Journal ArticleDOI
Effects of competition on means, variances and covariances in quantitative genetics with an application to general combining ability selection
TLDR
This approach reveals a new application of coefficients of kinship, and some consequences of interest to plant breeding are discussed by an application to general combining ability selection.Abstract:
General expressions are established for means, variances and covariances, taking into account the effect of interactions between individuals. For simplicity, only groups of size two are considered so that interactions are restricted to pairs of individuals; genetic effects are reduced to additivity and to additive × additive interaction between the direct effect of an allele and the associate effect of another. The effect of family structure is studied, and some consequences of interest to plant breeding are discussed by an application to general combining ability selection. From a population genetic point of view, this approach reveals a new application of coefficients of kinship.read more
Citations
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Journal ArticleDOI
Estimation of heritability and prediction of selection response in plant populations
TL;DR: A unified presentation, a synthesis, and an evaluation of the methods employed in the estimation of heritability in plants are presented, discussing the use of both collateral and lineal relatives and the biases present in the estimators.
Journal ArticleDOI
Incorporation of Competitive Effects in Forest Tree or Animal Breeding Programs
TL;DR: Results demonstrate that the traditional D-BLUP approach without associative effects not only is detrimental to response to selection but also compromises the well-being of animals, and shows that competitive effects can be included in breeding programs, without measuring new traits, so that costs of the breeding program need not increase.
Competition and its consequences for selection in barley breeding
TL;DR: A mathematical model is introduced that defines the influence of intergenotypic competition and density of stand on the response to selection and it is verified with the results of mixtures and monocultures of barley varieties.
Journal ArticleDOI
Bias in genetic variance estimates due to spatial autocorrelation.
TL;DR: Results from 768,000 simulated family trials in complete randomized block designs demonstrated a serious upward bias in estimates of family variance components from multi-unit plot designs when the phenotypic observations were compatible with a first-order autoregressive (AR1) process.
Journal ArticleDOI
Genetic analysis of plant mixtures.
TL;DR: The study demonstrated the suitability of the theoretical group gene model for describing complexities inherent in plant mixtures and identified statistically significant temperature-and nutrient-dependent forms of heterosis.
References
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Journal ArticleDOI
Selection in Reference to Biological Groups I. Individual and Group Selection Applied to Populations of Unordered Groups
TL;DR: A selection theory designed to accommodate interactions among genotypes is presented andGene models are developed which consist not only of direct contributions of the genotypes they represent but also of associate effects from other genotypes in the group.
Journal ArticleDOI
Regression analysis of interactions between competing species
E L Breese,J Hill +1 more
TL;DR: The method of investigating interactions in two-way tables by the regression analysis introduced by Yates and Cochran (1938) has been applied to data from competition diallel experiments with plant species reported by Williams and Norrington-Davies (1962 and 1968).
Journal ArticleDOI
Selection in Reference to Biological Groups III. Generalized Results of Individual and Group Selection in Terms of Parent-Offspring Covariances
TL;DR: Transference of the model-building unit from that of the gene to that ofThe entire genotype permits the consequences of individual and group selection to be given in terms of parent-offspring covariances.
Journal ArticleDOI
Covariances entre apparentés quelconques avec linkage et épistasie. I. – Expression générale
TL;DR: L’effet combiné du linkage et de l’épistasie sur les statistiques caractéristiques d’une population peut alors être précisé.