Heritability Estimation Methods

Jun 11, 2025

Overview

This lecture covers key quantitative genetic methods for estimating heritability, focusing first on laboratory breeding designs, then introducing a more advanced method for wild populations, and discussing the challenges posed by environmental effects.

Methods to Estimate Heritability in the Lab

  • Quantitative genetics aims to measure resemblance among relatives to estimate additive genetic variance and heritability.
  • Parent-offspring regression quantifies resemblance between parent traits and offspring traits using linear regression; the slope estimates narrow-sense heritability.
  • Example: In birds, a regression slope of 0.5 for tarsus length means heritability is 0.5 (50% of variance is additive genetic).
  • Paternal half-sibling analysis examines trait similarity among offspring from one father and different mothers to isolate additive genetic effects.
  • Full siblings share both genetic and environmental factors, making it hard to separate genetic from environmental effects.
  • Paternal half-siblings share only paternal genes, and usually grow up in different environments, so similarities are genetic.
  • A formal paternal half-sib breeding design (nested design) involves mating each sire to multiple dams and measuring offspring traits.
  • Analysis of variance (ANOVA) partitions trait variance into components: sire (genetic), dam (maternal), and within-family (error).
  • Additive genetic variance (VA) is estimated by multiplying the sire component by four.
  • Total phenotypic variance (VP) equals the sum of sire, dam, and within-family variances.
  • Narrow-sense heritability (h²) is calculated as VA divided by VP.

Advanced Breeding Designs

  • Cross-classified (factorial) breeding designs, like the North Carolina II design, cross each sire with multiple dams and vice versa.
  • This design allows estimation of both paternal and maternal genetic effects, and non-genetic maternal influences.
  • The difference between paternal and maternal components reveals maternal environmental effects (e.g., egg size).
  • Interaction between sire and dam effects can indicate genetic compatibility between parents.
  • This design works best with externally fertilizing species where eggs and sperm can be split among multiple crosses.
  • It's especially useful for fish and other broadcast spawners.

Key Terms & Definitions

  • Parent-offspring regression — A method using regression to estimate heritability by comparing parent and offspring traits.
  • Paternal half-sibling design — Breeding design to estimate genetic variance by comparing offspring from one sire with multiple dams.
  • Additive genetic variance (VA) — Genetic variance attributed to additive effects of genes.
  • Total phenotypic variance (VP) — Overall variance in a trait within a population.
  • Narrow-sense heritability (h²) — Proportion of phenotypic variance due to additive genetic variance (h² = VA / VP).
  • Nested design — Experimental design where dams are nested within sires.
  • Cross-classified design — Design where multiple sires and dams are crossed in all combinations.
  • Maternal effect — Non-genetic influence of the mother on offspring traits.

Action Items / Next Steps

  • Read suggested material for deeper understanding of quantitative genetic designs and their underlying assumptions.
  • Prepare for the next segment on methods for estimating quantitative genetic parameters in natural populations.