Basic Concepts of Population Genetics
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Lecture 9: Population Genetics
Lecture 9: Population Genetics Plan of the lecture I. Population Genetics: definitions II. Hardy-Weinberg Law. III. Factors affecting gene frequency in a population. Small populations and founder effect. IV. Rare Alleles and Eugenics The goal of this lecture is to make students familiar with basic models of population genetics and to acquaint students with empirical tests of these models. It will discuss the primary forces and processes involved in shaping genetic variation in natural populations (mutation, drift, selection, migration, recombination, mating patterns, population size and population subdivision). I. Population genetics: definitions Population – group of interbreeding individuals of the same species that are occupying a given area at a given time. Population genetics is the study of the allele frequency distribution and change under the influence of the 4 evolutionary forces: natural selection, mutation, migration (gene flow), and genetic drift. Population genetics is concerned with gene and genotype frequencies, the factors that tend to keep them constant, and the factors that tend to change them in populations. All the genes at all loci in every member of an interbreeding population form gene pool. Each gene in the genetic pool is present in two (or more) forms – alleles. Individuals of a population have same number and kinds of genes (except sex genes) and they have different combinations of alleles (phenotypic variation). The applications of Mendelian genetics, chromosomal abnormalities, and multifactorial inheritance to medical practice are quite evident. Physicians work mostly with patients and families. However, as important as they may be, genes affect populations, and in the long run their effects in populations have a far more important impact on medicine than the relatively few families each physician may serve. -
Working at the Interface of Phylogenetics and Population
Molecular Ecology (2007) 16, 839–851 doi: 10.1111/j.1365-294X.2007.03192.x WorkingBlackwell Publishing Ltd at the interface of phylogenetics and population genetics: a biogeographical analysis of Triaenops spp. (Chiroptera: Hipposideridae) A. L. RUSSELL,* J. RANIVO,†‡ E. P. PALKOVACS,* S. M. GOODMAN‡§ and A. D. YODER¶ *Department of Ecology and Evolutionary Biology, Yale University, New Haven, CT 06520, USA, †Département de Biologie Animale, Université d’Antananarivo, Antananarivo, BP 106, Madagascar, ‡Ecology Training Program, World Wildlife Fund, Antananarivo, BP 906 Madagascar, §The Field Museum of Natural History, Division of Mammals, 1400 South Lake Shore Drive, Chicago, IL 60605, USA, ¶Department of Ecology and Evolutionary Biology, PO Box 90338, Duke University, Durham, NC 27708, USA Abstract New applications of genetic data to questions of historical biogeography have revolutionized our understanding of how organisms have come to occupy their present distributions. Phylogenetic methods in combination with divergence time estimation can reveal biogeo- graphical centres of origin, differentiate between hypotheses of vicariance and dispersal, and reveal the directionality of dispersal events. Despite their power, however, phylo- genetic methods can sometimes yield patterns that are compatible with multiple, equally well-supported biogeographical hypotheses. In such cases, additional approaches must be integrated to differentiate among conflicting dispersal hypotheses. Here, we use a synthetic approach that draws upon the analytical strengths of coalescent and population genetic methods to augment phylogenetic analyses in order to assess the biogeographical history of Madagascar’s Triaenops bats (Chiroptera: Hipposideridae). Phylogenetic analyses of mitochondrial DNA sequence data for Malagasy and east African Triaenops reveal a pattern that equally supports two competing hypotheses. -
Hemizygous Or Haploid Sex Diploid Sex
