In this review some simple models of asexual populations evolving on smooth landscapes are studied. The basic model is based on a cellular automaton, which is analyzed here in the spatial mean-field limit. Firstly, the evolution on a fixed fitness landscape is considered. The correspondence between the time evolution of the population and equilibrium properties of a statistical mechanics system is investigated, finding the limits for which this mapping holds. The mutational meltdown, Eigen's error threshold and Muller's ratchet phenomena are studied in the framework of a simplified model. Finally, the shape of a quasispecies and the condition of coexistence of multiple species in a static fitness landscape are analyzed. In the second part, these results are applied to the study of the coexistence of quasispecies in the presence of competition, obtaining the conditions for a robust speciation effect in asexual populations.
AN EVOLUTIONARY MODEL FOR SIMPLE ECOSYSTEMS / FRANCO BAGNOLI;MICHELE BEZZI. - STAMPA. - (2000), pp. 265-309. [10.1142/9789812813329_0008]
AN EVOLUTIONARY MODEL FOR SIMPLE ECOSYSTEMS
BAGNOLI, FRANCO;
2000
Abstract
In this review some simple models of asexual populations evolving on smooth landscapes are studied. The basic model is based on a cellular automaton, which is analyzed here in the spatial mean-field limit. Firstly, the evolution on a fixed fitness landscape is considered. The correspondence between the time evolution of the population and equilibrium properties of a statistical mechanics system is investigated, finding the limits for which this mapping holds. The mutational meltdown, Eigen's error threshold and Muller's ratchet phenomena are studied in the framework of a simplified model. Finally, the shape of a quasispecies and the condition of coexistence of multiple species in a static fitness landscape are analyzed. In the second part, these results are applied to the study of the coexistence of quasispecies in the presence of competition, obtaining the conditions for a robust speciation effect in asexual populations.File | Dimensione | Formato | |
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