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TRANSCRIPT
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*li~~~!lE~=.~~zM.t~%ijT~Jfl~ffi~oMtm~*liti~*'l-=.~~
B':J~~im. (Soybean crop production function) QX;m:ffl~E#1iZJJIlE!Jl~
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m ~ 441,007\ 1 I 441'0071
1 t ;
!I m! 774 256! 26 ! 29,779 2 .6330 1. 931~', I I' I '
N 477,58d 2 238, 790j 21.1132"*1 3.369
P 100,823 2 I 50,4121 4.4573* I 3.3690:
K 26,7861 2 13,3931
1. 1842! 3.369°1
NxP 27,048\ 4 6,7621 0.5979 Ii 2.7426,
NxK I 35,885: 4 I 8,971! 0.7932 2.7426
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(1) =i7CffiJltY=a+bN+CN2+dp+ ep2 ••••••••••••••••••••••••••••••••••••••••••••• (2.1)
(2) =;jzf9.!mf(Y =a+bN+CYN +dp+eyp (2.2)
(3) m-g.~M
Y=a+bN+CN2+dp+eyp (2.3)
Y=a+bN+CYN -I-dp-l-ep'' (2.4)
J:ffijeYAtm*t:E$J.lU(J'~jN.P~~~. , {~;~~1f~~!IWJ~M 0 tm*1f~JJl:q{~,
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P.JTQ],~e-g.:!E~!mtt~ , :StlltfRJ~tr':i~fi~~~3lt1±l ' ~~Deviation from
Model ~'*5E~ , j!5Ejft~1f~~M:t0:!E~W;jf( 0
.l:j:r#f'Ftf:j:!E~[ll;jtt ' .R~1€ N.P =~*~~HVJIZSI* , ~RJ~~~Wi~~3ltl±ltm-F (2.5) ~~ (2.8) i~ , ~~R*-!! Deviation from Model) ~~5E
5@l±ljft~1f~"P:.M:~:!E~~!IllC0
.l:j:r#f'F : Y=686.03+6.51N-O.046N2+0.6p-o".037p 2
(R=O.6190) (2.5)
Y=697.58-0. 038N+ 26,449y'N + 4, 348p- 21, 043yp
(R=0.5700) (2.6)
Y =723. 71+ I, 557N+ O. 029N2+0,426p+5,447yp(R=O.5304) (2.7)
Y =654. 99-5.41N+22.86Y'N+ 1. 08p+(). 15p2
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(R=0.4728) (2.8)
.J:l\7 :i-f'f*.ft.!i..!.~tt~~~:;t. Deviation ofrornModel ~;t*-
m~ (Replication)
P!!:l1I1 (Treatment)
441,0071 1 I·
I774,25626
41iI
2218,902.4 0.7871 1.9681iI
1.1409 1. 9681
1.9681.
1.96811.7553'IIiI
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I
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1
11'310'1I I
22'19,852.1'I
4i
2212,903.21,
4 I
115'~'14
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424,6651
349, 5911
337,508
578,403
I195,8531
I490,386
1
283,8701
,
iI 436,747
IIi 294,049126
1 i11,509,312[53
(2.5) :et~~t
(Due to regreSSiOn)of equation 2.5
~~
(Devia t ion from)Model
(2.6) Jt~~
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~ if.: (Error)
"!i. 2. 7 ~.i!* ~f'F~~!$itt~~~z Deviation from Model *5E'iZ ' EI3s."!i.~~'~m~tt*~~5%zT' F~~~~~,m~*~A~~!$i.*
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WE? ~ Deviation from model*~~ , {J1Qt (2.5) JtI'B~:U~1$~+0 RZ 'gp;l!!115-fi~~*8 (2.5) J:t1'B~~l't:1F1([1Il*'(ZgJlt (2.5) Jt~.*~f'I:~~
1'f~"!i.ttl'B~~ffilto
i'il/j1itxf'l:l'B~~ffilt ' ~ jf. N.P. K .=.~~~~lb~~ , ·ftLi::;;:&Jt.%ti5it~o
T:
-8-
Y=727.42+6.35N-6.94p+1O.13K+62.70y N+69.47y p-0.29K2(R=0.7952) (2.9)
Y =861.42+0.32N+ 1. 31p+3. 92K+0.02N2+0.01p2-0.04K2
(R=0.6527) (2.10)
Y=861.64+3.45N+2.86p-1.57K-13.29y N'-6.52y P+23.42V K(R=0.6510) (2.11)
~ 2.8 i!J,ift~k.1'f.:k.3..1..A.~tt..frit~~Deviation fromModel MJ:~~
~ (5J ILp1JIDI@m~l~ 1JIT 15 % l!l!fl fRB Ffj
:m:~ (Replication)I
7.234 11
I
~W (Treatment) 522,209 26
I(2. 9) it@!~ff(Due to regre- 330,290 6 I
ssion of equation 2.9) !
~~ (Deviation 191,919 20 9,596 1.0911 1.9898from model)
(2.10) it@!~ 322,339 6
~~ 199,870 20 9,994 1. 13631 1.98
(2.11) it9fJ~ 322.330 6
~~ 199,879 20 9, 9951 1.1364 1.9898
~ :&: (Error) 228.69 26
~~.[f[Z;J (Total) I 758,121 53 8,795
1~t$tjd'l=1::.~[1j;j:f'(itai8~zDeviation from Model ~5E~tm~ 2.8 BY~,li~~~*~~5%zT'F{j~~~~~~*~A1::.~~:f'(*~~~~~
~l:fFJiH~/J" 0 mJS'!j , ~aJa~*0(2.9)itEt:r Ffl~~+ 't&i'iliPif'x1'F0 (2.9):ct~~J(,1ftt1t~B-:j~~im~ 0
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- --* tE 5%ml1Hi7.k~ 0
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(2) ~~HfF: Y=727.47-6.35N-6.94p+10.13K+62.70y N+ 69.47y p-0.29K3 (3.2)
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NP
0 20 40 60 80
0 686.03 797.83 872.83 911.03 912.43
3 687.50 799.30 874.30 912.50 913.90
6 688.30 800.10 875.10 913.30 914.70
9 688.43 800.23 875.23 913.43 914.83
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Jl.IJRJ9nN ti*E.~litBf1:m~~ P tB 17ft?i 0
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:fItt~ 0 J!t~~-=:jjJtft;jtl±l 0 item N=70. 76 J.fr. P =8.11 -01T~1i!Ii~m14
*E.~lnp~ N. P ;;r:1m*ll.~1i!IiFIUttftm~~)i¥lJttl'o1tj~il:i¥I*JI:~ 0
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EP _ 6.Y / 6 X .,,~ EP-~ dY-Y X - -Y"dX
EP=~~5¥M:1*.
