1. Calculate the change in allele frequency under the island-contiinent model fo
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Question
1. Calculate the change in allele frequency under the island-contiinent model for gene flow under the following two conditions:
m=0.5, PI=0.2, PC=0.9
m=0.5, PI=0.85, PC=0.9
What is happening to the frequency of the allele on the island and what will be the eventual outcome? In which case is the rate of change slower and explain why?
2. Calculate the change in allele frequency under the island-continent model for gene flow under the following two conditions:
m=0.1, PI=0.2, PC=0.9
m=0.9, PI=0.2, PC=0.9
What is happening to the frequency of the allele on the island and what will be the eventual outcome? In which case is the rate of change slower and explain why?
Explanation / Answer
1)
Based on the given data,
PI = frequency of A on island
Pc = frequency of A on continent
m = Part of island population from the continent
The data is,
m=0.5, PI=0.2, PC=0.9
The formula for calculation of frequency of “A” on the island after migration:
pI* = (1-m)pI+ mpC
Where, (1-m) is A fraction of alleles on the island originated on the island and pI* is frequency of allele A.
pI* = (1-0.5)0.2 + 0.5×0.9
pI* = 0.55
The next generation data is, m=0.5, PI=0.85, PC=0.9
The formula for calculation of Change on island from one generation to the next is:
DpI= pI* - pI= (1-m)pI+ mpC–pI
DpI = (1-0.5) 0.85+ 0.5×0.9 – 0.85
DpI = 0.025
The change in the allele frequency is 0.025.
2)
Based on the given data,
PI = frequency of A on island
Pc = frequency of A on continent
m = Part of island population from the continent
The data is,
m=0.1, PI=0.2, PC=0.9
The formula for calculation of frequency of “A” on the island after migration:
pI* = (1-m)pI+ mpC
Where, (1-m) is A fraction of alleles on the island originated on the island and pI* is frequency of allele A.
pI* = (1-0.5)0.2 + 0.5×0.9
pI* = 0.55
The next generation data is, m=0.9, PI=0.2, PC=0.9
The formula for calculation of Change on island from one generation to the next is:
DpI= pI* - pI= (1-m)pI+ mpC–pI
DpI = (1-0.9) 0.2+ 0.9×0.9 – 0.2
DpI = 0.63
The change in the allele frequency is 0.63.
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