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Conditioning on the causal network prevents indirect response to selection.

Martin Bonamy1,2, María Elena Fernández2, Guillermo Giovambattista2

  • 1Cátedra de Producción de Bovinos, Departamento de Producción Animal, Facultad de Ciencias Veterinarias, Universidad Nacional de La Plata (UNLP), La Plata, Argentina.

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Structural equation models (SEM) offer a more accurate approach than multiple trait animal models (MTM) for estimating breeding values (EBV) in causal networks. SEM improves selection response, especially for upstream traits, by correctly interpreting causal relationships.

Keywords:
breeding value estimationcausal coefficientsmultiple trait modelsstructural equation models

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Area of Science:

  • Animal genetics
  • Quantitative genetics
  • Statistical modeling

Background:

  • Multiple trait animal models (MTM) estimate breeding values (BV) considering genetic and environmental correlations.
  • Causal relationships among traits may necessitate a different approach, such as structural equation models (SEM).
  • While parametrically equivalent, MTM and SEM yield EBVs that require different interpretations.

Purpose of the Study:

  • To investigate the impact of MTM vs. SEM on selection response in a five-trait causal network.
  • To compare selection outcomes for traits at different positions (upstream, midstream, downstream) within the causal network.
  • To evaluate scenarios with purely causal relationships and combined causal and genetic correlations.

Main Methods:

  • Stochastic simulation experiment to model a five-trait causal network.
  • Application of both MTM and SEM for estimating breeding values.
  • Analysis of selection response under different selection targets and network structures.

Main Results:

  • MTM absorbed causal relationships as genetic correlations, altering selection response compared to SEM.
  • No differences in selection response were observed when targeting the top trait.
  • Significant differences emerged for upstream traits when targeting midstream or downstream traits.
  • SEM reduced indirect response in upstream traits when both causal effects and genetic correlations were present.

Conclusions:

  • SEM provides a more accurate interpretation of EBVs in causal networks, leading to improved selection response.
  • The choice between MTM and SEM significantly impacts selection outcomes, particularly for traits influenced by upstream factors.
  • SEM is crucial for accurately dissecting direct and indirect selection responses in complex genetic architectures.