The evolution of anisogamy: a game-theoretic approach

A popular theory has proposed that anisogamy originated through disruptive selection acting on an ancestral isogamous population, though recent work has emphasized the importance of other factors in its evolution. We re-examine the disruptive selection theory, starting from an isogamous population with two mating types and taking into account the functional relationship, g(m), between the fitness of a gamete and its size, m, as well as the relationship, f(S), between the fitness of a zygote and its size, S. Evolutionary game theory is used to determine the existence and continuous stability of isogamous and anisogamous strategies for the two mating types under various models for the two functions g(m) and f(S). In the ancestral unicellular state, these two functions are likely to have been similar; this leads to isogamy whether they are sigmoidal or concave, though in the latter case allowance must be made for a minimal gamete size. The development of multicellularity may leave g(m) relatively unchanged while f(S) moves to the right, leading to the evolution of anisogamy. Thus, the disruptive selection theory provides a powerful explanation of the origin of anisogamy, though other selective forces may have been involved in the subsequent specialization of micro- and macrogametes.     

Cooperation and the evolution of anisogamy

In the lights of the concept of cooperation wholes, I discuss why the differentiation of sperm and ova can occur with a mathematical model. Most of Parker's explanations for anisogamy are not completely proper, because it is proved that sperm competition is neither sufficient nor necessary for anisogamy and cooperation to deal with fertilization risks is the real key to understand the evolution of anisogamy. According to the computer simulation results, the transport of gametes between different individuals, risks of the transport, the consequent inequality of sperm and eggs and competition among different individuals were the main causes of gamete differentiation. But these factors have different roles and effects. The transport risk is the main reason for individuals of different mating types to cooperate and differentiate into sperm and egg producers. The transported gametes have an advantage to evolve into sperm to seek for a larger gamete number over the fixed gametes, because they suffer more risks as they can encounter the same fixed gamete and less sibling competition as they can be dispersed better. Gamete competition among different individuals just causes the transported gametes to become as small as possible if they have already become smaller beyond a critical state. In the final discussion, I further put the evolution of anisogamy into a broader background of levels of selection and of the evolution of cooperation, the most important existential mode of matters that makes life as life.     

Gametic conflict versus contact in the evolution of anisogamy

Anisogamy refers to gametes that differ in size, and characterizes the difference between males and females. The evolution of aniosgamy is widely interpreted as involving conflict between gamete producers with small sperm parasitizing on the investment made by the eggs. Using a population genetic model for evolution at a locus that codes jointly for sperm and egg sizes of a hermaphrodite, we show that the origin of anisogamy in an externally spawning population need not involve conflict between gamete producers. Gamete size dimorphism may be an adaptation that increases gamete encounter rates when large zygotes are selected, and we show this in a mechanistically general individual selection model. We use the Vance survival function without specific allometric assumptions to model the zygote fitness dependence on its size, and hence obtain ecological and life-history correlates of isogamy and anisogamy, which we successfully compare with data from Volvocales.     

The population genetics of anisogamy

This paper analyses the population genetics of anisogamy controlled by a single locus, in both the haploid and diploid cases. The conclusions of Parker et al. (1972), based on computer calculations, are confirmed analytically. The effects of the existence of two mating types on the evolution of anisogamy are examined. Close linkage between a mating type locus and the gamete size locus may produce non-random associations of alleles, leading to disassortative fusion with respect to gamete size. With loose linkage, there is random association of alleles, but selection favours closer linkage.     

A comparative test of a theory for the evolution of anisogamy

Why are sperm small and eggs large? The dominant explanation for the evolution of gamete size dimorphism envisages two opposing selection pressures acting on gamete size: small gametes are favoured because many can be produced, whereas large gametes contribute to a large zygote with consequently increased survival chances. This model predicts disruptive selection on gamete size (i.e. selection for anisogamy) if increases in zygote size confer disproportional increases in fitness (at least over part of its size range). It therefore predicts that increases in adult size should be accompanied by stronger selection for anisogamy. Using data from the green algal order Volvocales, we provide the first phylogenetically controlled test of the model''s predictions using a published phylogeny and a new phylogeny derived by a different method. The predictions that larger organisms should (i) have a greater degree of gamete dimorphism and (ii) have larger eggs are broadly upheld. However, the results are highly sensitive to the phylogeny and the mode of analysis used.     

The evolution of anisogamy: the adaptive significance of damage, repair and mortality

Classic theory on the evolution of anisogamy focuses on the trade-off between gamete productivity and provisioning and mechanisms associated with post-zygotic survival. In this article, the role of mortality acting on both zygotes and gametes is explored as a factor influencing the evolution of different sized gametes. In particular, variable mortality through differential survival or metabolic damage is shown to affect the persistence of isogamy, the evolution of more than two sexes and the evolution of anisogamy. Evolutionary stable isogamous states are shown to be locally unstable and disruptive selection can induce the evolution of anisogamy. Analysis of both the isogamous and anisogamous ESS points reveals that the persistence of either of these conditions is not always assured. The implications of variable survival on the evolution of anisogamy are discussed.     

