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Journal of Population Sciences

Table 1 Values of parameter w in selected multistate models with all transfer rates equal to m and interval lengths equal to 1

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