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Forest Resources Monday, April 4
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Characteristics of a Forest Resource
Renewable Slow growth Replant Self-regenerate Life cycle External benefits Storable
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Forestry Property Rights
For private land owner, right to cut trees is one of the sticks in the bundle of rights Publicly owned forest land Federal and state (20% of land area – 7.5 million acres) Federal and state programs of multiple use Private harvest on public land
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Biological Model Total volume of wood by age of forest Years
Volume of wood (cu ft) Years
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Age of trees Volume Average Volume Annual Increase 10 80 8 20 200 12 30 400 13.3 40 720 18 32 50 1360 27.2 44 60 1660 26.3 70 1840 24.5 1960 22.7 90 2040 20.9 100 2090 19 5 110 17.4 120 14.9
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Harvesting Decision Rules
Biological When average volume is at maximum Economic When marginal benefit of one more year just equals the marginal cost of one more year.
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Using Field’s Notation:
V0: value of the wood that would result if harvested this year (p x q0). V1: value of the wood that would result if harvest is delayed one year (p x q1). ΔV: V1- V0 or the change in value between the two years (what you lose if you cut in year 0) C: cost of harvest (c x q) r: discount rate S: PV of all future net benefits (all future timber harvests with efficient management or other known uses)
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(MC = MB) Proceeds if harvested this year
(Marginal benefit of harvesting now) Proceeds if harvested next year (Marginal cost of harvesting now) (MC = MB)
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The Simple Model
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For simple model (no future), changing harvest costs does not change optimal time of harvest:
Present value of net value, r=.02, when harvest costs are .30/cu ft, .40/cu ft, and .50/cu ft.
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