6Y=~:Ii!j'~fflSffi
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:tm P = 0 ~' .llIJ~;;r:1m N Mlimll:z~~~~M:1*lt:tm* 3.2 HlTift ' 1i~~~~M:~lt1L~ii'iJ1fJ't!j':ttt~tt:J~~ , s1EJl:W/Nj~ 1 , 'i'~il)im:~z N 1i!Iiffl
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N Y I N/Y I ~~ =6.51-0.092N I EP I VIi
20 797.83 0.0251 4.67 0.1172
40 872.83 0.0458 7.83 0.1296
60 911.03 0.0659 0.99 0.0652
70.76 915.53 0.0773 0 0 ii:1Ul:lEi l!'Ji
80 912.43 0.0877 -0.85 -0.0745
100 877.03 0.1140 -2.69 -0.3067
;5' N= 0 ~:fr;;r:1OJ P tllJ!JfHiz~~~Jfl-M:f*'1lt-&RJ0.:JHI:i , :&.D~ 3.3 mlf- '
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-0.14
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I dYPlY I dP =0.6-0.074PY
,
I 688.331i
687.901 0.0174,
2
6
4
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10
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687.08 0.00291 0.45
::: ~:~~ ~.~:8.11 688.50, O.Ol1J 0
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879.94952.24966.54922.84
W3006
880.74953.04967.34923.64
W3086
862.W934.00948.70905.00
W1222
727.47799.77814.07770.37
8~7 59
o
, .10 W 949.89 1084.52 1103.16 1102.36
20 964.19 1098.82 1117.46 1116.6630 920.49 I 1055.12 1073.76 i--=-072~0 899.20 1033.83 W52.47 1051.67
20 10 971.50 1106.13 1124.77 1123.9720 985.80 1120.43 1139.07 1138.2730 942.W 1076.73 1095.37 1094.57
0 899.27 I 1033.90 W52.54 1051.74
30 10 971.57 1106.20 1124.84 1124.04
I20 985.87 1120.50 1139.14 1]38.3430 942.17 1076.80
!1095.44 1094.64
o102030 i
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N 1 Y \ N/Y \ ~= -6.35+31.35IvN I EP I fill ?if(
I 1862.101
0.01161
880.74i 0.0227
24.37 882.22 0.0276
879.941 0.0341I
10
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P I Y PlY I ~~ = -6.94+34.741VI> I EPI
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20 899.20 0.02221
0.83 0.0184
25.06 901.47 00007~ 0.00 0.0000 ~Ib~:jl@ljl!i
30 899.27 0.03 -0.59 1- 0.01971
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K I Y I K/Y I dY EP I~ ?if(dK =1O.13-0.58K
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~'liT~ 0 iii 4.6 * P=lO 0rrzf!f' Pii1J[]Jl.IJ~:i:/)),fi1;~J.:7T'~m'! 10 0JT{&~'IiJ.:7t-~-Jlt:jg~:i:1,J; P=25 iID{&~'liTI~ 0 .=:~ P tYg~~HB~Z iElIJli't~{~*, Y=f (O.P.O) ~ Y=f (10. P.O) tY:Jm:w.*~mr~~ Y=f(O.P.l0)
®i8~ , Mc~NJ!~f0~~~K~~~* 0 ~~fil4. 7 J.:'=:~Kf0~~HB~-W[ZSl
KJ!~J't:J*1J!liID~t~i!tY:JJ.:7l~-Jlt:jg.~:i:1,J; K=17 1&X;'a;i!f0T~ 0 11l?~'=:
~~~HB~f0iE~i't~~~z,~Q(~~P~~f0~~*~NJ!~,~Q(jg~~
fF'=:J!~f0*.E~.HB~~~Z,mQ(p~~~~.*,N~~z'-JIt:{&.K~
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- 29-
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- .. .!lB11'iJQ(1!!t~N~~Jre#lI;!f, Jl.IJ~0~~1i!liJtHi:NE:1i!lim 24 01T' pm25 01T2kKm 17 01T , ;It,-!:~jl'FiJQ(3i$Ij~0~ 1141.89 01T 0 tm*1ii!t~~*
N20.% , 3&l~~~i1i 1896~ P20 S 2ki({E:i!!Ji1i1f 60%1'8 K20 lI;!f, tJf.z, Jl.IJ~
0~'§:1i!lim1ii!ti~U:l! 12001T , 3&l~D~ 138.8 01r2k~HE:i!!J 28.3 0Ff 0=.. fto1i~zK~~, mJ;ltf!l!1'iJQ(1!!t~N~~lI;!f , jJ.IJ1ij.0~1i!lim:i:' N=24.P=25 tJf-g.1ii!t~~m 1200Ff2k3&l~D£l5 138.8 0Ff 0
~ .. tm.ZN•• 'mJ;ltf!l!~#1'iJQ(.m~M~'M~0~1i!lim.p=~,
K=17 tJfif3&l~H'i~~ 138.8 0Ff2ki({E:i!!J 28.3 0JT 0
~ ..tm~z P~~mJ;lt{fuJre#RJQ(.~N~M~ , Jl.1J~0~1i!limli N=24,K=17 tJfif1ii!t~~ 1200J1)J<....~{E:i!!J 28.3 0Ff 0
-30-
,-.., .., ,, .., ,, ,, ,,I - ----- N=O. p=.
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~~z' N~~m:li~P~aft'f' Bt~~.~f.r~Im.fj~P , Jllj&:'f.r~lmtiJ1j
~Nfit(, #.f~~.fit(f\;A.*li~~m;j.:ttRJ~;itl:l:l P~~&:I*_tl.~~!lB~ : ~oTJ:I:;:
*li~~m;j. : Y=f (N.P)N~P~~~~a~p N=aP~P~~~~~~~affl~T~*li~~!lB~'RJmx=~~~~
Y=f (aP.P)W(;Y=f (P)
1mlH!' N~~~*li~~!lB~ Y=f (N) 9l'RJ*~ 0
- 31-
E!rkEt£mlm{!(RfQ{*~:='JJ:*~%:l:t~ntlimil:tr'~:k_~t£mE!ll~' :klllil 4.8
~f;Ylj, ~NRPtJ'~j~ei5-l:t~~1: 1 ~,'lltlj;£Efi%';iij Nap J:~I±I N=K J'B-Wi*~ OG, l;( OG fFfi%';[ti Nap ® ~iil[z(s1ID OEFG , miM:z(siii~t£mlm:fI:r5(J'B
LL EllJ~ , J:J,jJft~N ~ Pft:\1rl:t~~ 1: 1 ~~:kEt£~E!Il~ 0 fI1lJmfL~Q{ Oy
*HrfFil§iili:~~lm Nap ®ljSlm~t£~lmJ'B:X~ , om;}f:J\'.:'ln~fI1l N. P !81rl:t~
tft[mliT(t:i:kE~~EI!I~ 0
*J:~~~~~I±I.~WfFN~PJJ:*:tE~fI1l~1rl:t~TJ'B:k~t£.E!Il~~
I/io'lI 4.9 lklm 4.10 0 rnlil 4.9 RJQ{~Hli' 1!i; N=30 Umr~81rl:t~ P=N B"'.i:k.Et£.E!Il~~~jj~~{tB=~, RP P=O.1N ~g~ , P=O.5N ~gT 0 )1§'ij~
N=30 ~, P=N ~~,tfJ:7f¥ N=40 ~RP~;~TI(~' mil;( P=O.lN ~rzffii
flf.Hjt~, 13.NAA300JTz1ffiiJ.{i(~~~~~{tB-=~0 mQ{N~*lUUIlj>
~ 30 0ff~' l;( P=N ~~fl , {fU:iN~,*.It~~30 -0}T~ltljQ{ P=O.lN~~J!:-fl o !ill 4.10 *~lft N=P, N=5P lk N=10P TJ'B:klit£.EI!I~' Jt~~i!t~OOm, f!p N=10P :li~~' N=5P :1fJiS~ , N=P :1fJiST 0 wrl;(1fEtIili
-32 ~
-----/V"/DP
6
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--N=,p
r
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'. \,'!J \,. \
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t • \
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: '----- I'=,v
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N{~/"")
~4.qi,~'tr.~t:tfl1lfl~.f4tJlft~kit i:Af1~
BE~ifrj'J:::4cli" P+~ 80JT~' NW-P tt:T!E~.Jt~Q( N= lOP ~1I't~ 0tm*,~t£;BE#1gdi7tml't:J~' .QIJJ2.t N=5P ~~Ji~ 0
~tr~~ttfxf'F N.P. K :=:~~tE~fP1!E~.Jt~»lIimtTtt:T~~IffH~' 7IJ~T
OO:=:l1rpo iii 4.11 fflDt K=O~, Bi31t~P.N-=~~tE~fP1!El~Jt¥1iilim.l:
Ttt:T~i1l'i:rlH~ 0 N~~#lH~~j)'ltt' .Qtl P=1.5N ~~4i3i:~{if!-=~~[*i'P=N~,,*rp , P=O.5N *,,*T ' ffffJ2.t P. N -=~~tE~fP1ftl.~.Jt¥1iilimtTfJ'g~~
Etil~Q( P=1.5N ~{ti~~0 iii 4.12 .QIJl!'ifk: P=O ~J2.t1m K. N -=~~tE~
fP1~El~.Jt¥1iilimtTtt:T:1E~iI!I~ 0K=1.5N ~tE N=13 J2.t1~U!t~tI1~{if!-=~'
{!'l.,l'!HI~~1&.Qtl~~tt:TT,~ 0 K=N ~tE N=20 ~~¥tlm:jg~ , Jt1HI~~gp~~Ti\{f o:lit N=13 ~ 22 fb~Q( K=N ~ftirl~0N=22 Q{1&!'!PQ{ K=O.5 ~
mr~' ~3I~1I'tjg~t~~ K=N ~1§~1Il€~' 1tf.. N=13 Q{1&~ K. N -=~
~tE~fP1!E~.Jt~1iilimtTtt:T~~iI!I~Q( K=N ~~m:f.I01iI4.13 ~il- N=OIl'if' K.P-=~~tE~fP1~El~.Jt¥»lIimtT(jS·~~I1!I~ 0K=1.5P ~ tE P=14 Q{frj,,*~(if!-=~ZJ:: , {§'~3I~~1&HP~~T,~ , ffif K=P ~.QIJBZffif~~m:jg~,ffffJ2.tBE*,1lt.l:a-:I~3I P·=14 ~;l.IJI2.( K=P ~~1I'tf.f~01l't1&!il4.14~1~1tfx
f'FN.P~K:=:~~tEl!'ifk:.Jt~»lIim.Ttt:T*E~~I1!I~'.Jt~~~:1E~I1!I~tt:T
~*, N=K=P :fiffff~~¥tl~jg~.tE:=:~*,,*.jg0 ~§Z ' tEfP1-~.
