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Harvest Timing
Optimal age for timber yield maximization.
Yield
Amount of timber produced, measured in cunits.
Mean Annual Increment (MAI)
Average growth over the entire measurement period.
Current Annual Increment (CAI)
Growth attained by the stand in a given year.
CAI Formula
CAI = (Y2 - Y1) / (t2 - t1).
MAI Formula
MAI = Yt / t.
Age of Max MAI
Age for optimal production.
CAI Behavior
Maxes early, then declines with age.
MAI Behavior
Maxes later, intersects CAI at peak.
MAI is increasing
If CAI > MAI
Net Return (Nt)
Per-acre return at harvest after costs.
Stumpage Price (S)
Price per cunit of timber, $35.
Regeneration Cost (R)
Cost per acre for regeneration
Interest Rate (i)
Inflation-free rate, 4%.
Annual Tax (T)
Annual cost per acre, $1.50.
Present Value of Nt
Nt discounted over time, PV = Nt / (1+i)^t.
Bare Land Value (BLV)
Present value of net returns from rotations in a continuing series.
Optimum Rotation Age
Age where MAI is maximized for yield.
Max BLV Age
Age for economic rotation.
Yield Curve
Graph showing yield against age of stand.
Cunits
Unit of measure for timber yield.
Average Production
2.0363 cunits/acre/year at max MAI.
CAI Values
Growth rates for specific ages of timber.
MAI Value
Average growth rates for specific ages.
Net Return Calculation
Nt = SYt - R(1+i)^t - T(1+i)^(t-1).
Present Value Calculation
PV = Nt / (1+i)^t.
Maximum Yield Age
Age to obtain highest average production.
Economic Rotation Age
Age where BLV is maximized.