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    EEP 101/ECON 125Lecture 14:

    Natural Resources (NR)

    David Zilberman

    UC Berkeley

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    The 2003-08 food commodity

    price boom

    The food commodity price boom substantiallyimpacted global economic activity. It affected developing nations by impacting real

    output, the balance of payments, government

    budgetary positions and most importantly the wellbeing of the very poor.

    It also affected developed countries, by transmittingbusiness cycle disturbances and creating inflationarypressures.

    Can we identify the main cause of this pricespike?

    World Bank, March 2010

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    Commodity price trends:

    The big picture

    World Bank, March 2010Source: Trostle2008

    During the

    21stcentury,commodity

    prices spiked

    to new highs

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    Crop price trends

    World Bank, March 2010

    This report

    focuses oncrop prices

    from 2002 to

    2007

    Data source: IMF primary commodity price database

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    Crop price trends

    World Bank, March 2010

    2002 2003 2004 2005 2006 2007 2008

    corn 11% 17% 25% 10% 35% 82% 149%

    soybean 11% 34% 60% 32% 30% 81% 163%

    rapeseed -15% 3% 40% 99%

    rice 11% 13% 38% 64% 75% 89% 293%

    wheat 16% 15% 24% 22% 54% 103% 166%

    Cumulative increase in world price (in 2005 US$) with respect

    to 2001

    Data source: IMF primary commodity price database

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    Is biofuel the culprit?*

    World Bank, March 2010

    Source Estimate Commodity Time period

    World Bank (April

    2008)

    75 % global food index January 2002February 2008

    IFPRI (May 2008) 39 %

    21-22 %

    corn

    rice & wheat

    20002007

    2000

    2007OECD-FAO (May

    2008)

    42 %

    34 %

    24 %

    coarse grains

    vegetable oils

    wheat

    20082017

    20082017

    20082017

    Collins (June 2008) 25-60 %

    19-26 %

    corn

    US retail food

    20062008

    20062008

    Glauber (June 2008) 23-31 %10 %

    4-5 %

    commoditiesglobal food index

    US retail food

    April 2007

    April 2008April 2007April 2008

    JanuaryApril 2008

    CEA (May 2008) 35 %

    3 %

    corn

    global food index

    March 2007March 2008

    March 2007March 2008

    Rajagopal et al. (2009) 15-28%

    10-20%

    Corn

    soybean

    2007

    *Wiebe, 2009, in The Biofuel Situation and Policies in Developing Countries

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    Review of Renewable Vs. Non Renewable

    Nonrenewable resources (mineral, fossil water,remnants of ancient civilizations, old growthforest, dead things).

    Renewable resources (fisheries, forests, grasslands,water systems, living things).

    Many renewable resources and most nonrenewableones are exhaustible.

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    Analysis of dynamic systems Natural resource management is control and direction of dynamic

    systems. Policies affect the evolution of populations and/or resourceinventories

    The indicators of the situation of dynamic systems are statevariables-

    Number of fish in a lake at a moment of time

    Volume of water in an aquifer

    Policy makers affect control variables

    Size of harvest Price of water

    Systems are affected by random shocks

    Weather Pest infestations

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    Quanti f ication of NR systems

    Measurement of dynamics systems is challenging counting fish is not easy

    NR resource systems may be heterogeneous trees and fish of different sizes, of different ages, and at different

    locations

    minerals of different qualities at varying locations

    The art of modeling identifies crucial features of thesystem and integrates simplicity with realism

    Models are approximations that are subject to error

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    Applying Our Knowledge of

    I nterest Rates

    Higher interest rates lead to increased mining or

    harvesting

    Resource owners that have to pay high interest for

    funds are more likely to mine resources & sell them

    than resource owners who face low interest rates

    Poor individuals with heavy credit constraints are more

    likely to mine their resources

    Income & credit support for the poor reduce NR mining

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    Net discounted present value (NPV)

    Discounting to time 0 is used for comparing income

    of different periods

    The objective of resource management programs are

    to maximize the sum of discounted values of all net

    benefits over time (Net Benefits of period 1, plus 2, plus 3, etc.)

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    Example: Computing NPV

    If we have earned

    55 dollars at first period

    60.5 dollars at period two

    If the discount rate is 10% The NPV is 100 Dollars

    (55/1.1=50, 60.5/(1.1*1.1))

    If interest rate is 20%the NPV is

    45.83 which is equal to 55/1.2

    + 42.03 Which is equal to 60.55/(1.2*1.2)

    = 87.86

    Higher interest rates reduce value of future earning

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    Non renewable resources The actual stock of non renewable resources is declining over

    time, but known reserves may increase because of discoveries

    Perceived shortages and improved discovery technologies trigger

    searches and lead to discoveries

    Known oil reserves are estimated to last 40-80 years, the same

    estimate was given in the 1940s

    Still oil and natural gas reserves may run out

    Non renewable resources are rarely depleted, but may become

    too expensive to mine

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    Factor determining extraction: demand

    Demand is reflecting marginal value of resource in applications (value

    of oil in transportation and heating)

    Higher incomes and lower prices increase demand

    Demand increases with increased population

    It may be reduced by introduction and adoption of resource

    conserving technologies (fuel efficient cars)

    It is reduced by back stop technologies (solar energy)

    Demand can be reduced by

    Taxes

    Population policies

    R&D

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    Other factors determining extraction

    Extraction cost- reduced mining or harvesting cost or improved

    infrastructure (roads) increase extraction

    Recycling- alternative supply sources reduce extraction

    Known Reserves (more reserves increase extraction)

    Market structure

    Cartels extract less than competitive producers

    Open access result in excessive mining

    Regulation and policies

    Technology control (restriction on use of explosives)

    Zoning ( do not drill in Alaska)

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    Generic Model Marginal Mining cost. MNC(x) .