T ' ;ltiJr~JlEfl~.~m:j)' , 1tf..~m:1fflJ' 2N=3K=P ~~;j{1fflJ0
-33 -
". ..
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f
,,'D
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---"~N
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. "1'.>1, 1 /. /
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K.:p
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r
a
1i1.tJI~~rN:U~~fiJflfi1:Kfifi111~ (t<.o)
Yc"'lIA~)
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-34-
1:W~urnu~tt:rHEt't~!I!~1E~~1t~D1!m.Ttt:r*.E~itZau~r,u.§ , 1lik~m~<fujttt. (Physical quantity) rp~mHfiiE. 0 ~i§z' ~Pik:;}li~rm~E!l5
1t~~fl*.EitZ.z~V~1t~'~*~HEt't!l!~~j(liz~~~~1ERtt:r~'
JlIJ1:jffj~.pg.tt:rlOC.ftf~E!iflt~:ML~- ~RTQ(~1~lOC*tt:r;flJiM 0 mJ~ [ij] J!:[;J\t*5fiUiM rp~
m~~T-jjfrnu1k.o
iW~~!iUff~1k. ' ~mmliHEiB~!I!~~*.{EitZ ' ~mli!l!~1E-f~~ii:
.au~1:tt:r:;}linif~m.~RTm*~itZ~rmtt:ritZ.'iliQ(~linif~m.~~
~? ~i§z ' f1P~li*Jiif~m.~nJZ*~lOC~? J!tf1P~*M?t:#Ttt:rm,L.' 0
~fmrp~m~7}:#TtR1Jl~rnum*lOC~HE#nJZ*J.tif1Pikij(~1E~~nJZ*~~~ii:
.au~~W~J.ti'.~J!t~WmWRT.pg.••au~~x~n~~ ~e)~••au~1:tt:ri1~mf1P~*:;}~itZ.Tit1!:l;HE#nJZ*ll!ti 0 ~Q(N;••au~~~*~l%1lJi
~~~~~tt:r~~,~~~~~~~itZm~®au~o
~1Jl1:~tt:r[ij]~'••aB~1::;}~~~:
MRS= ~~ = ~: (f1P~~nJZ*.~~itZ:i:au~z~~~~)
1:l:\; MRS ~ N. P =!I!~tt:rj§~ft~~, Pp ~P~~z1Ji~' PN ~N
~~z1Ji* 0 1:J:t~RT,*~~Q( N. P =!I!~fmZUz j§~~itZ:iJ£t*Z ' ~TJ:t:
dYdN = dN • dY = dP = MPPp= Pp (5 1)dp dY dP dY MPPN PN .
dN
:W; dP =MPPN= PN (5 2)lli ~& & .
E!l (3.3) (3.4) ». (5.2) J:tRTQ(*tW..t:j:ttt:rit1!:l;HE#nJZ*~:W;••au.~T:
dE> 6.51-0.092N PNdN = O.6-0.074P Pp =a
~t:j:t a= ~: '{tf'Jr1:J:tRT~.Jl{au~~T:
N=70.6-a(6.522-0.804P) (5.3)
1:l:\;Z ~: ~~~ 2, 81k.14 :5tZllftA. J JlIJRT*~ z !t1Ji(tj••au.~1il
5.1 , lil1:®J.ti~f1P:fflW~ (Ridge line) '1EJ!tW.Rtt:r$l3I111J~1fl\'!1iA':5t:#T
- 35-
4"
~ ::&!ooJ?,
Jl, :=8-1j.