9781405132770_4_002.qxd 1/19/09 2:22 PM Page 16 Table 2.1 Punnett square to predict genotype frequencies for loci on sex chromosomes and for all loci in males and females of haplo-diploid species. Notation in this table is based on birds where the sex chromosomes are Z and W (ZZ males and ZW females) with a diallelic locus on the Z chromosome possessing alleles A and a at frequencies p and q, respectively. In general, genotype frequencies in the homogametic or diploid sex are identical to Hardy–Weinberg expectations for autosomes, whereas genotype frequencies are equal to allele frequencies in the heterogametic or haploid sex. Hemizygous or haploid sex Diploid sex Genotype Gamete Frequency Genotype Gamete Frequency ZW Z-A p ZZ Z-A p Z-a q Z-a q W Expected genotype frequencies under random mating Homogametic sex Z-A Z-A p2 Z-A Z-a 2pq Z-a Z-a q2 Heterogametic sex Z-A W p Z-a W q ·· 9781405132770_4_002.qxd 1/19/09 2:22 PM Page 19 Table 2.2 Example DNA profile for three simple tandem repeat (STR) loci commonly used in human forensic cases. Locus names refer to the human chromosome (e.g. D3 means third chromosome) and chromosome region where the SRT locus is found. Locus D3S1358 D21S11 D18S51 Genotype 17, 18 29, 30 18, 18 ·· 9781405132770_4_002.qxd 1/19/092:22PMPage20 Table 2.3 Allele frequencies for nine STR loci commonly used in forensic cases estimated from 196 US Caucasians sampled randomly with respect to geographic location. -
Muller's Ratchet As a Mechanism of Frailty and Multimorbidity
bioRxivMuller’s preprint ratchetdoi: https://doi.org/10.1101/439877 and frailty ; this version posted[Type Octoberhere] 10, 2018. The copyright holder Govindarajufor this preprint and (which Innan was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. 1 Muller’s ratchet as a mechanism of frailty and multimorbidity 2 3 Diddahally R. Govindarajua,b,1, 2, and Hideki Innanc,1,2 4 5 aDepartment of Human Evolutionary Biology, Harvard University, Cambridge, MA 02138; 6 and bThe Institute of Aging Research, Albert Einstein College of Medicine, Bronx, 7 NY 1046, and cGraduate University for Advanced Studies, Hayama, Kanagawa, 8 240-0193, Japan 9 10 11 12 Authors contributions: D.R.G., H.I designed study, performed research, contributed new 13 analytical tools, analyzed data and wrote the paper 14 15 The authors declare no conflict of interest 16 1D.R.G., and H.I. contributed equally to this work and listed alphabetically 17 2 Correspondence: Email: [email protected]; [email protected] 18 19 Senescence | mutation accumulation | asexual reproduction | somatic cell-lineages| 20 organs and organ systems |Muller’s ratchet | fitness decay| frailty and multimorbidity 21 22 23 24 25 26 27 28 29 30 31 32 1 bioRxivMuller’s preprint ratchetdoi: https://doi.org/10.1101/439877 and frailty ; this version posted[Type Octoberhere] 10, 2018. The copyright holder Govindarajufor this preprint and (which Innan was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. 33 Mutation accumulation has been proposed as a cause of senescence. -
Popgen7: Genetic Drift
PopGen7: Genetic Drift Sampling error Before taking on the notion of genetic drift in populations, let’s first take a look at sampling variation. Let’s consider the age-old coin tossing experiment. Assume a fair coin with p = ½. If you sample many times the most likely single outcome = ½ heads. The overall most likely outcome ≠ ½ heads. This is a binomial sampling problem. ⎛n⎞ k n−k P = ⎜ ⎟()()1/ 2 1/ 2 ⎝k ⎠ ⎛n⎞ n! ⎜ ⎟ = ⎝k ⎠ k!()n − k ! n is the number of flips k is the number of successes Let’s look at the probability of the following: k heads from n flips Probability k =5 from n = 10 0.246 k =6 from n = 10 0.205 So, the most likely single outcome is ½ heads (with p = 0.246), the overall likelihood of observing something other than ½ heads is higher (p = 1 – 0.246 = 0.754) The good news is that as we increase the sample size the likelihood of observing something very close to the expected frequency, E(p) = 0.5, goes up. The probability of a given frequency of heads from n flips of the coin is: N flips p <0.35 p = 0.35-0.45 p = 0.45-0.55 p = 0.55-0.65 p <0.65 variance 10 0.16 0.21 0.25 0.21 0.16 0.025 20 0.06 0.19 0.50 0.19 0.06 0.0125 50 0.002 0.16 0.68 0.16 0.002 0.005 It is clear that sample size N is important. -
Basic Population Genetics Outline
