User:Carl Boettiger/Notebook/Stochastic Population Dynamics/2010/05/14
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Structured Population Dynamics
Has the corresponding variance-covariance dynamics
Where g_i is the second jump moment, which is a function of the state (E, L, P, A) just as f_i is. (In this case it will correspond to the sum of all birth and death terms).
General Form & Algorithm
Consider the dynamics are given by
and define variance-covariance matrix M and the Jacobian matrix of f as J. Then the dynamics of the diagonal elements (variance terms) are written as
While the dynamics of the off-diagonal elements (covariance terms) are given by
Track current implementation of the algorithm here.