TABLE 1.
i, j, k | Indices for loci; j and k are selected loci, and i modifies the recombination rate between j and k | |
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pl, ql = 1 − pl | Frequency of allele 1 (pl) and of allele 0 (ql) at locus l | |
Xl, Xl* | Indicator variables that equal 1 if allele 1 is present at locus l on the maternally inherited chromosome (Xl) or paternally inherited chromosome Xl* of a given individual and 0 otherwise |
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ζl = Xl − pl | Scaled indicator variable | |
ζU | Product of ζ-variables over the set of loci U | |
CU, CUH | Genetic association between loci in the set U during the haploid phase (in the gametophytic selfing model), before and after haploid selection |
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CU,VS, CU,VD | Genetic association between loci in the sets U and V on homologous chromosomes of diploid individuals, before and after diploid selection (in the sporophytic selfing model, CU,VS is noted CU,V) |
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aUH, eUH | Effect of haploid selection acting on the set of loci U (in the gametophytic selfing model) and epistasis between these loci on a multiplicative scale |
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aU,VD, eU,VD | Effect of diploid selection acting on the sets of loci U and V present on homologous chromosomes and epistasis between these loci on a multiplicative scale; D superscripts are dropped in the sporophytic selfing model |
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s | Direct selection acting on loci j and k, under the fitness matrix given by Table 2 | |
h | Dominance of alleles 1 at loci j and k, under the fitness matrix given by Table 2 | |
ea×a, ea×d, ed×d | Additive × additive, additive × dominance, and dominance × dominance epistasis between loci j and k, under the fitness matrix given by Table 2 |
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α | Rate of self-fertilization (either gametophytic or sporophytic) | |
rij, rjk | Recombination rate between loci i and j and between loci j and k (without modifier) | |
dr | Effect of the modifier on rjk | |
hM | Dominance of allele 1 at the modifier locus (locus i) | |
tS,T | Probability that a gamete produced by an individual contains the set S of loci derived from one of its parents and the set T from the other |
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|
Population average of tS,T | |
δtS,T|i, δtS,T|i,i | Additive effect of the modifier on tS,T and effect of dominance at the modifier locus | |
ε | Scaling factor |