#note Population Genetics A Concise Guide (18)

This is a note for the book Population Genetics: A Concise Guide (Second Edition).

Page 31

Problem 2.9 Graph -Δ_NH and Δ_uH as function of H for N = 10⁴ and u = 5×10^-5. Do the lines intersect where you expect them to?

Note:

$-\Delta_{N}H = \frac{1}{2N}H ,\Delta_{u}H = 2u(1-H)$

from matplotlib import pyplot as plt

def f(H):
   return H/(2*10000) #genetic drift

def g(H):
   return 2*0.00005*(1-H) #mutation

plt.plot(t, f(t) , color='red')
plt.plot(t, g(t) , color='blue')
plt.show()

Output:

In this situation, 4Nu = 4×10⁴x10^-5 = 2, when H > 2/3, genetic drift dominates mutation and genetic variation is eliminated from the population, while when H < 2/3, mutation dominates genetic drift.

Leave a Comment Cancel Reply