Skip to main content
. Author manuscript; available in PMC: 2017 Oct 30.
Published in final edited form as: Ecol Lett. 2008 Nov 8;12(1):93–106. doi: 10.1111/j.1461-0248.2008.01262.x

Table 4.

Measures for Ψ in equation (1)

Quantity Value for equation (1)
Stationary distribution π = (0, (1 − ψ22), (1 + ψ33))/(1 − λ1)
Entropy π2[ψ22 log ψ22 + (1 − ψ22)log(1 − ψ22)] + π3[ψ33 log ψ33 + (1 − ψ33)log(1 − ψ33)]
Subdominant Eigenvalue λ1 = (ψ22 + ψ33 − 1)
Autocorrelation coefficient ρ = λ1 = (ψ22 + ψ33 − 1)
Correlation Time τ = −1/[log(ψ22 + ψ33 − 1)]
Expected time to leave stages 1, 2, 3 1/(1 − ψ11), 1/(1 − ψ22), 1/(1 − ψ33)