Genotypes, Phenotypes, and Selection

Total Page:16

File Type:pdf, Size:1020Kb

Genotypes, Phenotypes, and Selection Genotypes,Phenotypes, and Selection Selectionoperates directly on phenotypesbecause phenotypic In manycases, the allelicvariation at a particularlocus does not 'h variationamong organisms rnf luences the relativeprobability of sur- Intluencethe pnenotype. In such cases, the alleres are dden"frorn vivaland reproduction.Those phenotypes, tn turn, are influenced by the actionof seleciionbecause they are selectrvely neutral. Even if an alleles.Although the relationshipbetween alleles and phenotypesis alleledoes result in a phenotypicchange, it stillcould be selectively rarelyknown and often complex, it isstill possible for allelesat genetic neutralif the changein phenotypehas no effecton reproductive locito experrenceselectron. Population geneticists can sample indi- SUCCCSS, vrdualsfor theirgenotype at a locusand comparethe fitnessof indi- vidualswith onegenotype (r.e., the averagefrtness of the genotype) Key Concept with the fitnessesof individualswith othergenotypes. When geno- Allelesare selectively neutral if they haveno effecton the fitnessof typesdiffer consistently in theirf itness,the genetic locus can be said theirbearers. This phenomenon often occurs when genetic variation to beunder selection. The selection coefficient (s) isused to describe at a locusdoes not affect the phenotypeof an individual howmuch the genotypesdiffer in theirfitness. 6.6 Selection:Winning and Losing In Chapter 2, we introduced the concept of selectionas first developedby Charles Darwin and Alfred RusselWallace. Both naturalistsrecognized the profound impor- tance of selectionas a mechanism of evolution. Natural selection arises whenever (1)individuals vary in the expressionoftheir phenotypes,and (2)this variationcauses some individuals to perform better than others.Over many generations,Darwin and Wallace argued, selection can drive large-scaleevolutionary change,allowing new adaptationsto arise.In Chapter10, we will considerthe origin of adaptationsin more detail. For now, let's focus on the question of how selectionchanges the frequencies of allelesin a population. The reproductivesuccess of an individual with a particular phenotype is known Fitness:The success of anorganism as fitness, and selectionoccurs when individuals vary in their fitness. While this at survivingand reproducing, and thus may seemstraightforward enough,studying the actual fitness of real organismsis a contributingoffspring to future surprisingly complicatedmatter. The best way to measurefitness would begin with generations. tallying the lifetime reproductivecontribution of an individual and then noting how many of the offspring manageto survive to reproductiveage themselves. In practice, however,it's hardly ever possibleto make such a detailedmeasurement. Scientistssettle instead for reliableproxies for fitness.They sometimesmeasure the probability that an individual survivesto the ageof reproduction,for example,or they measurethe number of offspring that organismsproduce in a specificseason. Whatever the actualmetric, measuringselection entails comparing thesefitness mea- suresfor many different individuals and relating variation in fitnesswith variation in the expressionof a phenotype. Another difficulty when it comes to measuring fitness is the complicated rela- tionship betweengenotype and phenotype.The fitnessof an organism is the product of its entire phenotype.We'll seein Chapters7 and 8 how scientistscan make mea- surementsof phenotypic selectionto study how complex morphological and behav- ioral traits evolve. But first let's consider how population geneticistsstudy fitness. Instead of studying an entire phenoqpe, they focus on the evolution of allelesat a geneticlocus. Populationgeneticists often distill all of the different fitness components,such Relativefitness (of a genotype): as survival, mating success,and fecundity, into a single value, called w. This value Thesuccess ofthe genotypeat describesthe relative contribution of individuals with one genotype,compared with producingnew individuals (its fitness) the averagecontribution of all individuals in the population. If individuals with a standardizedby the successof other particular genotype,for example,4747, consistentlycontribute more offspring than genotypesin the population(for individuals with other genotypes(e.g., A1A2, A2A2), then their relative fitness will be example,divided by the