and asymmetric mutation for conservation biology? Can you set up the problem
without making explicit use of the Hardy–Weinberg law?
Use this model to introduce survival and fertility rates for the genotypes and
combine these rates to form a fitness measure. Together with mutation these effects
consort to give the new genotype frequencies. Geneticists and conservation biologist think the existence of the heterozygote, the AB genotype, is a measure of health
of the system of genotypes. The strength of its presence is sometimes referred to as
“Hybrid vigor” and is obviously desired as it carries both alleles.
12.2 Mating and Mutation of Alleles Model Equations
AA_GENOTYPE(t) ¼ AA_GENOTYPE(t À dt) + (Δ_AA_GENOTYPE À
AA_REMATE) * dt
INIT AA_GENOTYPE ¼ 0
INFLOWS:
Δ_AA_GENOTYPE ¼ TOTAL_ALLELES/2 * A_FREQ^2
OUTFLOWS:
AA_REMATE ¼ AA_GENOTYPE
AB_GENOTYPE(t) ¼ AB_GENOTYPE(t À dt) + (Δ_AB_GENOTYPE À
AB_REMATE) * dt
INIT AB_GENOTYPE ¼ 0
INFLOWS:
Δ_AB_GENOTYPE ¼ 2 * TOTAL_ALLELES/2 * A_FREQ * (1 À A_FREQ)
Fig. 12.4
102
12 Mating and Mutation of Alleles
without making explicit use of the Hardy–Weinberg law?
Use this model to introduce survival and fertility rates for the genotypes and
combine these rates to form a fitness measure. Together with mutation these effects
consort to give the new genotype frequencies. Geneticists and conservation biologist think the existence of the heterozygote, the AB genotype, is a measure of health
of the system of genotypes. The strength of its presence is sometimes referred to as
“Hybrid vigor” and is obviously desired as it carries both alleles.
12.2 Mating and Mutation of Alleles Model Equations
AA_GENOTYPE(t) ¼ AA_GENOTYPE(t À dt) + (Δ_AA_GENOTYPE À
AA_REMATE) * dt
INIT AA_GENOTYPE ¼ 0
INFLOWS:
Δ_AA_GENOTYPE ¼ TOTAL_ALLELES/2 * A_FREQ^2
OUTFLOWS:
AA_REMATE ¼ AA_GENOTYPE
AB_GENOTYPE(t) ¼ AB_GENOTYPE(t À dt) + (Δ_AB_GENOTYPE À
AB_REMATE) * dt
INIT AB_GENOTYPE ¼ 0
INFLOWS:
Δ_AB_GENOTYPE ¼ 2 * TOTAL_ALLELES/2 * A_FREQ * (1 À A_FREQ)
Fig. 12.4
102
12 Mating and Mutation of Alleles