[ELI5] So if one circumstance of genetic equlibrium required for Hardy–Weinberg law to work is random mating, how are the frequencies of alleles and genotypes determined by this law constant when random mating is sexual reproduction…

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…so it leads to recombination and therefore change of allele frequencies?

With that being said, shouldn’t the circumstance be “no mating at all” to make the law determine frequencies at one specified moment?

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The Hardy-Weinberg law assumes random mating and no other factors affecting the frequency of alleles and genotypes in a population. It is a theoretical baseline used to understand the effects of different evolutionary pressures and processes on genetic variation in populations. In reality, populations do not always conform to the assumptions of random mating and no evolutionary forces, but the law still provides a useful framework for analyzing genetic data. So, the frequency of alleles and genotypes can change over time due to a variety of factors, including sexual reproduction, mutation, genetic drift, selection, migration, and more.

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