Journal of Population Sciences
From: Rates, intrinsic linkages, and multistate population dynamics
 | Largest subordinate root of | Value of w when m is | |||
---|---|---|---|---|---|
Model form | Rate matrix (r2) | Projection matrix (λ2) | .05 | .10 | .20 |
N = 2 path | –2 m | (1–m)/(1 + m) | .905 | .818 | .667 |
N = 3 path | –m | (2–m)/(2 + m) | .951 | .905 | .818 |
N = 3 triangular, 5-rates | –2 m | (1–m)/(1 + m) | .905 | .818 | .667 |
N = 3 full | –3 m | (2–3 m)/(2 + 3 m) | .860 | .739 | .538 |
N = 4 path | \( -\mathrm{m}\left(2-\surd \overline{2}\right) \) | \( \frac{2+2\mathrm{m}\surd \overline{2}-{\mathrm{m}}^2}{2+4\mathrm{m}+{\mathrm{m}}^2} \) | .971 | .943 | .889 |