average greaterthan one. Conversely,if the net contributions of individuals with a genotype fitnessof the population). are lower than those of other individuals, the relative fitness will be less than one. 166 cHAprERsrx rHE wAys oF cHANGE:DRrFT AND sELEcrroN Sometimespopulation geneticistscalculate relative fitness by comparing the fitness of all individuals to the fitness of the most successfulgenotype in the population, rather than by the mean fitness of the population. In such cases,the genotypewith the highest fitness has a relative fitness of w : 1, and all other genotypeshave rela- tive fitnessesthat are between0 and 1.Regardless of which way it is measured,selec tion will always occur if two or more genotypesdiffer consistentlyin their relative fitness.The strength of selectionwill reflect how different the genotypesare in their respectivefitnesses. To understand how selectionleads to changesin the frequenciesof alleles,we can consider the contributions of an allele, rather than a genotype,to fitness. But calculatingthe relative fitness of an allele is more complicatedthan calculatingthat of a genotype,for two reasons.First, alleles in diploid organismsdon't act alone.They are alwayspaired with another alleleto form a genotype.If there is, say,a dominance interaction between them, that interaction will influence the phenotype. Second, selectiondoes not act directly on alleles.It actson individuals and their phenotypes. Nevertheless,it is still possibleto calculatethe net contributions of an alleleto fit- ness.To do so,we must considerthe fitnesscontributions of individuals heterozygous for the allele as well as that of homozygotes,and weigh how many individuals with each genotype are actually present in the population and contributing offspring to Averageexcess of fitness (of an the next generation.Box 6.5 showshow the net fitnesscontribution of an allele,called allele):The difference between the the averageexcess of fitness, is calculated. averagefitness of individualsbearing The averageexcess of fitness for an allele can be used to predict how the fre- the alleleand the averagefitness of the quency of the allelewill changefrom one generationto the next: oooulationas a whole. Lp:px(ao, w) where Ap is the change in allele frequency due to selection,p is the frequency of the A1 allele,w is the averagefitness of the population, and a,a,is the averageexcess of fitness for the A7 allele.This equation can tell us a lot about the nature of natural selection. The sign of the averageexcess of fitness(a o ) , for example,determines whether selectionincreases an allele'sfrequency or decreasesit. Whenever an allele is pres- ent in a population, its frequency is greaterthan zero; and as long as the population exists,its averagefitness, w, is alsogreater than zero (becausew is the sum of all indi- viduals with each genotype times their respectivecontributions of offspring to the next generation).Since both p and w are by definition positive,the sign of Ap must be determined by the averageexcess of fitness of the allele. Whenever the fitness effectsof an allele are positive,selection should increasethe frequency of the allele over time; the converseis true when the fitnesseffects are negative. This equation also tells us that the speedof increase(or decrease)in the fre- quency of an allelewill depend on the strength of selectionthat it experiences-the magnitude of aa,.When the averageexcess of fitness is very large (positiveor nega- tive), the resulting changein allele frequencywill be greaterthan when the average excessof fitness is smaller. Finally,this equation shows us that the effectivenessof selectionat changing an allele'sfrequency dependson how common it is in the population.When an alleleis very rare (p : 0), the power of selectionto act will be low even if the fitness effects of the allele are pronounced. SmallDifferences, Big Results Alleles can differ enormously in fitness. A single mutation can disable an essential protein, leading to a lethal genetic disorder. These alleles experience strong negative selection because children who die of such a disorder cannot pass on the mutation to their offspring. As a result, a typical severe genetic disorder affects only a tiny fraction of the population. But even when alleles are separated by only a small difference in their average excess of fitness, selection can have big long-term effects. That's because populations grow like investments earning interest. '167 6.6 sELEcroN:wrNNtNG