This research focuses on analyzing selection amplifiers in population genetics. Since the structure of a population graph can influence selection, this paper focuses on finding undirected graphs that can amplify selection. To clearly demonstrate the idea, the paper will briefly discuss the basic Moran model at first. Then it will analyze the star graph as an example of selection amplifiers that...

Numerous investigators have emphasized how important it is for both researchers and applied practitioners in the field of performance psychology to have a sound theoretical base that guides their work (Moran, 1996; Abernethy, 1993; Druckman & Swets, 1988). This is especially true in the cognitive area where Moran maintains that “research on concentration in athletes has been conducted largely i...

To understand inferences based on sampling random relationships among a small sample of individuals of a contemporary population we need to know some basic models of population history. Several such models exist. Fisher (1929, and 1930) and Wright (1931) developed independently a simple population model. We call this model the Wright-Fisher population model. Alternatives are the Moran model, de...

We study the asymptotics of the extended Moran model as the total population size N tends to infinity. Two convergence results are provided, the first result leading to discrete-time limiting coalescent processes and the second result leading to continuous-time limiting coalescent processes. The limiting coalescent processes allow for multiple mergers of ancestral lineages (Λ-coalescent). It is...