General selection model¶

A population-genetic recurrence describing allele-frequency change from genotype-specific relative fitnesses.

Version: v2 · 2026-09-19 · History
Domain-specific #: 4689
Domain group: Natural Sciences
Origin domain: Biology & Ecology
Subdomain: Population Genetics → Biology & Ecology

Core Idea¶

The basic two-allele diploid model assumes a declared mating and viability scheme, generation timing and no omitted forces; dominance and frequency dependence enter through fitness assignments. Genotype frequencies are formed from allele frequencies, weighted by survival or reproductive fitness, normalized by mean fitness and projected back to the next generation’s allele frequencies. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.

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Frog Color Counting

Imagine a pond of frogs where each frog carries two copies of a color instruction, green or brown. If brown frogs survive better, more of the next frogs get brown instructions. Scientists use a counting rule to guess how common each instruction will be in the next batch of baby frogs.

Next-Generation Gene Calculator

In living things, each animal gets one copy of a gene version from each parent, and there might be two versions, A and a. The General selection model starts with how common each version is, figures out how many animals have AA, Aa, or aa, and then gives each group a score for how well it survives or reproduces. Using those scores, it calculates how common each version will be in the next generation. It leaves out other things that change genes, like new mutations, animals moving in, or pure luck, so we can see selection by itself.

Two-Allele Selection Recurrence

The general selection model tracks how natural selection changes allele frequencies at one gene with two alleles in a diploid population. From the allele frequencies, it forms genotype frequencies under a stated mating scheme, then multiplies each by its fitness—survival or reproductive success. Dividing by the population's mean fitness keeps the frequencies adding to one, giving the next generation's allele frequencies. Dominance and frequency-dependent selection enter through how fitnesses are assigned to the genotypes. The model deliberately leaves out mutation, migration, and drift, and must state its timing and mating assumptions. Iterating it shows where frequencies settle, called equilibria.

The General selection model describes allele-frequency change at a single diploid locus with two alleles under natural selection. Given allele frequencies and a declared mating scheme, genotype frequencies are computed, multiplied by genotype fitnesses representing viability or reproduction, and normalized by the mean fitness. This yields a recurrence (or delta) equation projecting allele frequencies into the next generation. Dominance relations and frequency dependence enter through the fitness assignments rather than as separate forces. Generation timing must be specified, and mutation, migration and drift are explicitly excluded. From the recurrence one can analyze equilibria and their stability. A model qualifies as this one only when population, locus, alleles, ploidy, mating, fitnesses, timing, mean fitness and exclusions are made explicit.

Scope of Application¶

General selection model belongs to population genetics and is useful where the analyst can specify the typed population genetics carrier, including objects, relations, parameters, conventions, evidence, and comparison cases, then evaluate the population and locus, alleles and frequencies, ploidy and mating assumptions, genotype fitnesses and timing, mean fitness, recurrence or delta equation, dominance, equilibria and excluded mutation migration and drift are explicit. The scope is broad within that domain but bounded by the need for the population and locus, alleles and frequencies, ploidy and mating assumptions, genotype fitnesses and timing, mean fitness, recurrence or delta equation, dominance, equilibria and excluded mutation migration and drift are explicit. High-level population-genetics model only; no breeding, culturing or genetic manipulation procedure is provided.

Clarity¶

The abstraction clarifies a crowded vocabulary by making the population and locus, alleles and frequencies, ploidy and mating assumptions, genotype fitnesses and timing, mean fitness, recurrence or delta equation, dominance, equilibria and excluded mutation migration and drift are explicit the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test.

Manages Complexity¶

Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to General selection model. General selection model compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.

Abstract Reasoning¶

Identify the carrier. State what the elements, states, objects, or observations are: the typed population genetics carrier, including objects, relations, parameters, conventions, evidence, and comparison cases. Reject examples whose alleged carrier belongs to a different problem.
Lock the constitutive rule. Express the population and locus, alleles and frequencies, ploidy and mating assumptions, genotype fitnesses and timing, mean fitness, recurrence or delta equation, dominance, equilibria and excluded mutation migration and drift are explicit independently of one notation or implementation.

Knowledge Transfer¶

Knowledge transfers strongly among subfields of population genetics because they reuse the typed population genetics carrier, including objects, relations, parameters, conventions, evidence, and comparison cases, Genotype frequencies are formed from allele frequencies, weighted by survival or reproductive fitness, normalized by mean fitness and projected back to the next generation’s allele frequencies., and type the carrier, state every parameter and convention in the definition, test that the population and locus, alleles and frequencies, ploidy and mating assumptions, genotype fitnesses and timing, mean fitness, recurrence or delta equation, dominance, equilibria and excluded mutation migration and drift are explicit, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.

Relationships to Other Abstractions¶

Current abstraction General selection model Domain-specific

Parents (1) — outgoing typed relations

General selection model is a kind of Natural Selection Prime

It remains its own entry because its identity is fixed by the population and locus, alleles and frequencies, ploidy and mating assumptions, genotype fitnesses and timing, mean fitness, recurrence or delta equation, dominance, equilibria and excluded mutation migration and drift.

Hierarchy path (1) — routes to 1 parentless root

General selection model → is a kind of Natural Selection → is a kind of Selection

Neighborhood in Abstraction Space¶

General selection model sits in a crowded region of the domain-specific corpus (9^th percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.

Family — Population Genetics & Evolutionary Dynamics (30 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-25