522 122.9815233225 43.0435 0.35 122.9815233 173.7327522 122.9815233250 43.0435 0.35 122.9815233 173.7327522 122.9815233275 43.0435 0.35 122.9815233 173.7327522 122.9815233300 43.0435 0.35 122.9815233 173.7327522 122.9815233325 43.0435 0.35 122.9815233 173.7327522 122.9815233350 43.0435 0.35 122.9815233 173.7327522 122.9815233375 43.0435 0.35 122.9815233 173.7327522 122.9815233400 43.0435 0.35 122.9815233 173.7327522 122.9815233425 43.0435 0.35 122.9815233 173.7327522 122.9815233450 43.0435 0.35 122.9815233 173.7327522 122.9815233475 43.0435 0.35 122.9815233 173.7327522 122.9815233500 43.0435 0.35 122.9815233 173.7327522 122.9815233525 43.0435 0.35 122.9815233 173.7327522 122.9815233550 43.0435 0.35 122.9815233 173.7327522 122.9815233575 43.0435 0.35 122.9815233 173.7327522 122.9815233600 43.0435 0.35 122.9815233 173.7327522 122.9815233625 43.0435 0.35 122.9815233 173.7327522 122.9815233650 43.0435 0.35 122.9815233 173.7327522 122.9815233675 43.0435 0.35 122.9815233 173.7327522 122.9815233700 43.0435 0.35 122.9815233 173.7327522 122.9815233725 43.0435 0.35 122.9815233 173.7327522 122.9815233750 43.0435 0.35 122.9815233 173.7327522 122.9815233775 43.0435 0.35 122.9815233 173.7327522 122.9815233800 43.0435 0.35 122.9815233 173.7327522 122.9815233

R101 R10

24 R100t R10

t

Page 110: Método de Chow

825 43.0435 0.35 122.9815233 173.7327522 122.9815233850 43.0435 0.35 122.9815233 173.7327522 122.9815233875 43.0435 0.35 122.9815233 173.7327522 122.9815233900 43.0435 0.35 122.9815233 173.7327522 122.9815233925 43.0435 0.35 122.9815233 173.7327522 122.9815233950 43.0435 0.35 122.9815233 173.7327522 122.9815233975 43.0435 0.35 122.9815233 173.7327522 122.9815233

1000 43.0435 0.35 122.9815233 173.7327522 122.9815233

Cáculos paraR =Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0.35

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 111: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 112: Método de Chow

Variables y constantes de la ecuación de Chen Valores de la gráfica Duración en minutos

X a b c 5 10 80 1001.41 18 6 0.69 129.8403 100.26 31.4171 27.19631.41 18 6 0.69 148.1219 114.3766 35.8407 31.02551.41 18 6 0.69 172.2887 133.0378 41.6883 36.08751.41 18 6 0.69 190.5703 147.1544 46.1118 39.91671.41 18 6 0.69 201.2643 155.4121 48.6994 42.15671.41 18 6 0.69 208.8518 161.271 50.5353 43.7461.41 18 6 0.69 214.7372 165.8156 51.9594 44.97871.41 18 6 0.69 219.5458 169.5287 53.123 45.98591.41 18 6 0.69 223.6115 172.6682 54.1067 46.83751.41 18 6 0.69 227.1333 175.3877 54.9589 47.57521.41 18 6 0.69 230.2398 177.7864 55.7106 48.22591.41 18 6 0.69 233.0187 179.9322 56.3829 48.8081.41 18 6 0.69 235.5325 181.8733 56.9912 49.33451.41 18 6 0.69 237.8274 183.6454 57.5465 49.81521.41 18 6 0.69 239.9385 185.2755 58.0573 50.25741.41 18 6 0.69 241.893 186.7848 58.5303 50.66681.41 18 6 0.69 243.7127 188.1899 58.9706 51.04791.41 18 6 0.69 245.4149 189.5043 59.3824 51.40451.41 18 6 0.69 247.0138 190.739 59.7693 51.73941.41 18 6 0.69 248.5214 191.9031 60.1341 52.05511.41 18 6 0.69 249.9474 193.0042 60.4791 52.35381.41 18 6 0.69 251.3002 194.0488 60.8065 52.63721.41 18 6 0.69 252.5871 195.0425 61.1179 52.90671.41 18 6 0.69 253.814 195.9899 61.4147 53.16371.41 18 6 0.69 254.9864 196.8952 61.6984 53.40931.41 18 6 0.69 256.1089 197.762 61.97 53.64441.41 18 6 0.69 257.1856 198.5934 62.2305 53.86991.41 18 6 0.69 258.22 199.3921 62.4808 54.08661.41 18 6 0.69 259.2154 200.1608 62.7217 54.29511.41 18 6 0.69 260.1746 200.9014 62.9538 54.4961.41 18 6 0.69 261.1001 201.6161 63.1777 54.68991.41 18 6 0.69 261.9942 202.3065 63.3941 54.87721.41 18 6 0.69 262.8591 202.9743 63.6033 55.05831.41 18 6 0.69 263.6964 203.6209 63.806 55.2337

Calculo de la precipitación RTt

Page 113: Método de Chow

1.41 18 6 0.69 264.508 204.2476 64.0023 55.40371.41 18 6 0.69 265.2954 204.8556 64.1929 55.56861.41 18 6 0.69 266.0599 205.446 64.3779 55.72881.41 18 6 0.69 266.8029 206.0197 64.5576 55.88441.41 18 6 0.69 267.5256 206.5777 64.7325 56.03571.41 18 6 0.69 268.2289 207.1208 64.9027 56.18311.41 18 6 0.69 268.914 207.6498 65.0685 56.32661.41 18 6 0.69 269.5818 208.1655 65.23 56.4664

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 114: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 115: Método de Chow

Duración en minutos

120 140 159 180 200 22024.1388 21.8055 20.0404 18.4504 17.195 16.1327.5375 24.8758 22.8621 21.0483 19.6161 18.401232.0304 28.9344 26.5922 24.4824 22.8165 21.403435.4291 32.0046 29.4139 27.0802 25.2376 23.674537.4173 33.8006 31.0645 28.5998 26.6538 25.00338.8279 35.0748 32.2356 29.678 27.6586 25.9456

39.922 36.0632 33.1439 30.5144 28.438 26.676840.816 36.8708 33.8861 31.1977 29.0749 27.2742

