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Sexual selection and sympatric speciation

G.S. van Doorn (CEES Progress Report, 2004)

In the last couple of years there has been a revival of interest in the process of speciation. In particular, it has become clear that speciation might to a much larger extent be governed by adaptive (and, hence, predictable) processes than envisaged by classical speciation theories, where speciation is usually assumed to be initiated by external factors, such a geographical segregation. Two recent theoretical developments, from different lines of ../../index, have alleviated two longstanding difficulties in the theory of sympatric speciation. First, sympatric speciation requires, almost by definition, the evolution of a specific mating structure enabling reproductive isolation. Classical models had problems to explain the evolution of assortative mating under general and plausible conditions. A suite of new models demonstrates that these problems can be overcome if sexual selection is the driving force behind the evolution of reproductive isolation. Second, reproductive isolation is not sufficient to ensure the sympatric coexistence of daughter species. These incipient species can only survive if reproductive isolation is associated with ecological differentiation. Only recently, evolutionary branching theory has provided a plausible mechanism for the evolution of ecological differentiation in the presence of disruptive selection. Based on these new insights, a new generation of "ecological" and "sexual selection" models of sympatric speciation has been developed. The two ../../index lines focus on two different aspects (ecological differentiation and reproductive isolation), which are both crucial for a full understanding of speciation. Yet, both lines have largely been developed in isolation.

To provide a conceptual bridge between the two lines, we developed and analyzed a combined model, which, for the first time, integrates the ecological and sexual selection aspects of sympatric speciation (Van Doorn & Weissing, 2001; see Fig. 1). Using a combined analytical and individual-based simulation approach, we were able to show that sympatric speciation is feasible, and that it indeed requires the simultaneous development of ecological differentiation ("ecological branching") and assortative mating ("mating type branching"). Both types of evolutionary branching can be understood as the outcome of a competition process in which individuals compete for a spectrum of either ecological resources or mating opportunities.

Figure 1: Sympatric speciation by the simultaneous evolution of ecological differentiation and assortative mating. The three panels show the distribution of ecological and mating types during 4000 generations of evolution. In the first phase of evolution, ecotype evolves towards the ecological optimum (dashed line). At the optimum, the population experiences disruptive selection. This does lead to an increase in the variation of ecotypes, but not to ecological differentiation, because assortative mating has not yet evolved. During this initial phase (the first 1500 generations), male and female mating type evolve jointly towards the optimum for male survival (dashed line). Several times (arrows), polymorphisms of mating type originate, but these turn out to be unstable due to competitive exclusion and viability selection against extreme mating types. After 1500 generations, simultaneous branching of ecotype and mating strategies repeatedly splits the population into groups that are ecologically differentiated and, at the same time, reproductively isolated.

Our analysis highlights that an integrated “eco-evolut­ionary” view is required to arrive at a really convincing theory of speciation. Keeping this basic insight in mind, we then specific­ally focused on the role that sexual selection plays in this context. In fact, several questions had not yet been answered satisfactorily by our speciation model. Like all other sexual selection models of sympatric speciation, our model required a high variation in female preferences to obtain divergence of male mating types. In our model, this variation was the result of mutation-selection balance, i.e. of a combination of high mutation rates and weak selection. Other models assumed a dramatic change in the environment, exposing previously hidden preferences to selection. These and similar assumptions are not very satisfactory in that they, again, require external or non-adaptive factors to get the process of sympatric speciation started.

To explore the possibility of a truly “adaptive” road towards sympatric speciation, we investigated a model where the variation in female preferences could be caused by diversi­fying selection, rather than by mutation or by external events (Van Doorn, Dieckmann & Weissing, 2004). By means of a general argument, verified by individual-based computer simulations, we could show that selection on female preferences has to be frequency dependent in order to get divergence of male and female mating types. If the fitness of females only depends on their own preference, and not on the preferences of other females, mating type branching cannot occur, and the population will always end up in a monomorphic state with one type of preference and the corresponding male mating type (see Fig. 2).

