Maths (yuck)

Question 1

What is Hamilton’s rule?

Answer 1

rB>rC

relatedness to offspring x benefit of saving them (how many saved)

must be greater than

relatedness to own offspring x cost of losing them (how many lost)

Question 2

What is the mathematical expression of growth rate?

Answer 2

r = b - m

Growth rate (r) is determined by vital rates; birth rate (b) and death rate (m)

Is per capita growth: individuals/individual/unit of time

Question 3

How is number of births in a population expressed?

Answer 3

B = bN

Births = birth rate x population size

Question 4

How is number of deaths in a population expressed?

Answer 4

D = mN

Deaths = death rate x population size

Question 5

What is rmax?

Answer 5

The intrinsic rate of growth - which is the largest theoretical population growth possible

Question 6

What is K?

Answer 6

The carrying capacity of a population

Question 7

What is the population equation?

Answer 7

dN/dt = (rmax)(N)(K-N/K)

This equation multiplies growth effects by how close you are to the carrying capacity.

Question 8

What is the Hardy-Weinberg law?

Answer 8

p^2 + 2pq + q^2 = 1

Where:
p^2 = homozygous dominant
2pq = heterozygotes
q^2 = homozygous recessive

Question 9

What information does the Hardy-Weinberg law give?

Answer 9

Genotype frequencies

Question 10

What is the equation for allele frequencies?

Answer 10

p + q = 1

Where:
p = dominant allele
q = recessive allele