Nonlinear genotypic response to macro- and microenvironments

Abstract Environmental variation can be due to macro- and microenvironments. Whereas macroenvironments, such as climate, density, and nutritional levels, are distinguishable, microenvironments including external random errors or internal “accidents” of an organism cannot be well specified. A quantitative genetic model is proposed to estimate the genetic control of response of genotypes to these two kinds of environments. The model extends Gimelfarb’s additive-multiplicative model for genotype×environment interaction by considering both macro- and microenvironmental variation and the mechanistic basis of genotypic response to a particular macroenvironmental factor. It is further extended to estimate genetic correlations between quantitative traits under the additive-multiplicative model. An example from a forest tree was used to illustrate the application and power of the new model. In many aspects, the model displays remarkable advantages over the traditional analysis of variance used to study genotype×environment interaction.

[1]  A. D. Bradshaw,et al.  Evolutionary Significance of Phenotypic Plasticity in Plants , 1965 .

[2]  R. Lande,et al.  GENOTYPE‐ENVIRONMENT INTERACTION AND THE EVOLUTION OF PHENOTYPIC PLASTICITY , 1985, Evolution; international journal of organic evolution.

[3]  R Gomulkiewicz,et al.  Adaptive phenotypic plasticity: consensus and controversy. , 1995, Trends in ecology & evolution.

[4]  B. Marshall,et al.  A Model for C3 Leaves Describing the Dependence of Net Photosynthesis on Irradiance , 1980 .

[5]  Samuel M. Scheiner,et al.  The genetics of phenotypic plasticity. V. Evolution of reaction norm shape , 1993 .

[6]  B. Westcott.  Some methods of analysing genotype—environment interaction , 1986, Heredity.

[7]  R. Lewontin,et al.  The adaptations of populations to varying environments. , 1957, Cold Spring Harbor symposia on quantitative biology.

[8]  M. Turelli,et al.  Genotype-environment interactions and the maintenance of polygenic variation. , 1989, Genetics.

[9]  H. F. Robinson,et al.  Statistical genetics and plant breeding. , 1963 .

[10]  Additive-multiplicative approximation of genotype-environment interaction. , 1994, Genetics.

[11]  R. F. Lyman,et al.  The genetics of phenotypic plasticity. III. Genetic correlations and fluctuating asymmetries , 1991 .

[12]  D. Falconer,et al.  Introduction to Quantitative Genetics. , 1961 .

[13]  Fred A. van Eeuwijk,et al.  MULTIPLICATIVE INTERACTION IN GENERALIZED LINEAR MODELS , 1995 .

[14]  A. Hastings,et al.  A QUANTITATIVE‐GENETIC MODEL FOR SELECTION ON DEVELOPMENTAL NOISE , 1994, Evolution; international journal of organic evolution.

[15]  K. Mather,et al.  Genotype—environment interaction III. Interactions in Drosophila melanogaster , 1975, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[16]  A. Cahaner.  Genotype by environment interactions in poultry. , 1990 .

[17]  Michael F. Antolini.  I. REACTION NORMS , 1992 .

[18]  H. Koelewijn,et al.  Selection on reaction norms, genetic correlations and constraints. , 1994, Genetical research.

[19]  M. Kirkpatrick,et al.  QUANTITATIVE GENETICS AND THE EVOLUTION OF REACTION NORMS , 1992, Evolution; international journal of organic evolution.

[20]  W. A. Russell,et al.  Stability Parameters for Comparing Varieties , 1966 .

[21]  R. W. Allard,et al.  Implications of Genotype‐Environmental Interactions in Applied Plant Breeding1 , 1964 .

[22]  S. Via.  Adaptive Phenotypic Plasticity: Target or By-Product of Selection in a Variable Environment? , 1993, The American Naturalist.

[23]  J. Jinks,et al.  The genetic basis of environmental sensitivity , 1988 .

[24]  C. Schlichting.  Phenotypic Integration and Environmental ChangeWhat are the consequences of differential phenotypic plasticity of traits , 1989 .

[25]  R. Wu,et al.  Quantitative genetics of growth and development in Populus. II. The partitioning of genotype × environment interaction in stem growth , 1997, Heredity.

[26]  K. W. Finlay,et al.  The analysis of adaptation in a plant-breeding programme , 1963 .

[27]  J. Jinks,et al.  The assessment and specificity of environmental and genotype-environmental components of variability , 1973, Heredity.

[28]  A. W. Kemp,et al.  Kendall's Advanced Theory of Statistics. , 1994 .