A soluble model of evolution and extinction dynamics in a rugged fitness landscape

Adaptive walks on time-dependent fitness landscapes

The idea of adaptive walks on fitness landscapes as a means of studying evolutionary processes on large time scales is extended to fitness landscapes that are slowly changing over time. The influence of ruggedness and of the amount of static fitness contributions are investigated for model landscapes derived from Kauffman's $NK$ landscapes. Depending on the amount of static fitness contributions in the landscape, the evolutionary dynamics can be divided into a percolating and a non-percolating phase. In the percolating phase, the walker performs a random walk over the regions of the landscape …

The Role of Redundancy in the Robustness of Random Boolean Networks

Evolution depends on the possibility of successfully exploring fitness landscapes via mutation and recombination. With these search procedures, exploration is difficult in "rugged" fitness landscapes, where small mutations can drastically change functionalities in an organism. Random Boolean networks (RBNs), being general models, can be used to explore theories of how evolution can take place in rugged landscapes; or even change the landscapes. In this paper, we study the effect that redundant nodes have on the robustness of RBNs. Using computer simulations, we have found that the addition of …

致死基因型的存在促进了进化适应

Evolutionary adaptation is facilitated by the presence of lethal genotypes

本文研究了致死基因型在生物进化中的作用，发现在崎岖适应度景观和激烈资源竞争条件下，致死突变反而能通过降低对较不适应变体的选择压力、增加跨越适应度谷的速率，从而加速最佳适应基因型的进化。

存在上位性相互作用时的错误阈值

Error Thresholds in Presence of Epistatic Interactions

本文通过相变视角解释病毒群体中的错误灾难，证明其等价于铁磁-顺磁转变，并推广到上位性景观，发现类似的适应度转变，以敏感性突变和复制对称破缺为标志。

Predictability of the imitative learning trajectories

The fitness landscape metaphor plays a central role on the modeling of optimizing principles in many research fields, ranging from evolutionary biology, where it was first introduced, to management research. Here we consider the ensemble of trajectories of the imitative learning search, in which agents exchange information on their fitness and imitate the fittest agent in the population aiming at reaching the global maximum of the fitness landscape. We assess the degree to which the starting and ending points determine the learning trajectories using two measures, namely, the predictability th…

Dynamic landscape models of coevolutionary games

Players of coevolutionary games may update not only their strategies but also their networks of interaction. Based on interpreting the payoff of players as fitness, dynamic landscape models are proposed. The modeling procedure is carried out for Prisoner's Dilemma (PD) and Snowdrift (SD) games that both use either birth--death (BD) or death--birth (DB) strategy updating. The main focus is on using dynamic fitness landscapes as a mathematical model of coevolutionary game dynamics. Hence, an alternative tool for analyzing coevolutionary games becomes available, and landscape measures such as mod…

Bose-Einstein distribution, condensation transition and multiple stationary states in multiloci evolution of diploid population

The mapping between genotype and phenotype is encoded in the complex web of epistatic interaction between genetic loci. In this rugged fitness landscape, recombination processes, which tend to increase variation in the population, compete with selection processes that tend to reduce genetic variation. Here we show that the Bose-Einstein distribution describe the multiple stationary states of a diploid population under this multi-loci evolutionary dynamics. Moreover, the evolutionary process might undergo an interesting condensation phase transition in the universality class of a Bose-Einstein …