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Stochastic dynamics in finite populations: Difference between revisions
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Stochastic dynamics in finite populations (view source)
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==From finite to infinite populations== | ==From finite to infinite populations== | ||
[[Image:SDE vs IBS Performance|300px|thumb|Performance comparison of individual based simulations (IBS) versus stochastic differential equations (SDE). '''a''' ratio of the CPU times <math>CPU_\text{SDE}/CPU_\text{IBS}</math> as a function of the population size, <math>N</math>, and the number of strategic types, <math>d</math>. The bold contour indicates equal performance. | [[Image:SDE vs IBS Performance.svg|300px|thumb|Performance comparison of individual based simulations (IBS) versus stochastic differential equations (SDE). '''a''' ratio of the CPU times <math>CPU_\text{SDE}/CPU_\text{IBS}</math> as a function of the population size, <math>N</math>, and the number of strategic types, <math>d</math>. The bold contour indicates equal performance. | ||
For small <math>N</math> and large <math>d</math> IBS are faster (red region), but for larger <math>N</math> and smaller <math>d</math> SDE are faster (blue region). | For small <math>N</math> and large <math>d</math> IBS are faster (red region), but for larger <math>N</math> and smaller <math>d</math> SDE are faster (blue region). | ||
Each contour indicates a performance difference of one order of magnitude. | Each contour indicates a performance difference of one order of magnitude. | ||