Parasite diversity and the evolution of diploidy, multicellularity and anisogamy

It may be reasonably assumed that a diversity of parasite genotypes in any one cell or organism is more harmful than a population of uniform genotypes. If this is accepted the following consequences follow: (i) Parasite mixing, due to cytoplasm mixing, at the time of zygote formation is a new and additional cost of sex. The rapid divisions typical of zygotic cleavage may be viewed as an adaptation to minimize the degree of mixing of parasites in each daughter cell. The faster the divisions the less chance parasite populations have to grow and mix. Mitosis is the fastest form of cell division. Prolongation of the diploid phase follows as a consequence of mitosis in a diploid zygote. This view is unusual in that it demands no advantage per se to the possession of two chromosome sets. (ii) The cells of the blastula formed from rapid zygotic divisions are different as regards their symbiotic inclusions. If the right to gametogenesis is restricted, then every replicator symbiont and nuclear genome alike and hence every cell of the developing embryo, will have an incentive to compete. Selection between the clonal blastula cells would result in the cells of low parasite diversity forming the gametes. Thus, germ line restriction is in the interests of the nuclear genome. Controlling the right to gametogenesis is only possible if the blastula remains intact. Hence, multicellularity might have evolved so as to enable the limitation of the right to gametogenesis and hence reduce the parasite diversity of gametes. Inter-cell competition during embryogenesis is central to Buss's seminal notion of the evolution of developmental complexity within the metazoa. The above theory provides the missing motive force behind such competition. (iii) For a given zygote size, the fittest zygotes are those produced by the gametes most disparate in size because these have a lower diversity of parasites. This may be the advantage of anisogamy. The novelty of this new view of anisogamy is that it puts a premium on sperm being very small, in order to exclude parasites from sperm cytoplasm. The hypothesis is briefly tested by examining if there are alternative means of parasite limitation in organisms with large gametes.     

On the evolution of anisogamy from isogamous monoecy and on the origin of sex

A new hypothesis is established for the evolution of anisogamy in isogamous monoecious haploid unicells. Contrary to present concepts, it is assumed that in such isogamous ancestors the genetically identical gametes are bipolarly different as (+) and (?). The gametic differentiation of a monoecious taxon may be perceived as a phenocopy of that of a related dioecious form. The two gametic phenotypes result from alternative pathways of sexual differentiation. The alternative must be controlled by a sensible switch mechanism that responds to minor differences between vegetative cells when gametogenesis is triggered. Cell-size dependent factors are assumed to be able to influence the switch mechanism causing bigger cells to be of one sex, smaller cells of the other. Fertilization then occurs selectively between big and small gametes because of their sexual difference. Size-different gametes within one species may arise from different types of gametogenesis depending on how many gametes one vegetative cell produces. These assumptions, i.e. the bipolarity of isogametes, in monoecious taxa, size-dependent sex determination, and different types of gametogenesis within one taxon, are justifiable since they are realized independently from each other in various species. It is postulated that mutational fixation of the size-dependent sex determination in such monoecious species creates cell lineages producing sex-different macro- and microgametes and establishes constitutional anisogamous dioecy. The proposed hypothesis clearly separates the evolution of anisogamy as a problem of sexual reproduction from the evolution of sex per se, sex being defined as a bipolarity effecting fertilization.     

Simulation of gamete behaviors and the evolution of anisogamy: reproductive strategies of marine green algae

In marine green algae, isogamous or slightly anisogamous species are taxonomically widespread. They produce positively phototactic gametes in both sexes. We developed a new numerical simulator of gamete behavior using C++ and pseudo-parallelization methods to elucidate potential advantages of phototaxis. Input parameters were set based on experimental data. Each gamete swimming in a virtual rectangular test tank was tracked and the distances between the centers of nearby male and female were measured at each step to detect collisions. Our results shed light on the roles of gamete behavior and the mechanisms of the evolution of anisogamy and more derived forms of sexual dimorphism. We demonstrated that not only gametes with positive phototaxis were favored over those without, particularly in shallow water. This was because they could search for potential mates on the 2-D water surface rather than randomly in three dimensions. Also, phototactic behavior clarified the difference between isogamy and slight anisogamy. Isogamous species produced more zygotes than slightly anisogamous ones only under the phototactic conditions. Our results suggested that sperm limitation might be easily resolved particularly in the slightly anisogamous species. Some more markedly anisogamous species produce the smaller male gametes without any phototactic devices and the larger positively phototactic female gametes. In such species, female gametes attract their partners using a sexual pheromone. This pheromonal attraction system might have played a key role in the evolution of anisogamy, because it could enable markedly anisogamous species achieve 2-D search efficiencies on the water surface. The mating systems appear to be tightly tuned o the environmental conditions of their habitats.     

The origination events of gametic sexual reproduction and anisogamy

Journal of Ethology - The evolution of gametic sex (meiosis and fertilization) and subsequent transition from isogamy (fusion between two equal-sized gametes) to anisogamy (dimorphism into eggs and...     