AND LosrNG E SelectionChanges Allele Frequencies ll Let'sconsider how naturalselection changes allele frequencies by Genotype: A,A, AtAz A,A, startingwith a populationin Hardy-Weinbergequilibrium at a genetic (p'zxwrr)fw (zpqxwt)fw \q'xwrr)/w locus.We willthen calculate how selection pulls ihe populationout of f,rtt equilibriumand, in so doing,shifts the frequenciesof the alleles. Andfrom theseresults, we cancalculate each a//e/e frequency in this We'lluse the samelocus and alleles that we did in Box6.2, A, and newgeneration as the frequencyof homozygoteindividuals plus half Ar, and starting frequenciesof p and 4 respectively.We've already the frequencyof heterozygotes: seenthat for a
Recommended publications
  • Fitness Maximization Jonathan Birch
    Fitness maximization Jonathan Birch To appear in The Routledge Handbook of Evolution & Philosophy, ed. R. Joyce. Adaptationist approaches in evolutionary ecology often take it for granted that natural selection maximizes fitness. Consider, for example, the following quotations from standard textbooks: The majority of analyses of life history evolution considered in this book are predicated on two assumptions: (1) natural selection maximizes some measure of fitness, and (2) there exist trade- offs that limit the set of possible [character] combinations. (Roff 1992: 393) The second assumption critical to behavioral ecology is that the behavior studied is adaptive, that is, that natural selection maximizes fitness within the constraints that may be acting on the animal. (Dodson et al. 1998: 204) Individuals should be designed by natural selection to maximize their fitness. This idea can be used as a basis to formulate optimality models [...]. (Davies et al. 2012: 81) Yet there is a long history of scepticism about this idea in population genetics. As A. W. F. Edwards puts it: [A] naive description of evolution [by natural selection] as a process that tends to increase fitness is misleading in general, and hill-climbing metaphors are too crude to encompass the complexities of Mendelian segregation and other biological phenomena. (Edwards 2007: 353) Is there any way to reconcile the adaptationist’s image of natural selection as an engine of optimality with the more complex image of its dynamics we get from population genetics? This has long been an important strand in the controversy surrounding adaptationism.1 Yet debate here has been hampered by a tendency to conflate various different ways of thinking about maximization and what it entails.
    [Show full text]
  • Determining the Factors Driving Selective Effects of New Nonsynonymous Mutations
    Determining the factors driving selective effects of new nonsynonymous mutations Christian D. Hubera,1, Bernard Y. Kima, Clare D. Marsdena, and Kirk E. Lohmuellera,b,c,1 aDepartment of Ecology and Evolutionary Biology, University of California, Los Angeles, CA 90095; bInterdepartmental Program in Bioinformatics, University of California, Los Angeles, CA 90095; and cDepartment of Human Genetics, David Geffen School of Medicine, University of California, Los Angeles, CA 90095 Edited by Andrew G. Clark, Cornell University, Ithaca, NY, and approved March 16, 2017 (received for review November 26, 2016) The distribution of fitness effects (DFE) of new mutations plays a the protein stability model, the back-mutation model, the mu- fundamental role in evolutionary genetics. However, the extent tational robustness model, and Fisher’s geometrical model to which the DFE differs across species has yet to be systematically (FGM). For example, the mutational robustness model predicts investigated. Furthermore, the biological mechanisms determining that more complex species will have more robust regulatory the DFE in natural populations remain unclear. Here, we show that networks that will better buffer the effects of deleterious muta- theoretical models emphasizing different biological factors at tions, leading to less deleterious selection coefficients (10). Here, determining the DFE, such as protein stability, back-mutations, we leverage these predictions of how the DFE is expected to species complexity, and mutational robustness make distinct pre- differ across species to test which theoretical model best explains dictions about how the DFE will differ between species. Analyzing the evolution of the DFE by comparing the DFE in natural amino acid-changing variants from natural populations in a com- populations of humans, Drosophila, yeast, and mice.
