# Reaction norm models for the evaluation of reproductive and productive performance in Nellore cattle

## TL;DR

This study uses reaction norm models to assess how Nellore cattle perform in different environments, helping identify genetically robust sires for breeding.

## Contribution

The study applies reaction norm models to evaluate genotype × environment interactions in Nellore cattle for reproductive and productive traits.

## Key findings

- Most sires were classified as robust or extremely robust, showing stable rankings across environments.
- G×E effects were observed for subcutaneous fat thickness and scrotal circumference at 365 days.
- Heritability estimates were higher under favorable environmental conditions, especially for fat thickness.

## Abstract

This study evaluated genotype × environment interactions (G×E) in Nellore cattle for growth, reproductive, and carcass traits using reaction norm models. We analyzed the records of body weight and scrotal circumference at 12 and 18 months. (W365, W450, SC365, SC450), as well as loin eye area (LEA) and subcutaneous fat thickness (SFT), from herds across different Brazilian states were analyzed. A hierarchical one-step reaction norm model was applied, including fixed effects of contemporary groups (herd, year and season of birth, and sex), cow age at calving as a covariate, and random effects for additive genetics, permanent environment, and residuals. Bayesian inference with Gibbs sampling was used to estimate posterior distributions.Sires were classified according to environmental sensitivity into four categories: extremely robust, robust, plastic, and extremely plastic. For most traits, over 90% of sires were classified as robust or extremely robust, indicating stability of ranking across environments. Exceptions were observed for SFT and SC365, where lower correlations between extreme environmental gradients suggested G×E effects. Heritability estimates ranged from 0.07 to 0.32 for body weights and reached up to 0.76 for fat thickness, with higher values observed under more favorable environmental conditions. .These findings underscore the utility of reaction norm models for identifying environmentally robust sires under the variability of tropical production systems, thereby supporting more accurate and efficient selection decisions in genetic improvement programs.