Basic Population Genetics Bruce Walsh Second Bangalore School of Population Genetics and Evolution 25 Jan- 5 Feb 2016 1 Outline • Population genetics of random mating • Population genetics of drift • Population genetics of mutation • Population genetics of selection • Interaction of forces 2 Random-mating 3 Genotypes & alleles • In a diploid individual, each locus has two alleles • The genotype is this two-allele configuration – With two alleles A and a – AA and aa are homozygotes (alleles agree) – Aa is a heterozygote (alleles are different) • With an arbitrary number of alleles A1, .., An – AiAi are homozgyotes – AiAk (for i different from k) are heterozygotes 4 Allele and Genotype Frequencies Given genotype frequencies, we can always compute allele Frequencies. For a locus with two alleles (A,a), freq(A) = freq(AA) + (1/2)freq(Aa) The converse is not true: given allele frequencies we cannot uniquely determine the genotype frequencies If we are willing to assume random mating, freq(AA) = [freq(A)]2, Hardy-Weinberg freq(Aa) = 2*freq(A)*freq(a) proportions 5 For k alleles • Suppose alleles are A1 , .. , An – Easy to go from genotype to allele frequencies – Freq(Ai) = Freq(AiAi) + (1/2) Σ freq(AiAk) • Again, assumptions required to go from allele to genotype frequencies. • With n alleles, n(n+1)/2 genotypes • Under random-mating – Freq(AiAi) = Freq(Ai)*Freq(Ai) – Freq(AiAk) =2*Freq(Ai)*Freq(Ak) 6 Hardy-Weinberg 7 Importance of HW • Under HW conditions, no – Drift (i.e., pop size is large) – Migration/mutation (i.e., no input ofvariation -
A Fundamental Relationship Between Genotype Frequencies and Fitnesses
Copyright Ó 2008 by the Genetics Society of America DOI: 10.1534/genetics.108.093518 A Fundamental Relationship Between Genotype Frequencies and Fitnesses Joseph Lachance1 Graduate Program in Genetics, Department of Ecology and Evolution, State University of New York, Stony Brook, New York 11794-5222 Manuscript received July 3, 2008 Accepted for publication August 7, 2008 ABSTRACT The set of possible postselection genotype frequencies in an infinite, randomly mating population is found. Geometric mean heterozygote frequency divided by geometric mean homozygote frequency equals two times the geometric mean heterozygote fitness divided by geometric mean homozygote fitness. The ratio of genotype frequencies provides a measure of genetic variation that is independent of allele frequencies. When this ratio does not equal two, either selection or population structure is present. Within-population HapMap data show population-specific patterns, while pooled data show an excess of homozygotes. HAT patterns of genetic variation are possible within the set of possible postselection genotype frequencies is W a population, and how does natural selection affect derived. Much like how the Hardy–Weinberg principle these patterns? R. A. Fisher remarked ‘‘it is often conve- describes population genetic states in the absence of nient to consider a natural population not so much as an selection, this novel equation describes population genetic aggregate of living individuals but as an aggregate of gene states in the presence of selection. In the context of ratios’’ (Fisher 1953, p. 515). This mathematical abstrac- genotype-frequency space, this is a multidimensional tion allows key questions in evolutionary genetics to be surface, the curvature of which is influenced by natural addressed. -
“Practical Course on Molecular Phylogeny and Population Genetics”
Dottorato di Ricerca “Biologia Molecolare, Cellulare ed Ambientale” Corsi dottorali per l’A.A. 2017 “Practical course on Molecular Phylogeny and Population Genetics” Emiliano Mancini, PhD 22-24 February 2017 AIMS The purpose of this practical course is to familiarize participants with the basic concepts of molecular phylogeny and population genetics and to offer a first hands-on training on data analysis. Hands-on learning activities are aimed to put concepts into practice and will be conducted using software dedicated to molecular phylogeny and population genetics analyses. COURSE PROGRAM Lessons will be held in AULA 7 (Department of Sciences, Viale G. Marconi, 446, 1st floor) . 