    [Show full text]
  • 1 "Principles of Phylogenetics: Ecology
    "PRINCIPLES OF PHYLOGENETICS: ECOLOGY AND EVOLUTION" Integrative Biology 200 Spring 2016 University of California, Berkeley D.D. Ackerly March 7, 2016. Phylogenetics and Adaptation What is to be explained? • What is the evolutionary history of trait x that we see in a lineage (homology) or multiple lineages (homoplasy) - adaptations as states • Is natural selection the primary evolutionary process leading to the ‘fit’ of organisms to their environment? • Why are some traits more prevalent (occur in more species): number of origins vs. trait- dependent diversification rates (speciation – extinction) Some high points in the history of the adaptation debate: 1950s • Modern Synthesis of Genetics (Dobzhansky), Paleontology (Simpson) and Systematics (Mayr, Grant) 1960s • Rise of evolutionary ecology – synthesis of ecology with strong adaptationism via optimality theory, with little to no history; leads to Sociobiology in the 70s • Appearance of cladistics (Hennig) 1972 • Eldredge and Gould – punctuated equilibrium – argue that Modern Synthesis can’t explain pervasive observation of stasis in fossil record; Gould focuses on development and constraint as explanations, Eldredge more on ecology and importance of migration to minimize selective pressure 1979 • Gould and Lewontin – Spandrels – general critique of adaptationist program and call for rigorous hypothesis testing of alternatives for the ‘fit’ between organism and environment 1980’s • Debate on whether macroevolution can be explained by microevolutionary processes • Comparative methods
    [Show full text]
  • I Xio- and Made the Rather Curious Assumption That the Mutant Is
    NOTES AND COMMENTS NATURAL SELECTION AND THE EVOLUTION OF DOMINANCE P. M. SHEPPARD Deportment of Genetics, University of Liverpool and E.B. FORD Genetic Laboratories, Department of Zoology, Oxford 1. INTRODUCTION CROSBY(i 963) criticises the hypothesis that dominance (or recessiveness) has evolved and is not an attribute of the allelomorph when it arose for the first time by mutation. None of his criticisms is new and all have been discussed many times. However, because of a number of apparent mis- understandings both in previous discussions and in Crosby's paper, and the fact that he does not refer to some important arguments opposed to his own view, it seems necessary to reiterate some of the previous discussion. Crosby's criticisms fall into two parts. Firstly, he maintains, as did Wright (1929a, b) and Haldane (1930), that the selective advantage of genes modifying dominance, being of the same order of magnitude as the mutation rate, is too small to have any evolutionary effect. Secondly, he criticises, as did Wright (5934), the basic assumption that a new mutation when it first arises produces a phenotype somewhat intermediate between those of the two homozygotes. 2.THE SELECTION COEFFICIENT INVOLVED IN THE EVOLUTION OF DOMINANCE Thereis no doubt that the selective advantage of modifiers of dominance is of the order of magnitude of the mutation rate of the gene being modified. Crosby (p. 38) considered a hypothetical example with a mutation rate of i xio-and made the rather curious assumption that the mutant is dominant in the absence of modifiers of dominance.
    [Show full text]
  • It's About Time: the Temporal Dynamics of Phenotypic Selection in the Wild
    Ecology Letters, (2009) 12: 1261–1276 doi: 10.1111/j.1461-0248.2009.01381.x REVIEW AND SYNTHESIS ItÕs about time: the temporal dynamics of phenotypic selection in the wild Abstract Adam M. Siepielski,1* Joseph Selection is a central process in nature. Although our understanding of the strength and D. DiBattista2 and Stephanie form of selection has increased, a general understanding of the temporal dynamics of M. Carlson3 selection in nature is lacking. Here, we assembled a database of temporal replicates of 1 Department of Biological selection from studies of wild populations to synthesize what we do (and do not) know Sciences, Dartmouth College, about the temporal dynamics of selection. Our database contains 5519 estimates of Hanover, NH 03755, USA selection from 89 studies, including estimates of both direct and indirect selection as well 2Redpath Museum and as linear and nonlinear selection. Morphological traits and studies focused on vertebrates Department of Biology, McGill were well-represented, with other traits and taxonomic groups less well-represented. University, Montre´ al, QC H3A 2K6, Canada Overall, three major features characterize the temporal dynamics of selection. First, the 3University of California, strength of selection often varies considerably from year to year, although random Department of Environmental sampling error of selection coefficients may impose bias in estimates of the magnitude of Science, Policy, and such variation. Second, changes in the direction of selection are frequent. Third, changes Management, 137 Mulford Hall in the form of selection are likely common, but harder to quantify. Although few studies 3114, Berkeley, CA 94720, USA have identified causal mechanisms underlying temporal variation in the strength, *Correspondence: E-mail: direction and form of selection, variation in environmental conditions driven by climatic Adam.M.Siepielski@Dartmouth.
