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Forestry, Part 1

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Q determined from growth function. Price determined by market for some outputs ... Plant R1. Plant R3. Harvest R2. Optimal rotation varies by owner category ... – PowerPoint PPT presentation

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Title: Forestry, Part 1


1
AGEC/FNR 406
LECTURE 29
30-year old Loblolly Pine plantation
2
Forests - characteristics
  • 1. Renewable
  • 2. Interactive
  • 3. Common, private, or public property
  • 4. Benefits include
  • Private goods
  • Public goods

3
Economic Analysis
  • Same principles as fishery
  • Efficiency achieved where MC MB
    IFproperty rights are structured to allow
    markets to capture ALL costs benefits
    (including social) This assumption is
    rarely met.
  • TR P Q
  • Q determined from growth function
  • Price determined by market for some outputs

4
Growth Function (logistic) output (Q) wood
input (X) time (waiting)
5
MP and AP - definitions
  • Marginal Product (MP) periodic annual increment
    (PAI) marginal change in volume ?Q/?X
  • Average Product (AP) mean annual increment
    (MAI)
  • total volume/total input Q/X
  • (If managing for perpetual physical volume only,
    then find maximum MAI)

6
Growth output as a function of time
7
(No Transcript)
8
Rotation length - definition
  • Period of time a given area of timber (stand or
    individual tree) is held, i.e. time between
    planting or natural regeneration, and harvesting

9
Sequence of timber rotations (Rt) from given
tract of land
Time line
R1
R2
Rn
Harvest R1
Harvest R2
Harvest plant
Harvest plant
Harvest plant
Plant R2
Plant R1
Plant R3
10
Optimal rotation varies by owner category
  • Households - utility maximizers
  • Forest products firms - profit maximizers
  • Public - multiple uses, utility maximizers
  • Single age/species stand vs. multiage,
    multispecies stand very different analysis
    required.

11
Rotation based on physical product only two
choices
  • 1. Choose rotation length to maximize volume over
    one rotation
  • optimal length where Q is at maximum
  • 2. Choose rotation to maximize volume in
    perpetuity optimal length is where MAI is at
    its maximum (see Table11.2 in text, referred to
    as culmination of MAI)

12
Economic efficiency criteria
  • 1. Static efficiency
  • Maximize net benefits of one optimal rotation
  • 2. Dynamic efficiency
  • Maximize net benefits from continuous series of
    rotations, where the net benefits from future
    rotations are discounted back to present value
    terms.

13
Key economic insightnet benefits are maximized
where
  • NB is maximized, i.e.
  • where TB - TC is greatest
  • where MC MB (same thing!)
  • Economic criteriamaximize net benefit
    (static)maximize present value of NB (dynamic)
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