41.5719 37.5536 34.5137 31.7754 29.6133 27.779242.2266 38.1451 35.0573 32.2759 30.0797 28.216842.8041 38.6668 35.5367 32.7173 30.4911 28.602743.3208 39.1335 35.9656 33.1122 30.8591 28.947943.7881 39.5556 36.3536 33.4694 31.192 29.260244.2147 39.941 36.7078 33.7955 31.4959 29.545344.6072 40.2956 37.0337 34.0955 31.7755 29.807544.9706 40.6238 37.3354 34.3732 32.0344 30.050345.3089 40.9294 37.6162 34.6318 32.2753 30.276445.6253 41.2153 37.879 34.8737 32.5008 30.487945.9226 41.4838 38.1257 35.1009 32.7125 30.686546.2029 41.737 38.3584 35.3151 32.9122 30.8738

46.468 41.9765 38.5785 35.5178 33.101 31.050946.7195 42.2037 38.7873 35.71 33.2802 31.21946.9587 42.4198 38.9859 35.8929 33.4506 31.378947.1868 42.6259 39.1753 36.0672 33.6131 31.531347.4048 42.8227 39.3563 36.2338 33.7683 31.676947.6135 43.0113 39.5295 36.3933 33.917 31.816447.8136 43.1921 39.6957 36.5463 34.0596 31.9501

48.006 43.3658 39.8554 36.6933 34.1966 32.078648.191 43.533 40.009 36.8348 34.3284 32.2023

48.3693 43.6941 40.1571 36.9711 34.4554 32.321548.5414 43.8495 40.2999 37.1026 34.578 32.436448.7076 43.9997 40.4379 37.2296 34.6964 32.547548.8684 44.1449 40.5714 37.3525 34.8109 32.65549.0241 44.2855 40.7006 37.4715 34.9218 32.759

Calculo de la precipitación RTt

Page 116: Método de Chow

49.175 44.4218 40.8259 37.5868 35.0293 32.859849.3214 44.554 40.9474 37.6987 35.1336 32.957649.4635 44.6824 41.0654 37.8074 35.2348 33.052649.6016 44.8072 41.1801 37.913 35.3332 33.1449

49.736 44.9286 41.2917 38.0156 35.4289 33.234749.8667 45.0467 41.4002 38.1156 35.5221 33.322149.9941 45.1618 41.506 38.2129 35.6128 33.407250.1182 45.2739 41.609 38.3078 35.7012 33.4901

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 117: Método de Chow

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250152535455565758595

105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445

Método de Chen, estación la Concha

Periodo de rettorno = 5 años

Periodo de retorno = 10 años

Perido de retorno = 25 años

Periodo de retorno= 50 años

Periodo de retorno = 75 años

Periodo de retorno = 100 años

Periodo de retorno = 125

Periodo de retorno = 150 años

Periodo de retorno =175 años

Periodo de retorno = 200 años

Periodo de retorno = 250 años

Periodo de retorno = 500 años

Periodo de retorno = 750 años

Periodo de retorno = 1000 años

Duración en mins

Precipitación en mmm/ hr

Page 118: Método de Chow

Duración en minutos

240 260 280 300 320 34015.2134 14.4146 13.7113 13.0865 12.5271 12.022917.3554 16.4442 15.6418 14.9291 14.2909 13.7157

20.187 19.1271 18.1939 17.3648 16.6226 15.953522.3291 21.1567 20.1244 19.2074 18.3864 17.646323.5821 22.3439 21.2537 20.2852 19.4181 18.636524.4711 23.1863 22.055 21.05 20.1502 19.339125.1607 23.8396 22.6765 21.6431 20.718 19.884125.7241 24.3735 23.1843 22.1278 21.182 20.329426.2005 24.8249 23.6136 22.5376 21.5742 20.705826.6132 25.2158 23.9855 22.8925 21.914 21.031926.9772 25.5607 24.3136 23.2056 22.2137 21.319627.3028 25.8692 24.607 23.4857 22.4818 21.576927.5973 26.1483 24.8725 23.7391 22.7244 21.809727.8662 26.4031 25.1148 23.9704 22.9458 22.022228.1135 26.6374 25.3378 24.1832 23.1495 22.217728.3426 26.8544 25.5442 24.3802 23.338 22.398628.5558 27.0564 25.7363 24.5636 23.5136 22.567128.7552 27.2454 25.9161 24.7351 23.6778 22.724828.9426 27.4229 26.0849 24.8963 23.8321 22.872829.1192 27.5903 26.2441 25.0482 23.9775 23.012429.2863 27.7486 26.3947 25.1919 24.1151 23.144529.4448 27.8988 26.5376 25.3283 24.2456 23.269729.5956 28.0417 26.6735 25.458 24.3698 23.388929.7393 28.1779 26.803 25.5817 24.4882 23.502529.8767 28.308 26.9268 25.6998 24.6013 23.611130.0082 28.4326 27.0454 25.813 24.7096 23.71530.1344 28.5522 27.1591 25.9215 24.8135 23.814730.2556 28.667 27.2683 26.0257 24.9133 23.910530.3722 28.7775 27.3734 26.1261 25.0093 24.002730.4846 28.884 27.4747 26.2227 25.1018 24.0915

30.593 28.9868 27.5725 26.316 25.1911 24.177230.6978 29.086 27.6669 26.4061 25.2774 24.2630.7991 29.182 27.7582 26.4933 25.3608 24.3430.8973 29.275 27.8466 26.5777 25.4416 24.4176

Calculo de la precipitación RTt

Page 119: Método de Chow

30.9924 29.3651 27.9323 26.6595 25.5199 24.492731.0846 29.4525 28.0155 26.7389 25.5959 24.565631.1742 29.5374 28.0962 26.8159 25.6697 24.636431.2612 29.6199 28.1747 26.8908 25.7414 24.705231.3459 29.7001 28.251 26.9636 25.8111 24.772231.4283 29.7782 28.3253 27.0345 25.8789 24.837331.5086 29.8542 28.3976 27.1036 25.945 24.900731.5868 29.9284 28.4681 27.1709 26.0095 24.9626

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 120: Método de Chow
Page 121: Método de Chow

