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...

The Moran process, as studied by Lieberman, Hauert and Nowak (2005) [1] , is a birth-death process that models the spread of mutations in two-type populations (residents-mutants) whose structure defined digraph. process' central notion probability randomly placed mutant will occupy whole vertex set (fixation probability). We extend this model considering type-specific graphs, consequently prese...

Morphometric characters of the adult males of the Tai-Phake and the nature and extent of morphometric variation among five neighboring mongoloid groups of Assam have been examined in the present study. For the sake of investigation 12 anthropometric measurements have been taken and five indices have been calculated. In order to obtain the distance values size, shape and biological distance are ...

Configurational arrangement of network architecture and interaction character of individuals are two most influential factors on the mechanisms underlying the evolutionary outcome of cooperation, which is explained by the well-established framework of evolutionary game theory. In the current study, not only qualitatively but also quantitatively, we measure Moran-evolution of cooperation to supp...