Additive genetic effects¶
Allelic contributions to a quantitative phenotype that combine linearly across copies and loci under a declared population and environmental model.
Core Idea¶
Additive effects are the components captured by average allele substitution effects and additive genetic variance, in contrast to dominance within loci and epistasis across loci. Genotypic values are projected onto allele-count predictors in a population; fitted substitution effects sum to breeding values and transmit predictably through random mating under the model. 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.
Scope of Application¶
Additive genetic effects belongs to quantitative genetics and is useful where the analyst can specify the typed quantitative genetics carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate the population, allele coding, phenotype scale, environment, substitution-effect definition, and variance decomposition are explicit and the modeled contribution is linear in allele counts. The scope is broad within that domain but bounded by the need for the population, allele coding, phenotype scale, environment, substitution-effect definition, and variance decomposition are explicit and the modeled contribution is linear in allele counts. Descriptive quantitative-genetic identity only; it is not medical, reproductive, ancestry, breeding, or clinical interpretation advice.
Clarity¶
The abstraction clarifies a crowded vocabulary by making the population, allele coding, phenotype scale, environment, substitution-effect definition, and variance decomposition are explicit and the modeled contribution is linear in allele counts the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test. A bare label is insufficient because the name Additive genetic effects can be used for a formal identity, an implementation, or a neighboring result unless carrier and convention are stated.
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 Additive genetic effects. Additive genetic effects 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 quantitative genetics carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem. 2. Lock the constitutive rule. Express the population, allele coding, phenotype scale, environment, substitution-effect definition, and variance decomposition are explicit and the modeled contribution is linear in allele counts independently of one notation or implementation.
Knowledge Transfer¶
Knowledge transfers strongly among subfields of quantitative genetics because they reuse the typed quantitative genetics carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, Genotypic values are projected onto allele-count predictors in a population; fitted substitution effects sum to breeding values and transmit predictably through random mating under the model., and type the carrier, state every parameter and convention in the definition, test that the population, allele coding, phenotype scale, environment, substitution-effect definition, and variance decomposition are explicit and the modeled contribution is linear in allele counts, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.
Relationships to Other Abstractions¶
Current abstraction Additive genetic effects Domain-specific
Parents (1) — more general patterns this builds on
-
Additive genetic effects is a kind of Aggregation Prime
The proposed strict upward parent is
prime:aggregation.
Hierarchy path (1) — routes to 1 parentless root
- Additive genetic effects → Aggregation → Micro Macro Linkage
Neighborhood in Abstraction Space¶
Additive genetic effects sits in a crowded region of the domain-specific corpus (25th percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.
Family — Regression, Genetics & Interaction Models (10 abstractions)
Nearest neighbors
- Infinitesimal model — 0.95
- General selection model — 0.92
- Selection limits — 0.92
- Polygenic adaptation — 0.91
- Complex segregation analysis — 0.90
Computed from structural-signature embeddings · 2026-09-08