Duración en minutos Para

360 380 400 420 440 15911.5656 11.1487 10.7668 10.4154 10.0909 20.040413.1941 12.7185 12.2828 11.8819 11.5117 22.862115.3467 14.7936 14.2868 13.8205 13.3899 26.592216.9752 16.3633 15.8028 15.287 14.8107 29.413917.9277 17.2815 16.6896 16.1449 15.6418 31.064518.6036 17.933 17.3187 16.7535 16.2315 32.235619.1279 18.4384 17.8068 17.2256 16.6889 33.143919.5562 18.8513 18.2055 17.6114 17.0626 33.886119.9183 19.2004 18.5427 17.9375 17.3786 34.513720.2321 19.5028 18.8347 18.22 17.6523 35.057320.5088 19.7695 19.0923 18.4692 17.8937 35.536720.7563 20.0081 19.3227 18.6921 18.1097 35.965620.9802 20.224 19.5312 18.8938 18.305 36.353621.1846 20.421 19.7215 19.0779 18.4834 36.707821.3727 20.6023 19.8966 19.2472 18.6475 37.033721.5468 20.7701 20.0586 19.404 18.7994 37.335421.7089 20.9264 20.2095 19.55 18.9408 37.616221.8605 21.0725 20.3507 19.6865 19.0731 37.87922.0029 21.2098 20.4833 19.8148 19.1973 38.125722.1372 21.3393 20.6083 19.9357 19.3145 38.358422.2642 21.4617 20.7265 20.0501 19.4253 38.578522.3847 21.5779 20.8387 20.1586 19.5305 38.787322.4994 21.6884 20.9454 20.2619 19.6305 38.985922.6086 21.7937 21.0472 20.3603 19.7258 39.175322.7131 21.8944 21.1444 20.4543 19.817 39.356322.8131 21.9908 21.2375 20.5444 19.9042 39.5295

22.909 22.0832 21.3267 20.6307 19.9879 39.695723.0011 22.172 21.4125 20.7137 20.0683 39.855423.0898 22.2575 21.4951 20.7936 20.1456 40.00923.1752 22.3399 21.5746 20.8705 20.2202 40.157123.2577 22.4193 21.6514 20.9448 20.2921 40.299923.3373 22.4961 21.7255 21.0165 20.3616 40.437923.4143 22.5704 21.7972 21.0859 20.4288 40.571423.4889 22.6423 21.8666 21.153 20.4939 40.7006

RTt

Page 122: Método de Chow

23.5612 22.712 21.9339 21.2181 20.557 40.825923.6314 22.7796 21.9992 21.2813 20.6181 40.947423.6995 22.8452 22.0626 21.3426 20.6776 41.065423.7656 22.909 22.1243 21.4022 20.7353 41.1801

23.83 22.9711 22.1842 21.4602 20.7915 41.291723.8927 23.0315 22.2425 21.5166 20.8461 41.400223.9537 23.0903 22.2993 21.5716 20.8994 41.50624.0132 23.1476 22.3547 21.6251 20.9513 41.609

Este valor es el que el Mtro dijo, pero si se checan en el mapa de la pag 2 del articulo, en dónde nos muestra los valores de k ( k = R) para la república, tenemmos uqe nuestra cuenca cae más o menos en la zona amarilla del estado, o sea que debe de tener un valor < 0.37, lo ue se cumple con el valor que proponemos

Page 123: Método de Chow
Page 124: Método de Chow

Estación

La concha

Año Probabilidad

1 1974 287.0000 0.0256 39.0000 2 2009 199.7000 0.0513 19.5000 3 1979 177.0000 0.0769 13.0000 4 1991 165.3000 0.1026 9.7500 5 1978 153.0000 0.1282 7.8000 6 2007 149.6000 0.1538 6.5000 7 1997 147.0000 0.1795 5.5714 8 2003 140.5000 0.2051 4.8750 9 1993 137.5000 0.2308 4.3333

10 2011 137.0000 0.2564 3.9000 11 1994 132.0000 0.2821 3.5455 12 1988 128.2000 0.3077 3.2500 13 1999 125.2000 0.3333 3.0000 14 2008 122.0000 0.3590 2.7857 15 2010 121.8000 0.3846 2.6000 16 1976 117.3000 0.4103 2.4375 17 1984 114.8000 0.4359 2.2941 18 1983 104.8000 0.4615 2.1667 19 1995 104.5000 0.4872 2.0526 20 2000 102.8000 0.5128 1.9500 21 1975 100.5000 0.5385 1.8571 22 1985 97.2000 0.5641 1.7727 23 1987 89.7000 0.5897 1.6957 24 1981 89.2000 0.6154 1.6250 25 1992 87.0000 0.6410 1.5600 26 2004 83.2000 0.6667 1.5000 27 1977 80.0000 0.6923 1.4444 28 2005 79.9000 0.7179 1.3929 29 1998 78.0000 0.7436 1.3448 30 2001 77.8000 0.7692 1.3000 31 2002 77.0000 0.7949 1.2581 32 1996 75.3000 0.8205 1.2188 33 2006 73.7000 0.8462 1.1818 34 1980 72.0000 0.8718 1.1471 35 1990 64.0000 0.8974 1.1143 36 1982 63.1000 0.9231 1.0833 37 1986 62.5000 0.9487 1.0541 38 1989 53.0000 0.9744 1.0263 39 1964 - 100.0000 40 1965 - 10.0000 41 1966 - 42 1967 -

Precipitacion (mm)

Periodode retorno

Page 125: Método de Chow

43 1968 - 44 1969 - 45 1970 - 46 1971 - 47 1972 - 48 1973 -

Media 112.3711 Desv. estándar 45.4746 Varianza 2,067.9389

N = µy σy40 0.54228 1.13618

Alpha = 0.025β = 90.6798526316

X Y20 0.5236 1.0628 2525 0.5309 1.091430 0.5362 1.112435 0.5403 1.128540 0.5436 1.141345 0.5463 1.1518

Page 126: Método de Chow

La concha

Gumbell F(x) z

236.7039 0.9744 1.9498 3.84 208.4482 0.9487 1.6324 1.9204 191.6877 0.9231 1.4263 1.4212 179.6258 0.8974 1.2669 1.1639 170.1321 0.8718 1.1350 0.8934 162.2574 0.8462 1.0203 0.8187 155.4946 0.8205 0.9173 0.7615 149.5410 0.7949 0.8236 0.6186 144.2007 0.7692 0.7362 0.5526 139.3398 0.7436 0.6545 0.5416 134.8622 0.7179 0.5766 0.4316 130.6967 0.6923 0.5024 0.3481 126.7887 0.6667 0.4308 0.2821 123.0953 0.6410 0.3611 0.2117 119.5822 0.6154 0.2934 0.2073 116.2211 0.5897 0.2268 0.1084 112.9882 0.5641 0.1614 0.0534 109.8633 0.5385 0.0966 - 0.1665 106.8288 0.5128 0.0321 - 0.1731 103.8688 0.4872 100.9691 0.4615 98.1163 0.4359 95.2975 0.4103 92.5002 0.3846 89.7115 0.3590 86.9179 0.3333 84.1049 0.3077 81.2559 0.2821 78.3518 0.2564 75.3692 0.2308 72.2787 0.2051 69.0415 0.1795 65.6038 0.1538 61.8859 0.1282 57.7608 0.1026 53.0023 0.0769 47.1318 0.0513 38.7424 0.0256 274.6858 180.6945

