Small animal populations are vulnerable to the erosion of genetic variability. When few breeding animals contribute genes to the next generation, relatedness increases, heterozygosity declines and harmful recessive alleles are more likely to be expressed. This case study uses simple quantitative genetics concepts to help students and practitioners understand how inbreeding can be monitored and managed in livestock populations. The case begins with the biological meaning of the inbreeding coefficient, F, and shows how inbreeding reduces heterozygosity from 2pq to 2pq(1 − F). It then introduces effective population size, N e , and demonstrates why the balance between breeding males and breeding females matters more than census size alone. A worked scenario shows that a population with 5 breeding males and 200 breeding females has an idealized N e of 19.5 and an expected ΔF of about 2.6% per generation under equal-contribution assumptions. Practical responses include increasing the number of breeding males, balancing sire use, rotating mating groups, monitoring family representation and securing semen, embryos, somatic cells or DNA in a gene bank. The case trains students and practitioners to move from population inventory to effective population size, risk classification, mating design and cryoconservation planning.
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M’Naouer Djemali (2026) studied this question.
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