Genetics: Population


 

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Chapter 26. Population Genetics

     

      Population Geneticists want to understand the extent of genetic variation within a population.

   The why and how it occurs over many generations.

      Emerged in the 1920’s and 30’s as a mathematical extension of the principles of Mendel and Darwin.

   Formulae are used to explain genotype occurrences in a population.

 

      Genes in Populations.

   In population genetics the focus is shifted away from the individual and towards the population.

  

   Therefore it is defined as the totality of genes within a particular population.

   Therefore a member of the population receives its genes from the pool and contributes genes to the pool by reproducing.

   Population geneticists study the genetic variation in the gene pool and how it changes from one generation to the next.

   A population is a group of interbreeding individuals of the same species that share a gene pool.

   A large population can be composed of smaller groups called subpopulations, local populations or demes.

   Subpopulations are often separated by moderate geographic barriers and are more likely to breed with other members of the subpopulation than with members of the population at large.

   Populations are dynamic changing geographical location, size and genetic composition.

   All these changes can effect the gene pool.

   Population geneticists study how the gene pool changes in response to these fluctuations.

  

   Polymorphism (many forms) in population genetics refers to the idea that traits show many variations in a population.

  Historically these are things that can be visualized with the naked eye.

  Polymorphisms in coloration and markings have long been studied by population geneticists.

  At the level of DNA trait polymorphism is due to different alleles that affect a trait.

  These alleles will affect the traits of those who inherit them.

  This is genetic variation.

   A gene is considered monomorphic when it exists as  only one allele in 99% of the population.

   John Hubby and Richard Lewontin (1966) were the first to study genetic variation with molecular genetic techniques.

  Studied variation in the amino acid sequence of enzymes in the fruit fly Drosophila pseudoobscura.

  Found that these slight amino acid differences would change the mobility of the enzyme during gel electrophoreses.

  Two enzymes with small differences in their gel mobility due to slight amino acid changes are called allozymes (alleles of the same enzymes).

  Studied 18 different enzymes in five different populations and found that 30% had two or more allozymes.

  Interpretation: 30% of the enzymes had alleles of the gene that lead to amino acid differences in the enzyme (allozyme) the gene encoded for.

»  There methods actually underestimate the actual number since many amino acid changes will not affect gel mobility of the enzyme.

  These studies indicate that genetic variability is quite high.

  Around the same time it was found that approximately 30% of human enzymes have are polymorphic.

  Most natural populations a substantial percentage of genes are polymorphic.

  Small populations near extinction do not have much genetic variation.

»  Ex: African cheetah genetic variation is near 0.

  Since 30% of human genes are polymorphic and we have approximately 35,000 genes that means 10,500 have polymorphisms (over the population).

   One example would be ABO blood type, there are three alleles (IA, IB and i).

   Population geneticists are concerned with allele and genotype frequencies.

   In order to evaluate the prevalence of genes in a population they use calculations.

  

 

   Allele frequency is defined as:

 

 

 

 

 

   Genotype frequency is defined as:

 

 

 

 

 

   These to frequencies are related and distinct.

  Ex: population of 100 pea plants with the following phenotypes and genotypes:

»  64 tall plants with the genotype TT.

»  32 tall plants with the genotype Tt.

»  4 dwarf plants with the genotype tt.

 

  For the t allele there are 32 copies from the heterozygotes and 8 copies from the 4 homzygous recessive plants.

  The allele frequency for the t allele is:

 

 

 

 

 

  20% of the alleles for this gene in the population are the t allele.

  If we calculate the genotype frequency we get a different percentage.

 

 

 

 

 

  4% of the population are dwarf plants.

   Allele or genotype frequencies are always less than or equal to 1 (100%).

  

 

   For polymorphic genes if you add up all the frequencies for all the alleles in a population it should = 1.0.

  For our example if you calculate the allele frequency for T it = 0.8 and 0.8 + 0.2 = 1.0.

      Hardy-Weinberg Equilibrium (H-WE).

   An equation derived independently by Godfrey Hardy and Wilhelm Weinberg (1908) that predicts the stability of allele and genotype frequencies from one generation to the next, the Hardy-Weinberg equation.

   This equation relates allele and genotype frequencies within a population.

   Called an equilibrium because the allele and genotype frequencies will not change over time (generations).

   The H-WE established a framework to understand genetic stability.

   We know that in a population genetics are not stable.

  Population geneticists study the H-WE and the conditions that must be met for it to be valid.

  Then they study the reasons that natural populations violate the H-WE and lead to changes in genotype and allele frequencies.

   The H-W equation calculates genotype frequencies based on allele frequencies.

   EX: If we are considering a gene with two alleles A and a where the variable p=A and q=a then p + q = 1.

   If p = 0.8 then q must = 0.2; total = 1.

   Can be said the allele frequency of A = 80% then the allele frequency of a = 20%; total = 100%.

   The Hardy-Weinberg equation states that: p2+2pq+q2=1.

  Where p2 =

  Where 2pq =

  Where q2 =

   If p = 0.8 and q = 0.2 then:

  AA = p2 = (0.8)2 = 0.64.

  Aa = 2pq = 2(0.8)(0.2) = 0.32.

  aa = q2 = (0.2)2 = 0.04.

   Therefore if the allele frequency of A is 80% and a is 20% then the genotype frequencies are:

  AA = 64%.

  Aa = 32%.

  aa = 4%.

   You get the same result if you use the product rule:

  Ex: Frequency of producing an AA = 0.8 X 0.8 = 0.64 or 64%.

   The H-W equation predicts and equilibrium in large populations if the following criteria are met:

  1) Population so large allele frequencies do not change due to random sampling error.

  2) Members of a population mate with one another without regard for phenotypes or genotypes.

  3) No migration between populations.

  4) No survival or reproductive advantage for any of the genotypes (no natural selection).

  5)

   Provides for a quantitative relationship between allele and genotype frequencies.

   This is extremely unlikely to occur in a natural population.

   However, extremely large populations with little migration or natural selection may approximate H-W equilibrium.

   The H-W equilibrium gives a point for comparison when we encounter populations that do change from generation to generation.

   Many things may occur to upset the conditions needed for the H-WE.

  

 

 

   Factors that change allele frequency include neutral and adaptive forces.

  Neutral forces include random genetic drift and migration.

»  Random genetic drift: Allele frequency changes due to random (chance) from one generation to the next.

»  Migration: Populations with different allele frequencies may have movement of individuals from one population to the next may lead to a change in allele frequency for those populations.

  Adaptive forces include natural selection.

»  Natural selection: Beneficial phenotypes resulting from certain genotypes leading to enhanced survival and/or reproduction.

»  Directional (Survival of one phenotypic extreme) , Disruptive (two different classes survive) and Stabilizing (survival of individuals with intermediate phenotypes) selection can play a role.

  Random mutation can also provide genetic variation.

»  May be neutral advantages or detrimental either way this could lead to a change in allele frequency.