Figure 2: Disruptive selection on female preferences per se does not induce sympatric speciation. To formalize the idea that sympatric speciation by sexual selection is caused by the simultaneous occurrence of two Fisherian runaway processes, proceeding in opposite direct­ions, we consider the example of a female choice function (thick blue line) that allows for such a bidirectional runaway. Two representative individual-based simulations (red circles and red triangles, respectively) are shown that both were started exactly at the point where sexual selection is disruptive. Neverthe­less, the two simulations show no speciation. After an initial phase of dimorphism in male traits, each simulation run tends towards either one of two possible stable equilibria where female prefer­ence for extreme male traits has evolved. The simulation results are confirmed by an analytical ‘adaptive dynamics’ approach (grey lines with arrows: evolutionary trajectories; green and orange lines: null-isoclines). From this approach, the general conclusion can be drawn that population divergence is extremely unlikely if selection on female preferences is not frequency dependent.

Hence, selection on female preferences has to be disruptive and frequency dependent to initiate reproductive isolation and speciation. However, disruptive frequency dependent selection on female preferences is not sufficient to achieve the simultaneous divergence of female preferences and male mating types. On the contrary, we could show that for a broad class of models branching of female preferences and branching of male mating types exclude each other: whenever selection on female preferences is disruptive, selection on male mating types is stabilizing, and vice versa. From this, one may conclude that truly adaptive speciation by sexual selection is much less easy to achieve than many current models seem to suggest.

In principle, however, adaptive speciation by sexual selection is possible, provided that several disruptive forces are working in concert. We could demonstrate this by building the first truly adaptive model of sympatric speciation (Van Doorn, Dieckmann & Weissing, 2004; see Fig. 3). To this end, we added male-male competition as an additional disruptive factor into our model. The model structure was motivated by empirical findings on cichlids, where female choice and male-male competition are closely interrelated. Our model is, therefore, perhaps not too far removed from real-world situations. But it clearly indicates that sympatric speciation is not easy to achieve, and that much more ../../index is required to fully understand the emergence of reproductive isolation in sympatry.

Figure 3: Sympatric speciation by sexual selection became possible when both competition between females (i.e., frequency dependent selection on female preferences) and additional disruptive selection in males (caused by male-male competition) were incorporated into our model. This is one of the first examples for truly ‘adaptive’ speciation by sexual selection. The two plots show the relative frequency distributions of male-trait and female-preference genotypes in an individual based simulation (indicated by a color scale) as well as the corresponding adaptive dynamics approximation (black lines). The good agreement between analytical prediction and simulation results indicate that speciation events are predictable and not purely the effect of chance events.

Sympatric speciation theory has, up till now, mainly considered Fisherian sexual selection as a potential source of divergence in sexually selected traits. In principle, however, there is a possibility that not only “arbitrary” preferences diversify in the course of evolution, but also preferences for indicators of male quality. Here one might think of systems with multiple ornaments, where different preferences might give different weights to the various ornaments. To investigate this possibility, new theory had to be developed (Van Doorn & Weissing, 2004), since the existing models for the evolution of preferences for multiple ornam­ents are not very satisfactory. In particular, present models predict that only one of the ornaments can be an indicator of quality, while the other ornam­ents are “arbitrary”, i.e., maintained by Fisherian runaway selection. In contrast to earlier models, we considered the possibility that different ornaments provide information about different aspects of male quality (e.g., resistance to parasites vs. foraging ability). In other words, the ornaments in our model act as signals for distinct quality components. When the ornaments provide overlapping information about these quality components, we retrieve the results of earlier models. However, when the ornaments provide independent inform­ation, preferences for multiple ornaments may evolve by a “good genes” process, even when exhibiting multiple preferences is costly (see Fig. 4). This is good news for behavioural ecologists, who in view of empirical counter-evidence tend to distrust the earlier theoretical results. We will take our new insights as a starting point for a re-eval­uation of the role of sexual selection on quality indicators in the process of speciation.

Figure 4: Sexual selection for multiple ornaments that act as signals for multiple components of male quality. In panels (A) and (B), the ornaments provide overlapping information about the quality components. This corresponds to earlier models viewing “quality” as a one-dimensional trait. In line with earlier models, multiple preferences evolve in (A) but not in (B), due to the fact that the joint cost of choice is low in (A) but high in (B). In panel (C), the joint cost of choice is high, as in (B), but the ornaments now provide independent information about the quality components. Despite the high joint cost of choice, multiple preferences evolve. Analytical results confirm that the individual-based simulations shown in this figure are indeed representative.

