Mathematical modelling provides insights into the fate of this classic hybrid zone.
“Prediction is very difficult, especially about the future.” This quote – often attributed to the Danish physicist Niels Bohr – perfectly captures the challenge of forecasting complex phenomena. Yet, this challenge rarely deters scientists. A common strategy is to construct mathematical models and explore how systems might behave under different assumptions and conditions. Of course, as George Box famously reminded us, “all models are wrong, but some are useful.”
A recent study in the journal Evolution offers a nice example of this modelling approach. Dirk Metzler and his colleagues developed a mathematical model to explore the future of the classic hybrid zone between the Hooded Crow (Corvus [c.] cornix) and the Carrion Crow (Corvus [c.] corone).
Epistatic Interactions
The hybrid zone between the all-black Carrion Crow and the grey-coated Hooded Crow stretches across Central Europe. Previous studies have shown that their distinct plumage patterns are controlled by two interacting genes: a genomic region on chromosome 18 and the NDP gene on chromosome 1 (see this blog post for details). Building on this knowledge, the researchers developed a two-locus model to capture the underlying genetics. They represented the variants on chromosome 18 with capital letters (D = dark, L = light) and the variants of the NDP gene with lowercase letters (d = dark, l = light). The interaction between these variants (known as epistasis) produced seven distinct plumage phenotypes.
When the researchers compared the model predictions with real-world data, they found strong evidence for this epistatic genetic architecture. In contrast, a purely additive model – where each gene contributes independently and the total effect is simply the sum of individual effects – fitted the data poorly. In other words, the observed plumage patterns are not just a matter of adding up gene effects. They depend on how the genes interact. One gene can enhance, mask, or even alter the effect of another.

Assortative Mating
Next, the researchers examined how mate choice influences the dynamics of the hybrid zone. They modeled assortative mating, where individuals prefer partners that share their own appearance. In this scenario, hybrids are at a disadvantage because their rarer, intermediate phenotype makes it harder to find similar mates (a form of postzygotic isolation). This setup produced results that fit the empirical data much better than simpler models, which considered only three broad categories (black, hooded, and hybrid) or assumed no fitness costs for rare phenotypes.
Additional analyses showed that assortative mating could arise either through self-reference or imprinting on the appearance of a parent. Together, these findings highlight the complex interplay between prezygotic (assortative mating) and postzygotic (fitness cost for rare phenotypes) isolation mechanisms in hybrid zones (see also this blog post).

A Disappearing Hybrid Zone
Overall, the modeling exercise confirmed the epistatic interaction between two genetic loci and revealed “a moderate degree of assortative mating inducing pre- and postzygotic isolation via positive frequency-dependent selection”. With this foundation in place, the researchers projected their model into the future to see how the hybrid zone might develop. Interestingly, their results suggested that the hybrid zone will eventually disappear, either because one color morph completely takes over or because the differences between the two forms gradually fade away. Let’s explore one scenario.
Because of the epistatic genetic architecture, several different gene combinations can produce the all-black plumage of Carrion Crows. This means that early on, many hybrids will also appear dark, giving them a mating advantage. As a result, dark morphs become even more common, and the genetic variants responsible for dark plumage spread eastward, slowly shifting the hybrid zone in that direction (arrow C in the figure below).
However, the “light” alleles can move westward without being strongly selected against, slowly mixing into the dark population. Over time, this gradual introgression reduces the overall frequency of “dark” alleles near the hybrid zone (arrows D and E). As the number of dark birds declines, the advantage of being dark fades, and eventually, the movement of the hybrid zone stops. In the long run, the balance tips in the opposite direction: lighter morphs gain the upper hand, pushing the hybrid zone back westward (arrow G). After thousands of generations, the dark alleles are lost entirely, leaving only the lighter Hooded Crows across the region.
It’s a fascinating prediction, but only time will tell whether this scenario will unfold in nature.

References
Metzler, D., Knief, U., Peñalba, J. V., & Wolf, J. B. (2021). Assortative mating and epistatic mating-trait architecture induce complex movement of the crow hybrid zone. Evolution, 75(12), 3154-3174.
Featured image: Hooded Crow in Berlin © Pelican | Wikimedia Commons


