Question

Part 1 Consider the following three populations, each followed over 4 generations Population 1: N = 150, 250, 150, 250 Population 2: N = 100, 300, 100, 300 Population 3: N = 260, 260, 20, 260 For each case: 1) Plot population size over time. 2) Calculate, and indicate on the plot, a) The arithmetic mean population size. b) The effective population size. Part 2 Calculate the effective population sizes for the following numbers of breeding individuals: a) 50 males, 50 females b) 25 males, 75 females c) 10 males, 90 females

Answer 1

Graph 1

Population Vs. Time 2 160 180 200 220 240 Population

Graph 2

Population Vs. Time 3 2 300 250 200 150 100 Population Generation

​​​​Graph 3

Population Vs. Time 4 L... 2 1 0 100 150 200 250 Population Generation 50

Effective population size is the sum of all populations given. It is an ideal population size.

Mean population size is the ratio of effective population size to the number of generations.

Case	effective population size (add all given populations)	mean population size (effective population size/4)
1	800	200
2	800	200
3	800	200

Effective and mean population size 800 effective size L "mean size 600 400 200 0 Case 1 Population size

All the three cases will have same graph for effective and mean population size.

Part 2

Effective population size = 4(number of breeding males)(number of breeding females)/number of breeding males + number of breeding females

A. 4(50)(50)/50+50 = 10,000/100 = 100

B. 4(25)(75)/25+75 = 7500/100 = 75

C. 4(10)(90)/10+90 = 3200/100 = 32

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