Chapter 23 The Evolution of Populations Question? Is the unit of evolution the individual or the population? So what do we study? Population Genetics Modern Synthesis Population Species Gene Pool Microevolution Hardy-Weinberg Theorem Basic Equation Expanded Equation Genotypes Example Calculation Let’s look at a population where: A = red flowers a = white flowers Starting Population N = 500 Red = 480 (320 AA+ 160 Aa) White = 20 Total Genes = 2 x 500 = 1000 Dominant Allele A = (320 x 2) + (160 x 1) = 800 = 800/1000 A = 80% Recessive Allele a = (160 x 1) + (20 x 2) = 200/1000 = .20 a = 20% A and a in HW equation Cross: Aa X Aa Result = AA + 2Aa + aa Remember: A = p, a = q Substitute the values for A and a p2 + 2pq + q2 = 1 (.8)2 + 2(.8)(.2) + (.2)2 = 1 .64 + .32 + .04 = 1 Dominant Allele A = p2 + pq = .64 + .16 = .80 = 80% Recessive Allele a = pq + q2 = .16 + .04 = .20 = 20% Result Importance of Hardy-Weinberg Example PKU Frequency Dominant Allele Expanded Equation Final Results Practice Problem A fruit fly population has a gene with two alleles A1 & A2. 70% of the gametes produced in the population carry A1. What is the proportion of the population that are heterozygous? Practice Problem In a H-W population with two alleles, A & a, that are in equilibrium, the frequency of allele a is 0.7. What is the percentage of the population that is heterozygous for this allele? AP Problems Using Hardy-Weinberg for q2 (% of total). Solve for q (equation). Solve for p (1- q). H-W is always on the national AP Bio exam (but no calculators are allowed). Solve Hardy-Weinberg Assumptions If H-W assumptions hold true: Microevolution Causes of Microevolution Genetic Drift By Chance Bottleneck Effect Result Importance Founder's Effect Result Importance Gene Flow Result Mutations Result Nonrandom Mating Causes Result Natural Selection Comment Result Genetic Basis of Variation Polymorphism Examples Garter Snakes Gaillardia Human Example Other examples Quantitative Characters Yarrow and Altitude Sources of Genetic Variation Preserving Genetic Variation Example Result Comment Fitness - Darwinian Relative Fitness Rate of Selection Modes of Natural Selection Stabilizing Directional Selection Diversifying Comment Sexual Mate selection Result Comments Question Does evolution result in perfect organisms? Answer - No Evolution is limited by historical constraints Adaptations are often compromises. Chance, Natural selection and the environment all interact Selection can only act on existing variations Summary Know the difference between a species and a population. Know that the unit of evolution is the population and not the individual. Summary Know the H-W equations and how to use them in calculations. Know the H-W assumptions and what happens if each is violated. Summary Identify various means to introduce genetic variation into populations. Know the various types of natural selection.