I !"N ::/4.."" ~
~~I iilJ'~~ftflir~·1..N f.f:l(>f\1~ ~ t~·
tt:1~ft ' 'i"1li~./:t (~; ) IJ'~' .~H!J~:t:ttJ:~ , ffiHJil.N~;fIr~jg'if!;i:~~ 0~~~N~~tt:1tt:11lim~ti~~~,~~~mN~~~~~~U'~Z'~*P~
~tt:11lim;f§ti~~~' 1li~./:t:t:*, .~H!J~JlU;f.\tt:t1~, ~~~~mp~~~
~~~J' ~Mf ~; =8 7J.14~, JlU N. P =~~tE=1'FPJ1Jm1:tTm:~JJE*,{1ilG*tt:J~Jl.g.1llamll7JJ~~ 5.10
~ 5.1 f:v J..-f'f N. P ..::.~;t. ~~Jiil{l#ttt. rJi{~JJe#A.$.~
1Jl~~m... (¥tiL: 0Fi'/0[jf)
N.P 1lim1:t ( ;: ) = 8I
N.P 1Jltfrlt ( ~: ) =14i'i 11y N I P ·N I P
750 I - I - 10.07 2.72I
3.64800 i 20.35 0.25 20.13I
850 33.45 1.85 32.25 4.69
900 50.74 4.92 50.47 6.31
-36-
El:I:1i 5.1 iiJ~ , 1ti§~1la':;:ij-1Jn' fili'iffiftJ N. P -=~*fr~1ilHfll:-&:li1JlJ' Rim~lt ( ~: ) El:I 8 fj3'i 14 +~, :1i~N~~I't-J1JUtH§fl:fikfj1JlJ' :\JtH::P ~~B'J
m*1'§fl:fik~Y 0 mJ2(1:~IPJ-j£iltm y =800 ~, Jl.IJm·~B':J·N~~El:I20.35 ~
~ 20.13 -0.IT ' rm P ~~Jl.IJEl:I 0.25 ii3'i 3.64 -0ff 0
~~~i'i1Ii~f*f1:ftIa1ttJlE*'i-p.x;*~iiJEl:I (3.5) .. (3.6) .. (3.7) J).. (5.1)
~?1-2iU3ltl:!itmT:
PI"(1) N. P -=~~~·~1ttJlE*,1-p.x;;<f;.tlB~: (K=O .. p;-=a1)
N=0.041P-a1(0.09P-O.45V P +;la)(0.049P-0,49V P )+1.228 (5.4)
(2) K. N .::~~I't-.i~1ttJlE#p.x;*I!tJ~m; (P=O, ~: =aa)
54.052K=17.46+aa (10.948- V N-) (5.5)
(8) P. K .::~~(t:J~1ttJlE#p'x;*I!tJ~:m; (N=O. -~: =aa)
59.897K=17.46+aa (11.966- V P ) (5.6)
~J::ffi.:::~?1-2iU1JlJJ2(fiIM:m1il5.2, II 5.3 Rill 5.4 0 El:I1I 5.2 R]"Q{'l[l:!i
N. P .::~~zm~ltt\:li1JlJ ' Jl.IJ.J.iHII~t\fi:ti~' i'& PI': = 1. OOPp ft-J.J.iHII
~B~j[f)jj(!li 0 IiIl 5.3 *WiJ.iI!tJ~MN. K -=~~m*lt H'J:li1JlJffijfi::ti~ , 11
N(IIj!IA}
A
IIII
I
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111~
- 37-
&>LL_~_........ ........_.--:_........_
m:"'.5 ~tt~V\~fA:t1llJ1l.~ K.N 1".:tl.U~·f~~t CPs=: &»
~__,,,,,?.sc~
~ ?.&5~
cl..--L_..L- -=__.L..-__........__
/'D
ffl-5.4 ~1~~~JiH~;1,( K. P~~7*1\'13f_~ (N '"' a)
-38-
5.4 mift ' MH!f!!I~$)!il P. K -=J!~iWffr!t(f:jti:IJ!lii'Ot\ttti~, PK = 1. OOPp
-f!!I~'~ilift~re~p~'~iftK.P-=J!~ZiWffr~~m~'illPti~:I:~
ffl~K~*o
tm~jl!l*i*~.li +~~.li)j E#=fOOmtXI'BE#rJJjjjiWffr ' Jifti:$:~ (-fr N20%) ~0JT3.75G' ~7iIf~~ (-fr P18%) ~0JT1.75G' ~1t~(-frK60%)
~0JT 35G ° tmPfif~ N. P. K =J!~l'r':JJlE#iWffrJl.IJ~0JTN~~~ 18.55G 'P~~~ 9.4 5G' K ~~~ 5 5G ° J!t~E#.=.J!~l'r':ifWffr ' *~l'r':JJfiH!f!!I~tm
N. p -=J!~l'8tfl~f!!I~' ~P[iJ 5.2 m5ftl'r':J PK=2.00Pp f!!If& oK. N -=J!~flP
~Il 5.3 miftl'B PK=O.27PN f!!I~ ° K. P -=~~Jl.rJ~JrillI5.4 m/~1'8 PK=O.53Pp f!!I~o
III 5.2" Iill 5.3 Ik!iJ 5.4 J::fr~~f!!I~~l&m:.a~r'it~.Ji~ , tm1il5.2 mjftflP£(5ft~~~r~~:l:m® N. P -=~~f(:l:l'r':.it;l!.if.Rfr-~ii'OB ° ~gt~t'r1!~
~~~~rmf(l'r':;~~Z- °-8~.JlE~.J:m~~~~••ffl:l:' :tm.~••-=m*.BN=p~
1Ji!UTI~.~, Jl.1J-=~~.ffl:l:l¥J·;fJ1ifflP~1ill 5.2 J:~ OA ~ , J!t~tm*iJffr~
~;=2~,m~-=~~-=~~~.ffl:l:l'BnifJ:frm*~~~,~~~m~~~~~ii'O~~~~.nOOI'B-*~~,mBEfll'B~if~.~~~.iWffr~~'
:wJ~.EnX;*~iU~11f' ~J!t~11fEflnX;*f!!I~$RJBJUj.M:~Nil't:J~E#!8ifIt.rt!I~ (Optimum fertilizer ratio curve) °
J:mB~mili TM~f!!I~J:l¥J":fr~fi;;~-=~~~11f~EflnX;*I'B;fJ1if' jffiJI~
*;j'IJifjl'B;fJ1if&:'~~~f!!I*Jj[J: ' *mflP~*t/:i:fr~iWffr1j1f~Tzll~;j'Ij~~I'B~E
J!61-tIIllffl:l: o
~:7(;j'ljifjl'B~1t&:'~ii~l&1£:~~ii~nX;*' tm PN" Pr 7}ZU~NJ!~~*-ftl¥J"fWffr' N~Y?tZljft~NJ!~.ffl:l:~*E~:I: ' JUtOOZIj~iJ~{lH!1t~D.
N~D.Y , Jl.1J;jtIU1f*tml'~ :Py (D.Y) = PN (D.N)
M~~= ~:EE.a~E*'I·J!~~~:I:~~?HjIj~, ttx.NiD. Y ~D.N~+~RJfflT:rt~ift 0
dY PNdN = P y
J::rt~Mf*:I:t$RJEE:Jlt~ni*:IJ!lBllilJ)jz ' ~ 7t fi;;£(;j'ljifj, Jl.IJ :7t=P y • Y-PN' N
:@(; 7t=P y • f(N)-PN • N (~Y~N~OOf()
~~;j'ljifjll*' Jl.IHeLl::rtt.ti:N~?ts1t~z~~~flPRJ :
- 39-
dn- _p df(N) P-OdN- y'~- N-
+h<.§ • df(N) _ dY PNlV\.tif· <IN- dN =p-;
J:it:W'~;if-N~~(Bj!~1o.~:fJ~jj~nE#7d'liM:mlt (~; )~, ilU~1f;rrJo
~~~~~~~J:~~~~(B~~'W~::k~~~(B~~~~~#::kEiM:mlt'tb.RJJ:?,(Jt*I±l#4~~~~*'~7cR1:tzWl~ , f&{lZjSffft!ttJffiiJ!1o.~~~mWz~
Jl.p~a::k~IJ~~fi!l 3.50
Y(~/""J
""l-~Htf1rtflt(}~/P1
"F
1N"tm~*'l·~~~wHi.J:?,(J:~' a:k~Ij~Jb~1fil!lZU~~a::k~Ij~f.6Z*J1.it, ~
m N. P -=~~~10.~7d'l , Jl.1J~;rrJ~ (n') "tm-r :n-=Py • Y -PN' N-Pp· P
~-fre n- :ffla::k' Jl.lj~~ N. P fl;jjih~7tZ :an- BYaN =Py • 8N-PN= 0
~ ay = PI".Ill« aN P y
an- ayap =Py • ap -Pp=Q
