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Analysis of Dynamics
Published on Feb 25, 20073281 Views
It has been a century and a half since Darwin provided the first mechanistic explanation for the complexity of the living things we see around us. Only in the last 30 years or so have computational sy
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Chapter list
Evolution of Complexity Dynamics00:16
Outline02:14
Fisher-Wright Model02:22
Linkage Equilibrium04:23
Keep It Simple08:31
Many Seeds10:25
Dynamics12:35
Infinite Population Approximation14:57
Infinite Population Prediction15:38
Finite Populations16:06
Finite Population Run17:42
Markov Models18:29
Matrix Formulation20:03
Transition Matrices21:26
Markov Analysis26:57
Diffusion Models30:02
Naming and Mis-naming31:57
Fisher-Wright Average33:40
Fisher-Wright Variance34:59
Continuous Time36:05
Fokker-Planck Equation37:25
Going Back38:21
Steady State39:27
SSteady State Solution40:40
Outline41:40
Simple Example42:41
Example Dynamics44:11
Macroscopic Variables46:31
Including Fluctuations47:38
Evolving Ensembles49:16
Calculating the Dynamics50:26
Asexual Evolution52:12
Asexual Evolution52:47
Asexual Evolution53:08
Comparisons54:00
Conclusion55:23