Selection for high gamete encounter rates explains the evolution of anisogamy using plausible assumptions about size relationships of swimming speed and duration

A previous general model describing physical constraints on gamete encounter rates was modified to incorporate assumptions that increased size causes decreased swimming speed and increased fertile period (or other proportional enhancement to gamete fertility). The analysis indicates that with moderately strong size dependence of fertile period and a range of speed dependencies, selection for high encounter rates pressures mating systems that develop any heritable difference in size between the gametes of different mating types to exaggerate the difference and evolve from isogamy to anisogamy. The smaller gamete has an optimal size, but the larger faces continuing selection for increased size. This continues to a size that is estimated to be sufficient to make pheromone production of sperm attractants practical. This mechanism then bridges the missing link between isogametes and oogamy in a previous analysis of the effectiveness of pheromones in explaining the success of male-female mating systems. The evolution and success of anisogamy and oogamy can be explained solely on the basis of physical effects on the encounter process.     

The evolution of concerted evolution

Concerted evolution is a consequence of processes that convert copies of a gene in a multigene family into the same copy. Here we ask whether this homogenization may be adaptive. Analysis of a modifier of homogenization reveals (1) that the trait is most likely to spread if interactions between deleterious mutations are not strongly synergistic; (2) that selection on the modifier is of the order of the mutation rate, hence the modifier is most likely to be favoured by selection when the species has a large effective population size and/or if the modifier affects many genes simultaneously; and (3) that linkage between the genes in the family, and between these genes and the modifier, makes invasion of the modifier easier, suggesting that selection may favour multigene families being in clustered arrays. It follows from the first conclusion that genes for which mutations may often be dominant or semi-dominant should undergo concerted evolution more commonly than others. By analysis of the mouse knockout database, we show that mutations affecting growth-related genes are more commonly associated with dominant lethality than expected by chance. We predict then that selection will favour homogenization of such genes, and possibly others that are significantly dosage dependent, more often than it favours homogenization in other genes. The first condition is almost the opposite of that required for the maintenance of sexual reproduction according to the mutation-deterministic theory. The analysis here therefore suggests that sexual organisms can simultaneously minimize both the effects of deleterious, strongly synergistically, interacting mutations and those that interact either weakly synergistically, multiplicatively, or antagonistically, assuming the latter class belong to a multicopy gene family. Recombination and an absence of homogenization are efficient in purging deleterious mutations in the former class, homogenization and an absence of recombination are efficient at minimizing the costs imposed by the latter classes.     

The evolution of inequality

Understanding how systems of political and economic inequality evolved from relatively egalitarian origins has long been a focus of anthropological inquiry. Many hypotheses have been suggested to link socio‐ecological features with the rise and spread of inequality, and empirical tests of these hypotheses in prehistoric and extant societies are increasing. In this review, we synthesize several streams of theory relevant to understanding the evolutionary origins, spread, and adaptive significance of inequality. We argue that while inequality may be produced by a variety of localized processes, its evolution is fundamentally dependent on the economic defensibility and transmissibility of wealth. Furthermore, these properties of wealth could become persistent drivers of inequality only following a shift to a more stable climate in the Holocene. We conclude by noting several key areas for future empirical research, emphasizing the need for more analyses of contemporary shifts toward institutionalized inequality as well as prehistoric cases.     

The evolution of androgenesis

It is well known that some species produce offspring carrying only female chromosomes by processes such as apomixis and parthenogenesis (generically termed "gynogenesis"). There are also several cases of natural reproduction by androgenesis in which diploid offspring carry nuclear chromosomes from only the male parent. We used population genetics models to investigate the conditions for invasion of rare androgenesis alleles and the consequences of their spread. Our models predict that androgenesis alleles often spread to fixation. If fixation causes the loss of females or female function in the population, population extinction occurs. Therefore, androgenesis alleles represent a new class of selfish genetic elements. Extinction is more likely in dioecious species than in hermaphrodites. Within dioecious species, extinction is more likely when androgenesis occurs via paternal apomixis (vs. fusion or doubling of haploid nuclei) and when females are the heterogametic sex (vs. male heterogamety). The apparent rarity of androgenesis compared to gynogenesis could be because androgenesis is harder to detect and more often leads to population extinction. Also, there could be greater evolutionary constraints on the origin of mutations for androgenesis. We suggest characteristics of groups in which further cases of androgenesis are more likely to be found.     

The evolution of histones

Summary The amino acid sequences of bovine histones H2A, H2B, H3, and H4 and the first 107 residues of rabbit thymus histone H1 were examined using newly developed procedures designed to detect and evaluate weak similarities (de Haën et al., 1976). Using the McLachlan scoring system, regions of statistically significant similarity were found between several pairs of the four smallest histones. The probability that this set of similarities could result simply from chance was estimated to be less than 10^–5. No similarity was found between the H1 sequence and the other histones. The results are interpreted to indicate that at least the C-terminal portions of the core histones evolved from a common ancestral protein.