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Polygenic Inheritance Definition: 'A single characteristic that is controlled by two or more genes' Each allele of a polygenic character often contributes only a small amount to the over all phenotype. This makes studying the individual alleles difficult. In addition environmental effects smooth out the genotypic variation to give continuous distribution curves. Polygenic characteristic more often show continuous variation. (a) Is the genotypic variation in the population? (b) Phenotypic variation = genotypic variation + environmental variation. Vp = Vg + Ve Example: Polygenic Inheritance/ Human skin color This is controlled by as many as 4 genes each with its own alleles. As the number of genes increases the amount of phenotypic variation increases. The alleles control the production of melanin which is a pigment that colors skin. In this example the calculation is performed with 2 genes each with 2 alleles. The cross is between two individuals heterozygous at both alleles Allele Key * A= add melanin * a= no melanin added * * B= adds melanin b= no melanin added AaBb X AaBb meiosis * The graph shows the variation in skin color and frequency. If the calculation is performed for 4 genes the graph smoothes out the different color types * The frequency of groups will be affected by the local gene pool and this graph should not be over interpreted for skin group frequency Example 2: Finch Beak Depth Finches are seed eating birds that use their beaks to break open seeds. The depth of beak is under polygenic control of three genes with two alleles each. * Produce the Punnett square for the following cross between two birds which are heterozygous at all three loci. Allele key: * A= add depth * a= no depth added * * B= add depth b= no depth added * * C= add depth c= no depth added cross: Example Wheat Color Wheat polygenics was first worked out in 1909 by Nilsson- Ehile Each of the alleles (for the three genes) of the wheat has a small effect on the phenotypic variation for color. The additive effect produces the continuous variation that is found in Wheat red coloration Cross: * Two plants heterozygous at each 3 gene loci * calculate the phenotypic ratio and draw a graph of the phenotypic variation Allele Key: * 3 genes with 2 alleles each. A, B and C * Each 'dominant' allele produces one unit of color. * The homozygous dominant at all three loci produces dark red wheat. * The homozygous recessive at all three loci produces pale white color. Example: Wild Columbine Another example of how the height of a plant is controlled by a polygenic system. Here there are two genes each with two alleles. Again cross two heterozygotes at each loci. Allele key: * M1= Tall plant * M2= Small plant * * N1=Tall plant N2=Small plant Example Chicken Combs Controlled by two genes this produces four phenotypes. * * Using the allele key: gene 1: P and p gene 2: R and r Exercise: Produce a completed allele key and a punnett grid with genotypic and phenotypic ratios that explain the phenotypes