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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· (tb1 − t b10) | [E6] |
| [ 8 ] | β = 0 δ = 0 b1 = α | N = N0·eb1· (t − t0) | [E7] |
| [ 9 ] | β = 0 b1 = α · δ b2 = γ |
|
[E8] |
| [ 10 ] | β = 0 b1 = δ b2 = α | N = N0·eb2· (bt1 − b t01) | [E9] |