Page 127: Método de Chow
Page 128: Método de Chow

Joya

Año Probabilidad

1999 177.2000 0.0400 25.0000 169.9727 1995 136.3000 0.0800 12.5000 145.1739 2005 107.9000 0.1200 8.3333 130.3371 2007 105.3000 0.1600 6.2500 119.5608 1993 103.2000 0.2000 5.0000 110.9937 1998 94.6000 0.2400 4.1667 103.8095 2003 91.7000 0.2800 3.5714 97.5655 1992 91.5000 0.3200 3.1250 91.9956 1991 90.7000 0.3600 2.7778 86.9261 2008 85.9000 0.4000 2.5000 82.2364 2001 85.0000 0.4400 2.2727 77.8375 1997 84.0000 0.4800 2.0833 73.6611 2006 81.5000 0.5200 1.9231 69.6517 2002 74.3000 0.5600 1.7857 65.7617 2000 72.5000 0.6000 1.6667 61.9480 2004 72.0000 0.6400 1.5625 58.1687 1994 63.9000 0.6800 1.4706 54.3801 1985 60.2000 0.7200 1.3889 50.5323 1996 57.2000 0.7600 1.3158 46.5633 1986 45.0000 0.8000 1.2500 42.3887 1987 18.8000 0.8400 1.1905 37.8804 1988 18.8000 0.8800 1.1364 32.8173 1989 18.8000 0.9200 1.0870 26.7413 1990 18.8000 0.9600 1.0417 18.3211 1964 - 1965 - 1966 - 1967 - 1968 - 1969 - 1970 - 1971 - 1972 - 1973 - 1974 - 1975 - 1976 - 1977 - 1978 - 100.0000 218.6399 1979 - 10.0000 137.0503 1980 - 1981 -

Precipitacion (mm)

Periodode retorno

Periodo de retorno Gumbell

Page 129: Método de Chow

1982 - 1983 - 1984 - 2009 - 2010 - 2011 -

Media 77.2958 Desv. estándar 37.6507 Varianza 1,417.5743

N = µy σy26 0.52944 1.08568

0.028858.9125

µy σy0.5309 1.0914

Page 130: Método de Chow

Joya Los pescados

Año Probabilidad

1999 300.5000 0.0294 34.0000 1995 136.6000 0.0588 17.0000 1979 118.0000 0.0882 11.3333 1980 112.0000 0.1176 8.5000 1991 104.0000 0.1471 6.8000 2005 98.1000 0.1765 5.6667 1985 90.5000 0.2059 4.8571 1981 87.5000 0.2353 4.2500 1992 86.5000 0.2647 3.7778 2000 86.1000 0.2941 3.4000 1998 82.8000 0.3235 3.0909 2001 78.1000 0.3529 2.8333 2007 65.3000 0.3824 2.6154 1993 64.5000 0.4118 2.4286 1990 63.8000 0.4412 2.2667 2009 60.2000 0.4706 2.1250 1964 60.0000 0.5000 2.0000 1984 56.0000 0.5294 1.8889 1982 55.0000 0.5588 1.7895 1996 48.6000 0.5882 1.7000 1989 47.0000 0.6176 1.6190 1986 46.8000 0.6471 1.5455 2008 40.5000 0.6765 1.4783 2002 40.1000 0.7059 1.4167 1988 39.9000 0.7353 1.3600 1987 38.0000 0.7647 1.3077 1997 36.2000 0.7941 1.2593 2006 34.8000 0.8235 1.2143 1994 29.5000 0.8529 1.1724 2004 29.2000 0.8824 1.1333 1983 26.0000 0.9118 1.0968 20112003196519661967196819691970 100.0000 1971 10.0000 19721973

Precipitacion (mm)

Periodode retorno

Page 131: Método de Chow

197419751976197719782010

Media 72.9710 Desv. estándar 51.1021 Varianza 2,611.4288

N = µy σy33 0.53702 1.11562

0.021848.3370227878

Page 132: Método de Chow

Los pescados Tembladeras

Año Probabilidad

209.4137 1974 315.0000 0.0222 176.9175 1999 200.0000 0.0444 157.5993 1985 165.0000 0.0667 143.6644 1975 139.0000 0.0889 132.6693 2007 133.0000 0.1111 123.5248 1981 131.0000 0.1333 115.6490 1979 126.0000 0.1556 108.6941 1993 126.0000 0.1778 102.4347 1966 120.0000 0.2000 96.7165 2005 120.0000 0.2222 91.4283 1991 112.0000 0.2444 86.4874 2008 104.0000 0.2667 81.8300 2000 103.0000 0.2889 77.4055 1978 102.0000 0.3111 73.1728 1972 100.3000 0.3333 69.0973 1969 100.0000 0.3556 65.1495 1992 100.0000 0.3778 61.3033 1984 98.0000 0.4000 57.5349 1970 90.0000 0.4222 53.8218 1998 89.0000 0.4444 50.1422 1997 87.0000 0.4667 46.4738 1973 81.0000 0.4889 42.7931 1980 80.0000 0.5111 39.0737 2004 80.0000 0.5333 35.2852 1976 77.0000 0.5556 31.3904 1986 75.0000 0.5778 27.3412 2006 75.0000 0.6000 23.0720 1995 73.5000 0.6222 18.4874 1983 73.0000 0.6444 13.4363 1982 71.5000 0.6667 7.6506 2001 71.0000 0.6889

1971 69.5000 0.7111 2003 69.5000 0.7333 1996 69.0000 0.7556 1990 67.5000 0.7778 1989 65.2000 0.8000 1968 63.0000 0.8222 1988 60.5000 0.8444

259.3530 2002 58.4000 0.8667 151.5649 1965 53.5000 0.8889

1994 53.0000 0.9111 1987 50.0000 0.9333

Periodo de retorno Gumbell

Precipitacion (mm)

