In: Statistics and Probability
In a single population of locusts, the mean wing length is 47 mm, the selection gradient on wing length is ? = 0.12/mm, the phenotypic variance for wing length is P = 3.6 mm2, and the heritability of wing length is h2 = 0.27. In addition, we know that the additive genetic covariance between wing and leg length is 0.60 mm2.
a) What is the expected evolutionary change in mean leg length due to selection on wings?
b) What is the expected evolutionary change in mean leg length due to selection on both wings and legs?
c) Repeat these calculations to predict what will happen to wing length as a result of the selection on both wings and legs. What do you predict the average wing and leg lengths will be in the next generation?
d) Why do your predictions in b, c, and d differ? Explain, using evolutionary language.
e) Is evolution occurring? Describe and explain, using evidence from your calculations.