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In genetics, a homozygous recessive condition means possession of two copies of the same recessive allele. In case of a population, the incidence of this condition refers to how common this genotype is. It usually represents the proportion of the population possessing two copies of the recessive allele.

Allele frequencies refer to how common an allele is in a population. It is expressed in a decimal or percentage, denoting how much proportion of all the given alleles is represented by one specific allele. It can be established by dividing the number of specific alleles by the total number of alleles in the population. One crucial factor here is the Hardy-Weinberg Principle, which asserts, in absence of other influences, the genetic structure of a population remains constant. Under this principle, the incidence of homozygous recessive condition (represented as \(q^2\)) is square rooted to gain the frequency of the recessive allele (\(q\)). The frequency of the dominant allele (\(p\)) is then calculated by subtracting \(q\) from 1 because \(p + q = 1\) as per Hardy-Weinberg equilibrium.

The information about the incidence of homozygous recessive condition is essential for deriving allele frequencies as it provides direct insight about the frequency of recessive allele or \(q\). As these allele frequencies are instrumental in the study of genetic variation and evolutionary biology, knowing the incidence sheds light on population genetics features, disease propagation, biodiversity, etc. Moreover, it can aid in potential genetic counseling, disease prevention strategies, health care planning, and diagnosis.