Page 133: Método de Chow

1977 46.0000 0.9556 1967 45.0000 0.9778 1964 - 2009 - 2010 - 2011 -

Media 95.1682 Desv. estándar 46.8293 Varianza 2,192.9813

N = µy σy46 0.54576 1.1497

0.024672.9828159645

Page 134: Método de Chow

Tembladeras Briones

Año

45.0000 227.2693 1999 148.1000 22.5000 198.6279 1993 130.0000 15.0000 181.6719 1996 130.0000 11.2500 169.4944 2000 115.9000 9.0000 159.9304 2005 95.0000 7.5000 152.0156 2008 93.7000 6.4286 145.2351 1984 90.4000 5.6250 139.2814 1986 90.0000 5.0000 133.9560 1991 86.7000 4.5000 129.1231 1995 85.6000 4.0909 124.6856 1989 85.0000 3.7500 120.5716 1997 83.5000 3.4615 116.7262 1990 81.4000 3.2143 113.1067 2002 81.2000 3.0000 109.6788 1992 80.7000 2.8125 106.4146 1998 80.6000 2.6471 103.2910 1994 75.4000 2.5000 100.2888 1985 73.7000 2.3684 97.3913 2006 73.5000 2.2500 94.5841 2004 69.8000 2.1429 91.8546 2001 69.1000 2.0455 89.1916 1988 60.6000 1.9565 86.5847 2003 58.2000 1.8750 84.0245 1987 56.8000 1.8000 81.5021 2007 51.2000 1.7308 79.0089 2009 1.6667 76.5365 2010 1.6071 74.0767 2011 1.5517 71.6208 1964 1.5000 69.1597 1965 1.4516 66.6838 1966 1.4063 64.1823 1967 1.3636 61.6429 1968 - 1.3235 59.0513 1969 - 1.2857 56.3901 1970 - 1.2500 53.6379 1971 - 1.2162 50.7668 1972 - 1.1842 47.7397 1973 - 1.1538 44.5043 1974 - 1.1250 40.9830 1975 - 1.0976 37.0511 1976 - 1.0714 32.4857 1977 -

Periodode retorno

Periodo de retorno Gumbell

Precipitacion (mm)

Page 135: Método de Chow

1.0465 26.8140 1978 - 1.0227 18.6433 1979 -

1980 - 100.0000 259.9808 1981 - 10.0000 164.4612 1982 -

1983 -

Media 85.8440 Desv. estándar 23.5906 Varianza 556.5184

N = µy 27 0.5309

0.046374.3774773218

Page 136: Método de Chow

Briones

Probabilidad

0.0345 29.0000 146.7274 0.0690 14.5000 131.3674 0.1034 9.6667 122.2086 0.1379 7.2500 115.5807 0.1724 5.8000 110.3327 0.2069 4.8333 105.9514 0.2414 4.1429 102.1623 0.2759 3.6250 98.8009 0.3103 3.2222 95.7605 0.3448 2.9000 92.9676 0.3793 2.6364 90.3688 0.4138 2.4167 87.9240 0.4483 2.2308 85.6018 0.4828 2.0714 83.3766 0.5172 1.9333 81.2269 0.5517 1.8125 79.1337 0.5862 1.7059 77.0799 0.6207 1.6111 75.0487 0.6552 1.5263 73.0232 0.6897 1.4500 70.9852 0.7241 1.3810 68.9136 0.7586 1.3182 66.7828 0.7931 1.2609 64.5590 0.8276 1.2083 62.1940 0.8621 1.1600 59.6128

100.0000 173.7328 10.0000 122.9815

Periodode retorno

Periodo de retorno Gumbell

Page 137: Método de Chow

σy1.0914

Page 138: Método de Chow

- 5.0000 10.0000 15.0000 20.0000 25.0000 30.0000 35.0000 40.0000 45.0000 -

50.0000

100.0000

150.0000

200.0000

250.0000

300.0000

350.0000

Chart Title

Valores observados

Datos calculados

Axis Title

Axis Title

Page 139: Método de Chow

- 5.0000 10.0000 15.0000 20.0000 25.0000 30.0000 -

20.0000

40.0000

60.0000

80.0000

100.0000

120.0000

140.0000

160.0000

180.0000

200.0000

Valores observados

valores calculados

Page 140: Método de Chow

- 5.0000 10.0000 15.0000 20.0000 25.0000 30.0000 35.0000 40.0000 -

50.0000

100.0000

150.0000

200.0000

250.0000

300.0000

350.0000

Valores observados

Valores calculados

Page 141: Método de Chow

- 5.0000 10.0000 15.0000 20.0000 25.0000 30.0000 35.0000 40.0000 45.0000 50.0000 -

50.0000

100.0000

150.0000

200.0000

250.0000

300.0000

350.0000

Datos observados

Datos calculados

Page 142: Método de Chow

- 5.0000 10.0000 15.0000 20.0000 25.0000 30.0000 35.0000 -

20.0000

40.0000

60.0000

80.0000

100.0000

120.0000

140.0000

160.0000

Datos observados

Datos calculados

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normal 0 0.01 0.02 0.03 0.04 0.05 0.06 0.070 0.5 0.50399 0.50798 0.51197 0.51595 0.51994 0.52392 0.5279

0.1 0.53983 0.5438 0.54776 0.55172 0.55567 0.55962 0.56356 0.567490.2 0.57926 0.58317 0.58706 0.59095 0.59483 0.59871 0.60257 0.606420.3 0.61791 0.62172 0.62552 0.6293 0.63307 0.63683 0.64058 0.644310.4 0.65542 0.6591 0.66276 0.6664 0.67003 0.67364 0.67724 0.680820.5 0.69146 0.69497 0.69847 0.70194 0.7054 0.70884 0.71226 0.715660.6 0.72575 0.72907 0.73237 0.73565 0.73891 0.74215 0.74537 0.748570.7 0.75804 0.76115 0.76424 0.7673 0.77035 0.77337 0.77637 0.779350.8 0.78814 0.79103 0.79389 0.79673 0.79955 0.80234 0.80511 0.807850.9 0.81594 0.81859 0.82121 0.82381 0.82639 0.82894 0.83147 0.833981 0.84134 0.84375 0.84614 0.84849 0.85083 0.85314 0.85543 0.85769

