PUNNET SQUARES – DIHYBRID CROSSES T=tall, t=short, R=round, r=wrinkled According to the Law of Independent Assortment, a plant that is hybrid for 2 traits will form FOUR different gametes TtRr TR Tr tR tr The combinations that are produced depend on how the chromosomes line up during metaphase in meiosis I The Punnet square for a dihybrid cross has 16 squares (vs. 4 squares for a monohybrid cross) EXAMPLE: #1 What are the possible gametes for the following parents (B=black coat, b= white, R= regular eyes and r= bulging eyes); a) BBRr b) BbRr c) bbRR EXAMPLE #2: Yellow seeds (Y) are dominant over green seeds (y). Round seeds (R) are dominant over wrinkled seeds (r). If two plants that are heterozygous for BOTH traits (dihybrid) are crossed, what will be the phenotype and genotype ratios of the F1 generation? SOLUTION: Parents = YyRr x YyRr YR Yr yR yr YR YYRR YYRr YyRR YyRr Yr YYRr YYrr YyRr Yyrr yR YyRR YyRr yyRR yyRr yr YyRr Yyrr yyRr yyrr Phenotype: 9 yellow round: 3 yellow wrinkled: 3 green round: 1 green wrinkled Genotype: 1 YYRR 2 YYRr 2 YyRR 4 YyRr (yellow round) 1 YYrr 2 Yyrr (yellow wrinkled) 1 yyRR 2 yyRr (green round) 1 yyrr (green wrinkled) EXAMPLE #3: A pea plant that heterozygous for the traits tall (T) and round seeds (R), is crossed with a dwarf with wrinkled seeds. Determine the phenotype and genotype ratios of the F1 generation SOLUTION: Parents = TtRr x ttrr TR TtRr TtRr TtRr TtRr tr tr tr tr Tr Ttrr Ttrr Ttrr Ttrr tR ttRr ttRr ttRr ttRr tr ttrr ttrr ttrr ttrr Phenotype: 4 tall round: 4tall wrinkled: 4dwarf round: 4dwarf wrinkled =1:1:1:1 Genotype: 4 TtRr : 4 Ttrr : 4 ttRr : 4 ttrr =1:1:1:1 EXAMPLE #4: In mice, grey coat colour (G) is dominant to white coat colour (g), and long tail (T) is dominant to short tail (t). What fraction of F1 mice would you predict to have grey coats and short tails if a male ggTt parent is crossed with a female GGtt parent? SOLUTION: Parents = ggTt x GGtt gT GgTt GgTt GgTt GgTt Gt Gt Gt Gt gT GgTt GgTt GgTt GgTt gt Ggtt Ggtt Ggtt Ggtt gt Ggtt Ggtt Ggtt Ggtt Phenotype: 8: grey, long tail: 8 grey short tail = 1:1 Genotype: 8 GgTt : 8 Ggtt = 1:1 Therefore the fraction of mice with grey coats and short tails is 8/16 = 1/2. Probability and Product Law Genetic ratios are probabilities Recall: a 3:1 ratio for widow’s peak: straight hair means that there is a 1 in 4 or a 25% chance that offspring will be born with straight hair The product law states that the probability of two random events occurring is the product of the individual probabilities of each event Ex. The probability of having a boy as the first child is 50% or ½ and the probability for having a boy as the 2nd child is 50% or ½. Therefore the probability of having two boys in a row is ½ x ½ = ¼ or 25% We can predict the probability of dihybrid crosses using the product law EXAMPLE 5: Fill in the table Round or wrinkled: monohybrid Round seed (Rr x Rr) Yellow or green seed: Dihybrid cross Yellow seed (Yy x Yy) Dihybrid cross probability Round yellow seed (RrYy x RrYy) Continuous variation and additive alleles Continuous variation: when the product of one gene is affected by the product of another gene. The effects can be additive of negate another product. When phenotype variation is not clear cut Explains the extensive variation in our population Examples: skin colour- controlled by three or more genes Additive allele: the product of one allele comprises one part of the total phenotype An example of continuous variation Example: the colour of skin depends on which combination of the six alleles is expressed. Each allele makes its own contribution to the pigment of our skin