Achondroplastic dwarfism is an inherited condition. In one study, 108 achondroplastic dwarfs produced 27 offspring, while 457 non-dwarf individuals produced 582 children. What is the relative fitness of the achondroplastic dwarf genotype?
Please explain your answer.
Relative fitness is the ratio of the offspring produced by any each individual of a genotype to the number of offspring produced by the genotype with the highest number of offspring per individual.
Here,
Number of individuals with Achondroplastic dwarfism = 108
Number of Non-dwarf individuals = 457
Number of offspring of non-dwarf individuals = 582
Number of offspring of Achondroplastic dwarf individuals = 27
Reproductive rate of Achondroplastic dwarf individuals
= Number of offspring of Achondroplastic dwarf
individuals/Number of individuals with Achondroplastic
dwarfism
= 27/108 = 0.25
Reproductive rate of non-dwarf individuals
= Number of offspring of non-dwarf individuals/Number of non-dwarf
individuals
= 582/457 = 1.27
Therefore relative fitness of the Achondroplastic dwarf
genotype
= Reproductive rate of Achondroplastic dwarf
individuals/Reproductive rate of non-dwarf individuals
= 0.25/1.27 = 0.196
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