1.1 0.86433 0.8665 0.86864 0.87076 0.87286 0.87493 0.87698 0.8791.2 0.88493 0.88686 0.88877 0.89065 0.89251 0.89435 0.89617 0.897961.3 0.9032 0.9049 0.90658 0.90824 0.90988 0.91149 0.91308 0.914661.4 0.91924 0.92073 0.9222 0.92364 0.92507 0.92647 0.92785 0.929221.5 0.93319 0.93448 0.93574 0.93699 0.93822 0.93943 0.94062 0.941791.6 0.9452 0.9463 0.94738 0.94845 0.9495 0.95053 0.95154 0.952541.7 0.95543 0.95637 0.95728 0.95818 0.95907 0.95994 0.9608 0.961641.8 0.96407 0.96485 0.96562 0.96638 0.96712 0.96784 0.96856 0.969261.9 0.97128 0.97193 0.97257 0.9732 0.97381 0.97441 0.975 0.975582 0.97725 0.97778 0.97831 0.97882 0.97932 0.97982 0.9803 0.98077

2.1 0.98214 0.98257 0.983 0.98341 0.98382 0.98422 0.98461 0.9852.2 0.9861 0.98645 0.98679 0.98713 0.98745 0.98778 0.98809 0.98842.3 0.98928 0.98956 0.98983 0.9901 0.99036 0.99061 0.99086 0.991112.4 0.9918 0.99202 0.99224 0.99245 0.99266 0.99286 0.99305 0.993242.5 0.99379 0.99396 0.99413 0.9943 0.99446 0.99461 0.99477 0.994922.6 0.99534 0.99547 0.9956 0.99573 0.99585 0.99598 0.99609 0.996212.7 0.99653 0.99664 0.99674 0.99683 0.99693 0.99702 0.99711 0.99722.8 0.99744 0.99752 0.9976 0.99767 0.99774 0.99781 0.99788 0.997952.9 0.99813 0.99819 0.99825 0.99831 0.99836 0.99841 0.99846 0.998513 0.99865 0.99869 0.99874 0.99878 0.99882 0.99886 0.99889 0.99893

3.1 0.99903 0.99906 0.9991 0.99913 0.99916 0.99918 0.99921 0.999243.2 0.99931 0.99934 0.99936 0.99938 0.9994 0.99942 0.99944 0.999463.3 0.99952 0.99953 0.99955 0.99957 0.99958 0.9996 0.99961 0.999623.4 0.99966 0.99968 0.99969 0.9997 0.99971 0.99972 0.99973 0.999743.5 0.99977 0.99978 0.99978 0.99979 0.9998 0.99981 0.99981 0.999823.6 0.99984 0.99985 0.99985 0.99986 0.99986 0.99987 0.99987 0.999883.7 0.99989 0.9999 0.9999 0.9999 0.99991 0.99991 0.99992 0.999923.8 0.99993 0.99993 0.99993 0.99994 0.99994 0.99994 0.99994 0.999953.9 0.99995 0.99995 0.99996 0.99996 0.99996 0.99996 0.99996 0.999964 0.99997 0.99997 0.99997 0.99997 0.99997 0.99997 0.99998 0.99998

1T 0zzPT

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0.08 0.090.53188 0.53586 Valor buscado Valor cercano por arriba0.57142 0.57535 0.983 x y0.61026 0.61409 0.98341 2.130.64803 0.65173 Valor cercano por abajo0.68439 0.68793 x y0.71904 0.7224 0.983 2.120.75175 0.7549 60.7823 0.785240.81057 0.813270.83646 0.838910.85993 0.86214

0.881 0.882980.89973 0.901470.91621 0.917740.93056 0.931890.94295 0.944080.95352 0.954490.96246 0.963270.96995 0.970620.97615 0.97670.98124 0.981690.98537 0.985740.9887 0.988990.99134 0.991580.99343 0.993610.99506 0.99520.99632 0.996430.99728 0.997360.99801 0.998070.99856 0.998610.99896 0.9990.99926 0.999290.99948 0.99950.99964 0.999650.99975 0.999760.99983 0.999830.99988 0.999890.99992 0.999920.99995 0.999950.99997 0.999970.99998 0.99998

1T

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f(X) z0.983 2.12

PosiciónPosición Z Probabilidad num inferior num superior

1 0 0.5 213 2142 0.01 0.503993 0.02 #NAME?4 0.03 #NAME?5 0.04 #NAME?6 0.05 #NAME?7 0.06 #NAME?8 0.07 #NAME?9 0.08 #NAME?10 0.09 #NAME?11 0.1 0.5398312 0.11 #NAME?13 0.12 #NAME?14 0.13 #NAME?15 0.14 #NAME?16 0.15 #NAME?17 0.16 #NAME?18 0.17 #NAME?19 0.18 #NAME?20 0.19 #NAME?21 0.2 #NAME?22 0.21 #NAME?23 0.22 #NAME?24 0.23 #NAME?25 0.24 #NAME?26 0.25 #NAME?27 0.26 #NAME?28 0.27 #NAME?29 0.28 #NAME?30 0.29 #NAME?31 0.3 #NAME?32 0.31 #NAME?33 0.32 #NAME?34 0.33 #NAME?35 0.34 #NAME?36 0.35 #NAME?37 0.36 #NAME?38 0.37 #NAME?39 0.38 #NAME?40 0.39 #NAME?

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Valor buscado Valor cercano por arriba0.4872 x y f(X) z

0.0001036296 -3.71 0.4872 #DIV/0!Valor cercano por abajo

x y0.0001036296 -3.71 Posición

Posición Z Probabilidad num inferior num superior1 -0.01 0.4960106437 371 3722 -0.02 #NAME?3 -0.03 #NAME?4 -0.04 #NAME?5 -0.05 #NAME?6 -0.06 #NAME?7 -0.07 #NAME?8 -0.08 #NAME?9 -0.09 #NAME?10 -0.1 #NAME?11 -0.11 #NAME?12 -0.12 #NAME?13 -0.13 #NAME?14 -0.14 #NAME?15 -0.15 #NAME?16 -0.16 #NAME?17 -0.17 #NAME?18 -0.18 #NAME?19 -0.19 #NAME?20 -0.2 #NAME?21 -0.21 #NAME?22 -0.22 #NAME?23 -0.23 #NAME?24 -0.24 #NAME?25 -0.25 #NAME?26 -0.26 #NAME?27 -0.27 #NAME?28 -0.28 #NAME?29 -0.29 #NAME?30 -0.3 #NAME?31 -0.31 #NAME?32 -0.32 #NAME?33 -0.33 #NAME?34 -0.34 #NAME?35 -0.35 #NAME?36 -0.36 #NAME?37 -0.37 #NAME?38 -0.38 #NAME?39 -0.39 #NAME?40 -0.4 #NAME?