    [Show full text]
  • Phylogenetics: Recovering Evolutionary History COMP 571 Luay Nakhleh, Rice University
    1 Phylogenetics: Recovering Evolutionary History COMP 571 Luay Nakhleh, Rice University 2 The Structure and Interpretation of Phylogenetic Trees unrooted, binary species tree rooted, binary species tree speciation (direction of descent) Flow of time ๏ six extant taxa or operational taxonomic units (OTUs) 3 The Structure and Interpretation of Phylogenetic Trees Phylogenetics-RecoveringEvolutionaryHistory - March 3, 2017 4 The Structure and Interpretation of Phylogenetic Trees In a binary tree on n taxa, how may nodes, branches, internal nodes and internal branches are there? How many unrooted binary trees on n taxa are there? How many rooted binary trees on n taxa are there? ๏ six extant taxa or operational taxonomic units (OTUs) 5 The Structure and Interpretation of Phylogenetic Trees polytomy Non-binary Multifuracting Partially resolved Polytomous ๏ six extant taxa or operational taxonomic units (OTUs) 6 The Structure and Interpretation of Phylogenetic Trees A polytomy in a tree can be resolved (not necessarily fully) in many ways, thus producing trees with higher resolution (including binary trees) A binary tree can be turned into a partially resolved tree by contracting edges In how many ways can a polytomy of degree d be resolved? Compatibility between two trees guarantees that one can back and forth between the two trees by means of node refinement and edge contraction Phylogenetics-RecoveringEvolutionaryHistory - March 3, 2017 7 The Structure and Interpretation of Phylogenetic Trees branch lengths have Additive no meaning tree Additive tree ultrametric rooted at an tree outgroup (molecular clock) 8 The Structure and Interpretation of Phylogenetic Trees bipartition (split) AB|CDEF clade cluster 11 clades (4 nontrivial) 9 bipartitions (3 nontrivial) How many nontrivial clades are there in a binary tree on n taxa? How many nontrivial bipartitions are there in a binary tree on n taxa? How many possible nontrivial clusters of n taxa are there? 9 The Structure and Interpretation of Phylogenetic Trees Species vs.
    [Show full text]
  • Fixation of New Mutations in Small Populations
    Whitlock MC & Bürger R (2004). Fixation of New Mutations in Small Populations. In: Evolutionary Conservation Biology, eds. Ferrière R, Dieckmann U & Couvet D, pp. 155–170. Cambridge University Press. c International Institute for Applied Systems Analysis 9 Fixation of New Mutations in Small Populations Michael C. Whitlock and Reinhard Bürger 9.1 Introduction Evolution proceeds as the result of a balance between a few basic processes: mu- tation, selection, migration, genetic drift, and recombination. Mutation is the ulti- mate source of all the genetic variation on which selection may act; it is therefore essential to evolution. Mutations carry a large cost, though; almost all are delete- rious, reducing the fitness of the organisms in which they occur (see Chapter 7). Mutation is therefore both a source of good and ill for a population (Lande 1995). The overall effect of mutation on a population is strongly dependent on the pop- ulation size. A large population has many new mutations in each generation, and therefore the probability is high that it will obtain new favorable mutations. This large population also has effective selection against the bad mutations that occur; deleterious mutations in a large population are kept at a low frequency within a balance between the forces of selection and those of mutation. A population with relatively fewer individuals, however, will have lower fitness on average, not only because fewer beneficial mutations arise, but also because deleterious mutations are more likely to reach high frequencies through random genetic drift. This shift in the balance between fixation of beneficial and deleterious mutations can result in a decline in the fitness of individuals in a small population and, ultimately, may lead to the extinction of that population.