In the course of our work on multiple ornaments we made another observation that is potentially of great importance for the whole theory of sexual selection. Several general results of the theory rely on the assumption that female preference and male ornament expression eventually converge to a stable equilibrium. Examples of such results are the conclusion that no stable preference can evolve for ornaments that are purely epistatic indicators, or the conclusion that females should disregard all ornaments except the one that provides the most reliable information about genetic quality. We showed that the assumption of equilibrium dynamics is problematic and we characterized conditions under which female preference and male condition-dependent signaling continue to evolve without ever attaining stable equilibrium levels. Such limit cycles had been described before in the context of Fisherian runaway selection, but now we demonstrate that continual evolution can also be driven by the joint action of a “good genes” process and a sexual conflict over the information content of signals used in mate choice. Although the existence of this conflict has long been acknowledged, its consequences had never been investigated. Our model illustrates that non-equilibrium dynamics may have major implic­at­ions, since many of the standard results of sexual selection theory (including those ment­ion­ed above) do no longer apply away from equilibrium. The model also provides a mech­an­ism for the apparent frequent loss of sexually selected traits, and it offers an alter­native explanation the evolution of preferences for multiple ornaments. Moreover, the model illustrates the importance of genetic con­straints on the quantitative and qualitative outcome of sexual selection (see Fig. 5). It is intriguing to see how strongly the new results parallel those in a very different ../../index line, where we showed earlier (in the context of resource competition) that many seemingly well-established results in ecology and evolution only hold if the system does indeed settle on an equilibrium (Huisman & Weissing 1999, 2001ab, 2002, Scheffer et al. 2003).

Figure 5: Sexual conflict may result in ongoing cycles in the strength and direction of female preference for a costly male ornament that is expressed conditional on male quality. The two panels illustrate that, for the same parameter combinations, genetic constraints can be decisive for whether sexual conflict results in an equilibrium (upper panel) or in ongoing oscillations (lower panel). In case of non-equilibrium dynamics, many of the standard results of sexual selection theory cease to hold.

In addition to female choice, we also addressed male-male competition, the second major aspect of sexual selection and an important ingredient in some of our speciation models (e.g. Van Doorn & Weissing, 2004). In two articles (Van Doorn, Hengeveld & Weissing, 2003ab), we addressed the question why dominance hierarchies do exist, why they are stable, and why one often observes “winner and loser effects”. In many species, difference in dominance rank is used as a cue to resolve conflicts between two animals without escal­ated fights. At the group level, adherence to a dominance convention efficiently reduces the costs associated with conflicts, but from an individual’s point of view, it is difficult to explain why a low ranking individual should accept its subordinate status. This is especially true if, as suggested by several authors, dominance not necessarily reflects differences in fighting ability but rather results from arbitrary historical asymmetries. According to this idea, rank differentiation emerges from winner and loser effects, in which winners of previous conflicts are more likely to win the current conflict, whereas the losers of previous conflicts are less likely to do so.

By means of game theoretical models, we investigated whether and under what conditions dominance, based on winner and loser effects, can indeed be evolutionarily stable. Even in highly simplified scenarios we found a multitude of alternative evolutionarily stable strategies (ESS). All these strategies utilize the asymmetries generated by the outcome of previous conflicts as cues for conflict resolution. One class of these strategies is based on winner and loser effects, thus generating evolut­ion­arily stable dominance relations even in the absence of differences in strength or fighting ability. However, in view of the fact that alternative conventions are also evolutionarily stable, the question why winner and loser effects seem to occur so often in natural systems is by far not resolved. Still, our game theoretical results provide an interesting link to the ../../index line of Hemelrijk (see Progress Report 2004: "Understanding social behaviour with the help of complexity science" by C.K. Hemelrijk), who uses winner and loser effects as a starting point for the explanation of the various features of egalitarian and despotic societies.

Last modified:03 December 2015 12.54 p.m.