22th February 2017 - MOLECULAR PHYLOGENY (THEORY & PRACTICE) PRINCIPLES. (9.30 - 13.00): Introduction to molecular phylogeny: aims and terminology; Alignment: finding homology among sequences; Genetic distances: modelling substitutions and measuring changes; Inferring trees: Distance, Maximum Parsimony, Likelihood and Bayesian methods; Tree accuracy: bootstrap; Molecular clocks: global and relaxed models. PRACTICE. (14.30 - 18.00): From chromatograms to dataset preparation; introduction to phylogenetic software; Practice on: i) alignment; ii) substitution models, tree building and molecular clock; iii) Bayesian tree reconstruction; iv) bootstrap and phylogenetic trees congruence. 23th February 2017 - POPULATION GENETICS (THEORY) PRINCIPLES. (9.30 - 13.00): Introduction to population genetics: aims and terminology; Hardy- Weinberg equilibrium: observed vs. expected genotype frequencies; Quantifying genetic diversity: diploid and haploid data; Genetic drift and effective population size (Ne): bottleneck and founder effects; Quantifying loss of heterozygosity: the inbreeding coefficient (FIS); Quantifying population subdivision: the fixation index (FST); Linkage disequilibrium (LD): measuring association among loci; Gene genealogies and molecular evolution: testing neutrality under the coalescent. -
Chapter 23: Population Genetics (Microevolution) Microevolution Is a Change in Allele Frequencies Or Genotype Frequencies in a Population Over Time
Chapter 23: Population Genetics (Microevolution) Microevolution is a change in allele frequencies or genotype frequencies in a population over time Genetic equilibrium in populations: the Hardy-Weinberg theorem Microevolution is deviation from Hardy- Weinberg equilibrium Genetic variation must exist for natural selection to occur . • Explain what terms in the Hardy- Weinberg equation give: – allele frequencies (dominant allele, recessive allele, etc.) – each genotype frequency (homozygous dominant, heterozygous, etc.) – each phenotype frequency . Chapter 23: Population Genetics (Microevolution) Microevolution is a change in allele frequencies or genotype frequencies in a population over time Genetic equilibrium in populations: the Hardy-Weinberg theorem Microevolution is deviation from Hardy- Weinberg equilibrium Genetic variation must exist for natural selection to occur . Microevolution is a change in allele frequencies or genotype frequencies in a population over time population – a localized group of individuals capable of interbreeding and producing fertile offspring, and that are more or less isolated from other such groups gene pool – all alleles present in a population at a given time phenotype frequency – proportion of a population with a given phenotype genotype frequency – proportion of a population with a given genotype allele frequency – proportion of a specific allele in a population . Microevolution is a change in allele frequencies or genotype frequencies in a population over time allele frequency – proportion of a specific allele in a population diploid individuals have two alleles for each gene if you know genotype frequencies, it is easy to calculate allele frequencies example: population (1000) = genotypes AA (490) + Aa (420) + aa (90) allele number (2000) = A (490x2 + 420) + a (420 + 90x2) = A (1400) + a (600) freq[A] = 1400/2000 = 0.70 freq[a] = 600/2000 = 0.30 note that the sum of all allele frequencies is 1.0 (sum rule of probability) . -
Glossary in Evolutionary Biology Compiled by Prof
Glossary evolutionary biology. Page 1 Glossary in Evolutionary Biology Compiled by Prof. Dieter Ebert This list contains terms, which a student in evolutionary biology should know. The terms denoted with an * are for an advanced level (Courses in evolutionary and quantitative genetics). This Glossary has been compiled with the help of the following books: • J.R. Krebs & N.B. Davies; An Introduction to Behavioural Ecology. 3. Ed., Blackwell UK. 1993. • S.C. Stearns & R.F. Hoeckstra; Evolution: An Introduction. Oxford University Press. 