Schuster, Peter

Evolution is viewed as a process involving population dynamics on a complex landscape that results from a mapping of genotype space onto phenotype space. Phenotypes are evaluated with respect to fitness, which is interpreted here as the number of offspring. Evolutionary dynamics combines two features: (i) the dynamics of genotype distributions on the population level and (ii) interspecies dynamics on the level of ecosystems. A formal mathematical model of evolution based on three fundamental processes - competition through reproduction, symbiontic cooperation through catalyzed reproduction, and variation through mutation is introduced here. The intensity parameters of the three processes are plotted along the coordinate axes of a Cartesian coordinate system and the dynamics on the three faces of the Cartesian space is presented, analyzed, and discussed on the deterministic as well as stochastic level. The dynamics in the interior of the parameter space is briefly mentioned.