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Digitale Medien

Evolution on a smooth landscape (1997)

Kessler, David A. ; Levine, Herbert ; Ridgway, Douglas ; [weitere]

Springer

Journal of statistical physics 87 (1997), S. 519-544

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ISSN: 1572-9613

Schlagwort(e): Evolution ; birth/death processes ; mean-field ; population dynamics

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract We study in detail a recently proposed simple discrete model for evolution on smooth landscapes. An asymptotic solution of this model for long times is constructed. We find that the dynamics of the population is governed by correlation functions that although being formally down by powers ofN (the population size), nonetheless control the evolution process after a very short transient. The long-time behavior can be found analytically since only one of these higher order correlators (the two-point function) is relevant. We compare and contrast the exact findings derived herein with a previously proposed phenomenological treatment employing mean-field theory supplemented with a cutoff at small population density. Finally, we relate our results to the recently studied case of mutation on a totally flat landscape.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02181235

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Digitale Medien

Evolution on a Smooth Landscape: The Role of Bias (1998)

Ridgway, Douglas ; Levine, Herbert ; Kessler, David A.

Springer

Journal of statistical physics 90 (1998), S. 191-210

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ISSN: 1572-9613

Schlagwort(e): Evolution ; birth/death processes ; mean-field ; population dynamics

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract The role of mutational bias in evolution on a smooth landscape is investigated. We consider both a finite-length genome where the bias increases linearly with the fitness, and an infinite genome with a fixed bias. We present simulations of finite populations in a waiting time model, showing both the nonequilibrium dynamics and the equilibrium fitness distributions that are reached. We compute the equilibrium analytically in several cases, using approximate direct solution of the master equations and truncated hierarchies.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1023203818384

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