7. Derive an equation that predicts the expected genotypes for a single locus un

Question

7. Derive an equation that predicts the expected genotypes for a single locus under the assumptions of Hardy Weinberg Equilibrium if there are four alleles present in the population. 8. Populations of salamanders in the Highbanks Metropark are potentially inbred because they are isolated from their conspecifics by inhospitable urban habitat. The color morph of one species is controlled by a single genetic locus with allele frequencies of C1-0.65 and C2-0.35. (a) if 36.4% of the salamanders are heterozygous at this locus, can you conclude that this population is inbred? 9, In the Highbanks salamander population (#6), if the observed heterozygosity is a4 and the inbreeding coefficient is 0.9, what would we expect the heterorygosity to be if the population did not experience inbreeding? 10. A population of bats lives on an island in Lake Erie. In the state of Ohio, allele frequencles at a particular locus are A1-0.9 and A2 0.1, but frequencies of the A1 allele on the island are only 0.5 (a) Assuming a steady rate of migration where 1% of the insular population is composed of migrant indlviduals in a generation, how would the frequency of A1 change on the island? (b) What is the per-generation rate of change? (c) If there is back migration from the island to the main population, would the allele frequencies in Ohio proper be changed by migration from the island? 11. Slugs are sampled in two populations, one in the Cascades range and one in the Northern Rocky Mountains. Allele frequencles at a particular locus are as follows: Cascades A1-0.5, A2-0.4, A3-0.1 Northern Rocky Mountains A1.0.4, A2-03, A3- (a) What are the expected genotype frequencies for the population as a whole? (b) What are the expected genotype frequencies in the two populations Independently? (c) Is the population as a whole in Hardy Weinberg Equilibrium? 12. Mountain lions in North America occupy habitat patches that are isolated from one another by inhospitable habitat. In large populations found in the western United States that are effectively outbred, w-0.8. However, smaller populations in southern Florida have a w 0.5 (a) Calculate the degree of inbreeding depression in the Florida population

Explanation / Answer

7) If there are four alleles, the allele frequency according to Hardy-Weinbergs equilibrium is as follows,

p + q + r + s = 1

Then, the genotypic frequencies can be calculated as follows,

= (p+q+r+s)^2

= p^2 + 2pq + 2pr + 2ps + q^2 + 2qr + 2qs + r^2 + 2rs + s^2

Thus there are 10 different genotypes if there are four alleles.

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