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exam 2 review
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resource economics nonrenewable vs. renewable –maximize pv of net benefit –renewable includes growth functions characterize efficient allocations compare to market allocations discuss policy to make market allocations more efficient
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start with the price equation efficiency pricing: P t = MEC t + MUC t where –MEC: Marginal Extraction Cost –MUC: Marginal User Cost
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MUC and Q over time efficient MUC rises, reflecting increasing scarcity in response, Q extracted falls over time until reaching zero, when total MC = highest WTP (“choke price”) or reach backstop MC efficiency requires smooth transition to exhaustion of resource
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constant MEC with no substitute
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energy: efficient vs. market outcomes vulnerability premium energy: efficient vs. market outcomes
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surface water –how to allocate a renewable supply among competing uses –intergenerational effects less important (future supplies depend on natural phenomenon, e.g. rain, rather than current allocation) groundwater –withdrawing now affects future supply water efficient allocations: surface vs. groundwater
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efficient allocation: surface water 1.balance btw users marginal net benefit equal across users 2.handle variability above-average and below-average flows must be accommodated
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efficient allocation: groundwater if withdrawal > recharge, eventual exhaust resource MEC rises over time as water table falls pumping would stop: –no water left –MC pumping > benefit of water or MC of backstop resource (desalination) price rises over time until choke price or switch point
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utilities pricing: inverted block & seasonal rates (potentially efficient)
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MAI = cumulative volume end of decade / cumulative yrs of growth harvest when MAI maximized forests: biological harvest rule
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biological harvesting decision
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economic harvesting rule harvest at age that maximizes PV of net benefits 1.planting costs borne immediately no discounting 2.harvesting costs time of harvest discounted
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sample problem AgeVolume (cubic ft) 11700 211,000 313,000when to harvest 416,000using biological rule? 518,000using economic rule? Price: $2 Planting cost: $1,000 Harvest cost: $0.50 Discount rate: 3%
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optimal harvest age discounting shortens optimal harvest time –less tolerant of slow timber growth –comparing no harvest (increase in value of timber) to harvest (sell and invest) high discount rates also destroy incentive to replant
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fisheries: biological vs. economic harvest biology: “maximum sustainable yield” (MSY) –yields maximum growth –largest catch that can be perpetually sustained economics: maximize net benefit
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too much effort! policy responses increase MC– require fishing farther from shore, use smaller nets, boats, or motors –but artificially increasing cost inefficient total allowable catch – restrictions on effort or size of catch –monitoring, enforcement difficult, also creates race to catch individual transferable quotas –quotas allocated, then trade –no race, allows most efficient fishers to buy rights from inefficient fishers
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sample problem Costs fisher $20 to fish salmon Salmon sells for $10 Harvest rate given X fishers is S = 30X-2X 2 How many people will go fishing, how many salmon will be caught, and what are total profits under –Open access –Limited entry (how many fishers should be allowed to maximize profit?)
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