10.2Dihybrid crosses and gene linkage 10.2.1 Calculate and predict the genotypic and phenotypic ratio of offspring of dihybrid crosses involving unlinked autosomal genes. Terminology: Dihybrid crosses involve two genes that control two characteristics. Unlinked genes are found on different chromosomes and can be segregated by random assortment of meiosis following metaphase II. Autosomal chromosomes are those chromosomes other than the XY gender determining chromosomes. Genes on autosomal chromosomes are not sex linked. The following is a worked example of a dihybrid cross. Other examples are included for you to calculate Mendel's Dihybrid cross with Peas Phenotypes: Smooth Yellow Seeds X Rough Green Seeds The chromosomes are shown as homologous pairs but not as bivalents. a. Smooth is dominant to Rough b. Yellow is dominant to green Meiosis:This process reduces the chromosome number and randomly assorts the alleles for each gene. Since the parents are homozygous (SSYY or ssyy) they each produce only one type of gamete. Fertilisation:Random fertilisation of the gametes occurs. Offspring:The offspring are heterozygous at each gene loci (SsYy). Notice the chromosome number is restored to the that of the parents. New homologous pairs are produced The offspring are crossed = F1 x F1 (F1 self) Meiosis Meiosis: Independent assortment of alleles can be seen here. All allele combinations of gametes are shown for each parent. Fertilization: The grid shows all offspring genotype combinations from random fertilization. This ratio is called the F2 Dihybrid Ratio and results from a cross between two heterozygous dihybrids.The ratio is a the expected ratio or prediction of the offspring ratio. Actual numbers may deviate from this ratio as each fertilization is a random process The ratio only sets the probability of a particular offspring phenotype arising from a dihybrid cross. Dihybrid Calculation Problems Write out your answers you will need them for section 8.2.2 Example1: Capercaille (simple dominance/ recessive) The Capercaille is a ground dwelling bird of the pine forest of Scotland. The length and color of the primary feathers are controlled by two unlinked genes. Using the allele key to the right calculate the phenotypic ratio of an F2 beginning with a cross between a hen bird that is homozygous recessive for both genes and a cock bird that is homozygous dominant for both genes. Example2: Sweet peas (codominance/ dominance) Sweet pea flowers colour is controlled by a codominant pair of alleles. The flowers are white, pink and red. The height of the mature plant is controlled by a gene showing dominance. Calculate the F2 phenotypic ratio for a cross between two heterozygous plants at both gene loci. Example3: Dihybrid Test Cross A suspect heterozygote Guinea pig for coat color and length is crossed with a double homozygote recessive. As with a monohybrid test cross there is a predictable dihybrid test cross ratio which is 1:1:1:1 Example4: Dihybrid with Sex linkage at one gene loci. Colourblind allele loci is found on the non-homologous region of the X chromosome. Tongue rolling alleles are carried on an autosomal chromosome Calculate the phenotypic ratio of a cross between a male tongue roller (heterozygous) with normal vision and a female who is heterozygous at both loci. more dihybrid questions Example5: Epistasis/ Mouse color: Here two genes interact to control one characteristic. Mouse coat color is controlled by two genes. The first produces the pigment and the second controls the banding of the coat color pigment. Mouse coat is either Black(not banded), Agouti(banded) or albino(no color or banding). Agouti is actually a black hair that has a yellow tip and represents the color of wild mice. Calculate the phenotypic ration from a cross between two agouti mice who are heterozygous at both gene loci. Allele Key: Q- Long feather q-short feather A- dark feather color a-light feather color Allele key: A1= white, A2= red B= Tall, b= short Allele key: L = long hair coat l =short hair coat B =Black coat b =brown coat Allele Key: XB= Normal vision Xb= Colourblind Y = Male chromosome T= Tongue roller t = non-tongue roller Allele key: C= Colour produced c = no colour produced A = Banding (agouti/back yellow tip) a =Non banding (black) 10.2.2 Distinguish between autosomes and sex chromosomes Autosomes and Sex Chromosomes Autosomes: Autosomes are all the chromosomes but not the X and Y, the so called sex chromosomes Sex Chromosomes: XY chromosomes, XX in female and XY in males. gene on the chromosomes may be sex linked 10.2.2 Explain how crossing over between non-sister chromatids of a homologous pair in prophase I can result in an exchange of alleles Recombinants from Cross over . Cross over occurs in prophase I of meiosis (see 8.1.2) The diagram shows the loci of genes A and B. The genes are on the same chromosome (A and B are a linkage group) The cross over involves the exchange of lengths of DNA. In doing so the chromosomes of a homologous pair exchange their alleles. When the chromatids separate at anaphase II this will produce new combinations of alleles in the gametes (recombinants). The recombinants in this example are aB and Ab 10.2..3, 10.2.4, 10.2.5. 10.2.6 Explain linkage groups and Linkage Group Crosses. Explain an example of a cross between two linked genes and Identify which of the offspring are recombinants in a dihybrid cross involving linked genes. Linkage group: The genes A and B are a linkage group. If this genotype (AaBb) was crossed with itself would produce a 3:1 ratio not a 9:3:3:1 Linked genes are genes on the same chromosome genes inherited together genes that do not show the expected Mendelian ratios as predicted by the Laws of Independent Assortment example: Sweat Peas (Lathyrus odoratus ) .Allele Key: Flower colour Purple (P) and Red (p) Pollen grain shape, Long (L) and short (l) A cross was made between a plants that where heterozygotes at both gene loci (PpLl). Analysis of date: There is a significant difference between observed data and expected data for linkage (3:1 ratio with no cross over) The data do not agree with the theory )for an unlinked cross with a chi square calculation of P < 5% Conclusion the genes are linked but some cross over has occurred. This famous example comes from the work of W. Batson who rediscovered the work of Mendel and carried out his own experiments in the early 20 Century In linkage crosses the format of the alleles allows us to see which alleles are inherited together and which are recombinants. 1. Using the example of Sweet Peas the genes for Flower colour and pollen grain shape can be shown. This shows the linkage of the P allele with the L allele with the line representing the chromosome. 2. Therefore the heterozygote (at both loci) would be represented as follows 3. A recombinant would show the chromosome after cross over has completed. In this case there could be the following recombinant alleles in the gamete. or Try the following calculations then check your answers on the end of this section Example: Myotonic Dystrophy and AB Secretor disfunction Example: Sweet Peas Allele Key: Allele key for Myotonic Dystrophy Normal (Md) with disease (md) Allele Key for AB Secretor disfunction Normal AB(Se) and Non AB secretion (se) Show the cross of two normal heterozygotes at both gene loci with cross over in one individual. Show genotypes and identify recombinants. Assume Md is linked to Se Flower colour Purple (P) and Red (p) Pollen grain shape, Long (L) and short (l) A cross was made between a plants that where heterozygotes at both gene loci (PpLl). Only one shows cross over in gamete genotypes. Show the possible genotypes and identify recombinants. Assume P is linked to L Example: Drosophila (Fruit Fly) Normal wing (L) is linked to Grey Body (G) whilst Vestigial wing (l) is linked to the mutant black (b) body. A test cross of a potential heterozygote produced the ratio of Grey Normal (283),Grey Vestigial(1294), Black Normal(1418) and Black Vestigial (241) Using Chi square test determine if the genes are linked or unlinked 8.3.4 Identification of recombinant offspring Recombinant are those individuals that show combinations of genes(alleles) or characteristics not seen in the parents Check again the answers to the above crosses. The recombinants have been identified for you