2Dlattialle

2Dlattialle is a term used in theoretical population genetics and computational simulations to denote a locus or allele examined within a two-dimensional lattice framework. In this context, individuals occupy sites on a finite two-dimensional grid, and interactions occur primarily with neighboring sites. The 2Dlattialle allele can influence fitness, interaction strength, or dispersal propensity, with its effects propagating through the population via local reproduction and migration rules. The concept is typically explored in spatially structured models rather than well-mixed populations.

A common modeling approach places individuals on a lattice such as a square grid with periodic or fixed boundaries. Reproduction and replacement follow a local rule, often Moran-type, where an individual is chosen with probability proportional to fitness to reproduce into a neighboring site, replacing the occupant there. Offspring inherit the 2Dlattialle allele with possible mutation at rate μ. Fitness may depend on the local allele composition, enabling frequency-dependent selection or local kin interactions. Neighborhood definitions (von Neumann or Moore) and migration distance strongly influence dynamics.

Applications of 2Dlattialle models include studying spatial patterns of genetic variation, waves of advantageous alleles, fixation probabilities on structured populations, and the emergence of local adaptation under limited dispersal. They are used to compare outcomes with non-spatial models and to explore how lattice structure, boundary conditions, and neighborhood size shape evolutionary trajectories.

Limitations and variations exist, as the term is not universally standardized. Different studies may implement alternative neighborhood schemes, multi-locus extensions, or continuous traits, and results can be sensitive to lattice size and boundary effects. See also lattice population models, spatial genetics, and Moran or Wright-Fisher processes.