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normal 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07-4 0.00003 0.00003 0.00003 0.00003 0.00003 0.00003 0.00002 0.00002

-3.9 0.00005 0.00005 0.00004 0.00004 0.00004 0.00004 0.00004 0.00004-3.8 0.00007 0.00007 0.00007 0.00006 0.00006 0.00006 0.00006 0.00005-3.7 0.00011 0.0001 0.0001 0.0001 0.00009 0.00009 0.00008 0.00008-3.6 0.00016 0.00015 0.00015 0.00014 0.00014 0.00013 0.00013 0.00012-3.5 0.00023 0.00022 0.00022 0.00021 0.0002 0.00019 0.00019 0.00018-3.4 0.00034 0.00032 0.00031 0.0003 0.00029 0.00028 0.00027 0.00026-3.3 0.00048 0.00047 0.00045 0.00043 0.00042 0.0004 0.00039 0.00038-3.2 0.00069 0.00066 0.00064 0.00062 0.0006 0.00058 0.00056 0.00054-3.1 0.00097 0.00094 0.0009 0.00087 0.00084 0.00082 0.00079 0.00076-3 0.00135 0.00131 0.00126 0.00122 0.00118 0.00114 0.00111 0.00107

-2.9 0.00187 0.00181 0.00175 0.00169 0.00164 0.00159 0.00154 0.00149-2.8 0.00256 0.00248 0.0024 0.00233 0.00226 0.00219 0.00212 0.00205-2.7 0.00347 0.00336 0.00326 0.00317 0.00307 0.00298 0.00289 0.0028-2.6 0.00466 0.00453 0.0044 0.00427 0.00415 0.00402 0.00391 0.00379-2.5 0.00621 0.00604 0.00587 0.0057 0.00554 0.00539 0.00523 0.00508-2.4 0.0082 0.00798 0.00776 0.00755 0.00734 0.00714 0.00695 0.00676-2.3 0.01072 0.01044 0.01017 0.0099 0.00964 0.00939 0.00914 0.00889-2.2 0.0139 0.01355 0.01321 0.01287 0.01255 0.01222 0.01191 0.0116-2.1 0.01786 0.01743 0.017 0.01659 0.01618 0.01578 0.01539 0.015-2 0.02275 0.02222 0.02169 0.02118 0.02068 0.02018 0.0197 0.01923

-1.9 0.02872 0.02807 0.02743 0.0268 0.02619 0.02559 0.025 0.02442-1.8 0.03593 0.03515 0.03438 0.03362 0.03288 0.03216 0.03144 0.03074-1.7 0.04457 0.04363 0.04272 0.04182 0.04093 0.04006 0.0392 0.03836-1.6 0.0548 0.0537 0.05262 0.05155 0.0505 0.04947 0.04846 0.04746-1.5 0.06681 0.06552 0.06426 0.06301 0.06178 0.06057 0.05938 0.05821-1.4 0.08076 0.07927 0.0778 0.07636 0.07493 0.07353 0.07215 0.07078-1.3 0.0968 0.0951 0.09342 0.09176 0.09012 0.08851 0.08692 0.08534-1.2 0.11507 0.11314 0.11123 0.10935 0.10749 0.10565 0.10383 0.10204-1.1 0.13567 0.1335 0.13136 0.12924 0.12714 0.12507 0.12302 0.121-1 0.15866 0.15625 0.15386 0.15151 0.14917 0.14686 0.14457 0.14231

-0.9 0.18406 0.18141 0.17879 0.17619 0.17361 0.17106 0.16853 0.16602-0.8 0.21186 0.20897 0.20611 0.20327 0.20045 0.19766 0.19489 0.19215-0.7 0.24196 0.23885 0.23576 0.2327 0.22965 0.22663 0.22363 0.22065-0.6 0.27425 0.27093 0.26763 0.26435 0.26109 0.25785 0.25463 0.25143-0.5 0.30854 0.30503 0.30153 0.29806 0.2946 0.29116 0.28774 0.28434-0.4 0.34458 0.3409 0.33724 0.3336 0.32997 0.32636 0.32276 0.31918-0.3 0.38209 0.37828 0.37448 0.3707 0.36693 0.36317 0.35942 0.35569-0.2 0.42074 0.41683 0.41294 0.40905 0.40517 0.40129 0.39743 0.39358-0.1 0.46017 0.4562 0.45224 0.44828 0.44433 0.44038 0.43644 0.43251

0 0.5 0.49601 0.49202 0.48803 0.48405 0.48006 0.47608 0.4721

0zzPT T 0

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0.08 0.090.00002 0.000020.00003 0.000030.00005 0.000050.00008 0.000080.00012 0.000110.00017 0.000170.00025 0.000240.00036 0.000350.00052 0.00050.00074 0.000710.00104 0.0010.00144 0.001390.00199 0.001930.00272 0.002640.00368 0.003570.00494 0.00480.00657 0.006390.00866 0.008420.0113 0.01101

0.01463 0.014260.01876 0.018310.02385 0.02330.03005 0.029380.03754 0.036730.04648 0.045510.05705 0.055920.06944 0.068110.08379 0.082260.10027 0.09853

0.119 0.117020.14007 0.137860.16354 0.161090.18943 0.186730.2177 0.214760.24825 0.24510.28096 0.27760.31561 0.312070.35197 0.348270.38974 0.385910.42858 0.424650.46812 0.46414

T 0

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100 0.99 #NAME?101 1 #NAME?102 1.01 #NAME?103 1.02 #NAME?104 1.03 #NAME?105 1.04 #NAME?106 1.05 #NAME?107 1.06 #NAME?108 1.07 #NAME?109 1.08 #NAME?110 1.09 #NAME?111 1.1 #NAME?112 1.11 #NAME?113 1.12 #NAME?114 1.13 #NAME?115 1.14 #NAME?116 1.15 #NAME?117 1.16 #NAME?118 1.17 #NAME?119 1.18 #NAME?120 1.19 #NAME?121 1.2 #NAME?122 1.21 #NAME?123 1.22 #NAME?124 1.23 #NAME?125 1.24 #NAME?126 1.25 #NAME?127 1.26 #NAME?128 1.27 #NAME?129 1.28 #NAME?130 1.29 #NAME?131 1.3 #NAME?132 1.31 #NAME?133 1.32 #NAME?134 1.33 #NAME?135 1.34 #NAME?136 1.35 #NAME?137 1.36 #NAME?138 1.37 #NAME?

