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Inbreeding: Genetic Consequences, Measurement, and Population Structure

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

{"type":"doc","content":[{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Inbreeding: Concepts and Definitions"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Definition and Genetic Consequences"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Inbreeding"},{"type":"text","text":" refers to the mating of individuals who share a common ancestor. This process increases "},{"type":"text","marks":[{"type":"bold"}],"text":"homozygosity"},{"type":"text","text":" in the offspring, meaning that individuals are more likely to inherit identical alleles from both parents. The "},{"type":"text","marks":[{"type":"bold"}],"text":"coefficient of inbreeding (F)"},{"type":"text","text":" quantifies the probability that an individual has two alleles at a locus that are identical by descent (IBD) from a common ancestor."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Increased Homozygosity:"},{"type":"text","text":" Inbreeding raises the proportion of homozygous individuals in a population."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Expression of Deleterious Recessive Alleles:"},{"type":"text","text":" Higher homozygosity increases the likelihood of expressing harmful recessive traits."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Inbreeding Depression:"},{"type":"text","text":" The reduction in biological fitness due to the increased expression of deleterious recessive alleles, leading to lower survival and reproductive success. Homozygous deleterious allele= purgeable. Heterozygous allele (overdominance)= NOT purgeable due to stabling selection/equilibrium"}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/71948c2b_image_8.png","alt":"Diagram of inbreeding depression in elephants, showing inheritance of dominant and recessive alleles","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"data:image/png;base64,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","alt":"","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Mechanisms and Examples of Inbreeding Depression"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Mechanisms Causing Inbreeding Depression"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Increased Homozygosity of Deleterious Alleles:"},{"type":"text","text":" Harmful alleles become homozygous and are expressed phenotypically."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Overdominance (Heterozygote Advantage):"},{"type":"text","text":" Some loci confer higher fitness to heterozygotes than either homozygote. Inbreeding reduces heterozygosity, thus reducing fitness."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Stabilizing Selection:"},{"type":"text","text":" Maintains deleterious alleles in the population due to heterozygote advantage, making them non-purgeable. freq do not change due to heterzygote advantage. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Inbreeding reduces fitness (inbreeding depression): by increasing the number of homozygous deleterious recessives that are identical by descent. "}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/71948c2b_image_11.png","alt":"Graph showing overdominance and stable equilibrium of allele frequencies","title":null,"width":null,"height":null}}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Example:"},{"type":"text","text":" The sickle-cell trait provides resistance to malaria in heterozygotes ("},{"type":"text","marks":[{"type":"italic"}],"text":"ANAS"},{"type":"text","text":"), but homozygotes for the sickle-cell allele suffer from sickle-cell disease. This is a classic case of overdominance."}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"data:image/png;base64,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