Quantitative Genetics of reaction norms
Version of Record online: 19 DEC 2002
Journal of Evolutionary Biology
Volume 3, Issue 5-6, pages 447–468, September 1990
How to Cite
De Jong, G. (1990), Quantitative Genetics of reaction norms. Journal of Evolutionary Biology, 3: 447–468. doi: 10.1046/j.1420-9101.1990.3050447.x
- Issue online: 19 DEC 2002
- Version of Record online: 19 DEC 2002
- Received 12 June 1989; accepted 9 February 1990.
- Cited By
- Phenotypic plasticity;
- environmental dependence;
- genetic (co)variance;
- developmental constraint
A model of the quantitative genetics of phenotypically plastic characters is developed. When genotype-environment interaction is present, and the allelic effects contributing to any two traits are linear functions of the environment, the additive genetic variances of, and additive genetic covariance between, traits become quadratic functions of the environmental variable. The additive genetic covariance will in general change sign over some range of the environmental variable. The conditions of the mathematically special case, where additive genetic covariance has the same sign in all environments, imply structure in the pleiotropic effects of any alleles, i.e. developmental constraints can prevent additive genetic covariance changing sign. Mathematical independence of polygenic effects between traits represents in this model a lack of developmental constraints and leads to sign change in the additive genetic covariance over environments.