~ 8Y_= P p
ap Py
tb.~a::k;rrlll'AI5RJEE1fil!lZU~~(B~::k;rrJlI'AJb*1~ , l:-=it:"tmmll* ' mm
~~ = ~: Jl.pmfjJHIl::k;rrJlI'A~W'~tJi}j{~~l: 0
-40 -
~~~n~~~*~~*z~~~~~~T:
ay P~aN =6.51-0.092N=py-=yN
~~ = 0.6 -0.074P= ~; =yp
m5ftJ:-=:a: ' RJ1~ :N=70.76-10.87TN (5.7)
P=8.11-13.51yp (5.8)
J:jffj-=:a:RJm1J:~1't1TN 1!z yP 11t{-\:.i\..' Il.D~*~ff::flPJ(t:J'JlE#:klifJl~lt
zT' ~::k*rJ~l!ti(t:J~~:&!Iim:i: 0 ~$: 5.2 Il.D~M!ItI~J,; PN=8Pp ~, ff::f
lPJJlEfl:kEfJl~ltr'~:k~~~~~p-=~~~:&!Iim:i:o
:k_a1Jt~PN=18.55C/0Jr Pp=2.315C/0Jf PN/Pp=8
ffE7tltl~*·1N~.E'····IP~.••••.Py ~E1Jt~N~m. iEfJl~ p~m:i: E~iI: -mt ?if{
Y(0ff/(5C/0ff) (rN=P!")(0n-j0~)1 (TP=PP) 1(0JT/0~10~)Py P y
7.74 2.39 44.28 0.298 4.08 887.14 :kJ1.~1!ffJl~
8.20 2.26 46.19 0.282 4.30 890.49:kE!&~~fJl~
8.35 2.22 46.63 0.272 4.37 891.49 ~ZP:!$)f.~
8.82 2.10I
47.93 0.262 4.57 894.34~i%1J~I t
$: 5.2 *7'c'2f.~ (P y ) {,HRiJl~if!t~il&H1±.ift~1L+-=1f..Il~m~ (B~
)j:i;:E~:ilk1Jf&Z~'IJ!1i't~*'!-' N. P -=~~fJl~Jl.IJ~~1Jtfr 0 N ~~(B~~i1l
:b1!!miHl: rN=2.39 ~::!8 44.78 0Jf' &" rN ~3§. 2.26 ~,N=46.190JT'
ITJ]fi'!!, p~~s0·l&~;EJW:trffim:l:tt n=0.298 ~J,; 4.08 0fr ' &" n~?t 0.282
~ , P =4.30 0F1' , -RJnJl&7,(*iJ~~I't:J N. P -=~~(fj'~nUUlaJlE;j6j-:kR1J~lt
iffiJE' &"1Jlf<:k~~mll:j,', EZz' 1.~lt"J,~~m.l:gti'@1Jll0 jzgJlt' tfEilltl(B7(.~~ it3)'frMIJlE*'t:kR1J:ff\-lt~y ffij :l'ff1Jll 0
rmfi'!! ' ~j~JY]~~*IJ~J!~63FFiJw:J:?t*~ :P!"N=982.82/(rN+6.35)2 (rN=p~-) (5.9)
P=1206.87/(Tp+6.94)2 (TP= ~;) · · ·.. · · · ..· ..· .. ·.. ·(5.10)
K=17.46-1. 72rK (YK= ~; ) (5.11)
J:Jm=::a:*Jltf1fE:Z TN' yp 1!z rdlt{-\:.i\..' J}~*~ff::flPJl't:JJlEfl:kR1Jt
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(x/0fT)TN I N I Tp I p I l"x I K I;f{)
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7.94 2.33 13.04 1.18 18.30 0.63 16.38 1129.46 !&fiffJj1Jt~
8.16 2.27 13.23 1.15 18.44 0.61 16.41 1130.28 &¥ZJS:l@1Jt~
8.67 2.13 13.47 1.08 18.76 0.58 16.46 1131.44 iI't~1lf~
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11r1' :tmJ2till:~:kli1Jt~~:fr~~«:r1J(~.It~jf.i!¥ ' JtIJ N =12.96'" P=18.21 ».K=16.36' iiUmMEIllU~:kli~.~1129.26 0fT ' &":kli~~~~iIl:~i!¥' JlU:frJ!~~tlfEJfll:J.tt1J[]~ N = 13.67 ... P= 18.76 If<. K= 16.46 , jl;mMEIllU«:r:klire:l:3P*11[]~ 1131.44 0fT" 0
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7.85 2.36 12.96 1.20 18.21 1,041.15 2.36 12.96 2.36 13.95
7.94 2.33 13.04 1.18 18.30 1,041.34 2.33 13.04 2.33 14.04
8.16 2.27 13.23 1.15 18.44 1,041.74 2.27 13.23 2.27 14.23
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(2;;}l-t0l:fi)! TN I N I yP I P (2;;J'T/2;;l:fi)
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1,033.20 1.53 15.83 1.53 16.82 1,044.60
1,034.08 1.51 15.31 1.51 16.90 1,044.85
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1,036.92 1.38 16.45 1.38 17.43 1,045.68
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8.18 2.27 13.23 0.61 16.41 959.83 2.27 13.23 1.14 15.50
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2.45 12.49 1.23 15.34 957.25
2.31 13.11 1.15115.48/ 958.52
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2.5 1.0 0.5 12.55 16.60 19.14 1128.74 401.27 3274.36 479.93 2,794.43
1.5 2.5 1.0 15.95 15.74 13.54 1125.64 398.17 3249.07 599.90 2,649.17
1.5 2.5 0.5 15.95 16.40 13.54 1126.29 398.82 3254.37 529.19 2,715.18
1.5 1.5 1.0 15.95 15.74 16.94 1132.61 405.14 3305.94 531.02 2,774.99
1.5 1.5 0.5 15.95 16.60 16.94 1133.26 405.77 3311.25 470.30 2,840.95
1.5 1.0 1.0 15.95 15.74 19.14 1134.71 407.24 3323.08 479.85 2,843.23
1.5 1.0 0.5 15.95 16.60 19.14 1135.36 407.89 3328.38 419.14 2,909.24
j. 5.10 $}Pfl:fk.{1~~-t.;ijt~;.~~m"'Jt..ffi~'l*$..
)1':1'~JJe. ~$.)'A J1.~JJe. JiJTd. ~;f~ j.i
i PK I IPy EN Pp ;!IU!!! ~ ~ J! # DlIHIHiPl' Pp P:s:
ft/0 ft/0 ft/0 ft/0 Py Py -P;-N Kg/halp Kg/halK Kg/haIf If If l IT
7.85 18.5 9.4 5.0 2.36 L20 0.64 12.96 18.21 16.36
7.94 18.5 9.4 5.0 2.33 1.18 0.63 13.04 18.30 1&.38
8.16 18.5 9.4 5.0 2.27 1.15 0.61 13.23 18.44 16.41
8.67 18.5 9.4 5.0 2.13 1.08 0.58 13.67 18.76 16.46
ffE illU ~:1 tllliHE~Jifnil~$ffi 1JIIi1ii'!1!""~1JIIi!llJjrl!!"J~:kIi~il: 'OiIi ?&Kg/ha ~il: I~fl7G/0 ft/0fJi. ft/0fJi.
