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Post- Modern Synthesis: Genomic Conflict as a Driving Force in Evolution • • • • Meiotic-drive alleles (segregation distorters) Transposable elements Genomically-imprinted genes Organelle genes vs. nuclear genes (in mitochondria and chloroplasts) • Cellular endosymbionts (e.g., Wolbachia) • Selection on selfish genetic elements counterselection for suppression perpetual antagonistic coevolution EVOLUTIONARY ARMS RACE • Tug of war metaphor borrowed from David Haig’s work on genomic imprinting (parent-of-origin gene expression) • Loss of tension breakdown in normal function 1 Most of the eukaryotic genome consists of transposable elementderived sequences which do not code for proteins useful to their vehicles 2 The Evolution of Populations I • Genetic variation is the raw material of evolutionary change; how do we measure it? • What are the forces that cause genetic changes within populations, that is, what are the forces of evolution? Evolution in Mendelian Populations • Evolution can be defined as a change in gene frequency through time. Population genetics tracks the fate, across generations, of Mendelian genes in populations. Population genetics is concerned with whether a particular allele or genotype will become more or less common over time, and why. 3 What is a Population? • A group of individuals in a particular place that mate with each other and produce fertile offspring, i.e., they interbreed; e.g., population of coyotes in Washoe Valley • A geographic population extends over so great an area that its members in some places are unlikely to mate with those in other places (e.g., coyotes in Maine & Nevada) • A locally interbreeding group within a geographic population may be called a subpopulation, deme or Mendelian population Basic Definitions • Gene pool: the sum total of genetic information present in a population at any given point in time • Gene (Allele) frequency: the relative proportion of a particular allele at some gene locus (a number between 0 and 1, inclusive) • Genotype frequency: the relative proportion of a particular genotype (a number between 0 and 1, inclusive) Calculating allele frequencies allows us to quantify and better understand precisely what genetic variation is, and how evolution works. 4 How do We Calculate Allele Frequencies? • Assume 2 alleles, A, a • Yields 3 genotypes, AA, Aa, aa • NUMBERS of individuals, genotypes and alleles in upper case; frequencies in lower case • NAA = number of individuals of genotype AA • NAa = number of individuals of genotype Aa • Naa = number of individuals of genotype aa • NAA + NAa + Naa = N = the total number of individuals in the population sampled Genotype Frequencies: with Incomplete Dominance, They Can be Observed Directly • Frequency of AA = NAA/N = nAA • Frequency of Aa = NAa/N = nAa • Frequency of aa = Naa/N = naa 5 Allele Frequencies: Must be Calculated from Genotypic Frequencies • Let the frequency of A = p • and the frequency of a = q …. then • p = (2NAA + NAa)/2N = (NAA + 0.5NAa)/N • q = (2Naa + NAa)/2N = (Naa + 0.5NAa)/N Sample Calculations Assume N = 200 indiv in each of two popns, 1 & 2 • Popn 1: 90 AA, 40 Aa, 70 aa • Popn 2: 45 AA, 130 Aa, 25 aa In Popn 1 • p = 90 + 0.5(40)/200 = 110/200 = 0.55 • q = 70 + 0.5(40)/200 = 90/200 = 0.45 In Popn 2 • • p = 45 + 0.5(130)/200 = 110/200 = 0.55 q = 25 + 0.5(130)/200 = 90/200 = 0.45 6 Calculations Reveal Two Significant Points: • p + q = 1 (more generally, sum of allelic frequencies equals one) • two populations with markedly different genotype frequencies can have the same allele frequency Why the ps and qs? • This mathematical formalism can be used to model the conditions under which evolution will and will not occur. When genotype and gene frequencies do not change from generation to generation, the population is said to be at equilibrium, i.e., there is no evolutionary change. 7 Hardy-Weinberg Theorem (Rule): • Developed independently by Hardy in England and Weinburg in Germany in 1908 • H-W Rule: Specifies the conditions which must be met for a population to remain at equilibrium, i.e., for no evolutionary change to occur. It provides a “null model” for evolution A Population Will Remain at Equilibrium if: • there is no mutation • popn is very large, essentially infinite • mating must combine gametes at random to form genotypes (random mating) • there is no migration of individuals into or out of the population • all genotypes survive and reproduce equally well • (there is no meiotic drive [transmission distortion) 8 Sabotage at t-complex in Mus • Meiotic drive: violates Mendel’s first law, the principle of segregation (each member of pair of alleles or homologous chromosomes has equal probability of being transmitted to offspring) • Extreme segregation distortion occurs most commonly in spermatogenesis: meiotic drive alleles increase their transmission to the next generation by sabotaging gametes carrying alternative alleles • Causes defective, “curlicue” flagella, poor motility and impairs capacitation in wild-type sperm A Population Will Remain at Equilibrium if: • there is no mutation • popn is very large, essentially infinite • mating must combine gametes at random to form genotypes (random mating) • there is no migration of individuals into or out of the population • all genotypes survive and reproduce equally well • (there is no meiotic drive [transmission distortion) 9 If these conditions hold, it can be shown that: Allele frequencies remain constant, and, after one generation of random mating, the genotype frequencies become: nAA = p2 --> Genotypic frequency of AA is p-squared nAa = 2pq = 2p(1-p) --> Genotypic frequency of Aa is two times p times q naa = q2 = (1-p)2 --> Genotypic frequency of aa is q-squared • Total frequency = 1 = p2 + 2pq + q2 10 This can be shown with Punnett Square Forces of Evolution • • • • • Mutation Genetic drift Non-random mating Migration Selection —Natural selection —Sexual Selection 11