    [Show full text]
  • THE MUTATION LOAD in SMALL POPULATIONS HE Mutation Load
    THE MUTATION LOAD IN SMALL POPULATIONS MOT00 KIMURAZ, TAKE0 MARUYAMA, and JAMES F. CROW University of Wisconsin, Madison, Wisconsin Received April 29, 1963 HE mutation load has been defined as the proportion by which the population fitness, or any other attribute of interest, is altered by recurrent mutation (MORTON,CROW, and MULLER1956; CROW1958). HALDANE(1937) and MULLER(1950) had earlier shown that this load is largely independent of the harmfulness of the mutant. As long as the selective disadvantage of the mutant is of a larger order of magnitude than the mutation rate and the heterozygote fitness is not out of the range of that of the homozygotes, the load (measured in terms of fitness) is equal to the mutation rate for a recessive mutant and approxi- mately twice the mutation rate for a dominant mutant. A detailed calculation of the value for various degrees of dominance has been given by KIMURA(1 961 ) . In all these studies it has been assumed that the population is so large and the conditions so stable that the frequency of a mutant gene is exactly determined by the mutation rates, dominance, and selection coefficients, with no random fluctuation. However, actual populations are finite and also there are departures from equilibrium conditions because of variations in the various determining factors. Our purpose is to investigate the effect of random drift caused by a finite population number. It would be expected that the load would increase in a small population because the gene frequencies would drift away from the equilibrium values. This was confirmed by our mathematical investigations, but two somewhat unexpected results emerged.
    [Show full text]
  • Selection and Genome Plasticity As the Key Factors in the Evolution of Bacteria
    PHYSICAL REVIEW X 9, 031018 (2019) Selection and Genome Plasticity as the Key Factors in the Evolution of Bacteria † Itamar Sela,* Yuri I. Wolf, and Eugene V. Koonin National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, Maryland 20894, USA (Received 10 December 2018; revised manuscript received 6 June 2019; published 5 August 2019) In prokaryotes, the number of genes in different functional classes shows apparent universal scaling with the total number of genes that can be approximated by a power law, with a sublinear, near-linear, or superlinear scaling exponent. These dependences are gene class specific but hold across the entire diversity of bacteria and archaea. Several models have been proposed to explain these universal scaling laws, primarily based on the specifics of the respective biological functions. However, a population-genetic theory of universal scaling is lacking. We employ a simple mathematical model for prokaryotic genome evolution, which, together with the analysis of 34 clusters of closely related bacterial genomes, allows us to identify the underlying factors that govern the evolution of the genome content. Evolution of the gene content is dominated by two functional class-specific parameters: selection coefficient and genome plasticity. The selection coefficient quantifies the fitness cost associated with deletion of a gene in a given functional class or the advantage of successful incorporation of an additional gene. Genome plasticity reflects both the availability of the genes of a given class in the external gene pool that is accessible to the evolving population and the ability of microbes to accommodate these genes in the short term, that is, the class-specific horizontal gene transfer barrier.