Kg/ha I fJi. .~
1129.26 401. 79 3154.05 492.73 2661.32 it{!ff)H~
1129.46 401.99 3191.80 495.17 2696.63 J&~~1lt~
1130.28 402.81 3286.93 500.15 2786.78 &:f.L?:ltJfJ~
1131.44 403.97 3502.42 511.54 2990.88 it~1lt~
l:~* ~f!-JJ{1*-'frfi:kEfJ ~~!uttllliHEmJif1JIl{f:jmil: ' ffjjtllliHE~gjG*J{Ij~
-'fr~#1IIIimil: 3!t!t1lt;fl?Z ~,~ , ~ 5. 10 HIJ2H~)~-'frm:kEfJ ;fI?~l!JT ' ;1ttllliHEm~;fIj1iii:tt:if~m 0 J±J1f~HE*'1-1lt;fl?~~f.i5i:: (itjli=:&:f.*1Jl~&1f~l!J) ,mQ{tIIIiHEm~;fIj1iii:/ljf:kEfJ~l:Trffjjlit1Jll 0 ;1t*1Jll$:kEfJ~~ 10.44%, ffjjtllliHE;fIJ~
JtIJ~ 12.38% ' m5l.tllliHE;fIj~~:kEiJ(~~* 0 ~J!t:kE1Jl~t\l:Tr' 1IIIiHE;fIJ1iii:~JiftJl] , :kE~~t\~1f;flJHIII 0
l:OO~WM~~~~HE*'1-=:~#tlllimil:B~W~~W~'~~~~l:tt:i~m
JlIJQ{lIImi1~~1J'W! 0 Ii! 5.8 ~Pf.U!*lf'f'FN~#;(£::fI3J1lt~ltT~~~tlllim
il: ' 1IIl::kIi~~ffII~Rf\;~1IIIimN~#m1{l>(r':j~il:' HPJ±JQ{rumJtH8~~ffII~
l:B':j~iI:~*::ftllliHE~tt:i~il:ffjj1{l> , mQ{EB (3.1) 5tHIQ{31tl:litllliJJE~:kE~il:~N~#r,ij~:Jmm1*:tmT :
YN = 6. 51N- 0. 046N8
13J~ , 1IIIiHE~:kEm:i:W P ~#IYIB':jmmf*9l'HIEB (3.1) 5t31t1{l> 0
-51-
y Jl =O.6P-O. 037pa
,~ I. ..... .4 ~_ ff, 76
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1iI5.8 Jn1il5.9 Rll~l:=itiBIiIM' ~fl?tZU~~-=jpFJfffliB1Jl* ' ::ltl:IiJre
(6I-*S1.1Jl~ltWW~~il!lll~zWl6iB~~' RP~jtft~~at1Jllim.Jnjt~(U~FJf
JilJotBilit o
I11I I
I 4 ".I~1'1·II..~
-52-
mIil5.8m~, 'i"~: =4.00 ~~~~1i!li}fli:~ 27.28 0ff' EE1i!li~Ej.lJT1~
tBmr.~~143.36 0ff ' tm*E1J'(~Q.( 8.35 5f;/0FfiH"jf., Jl.tl~~fIt~1l97. 06
5f;/0~ffiillE*'t~*~ 911.16 5f;/0~ cap 27.28x8.25x4), =:'i~§~z~n
285.90 5G/0:~' IlP~1i!lillEflj~ ,fjXli'llit~RJQ.(3Jt~;tE ~; =3.22, 1.50l!z1.22
~N~~tB~~~~m.,m1i!lillEm~~~I'1i!li~~*l!z1i!lillEm~~~~~o
Y(I1/.f.J
I,I
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-53 -
iii 5.9 ~P~~it/f'1m11UtrltT1&~~1i!lim.it'&" ~; 7t JJU ~ ~ 0.45,
0.35, Q.30 ». 0.26 ~, ;lta~~l'81i!limii7tJJU~ 2.03 .. 3.38 ..4.08 lJ.4.57~fTo
~~~t$f;i;f'F1iTQ{~ (2.2) iI:;*~1i!liIE1&*E~ii~1IZU=.~~Ml'8 ~1*tmT:
- Yn= -6.35N+62.701/ N
Yp= -6.90P+69.471/ NYx=10.13K-0.29K2
III 5.10, III 5.11 :&1iI 5.12 f!P~J:jlij:::iI:;B'jIllM 0
III 5.10 » 1iI 5.11 7tZU~ N. P =~~;ff/f'IPJ1JmltT1&~~1i!limii' &"N~~~*.E1llmlt~ 3.5 ~iilwl~1i!liml:~~ 10.13 ~fT' ITif1llmltit 2.5:& 1.5 ~1&~~1i!lim:l::~~ 12.55 ». 15.95 ~fT 0 &" P ~~~*.E1Jmlt~
2.5 .. 1.5lk. 1.0 ~JlUiil~~1i!li}1ll:7tZU~13.54'16.94lk. 19.14 ~fT' jfjj
=(it:j:r~~R!I~it 10 -¥1fLQ{T~~IIJi#4-J:fr ' ~~ N. P =~~l'81llmtjlJ15ld~
* ' :SJlIJ1&~~B':;1i!lim.z~{t1JH' 0
Ii 5.12 ~K~~it/f'lm1JmltT1&~IA'1i!limii ' &"1Jmlt~ 1.5, 1. 0 s.0.5 ~ , 1&~IA'1i!liFlli:7tJJU~ 14.89, 15.74 :& 16.60 ~1T;ltft~/f'* 0
J:jlijB~~rJJlT*3t~#f~*l'8Jflm , {g~jIf,~~mJ:~1t*~¥U-%t,Jl~
~:S1iT Q{:'£~¥U~lil*Jlf,!J1li ? ~;ltm:~~7t.JJUt;HI1;~T:
H tmfoJ~!H!H!l:**JiF.\l~~l;1Hi7t.m-1't1tf:1.i!~' ~ttB':J1IZU~~~::f'Q{J1t~
-54-
J::~fBJjjUllj , {fi1ft!IHljfr.Il**~ , ~1JIBrr~~irimi\(;~~iri~ , ~1J;ff;if'ffl"lt!j
MmrrtDil\t1~~i1iU ' 1E*!-Iett'fljfj1t~ , ~WE~'B!l~B':j;¥lj1iit , [lSIffij1WiZU!l~gt1!!!
I*~JlHoc*tD;fIJ$! ;;--~ ~~UBa*tD~$!~~~~§~'@rn~Mn'An~[lSI#m~~WE
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;~nJU~ , JlIj~WE~~it*B':i;¥ljiM 0 {!Ijtm~~Jl1f.i: 367 5i:ftiJtmfJ( (IlD PN=18.55i:' Pp=9.4 5i:' Px=5 5i:) m.qf.IE*!-NJ1:#90JT, PJ1:* 160JT'*J1:K1k.l0 01T ' m~~£:k.R<HJ0I;i1imq"" 1097.56 0JT ' tm*lifJ(;fi}~ 8.165i:/0JTrt!i ' JlU~!l~mB1&A 8,956.09 5i: ' ~*IE*!-nJ<;* 3675i:RTt!'J 8,589.095i:tf];flJiM' ~ffiLI:::i'!!!;:frBE~*lifR;fi}J:tB':if1f~T (IlP* 5.10 mift) ~*;¥ljiMJ!i
~1II!im N=13.23, P=18.44 Jj( K=16.41 0fi-ffijfiJ~::k.£jP130.280JT'
tJ31&A 9223.08 (IlP 8.16x 1130.28) 1II!iJEnJ<;* 500 5i: , ffiit!'J;¥UiM 8,723 5i: ' litwrrr~J:t~ , mJ!~!l~[lSI.i:i1IY 133 5i:' ffii~~~Jlj~~zail1li;¥ljiMlii ' [lSIffii~YT 134 5i:tD;flJiM 0
~ ::k.li~~~~~~~~¥~:k.'~~~T~~~lIt~~&&~~~m~
1II!ilEfI ' ~*WE1II!imjfU~~~~*1II!ifllIiB~iIjJt*;¥IJ$!1Ii 0
41!l) -~!t~m~fttDn:4fg:fl~f1l!~ 1l5Z.~.' ~{y!rJl:1lef.~;¥UiMJt*, JtlE*!-m~:fr:fln:4fg~~m~~JtJt~-¥ttlE~~~~n~~m~(~~~£n
~~~Jllj) ,mBIE*!-?HieF,,~!m~I't!i:lIt~Jl'j, ~1E*!-1II!iJilli*WE~i1JJt~~1'f:J
1JIB m:i:ffii~t!'JJt* tD;¥UiM 0
*x~m~£~~~z~~'~~*'il1lia~~*li~~~~ffiin:.~*
~tD-m~~'B~~IE~~~*W*li~£Z£*M~'~ffii~~Jf!*!-~mti
*lim~*~Z~~tft1J[JJ2.WJIt§ 0 ffE*li~£Z~¥[lSIT~{lJf!~-JJ{ , Jtfif!m~
WEWlJj(z~¥[lSIT ::f*xz*tFrlftOJJm~~5€ ' ~~W{t~Jf!*!-1f!li1l:VI*j~z1t
IE'~Jf!~1f~IE~Jj(itU:L7J<~[lSIT ' 1f!lli~1JDB~li:::t.ti 0 ~~ §Jru(i;J1mllt~
JJ{~~.*4' ~ffii1l!€1*~li:H::~~JJi 0 t&*li~~~JgcZ.~~m(i;J~1J[JQu~tft
tD~rJl:o
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H *lilE~1II!imfl~~.~~~~F~~~n~miftE~~J1:*ti*li~
.zJf!~ff~'_Ift~~~KP=~*~~,ffiiN~*Jf!~Jt*o ••~~M~~~#W1fJf!~ff~'ii'ii~Jf!~*'H~P>N>K 0
