Assignment • For modelling genetic drift with Markov chain: One locus with two alleles (S and F) with p representing the allele frequency of S. - Population size N=32 - All populations start to have 4 S alleles (and 60 F alleles), how many states (N.) are there? N₂ = • What is the transition probability from state 3 (having 3 S alleles) at time t to state 5 at t+1? ● Pr(3 → 5|n=? ,p=? ) =? ● • What is the proportion of populations expected to reach fixation for the Fallele (PF)? PF=

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.7: Applications
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• For modelling genetic drift with Markov chain:
- One locus with two alleles (S and F) with p representing
the allele frequency of S.
Population size N=32
- All populations start to have 4 S alleles (and 60 F alleles),
how many states (N) are there? N, =
• What is the transition probability from state 3 (having
3 S alleles) at time t to state 5 at t+1?
Pr(3 → 5|n =?
• What is the proportion of populations expected to
reach fixation for the Fallele (Pf)? Pp=
) =?
%D
,p =?
Name:
ID:
56
Transcribed Image Text:Assignment • For modelling genetic drift with Markov chain: - One locus with two alleles (S and F) with p representing the allele frequency of S. Population size N=32 - All populations start to have 4 S alleles (and 60 F alleles), how many states (N) are there? N, = • What is the transition probability from state 3 (having 3 S alleles) at time t to state 5 at t+1? Pr(3 → 5|n =? • What is the proportion of populations expected to reach fixation for the Fallele (Pf)? Pp= ) =? %D ,p =? Name: ID: 56
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