    [Show full text]
  • Dynamics of Adaptation in Sexual and Asexual Populations Joachim Krug Institut Für Theoretische Physik, Universität Zu Köln
    Dynamics of adaptation in sexual and asexual populations Joachim Krug Institut für Theoretische Physik, Universität zu Köln • Motivation and basic concepts • The speed of evolution in large asexual populations • Epistasis and recombination Joint work with Su-Chan Park and Arjan de Visser [PNAS 104, 18135 (2007); arXiv:0807.3002] I have deeply regretted that I did not proceed far enough at least to understand something of the great leading principles of mathematics, for men thus endowed seem to have an extra sense. The Autobiography of Charles Darwin The modern synthesis R.A. Fisher J.B.S. Haldane S. Wright The evolutionary process is concerned, not with individuals, but with the species, an intricate network of living matter, physically continuous in space- time, and with modes of response to external conditions which it appears can be related to the genetics of individuals only as a statistical consequence of the latter. Sewall Wright (1931) It is not generally realized that genetics has finally solved the age-old problem of the reason for the existence (i.e., the function) of sexuality and sex, and that only geneticists can properly answer the question, “Is sex necessary?” H.J. Muller (1932) The problem of sex Sex is costly: • Two-fold cost of males (Maynard-Smith, 1971) • Cost of finding and courting a mate Nevertheless sexual reproduction is ubiquitous in plants and animals ⇒ What evolutionary forces are responsible for the maintenance of sex? Genetic mechanisms: • Sex helps to eliminate deleterious mutations (Muller’s ratchet) • Sex speeds up the establishment of beneficial mutations (Muller-Fisher effect/clonal interference) The Muller-Fisher hypothesis for the advantage of sex J.F.
    [Show full text]
  • Selection in a Subdivided Population with Local Extinction and Recolonization
    Copyright 2003 by the Genetics Society of America Selection in a Subdivided Population With Local Extinction and Recolonization Joshua L. Cherry1 Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, Massachusetts 02138 Manuscript received December 13, 2002 Accepted for publication March 4, 2003 ABSTRACT In a subdivided population, local extinction and subsequent recolonization affect the fate of alleles. Of particular interest is the interaction of this force with natural selection. The effect of selection can be weakened by this additional source of stochastic change in allele frequency. The behavior of a selected allele in such a population is shown to be equivalent to that of an allele with a different selection coefficient in an unstructured population with a different size. This equivalence allows use of established results for panmictic populations to predict such quantities as fixation probabilities and mean times to fixation. The magnitude of the quantity Nese, which determines fixation probability, is decreased by extinction and recolonization. Thus deleterious alleles are more likely to fix, and advantageous alleles less likely to do so, in the presence of extinction and recolonization. Computer simulations confirm that the theoretical predictions of both fixation probabilities and mean times to fixation are good approximations. HE consequences of population subdivision for evol- tion of an infinite population size. These results provide Tution depend on the nature of gene flow between not only fixation probabilities but also a complete de- subpopulations. Gene flow might be restricted to ordi- scription of the trajectory of the frequency of a selected nary migration, but might also include extinction of allele.
    [Show full text]
  • Practice Problems in Population Genetics
    PRACTICE PROBLEMS IN POPULATION GENETICS 1. In a study of the Hopi, a Native American tribe of central Arizona, Woolf and Dukepoo (1959) found 26 albino individuals in a total population of 6000. This form of albinism is controlled by a single gene with two alleles: albinism is recessive to normal skin coloration. a) Why can’t you calculate the allele frequencies from this information alone? Because you can’t tell who might be a carrier just by looking. b) Calculate the expected allele frequencies and genotype frequencies if the population were in Hardy-Weinberg equilibrium. How many of the Hopi are estimated to be carriers of the recessive albino allele? If we assume that the population’s in H-W equilibrium, then the frequency of individuals with the albino genotype is the square of the frequency of the albino allele. In other words, freq (aa) = q2. Freq (aa) = 26/6000 = 0.0043333, and the square root of that is 0.0658, which is q, the frequency of the albino allele. The frequency of the normal allele is p, equal to 1 - q, so p = 0.934. We’d then predict that the frequency of Hopi who are homozygous normal (genotype AA) is p2, which is 0.873. In other words, 87.3% of the population, or an estimated 5238 people, should be homozygous normal. The frequency of carriers we’d predict to be 2pq, which is 0.123. So 12.3%, or 737 people, should be carriers of albinism, if the population is in H-W. 2. A wildflower native to California, the dwarf lupin (Lupinus nanus) normally bears blue flowers.
    [Show full text]