~ _1ft' il1liaWii1k~Z*li~'£~.qlff:w'~~~ZDeviation from
model ~~~~ili~lmi1kJruHf~~M:z;kli~.~.tmT0
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-55-
Y=686. 03+ 6.51N+ O. 6P-0. 046W-0. 037P~ (R = O. 6190)
fOiJt:lH;kfF*E~~wHI~:~ 0
Y =727.47-6.35N-6.94P+l0.13K+62. 70YN +69.47y P
-0.29K2 (R=0.7952)
tft1:.~j?j;jjX1lliNf\;£ZllJl!f' ~{i~ijUHf!t:ffJE*4ii5\~'itt~1' mJ lit'N!fIT!}!ZlIl[~ffiJt~nJ ' ft~1W:. ({fm~*'J·ii5\~l:m~~~Z~lII[7.k~) 1l\~' Jllj?JTMi'iSjB:!l~::t~
f'l:;ffI~l't!t:ff\;1RtIt 0 *.Y:Tfrm'itt*4f*~ E1-%tm»~f~U5E±J1ltij~jJSjfJE*4ii5\~ (ap~ 3x3x3 iJUft~gf) '~~~lf':'::'1i~lII[7.k~ 0 ~ffif, ~JJtfJE*4ii5\~J1tb~~
~5HJf~ § B'JZm5£J:: , ;l't:t§.~~Z~W7.k~?JT~ei'i$;!t:JB:!I~,ffl~~JE 0 ~li{f
liei'i1:./ifw;jfO~1[1*m, §',Jf-~fj s0 ij~*4ii5\~ 'itt*'!-Q(1il!;1iAA ;;r;iE'ffi"~1hz~fkf5lTO
~ ~ * .. ~ ,am:l:lf!ij~*'!-':'::'~~fmlZU~~1:.~jJ~1li!~~tilaffl:i:J.1t:tJumJJI!
.o~••1:.ajJ.~.~'~*R1:.~••~~.,mJ~~~tilam.~~*R
.~a.zi'ilIl[~~tilam.'~~frlIl[~~tilam:i:{f.*:l:lf!mN~~~W.W0
iT' P~~ffi0 8.11 0iT ' .~~.it~0t& 918.79 0-IT ' ~t:l:l:lf!l!\[N~~~
24.37 0JT' P~~~ 25.06 0fr' K~~~ 17.46 0iT' .~~.it~0t&1,141.89 0Jr 0 ~ij~*4..:.::.~~tJfi'i~Wii:l§g~ (15"N20%) 3&!$UiU5 (15"P18%)2k~At~ (15" K60%) Jltl.*:l:lf!m4.i0~1:.~ 918.79 0J?' *R~tilamwa~~353.8 0rr·, 3&!iilfi~U5 45.05 0JT 0 7i?it:li:tl!.l!\[4.i0t&:30.~ 1,141.89 0iT~tiIa
mWii:~~ 120 0JT' 3&!~~~ 138.8 0iT' i';1t~ 28.3 0iT' J1t;¥fjX~{J;J.FiJ
nJ~i\!!t*E:30.~!ffl.ij[~~jJ0
Q1g) _* ",~t:lm:itf1m~;:M.:.::.~~z~~f\;~$furlal:*:tJumJJI!*'rm;¥flf.7.k~T;;r;~~~mi'i~~~*z.~f\;~$MW.~~~m.~~rm•• o~*:l:lf!mN~~Z.~f\;~$*~P~~~~*:l:lf!~p~~z~~f\;~$.*,N~
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f5lJ1t'*E1:.lf~~;ff~'itt~z.~T,~~~.~;ff~fJE*'!-'itt~zMi'i~$~
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N= lOP j0l1t~, ?&,iU$:l:t!l.l!\[JlIJj2{ N= P= K z~ei3-l:t¥~.fi 0 :;r,JlIJ1E~!'l'itt~~D
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f!iJzi'ieirlti¥ 0
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rm~'~*1:..'itt.Z~~$~~.~~~M'~J::~~Mi'il:t$*~~.mo
t{J(Kt'i1:.a~*iVJ'$;*JllJm{:£~JKaBM! z5ttJflf-¥' ~~nl~$~im~~~mi-tz~Jlij"jjWliJ!Jl~Jt:30.~m~,f5lJ!t~JKB:!I~ (Expansion line) FiJm~-f~~
Ii!fJE*Ht~rrn{:£llJ:kR1=..Z ~'i"fJE*'l-~ei'i~$B:!I~ (Optimum fertilizerratio curve) 0 T7IJm~ap~.*~:b:1E~it1l.Z ~'i"JlE*'l-j!jei'i~$B:!I~ , ~*a, aI' a2 1k aa ~~fJE*'l-~~z~~l:t 0
- 56-
PO. 041P -al(O. 09P-0.45V P ) + alS(O. 049P -0.49v p~ +1.2285-
(K=O, al= ~: )
54.052 PIr)K=17.46+as(10.948-l7N) (p=o, as= PN
K=17.46+a3(I1.966_5~~97) (N=O, a3= ~:)
(ij JLt:t$§:::gg$~1Ut=1'~ IlbTt.rHJ(;*z 'It tI1 mJ jf;{~ilt:k.J't:j*llif!8 , :k..E.~~
~~tmJlt 0 IZSlJlt~~t:t$:k..E.~gg/lif.'~mtl:iJIj;ilt.rJ'P.J(;*zm'i"JJE*t~.g-.lt~!l!I~
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Jm:5HJfilHi" Jt~*:!mT:
if*:f:I!!.m10Z~il]~KflllMzHI'!*J-1iflim:l:tmT-=i\;F.JT1F 0
N=70. 76-10. 87rNP=8.1l-13.51rp (i'\t:j:r rF, rp ffl N. P -=~~W:k..E.zfJ{~.lt)
tm~;jt~Z N. P -=~~1i!lim:l:ftA:k..E.~ggim.i'\fl.Pt~~:*:;f!llM ff:l:k..E.gg:l: 0
?t6 iIE:f:I!!.m10Z~ i'J~**I]if!8zJJE*'f.1iIlim:l: tmT.=:itF.JT~ 0
N=982.82/(rN+ 6.35)SP = 1206.87/(rp+6. 94)2K= 17.46-1. 72rlr
(r"Y ;ff{~mitF.ijJJE#-¥fffiBT~J't:iJJE*'I-fJ{~(PF=18.5 7t/0fT' Pp=9.4 7t10fT' Px:=5 5t/0fT) ~1Jlj:.~!!&i;54~ F.JT~~*.E.1f.2p:l$]~ffrGI* ~0fT
8.35 7t , f<ilJt4H~fT 8.16 7t) ~;w.ii* ... ~1Jt-=:f:I!!.llb\:;fI]if!8Z:k..E.§:::~ , ~~i!*:f:I!!.&i~0grFiJ~ 889.57 0fT ' ijl'!*'I-ijiI£1i!limN~~~f:;ij 46.63 0fT' ~1Jt
ilkm~0f:;ijRJ3@ 1,130.28 0JT' JlE#~&"1i!lim.~N~~iiJ0f:;ij13.230fT'P~~ 18.44 0tT , K~~ 16.41 0fY 0 ~-i§z : tt-:f:I!!.J/i[z*.E.~~10Z~¥!J
m:~;flllM~' ~7tijl'!*'I·P.J(;*RJ~Z~f[@:' if*~ 8.6 7t ' ~1JtJtI]~. 18.4 7t 0
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______1 - IfTI~L_ _ cc _
42 1 28,225 17,4261 617 1121,5861 27,501 94,0851 139,012I I[I,
43 i 30,048 20,3101 676 101,688 10,074 91,614 121,998I I
44 I 34,510 24,151 700 117,585 4,528 113,057 141,736
45
46
37,5051 26,442
41,029 33,054
705
806
93,667
104,4
l7,4001 86,267
I
6,6761 97,782
120,109
137,512
54,438: 53,011 974II
55,223: 52,6451
976
47
48
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50
51
52
47.8,
53, 7851
I 59,66~!i
59, 582t
41,682
44,451
52,653
53,900
870
826
882
905
94,344 12,200 82,144
92,322 15,620 76,702
162,631 53,575 109,056
151,5761 49,924 101,652
69.1 ,6." 53.703
193,6471107,4971 86,150
136,026
136,913
215,284
205,476
153,318
213,141
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I41 1.2 101.7 0.4 6.0 0.69 1.89 8,730,256
42 1.4 100.4 0.5I
6.1 0.67 1.84 3,040,783
43 1.5I
95.6 0.6 6.0 0.64 1.75 9,349,574I
44 1.7 101.4 0.7 6.5
I
0.67 1.84 9,690,643
45 1.9 92.2 0.8 6.1 0.61 1.67 10,003,381
46 2.1 107.4 1.0 7.2 0.70 1.92 10,303,250