2005. • D.A. Roff; The Evolution of life histories. Chapman & Hall. 1992. ____________________________________________________________________ Adaptation: A state that evolved because it improved reproductive performance, to which survival contributes. Also the process that produces that state. Adaptive evolution: The process of change in a population driven by variation in reproductive success that is correlated with heritable variation in a trait. *Additive genetic variance: The part of total genetic variance that can be modelled by allelic effects whose influence on the phenotype in heterozygotes is additive (Additive means that the phenotype of the heterozygote is halfway between the phenotype of the two homozygotes). This part of genetic variance determines the response to selection by quantitative traits. Aging (=Ageing): (See Senescence). Allele: One of the different homologous forms of a single gene; at the molecular level, a different DNA sequence at the same place in the chromosome. Allele frequency: Proportion the copies of a given allele among all alleles at the locus of interest. Allometry: Relationship between the size of two organisms or their parts. E.g. larger organisms produce larger offspring. -
Introduction to Population Genetics
Introduction to Population Genetics Timothy O’Connor [email protected] Ryan Hernandez [email protected] Learning Objectives • Describe the key evolutionary forces • How demography can influence the site frequency spectrum • Be able to interpret a site frequency spectrum • Understand how the SFS is affected by evolutionary forces • How we can use the SFS to understand evolutionary history of a population. Review: What are the assumptions oF Hardy-Weinberg? 1)There must be no mutation 2)There must be no migration 3)Individuals must mate at random with respect to genotype 4)There must be no selection 5)The population must be infinitely large How do these affect allele frequencies? DriFt, mutation, migration, and Selection selection Coefficient 0.10000 Natural Selection 0.01000 0 1000 2000 3000 4000 1/(2N ) 0.00100 e Ne = 500 0.00010 0.00001 Genetic Drift Genetic driFt: Serial Founder eFFect Out oF AFrica Model! We now have an excellent “road map” of how humans evolved in Africa and migrated to populate the rest of the earth. Africa Europe Americas Asia North Australia Heterozygosity is correlated with distance From East AFrica Ramachandran et al. 2005 PNAS Downloaded from genome.cshlp.org on July 13, 2018 - Published by Cold Spring Harbor Laboratory Press Germline mutation rates in mice our high-throughput sequencing analysis was very reliable. more sequence-amenable regions (EWC regions) for analysis, In the mutator lines, all of the selected candidates (80 SNVs) which were strictly selected; and more efficient filtering out of were confirmed to be bona fide de novo SNVs, present in the sequencing errors using the Adam/Eve samples—compared with sequenced mouse but not in its ancestors. -
Defining Genetic Diversity (Within a Population)
Primer in Population Genetics Hierarchical Organization of Genetics Diversity Primer in Population Genetics Defining Genetic Diversity within Populations • Polymorphism – number of loci with > 1 allele • Number of alleles at a given locus • Heterozygosity at a given locus • Theta or θ = 4Neμ (for diploid genes) where Ne = effective population size μ = per generation mutation rate Defining Genetic Diversity Among Populations • Genetic diversity among populations occurs if there are differences in allele and genotype frequencies between those populations. • Can be measured using several different metrics, that are all based on allele frequencies in populations. – Fst and analogues – Genetic distance, e.g., Nei’s D – Sequence divergence Estimating Observed Genotype and Allele Frequencies •Suppose we genotyped 100 diploid individuals (n = 200 gene copies)…. Genotypes AA Aa aa Number 58 40 2 Genotype Frequency 0.58 0.40 0.02 # obs. for genotype Allele AA Aa aa Observed Allele Frequencies A 116 40 0 156/200 = 0.78 (p) a 0 40 4 44/200 = 0.22 (q) Estimating Expected Genotype Frequencies Mendelian Inheritance Mom Mom Dad Dad Aa Aa Aa Aa •Offspring inherit one chromosome and thus A A one allele independently A a and randomly from each parent AA Aa •Mom and dad both have genotype Aa, their offspring have Mom Dad Mom Dad Aa Aa three possible Aa Aa genotypes: a A a a AA Aa aa Aa aa Estimating Expected Genotype Frequencies •Much of population genetics involves manipulations of equations that have a base in either probability theory or combination theory. -Rule 1: If you account for all possible events, the probabilities sum to 1.