    Marginal future cost (User costs).MFC(x). The future costrepresents loss of future opportunities by present extraction.

    Externality cost.MEC

    C =Optimalallocation

    A=Allocation

    under open

    access

    B=Allocation

    without

    considering

    externality costs

    A

    B

    C

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    Alternative Allocations Open access and no regulation will result in excessive

    resource use (A- Pollution & future ignored)

    Competitive supply by firms with well definedresources, ownership rights without pollution control

    still result in excessive mining (B)

    Competitive supply when ownership is well defined andpollution is taxed results in optimum (C)

    Cartel may under provide resources (if price undermonopoly is greater than at C) or under provide if

    pollution cost great than the cartel

    s price increase.

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    Elements of a Resource Policy (1) Establishing private prosperity for the resource. This prevents the open

    access problem and moves from point A to point B in Figure 1.

    (2) Externality control. Including tax on the resource (leading to a transition

    from B to C). Gasoline tax in U.S. can

    affect Climate change dynamics

    reduce air pollution

    Resource taxes also lead to

    adoption of resource efficient technologies

    emergence of backstop technologies (recycling when appropriate)

    (3) Support to Backstop research

    (4) Subsidy for adoption of resource efficient technologies( fuel efficientcars ublic trans ort

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    Renewable resources

    Growth provides a base for harvest without ultimate

    depletion.

    Change of stock = Growth minusharvest

    At a Steady state (sustainable solution)

    Growth = Harvest

    There are many sustainable solutions, the one that

    maximizes discounted net benefits is optimal

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    Growth as function of stock We have steady state (harvest =growth) at B,M,C,X

    G

    g

    r

    o

    w

    th

    Resource Stock

    M=Maximum Sustainable yield

    X=maximum Sustainable Stock

    M

    X

    B C

    B= low stock sustainable outcome

    C = High stock sustainable outcome

    O

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    Alternative Sustainable Outcomes Extinction- no stock on growth

    X=maximum Sustainable Stock (All food goes for consumption notgrowth)

    M=Maximum Sustainable yield (Between O and X)

    B= low stock sustainable outcome (Between O & M)

    C = High stock sustainable outcome (Between M &X)

    Maximum Sustainable yield is not necessarily optimal

    Higher stocks reduce harvesting costs

    Lower stocks allow more extraction

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    Major Contr ibutors to extraction:Demand, Open access,Extraction technology

    Resulting elements of Extraction control policy Reduction of demand

    taxes, subsidies to resource use reducing technologies

    Control of access establishing property rights

    requiring licenses to extract

    limiting harvesting season

    Regulation of Extraction technology restricting size of equipment

    restricting total harvesting capacity

    regulating externality caused by harvesting (By catch)

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    Multiple benef i ts of resources Resources (forests, wetlands, etc.) provide multiple services

    (recreation, bio-diversity, etc.)

    Harvesting reduces alternative environmental benefits

    One solution: taxation of harvested resources

    Alternatives: subsidies for conservation (not harvesting), debt

    for nature, payment for environmental services

    Marketing of environmental amenities (Ecotourism, bio-

    prospecting, tropical nuts )

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    I ntensif ication and conservation

    Agricultural intensifications (fertilizers,chemicals)-increases yield per acre and reduces utilized land and

    deforestation

    Aquaculture provides substitutes for fishing, but has its

    own environmental side effects (to be controlled)

    Forest plantation reduces pressure on natural forest

    Husbandry of animals (rhinos) would reduce pressure for

    tasks and other features of wild animals

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    Fishery Issues

    International water. There are international agreements and

    evolving laws of the sea,yet, open access problems continue

    Monitoring problems. Countries establish transferable fishing

    permits. Monitoring and enforcement may limit their effectiveness

    Regulation of timing. The size, number of boats and duration offishing may be regulated. Limitations:

    (i) It leads to overinvestment in equipment.

    (ii) Frozen fish are inferior to fresh ones.

    Technology controls. Some techniques (use of explosive, fishing

    with fine mesh nets) have future and externality costs

    Aquaculture and marine culture.Provide alternative sources of

    fish, but have externality costs

    P0

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    Non renewable resource prices

    Prices are indicators of scarcity

    Prices of non renewable resources decline when known

    resources grow faster than use

    Prices of most non renewable resources has decline

    Higher interest rates lead to lower prices at present and

    higher future prices (they increase present mining)

    Higher mining cost increases prices but reduces price

    changes over time

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    Optimal price of resource over time

    with zero extraction cost

    Pt

    Pt

    Pt

    1

    t

    r2> r1

    t*

    r1

    Figure 3

    Higher interest rate

    reduces initial price

    BUT

    Increased rate of

    price changes whenstock is constant

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    More mining under higher interest rates in earlier per iods and

    less mining beyondt=t*

    t*t

    xt

    xt1

    2

    Figure 4

    Mining

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    Price Dynamics of Renewable Resources

    The rate of the price change is affected by: The discount rate tends to increase price over time.

    Rate of resource population growth tends to reduce price over time

    (as supply increases)

    Extraction cost factor dampens the other two

    Demand growth increases prices

    New resource sources tend to reduce prices

    Prices of most renewable resources have decline over time