User:Carl Boettiger/Notebook/Stochastic Population Dynamics/2010/05/25

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 * style="background-color: #EEE"|[[Image:owwnotebook_icon.png|128px]] Stochastic Population Dynamics
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 * style="background-color: #F2F2F2" align="center"|  |Main project page


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Bug fixed!

 * Wasn't taking the Jacobian of the transition terms. Fixes the unstable behavior and disagreement between simulations and theory.
 * Other note: the "hastings.c" model can trivially be obtained from the standard crowley-form metapopulation model by taking b_1 = 0.

For the crowley class of models at least, seems that while the two-step vs one-step involved different dynamics, this difference exists only in transients while equilbrium covariances agree.




 * Corrected figures from Friday:





Beetle dynamics

 * Variances aren't exactly in agreement, though much closer. Simulations with 30 replicates a piece for speed, will rerun for finer resolution on variances comparisons.
 * Wondering what parameter regimes will make most pronounced difference.




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