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239 2.38 #NAME?240 2.39 #NAME?241 2.4 #NAME?242 2.41 #NAME?243 2.42 #NAME?244 2.43 #NAME?245 2.44 #NAME?246 2.45 #NAME?247 2.46 #NAME?248 2.47 #NAME?249 2.48 #NAME?250 2.49 #NAME?251 2.5 #NAME?252 2.51 #NAME?253 2.52 #NAME?254 2.53 #NAME?255 2.54 #NAME?256 2.55 #NAME?257 2.56 #NAME?258 2.57 #NAME?259 2.58 #NAME?260 2.59 #NAME?261 2.6 #NAME?262 2.61 #NAME?263 2.62 #NAME?264 2.63 #NAME?265 2.64 #NAME?266 2.65 #NAME?267 2.66 #NAME?268 2.67 #NAME?269 2.68 #NAME?270 2.69 #NAME?271 2.7 #NAME?272 2.71 #NAME?273 2.72 #NAME?274 2.73 #NAME?275 2.74 #NAME?276 2.75 #NAME?277 2.76 #NAME?278 2.77 #NAME?279 2.78 #NAME?280 2.79 #NAME?281 2.8 #NAME?282 2.81 #NAME?283 2.82 #NAME?284 2.83 #NAME?285 2.84 #NAME?286 2.85 #NAME?287 2.86 #NAME?288 2.87 #NAME?

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289 2.88 #NAME?290 2.89 #NAME?291 2.9 #NAME?292 2.91 #NAME?293 2.92 #NAME?294 2.93 #NAME?295 2.94 #NAME?296 2.95 #NAME?297 2.96 #NAME?298 2.97 #NAME?299 2.98 #NAME?300 2.99 #NAME?301 3 #NAME?302 3.01 #NAME?303 3.02 #NAME?304 3.03 #NAME?305 3.04 #NAME?306 3.05 #NAME?307 3.06 #NAME?308 3.07 #NAME?309 3.08 #NAME?310 3.09 #NAME?311 3.1 #NAME?312 3.11 #NAME?313 3.12 #NAME?314 3.13 #NAME?315 3.14 #NAME?316 3.15 #NAME?317 3.16 #NAME?318 3.17 #NAME?319 3.18 #NAME?320 3.19 #NAME?321 3.2 #NAME?322 3.21 #NAME?323 3.22 #NAME?324 3.23 #NAME?325 3.24 #NAME?326 3.25 #NAME?327 3.26 #NAME?328 3.27 #NAME?329 3.28 #NAME?330 3.29 #NAME?331 3.3 #NAME?332 3.31 #NAME?333 3.32 #NAME?334 3.33 #NAME?335 3.34 #NAME?336 3.35 #NAME?337 3.36 #NAME?338 3.37 #NAME?

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Triangular intensidad Áreas I media mm/hr Duración de tormentaConcepcion 68.5366 42,771,036.00 58.8 2.65Joya 56.0505Pesacados 68.1853Tembladeras 66.038Briones 41.609

159 min

Chow de = tc int mm/h P mm N 0.08 380.70893645 31.73 490.166666667 293.97553069 49.00 491.333333333 92.119176333 122.83 491.666666667 79.743067686 132.91 49

2 70.778003661 141.56 492.333333333 63.936724332 149.19 49

2.65 58.76114351 155.72 493 54.099101763 162.30 49

3.333333333 50.41800326 168.06 493.666666667 47.295437541 173.42 49

4 44.607561845 178.43 494.333333333 42.265499227 183.15 494.666666667 40.203280642 187.62 49

5 38.371270831 191.86 495.333333333 36.731105064 195.90 495.666666667 35.252621472 199.76 49

6 33.911876004 203.47 496.333333333 32.689560427 207.03 496.666666667 31.569727162 210.46 49

7 30.539476269 213.78 497.333333333 29.587803769 216.98 49

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P(mm) N Valor para decidir Pe (mm)155.8 88.4 149.1339366516 121.9

Valor de refPe mm C Sc L-21.1477247 1.80 0.06 0.0414 24.506-3.87754761 0.10 0.00 0.0414 24.50669.9520991 14.60 0.12 0.0414 24.50680.0316434 18.60 0.14 0.0414 24.50688.6825379 22.30 0.16 0.0414 24.50696.3122207 25.70 0.17 0.0414 24.506102.843561 28.80 0.18 0.0414 24.506109.423836 32.00 0.20 0.0414 24.506115.186541 35.00 0.21 0.0414 24.506120.543135 37.80 0.22 0.0414 24.506125.556778 40.40 0.23 0.0414 24.506130.277027 43.00 0.23 0.0414 24.506

134.74184 45.50 0.24 0.0414 24.506138.982885 47.90 0.25 0.0414 24.506143.025758 50.20 0.26 0.0414 24.506146.891386 52.50 0.26 0.0414 24.506150.597787 54.70 0.27 0.0414 24.506154.160413 56.80 0.27 0.0414 24.506157.591378 58.90 0.28 0.0414 24.506160.902864 60.90 0.28 0.0414 24.506164.103758 62.90 0.29 0.0414 24.506

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Ve tc (mins) tr Q max5,213,789.29 9540 9540 546.518793

de/tl Z Qdp2.0454418911 0.04074099 0.0245267 6.299228532.0454418911 0.08148199 0.06458418 0.460757012.0454418911 0.65185588 0.47726141 62.13910682.0454418911 0.81481986 0.5634495 74.76765462.0454418911 0.97778383 0.64093207 84.97309472.0454418911 1.1407478 0.71130752 93.15545822.0454418911 1.29556357 0.77267301 99.84743752.0454418911 1.46667574 0.8352388 105.9336532.0454418911 1.62963971 0.89043025 111.1690182.0454418911 1.79260368 0.94191922 115.4592132.0454418911 1.95556765 0.99017138 118.9121712.0454418911 2.11853162 1 117.9888382.0454418911 2.2814956 1 115.9308932.0454418911 2.44445957 1 113.9095342.0454418911 2.60742354 1 111.9179012.0454418911 2.77038751 1 110.1605772.0454418911 2.93335148 1 108.4003392.0454418911 3.09631545 1 106.6376472.0454418911 3.25927942 1 105.0512252.0454418911 3.42224339 1 103.4460282.0454418911 3.58520737 1 101.986758

Tl Tiempo de retraso

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