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In animals, hybrid sterility and inviability between closely related species often affect only the heterogametic sex (XY). This widespread phenomenon, known as Haldane's rule, is an early speciation event found across broad taxa, but the role of heterogametic hybrid incompatibilities, as opposed to homogametic ones, as a barrier in a speciation process remains obscure. It has been hypothesized that heterogametic incompatibility may be a more efficient mechanism in driving speciation. The population dynamics after (rather than before) the occurrence of sex-biased incompatibilities may account for Haldane's rule. In this study, a recursion model of hybrid zones was developed to investigate the differences between heterogametic and homogametic incompatibilities. The selection strengths and selection patterns of sex chromosome-linked, two-locus Bateson-Dobzhansky-Muller (BDM) genetic incompatibilities were examined. It is noted that a sex-biased hybrid incompatibility in a hybrid zone confers asymmetric and uneven impedance to gene flow. The clines of different loci in such a hybrid zone displayed diverse differentiation in their width, steepness and asymmetry. Alleles involved in the incompatibility face much stronger resistance to cross a hybrid zone. Different sex-biased BDM incompatibilities also affect the flow of neutral alleles differently. Compared to a homogametic one, heterogametic incompatibility is a weaker but more asymmetric barrier. These unique patterns of gene flow may explain uneven divergence among different genomic regions during speciation between some closely related species.

Differential barrier strength and allele frequencies in hybrid zones maintained by sex-biased hybrid incompatibilities