47 2.4 116.2 1.2 8.1 0.76 2.08 10,649,435
48 2.7 112.1 1.3 8.0 0.73 2.00 11,031,341
49 3.0 148.7 1.6 10.4 0.91 2.49 11,392,200
50 3.0 181.2 1.6 12.1 1.03 I 2.82 11,479,139
51 2.7 134.9 1.6 9.7 0.81I
2.22 11,935,400
52 2.7 196.3 1.6 12.9 1.05 2.88 12,253,500I~#*iJJjt : (1),1{t\.[f! "Taiwan Food Balance sheet"
(2);~.Atlf(ii'51&FQ(mr~&Fi&J1% "&F~AtI" I1P~l%i&.?
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.~~~~ ,m. IT $ hilY ~ 54~ 2 Jj R~
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~m~~~**:~~~Z±~ .M~~~~.m ~~1M
*i*.ff\lJt : iltJW~7.I<fBZ~l:!fl:&~Jt!l~ *~.~t;¥R1#V\M 43~ilM~* ~ IiililJ : .~1=.~i$it'<Z7t:#T * ••~fr¥R32M 49~ 12 Jj
~~~:.~.~~~~n~Zm~ .~~IT*~7~2~ 43~
#I!I~ ~ iffiil!!ilff : *.H.1IlJ!~:ll:i:~_ .~liJfJ'E 115lli 2M 51 ~ 6~#I!I~ ~ ~gc* : 1'rn1E:lilli~:ll:i:~_ .~liJf~ 11 t!i1M 51 ~ 3~~~~:.~7.I<fB1=.~~~#~~~~m:i:z@~7t~ .~~~*~~=m
.~~~*~*~.~@~m~m ~~7~
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.tJJ~:TI:*J!*~!t~f-l!~liJf~m 49 ~~*~:Mw~M~~~~~fl~~~~m:i:z@~7t~
.~~:TI:*J!*~.~@~liJf~ffl 50 ~Jerome. C. R. Li: Introduction to statistical inference I. 1957
Statistical inference II. 1964 Edwards Brothers.
INC. Am Arbor Michigan
E. O. Heady: Economics of Agricultural Production and Resources
use, NewYork. Printice-Hall INC. 1952E. O. Heady &. J. L. Dillon: Agricultural production function
Ames Iowa 1961T. A. Bradferd &. G. L. Johnson: Farm management Analysis, John
Wiley & Sons INC, New York 1953Richard H. Teftwich: The price system and Resources Allocation,
Revised Edition, New York, Holt Kinehart &
Winston. 1961S. Carlson: A study in the Pure Theory of Production, 1939C. E. Bishop & W. D. Tonasaint: Introduction to Agricultural
Economic Analysis. New York.
John Wiley & Sons. INC. 1958
-60 -
w. Y. Yang: Method of farm management investigations FAO.
1958
R. C. D. Allen: Mathematical Analysis for Economists Macmillan
Co. Ltd. London, 1956
- 61-
AN ECONOMIC ANALYSIS OF THE
RELATIONSHIP BETWEEN THE INPUT OF
CHEMICAL FERTILIZERS AND OUTPUT
OF SOYBEAN IN TAICHUNG
AND KAOHSIUNG AREA.
by
Yuan line Yang
SUMMARY
Production function expresses the functional relationships
between resource inputs and product outputs. The main purpose
of production function analysis is to compute physical input
-output coefficients for: (1) farmer's guidance in the use of
available but limited resources and (2) indicating optimum farm
organization or resource use. The farmers in Taiwan indeed
have been conscious of the benefits of applying chemical fertilizers
but how to use them effectively, economically and safely is
really a big problem.
This paper therefore is to be devoted to the studies on the
optimum application of fertilizer for soybean production. From
the view point of micro-economics, it is expected that the most
economical amount inputs of fertilizer and then optimum profit
obtained could be arrived by using a appropriate soybean
production function. Theories and methods used for this analysis
are from production economics. They include: (1) The analysis of
input-output relationship curves with more than two variables
(involving the prediction of soybean yields, production surface,
marginal productivity, iso-product curves ·and maginal rate of
substitution), (2) Single variable input-output curve analysis, (8)
Least cost line of fertilizer, (4) Economic optimum of fertilizer and
(5) The practical application of the results of this analysis.
The primary data used in this analysis were from the experi
ments of soybean production and fertilizer conducted in Taichung
-185-
K= 17.46+aa(1O.948-54. 052/yN)
K= 17.46 + a3(l1. 966-59. 897/yP)
and Kaohsiung Agricultural Improvement stations in 1963, Based.. --
on the primary data, results following findings were obtained:
1. Soybean -production function:
Taichung: Y =686.03+6.51N+0.6P-0.046Ns-0.037p2
Kaohsiung: Y =727.47-6.35N-6.94P+10.13K
+62. 70vN+69.47YP-0.29K2
2. Iso-product curves:
Taichung: N =70.76±5j796.8268+0.5216P -O.0324p2_0.86956y
Kaohsiung: N = 163.31-1.0929P+ 10. 9401y'P-O. 15748y
±9.874j138.936-1.0929P+ 10.9401YP-O.15748y
(K=O)
K= 17.46± lOj28.1337-0.2189N+2.162y'N -0.03448y
(P=O)
K= 17.46± lOj28.1337-O.2189N+2.162YN -O.03448y
(N=O)
3. Least cost curves:
Taichung: N=70.76 -a(6.522-0.804P)
Kaohsiung:
N= p0.041P-al(0. 09P -0. 45yP) + a12(0.049P-0.49y'P+ 1.228)
(al=PN/PP )
(aa=PK/PN)
(a3=PK/PN)
4. Economic optimum of fertilizer nutrients:
Talchung: N= 70.76 -10. 87'YN
P=8.1l-13.51'Yp
Kaohsiung: N =982.82/('YN+6.35)2
P = 1206.87/('Yp+6. 94)2
K=17.46-1.72'YK
('YN=Pr-/Py , 'Yp=Pp/Py , 'YX=PK/Py )
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