Illusions of Significance in a Rugged Landscape

Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape

A simplified form of the time dependent evolutionary dynamics of a quasispecies model with a rugged fitness landscape is solved via a mapping onto a random flux model whose asymptotic behavior can be described in terms of a random walk. The statistics of the number of changes of the dominant genotype from a finite set of genotypes are exactly obtained confirming existing conjectures based on nu...

Rugged Landscapes and Timescale Distributions in Complex Systems

We review a simple model of random walks on a rugged landscape, representing energy or (negative) fitness, and with many peaks and valleys. This paradigm for trapping on long timescales by metastable states in complex systems may be visualized as a terrain with lakes in the valleys whose water level depends on the observational timescale. The “broken ergodicity” structure in space and time of t...

Contribution of Topographically Explicit Descriptors of Landscape Measures for Application in the Vector Data Environment

Digital terrain models (DTMs) are not commonly used to integrate for landscape spatial analysis. Two dimensional patch-corridor-matrix models are prototypes in landscape spatial ecology analysis. Previous studies have motivated ecologists to integrate terrain models in landscape analysis through 1) adjusting areas and distance calculations prior computing landscape indices; 2) designing new ind...

Taming the Rugged Landscape: Techniques for the Production, Reordering, and Stabilization of Selected Cluster Inherent Structures

Self-Organization in Models of Populations with Two-Parent Reproduction on a Rugged Fitness Landscape

The two-parent reproduction model of Derrida and Peliti is simulated on a rugged tness landscape. Fixed tness values for each possible genotype are assigned randomly, with all t individuals having the same probability of reproduction. The previously observed transition to a self-organized state of the population with less recombinational load, implies an abrupt change of genetic overlap distrib...