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Table II

Mathematical expression of some mortality models derived from differential equations (8) to (10). Where N and N0 are the number of trees per hectare present at ages t and t0, respectively.

Differential function Initial condition Equation
[8] β = 0.5  δ = 1 b1 = α [E5]
[ 8 ] β = 0 b1 = δ + 1 ≠ 0 b2 = α N = N0·eb2· (tb1t b10) [E6]
[ 8 ] β = 0  δ = 0 b1 = α N = N0·eb1· (tt0) [E7]
[ 9 ] β = 0  b1 = α · δb2 = γ [E8]
[ 10 ] β = 0  b1 = δb2 = α N = N0·eb2· (bt1b t01) [E9]