Selection in plant populations of effectively infinite size: IV. The maintenance of males among hermaphrodites for a biallelic model

Conditions for the maintenance of males in androdioecious populations (populations with both male and hermaphrodite individuals) have been derived for four different one-locus two-allele models of inheritance of androdioecy. The results are not in general accordance with those already known: depending on the mode of inheritance, males can be maintained irrespective of their fertilities. If males are sufficiently fertile, it may happen that they are maintained only for intermediate selfing rates of the hermaphrodites. A result already found for gynodioecy is confirmed for androdioecy, namely, that a 11 sex ratio is immediately established among zygotes if hermaphrodites appear as heterozygotes only.     

Nuclear androdioecy and gynodioecy

We formulate two single-locus Mendelian models, one for androdioecy and the other one for gynodioecy, each with 3 parameters: t the male (female) fertility rate of males (females) to hermaphrodites, s the fraction of the progeny derived from selfing; and g the fitness of inbreeders. Each model is expressed as a transformation of a 3 dimensional zygotic algebra, which we interpret as a rational map of the projective plane. We then study the dynamics for the evolution of each reproductive system; and compare our results with similar published models. In this process, we introduce a general concept of fitness and list some of its properties, obtaining a relative measure of population growth, computable as an eigenvalue of a mixed mating transformation for a population in equilibrium. Our results concur with previous models of the evolution of androdioecy and gynodioecy regarding the threshold values above which the sexual polymophism is stable, although the previous models assume constant the fraction of ovules from hermaphrodites that are self pollinated, while we assume constant the fraction of the progeny derived from selfing. A stable androdioecy requires more stringent conditions than a stable gynodioecy if the amount of pollen used for selfing is negligible in comparison with the total amount of pollen produced by hermaphrodites. Otherwise, both models are identical. We show explicitly that the genotype fitnesses depend linearly on their frequencies. Simulations show that any population not at equilibrium always converges to the equilibrium point of higher fitness. However, at intermediate steps, the fitness function occasionally decreases.     

Assessment of genetic diversity among androdioecious ancient Osmanthus fragrans trees by SSR markers

The well known ornamental plant, Osmanthus fragrans, is one of the rare androdioecious species in nature. Determining the genetic diversity of this species may assist in its conservation and genetic improvement. Data of 10 ancient tree populations of O. fragrans were used to assess its genetic diversity and population structure with microsatellite markers. A high level of genetic diversity was observed with POPGENE. As anticipated the heterozygosity of ancient hermaphrodite trees was higher than male ones, although the number of hermaphrodites was far fewer than males. Abundant gene exchange between males and hermaphrodites was detected, and trees from the same population often clustered together. Androdioecy is an important factor that determines the genetic structure of O. fragrans and there is an urgent need to conserve ancient O. fragrans germplasms especially the hermaphrodites.     

Ovule discounting in an outcrossing, cryptically dioecious tree

Ovule discounting denotes the reduction in the number of ovules available for cross-fertilization due to the interference of inferior pollen. Traditionally, ovule discounting has been discussed solely from the perspective of compromised outcrossing opportunities as a result of selfing, but the principle is more general. Here, we extend its applicability beyond the simple contrast between selfing and outcrossing by showing that, in the cryptically dioecious tree species Fraxinus ornus, ovule discounting through frequent outcrossing with inferior fathers also constitutes a substantial cost of mating. In F. ornus, hermaphrodites produce pollen capable of siring offspring, but these offspring are less viable than those sired by males and are inferred to produce few, if any, surviving progeny. In this paper, we used microsatellite markers to analyze the mating system and paternity in a wild population of F. ornus. We found that the effective number of sires per mother was low (N(ep) = 2.93 to 4.95), and that paternity was correlated among progeny sampled from the same mother, but not among progeny sampled from neighboring mothers. Despite the existence of a local spatial genetic structure (up to 30 m), we found no evidence of biparental inbreeding. There was negligible selfing by hermaphrodites, but they sired approximately one fourth of the seeds produced by other hermaphrodites. Given that these progeny are not inferred to reach reproductive maturity, this constitutes a substantial cost of ovule discounting in the broad sense. We discuss the possible reasons for why hermaphrodites invest resources into inferior pollen.     

Patterns of flowering and sex-ratio variation in the Mediterranean shrub Phillyrea angustifolia (Oleaceae): implications for the maintenance of males with hermaphrodites

The Mediterranean shrub Phillyrea angustifolia is one of the few plants that display androdioecy, a rare breeding system in which males co-occur with hermaphrodites. However, it has been difficult to account for male frequencies previously documented for this species, which have frequently been higher than 0.5. Here we present sex-ratio data from 13 sites in Spain and Portugal that throw further light on the maintenance of androdioecy in P. angustifolia . The inferred proportion of males in these populations was around 0.3, substantially lower that 0.5 and concurring with theoretical predictions for androdioecy. Differences in the proportion of hermaphrodites in flower between "stressed" and "nonstressed" sites suggest the existence of an important life-history trade-off between fruit production and the rate at which plants recover from recurrent disturbances such as fire. The reduced frequency of flowering by hermaphrodites relative to males may help to explain the maintenance of androdioecy in this long-lived, woody species.     

Androdioecy and the evolution of dioecy

The likelihood that dioecy could evolve via androdioecy is examined. It is concluded that female-sterility mutations are unlikely to be able to invade populations of self-compatible hermaphrodite species, even if the resources that an hermaphrodite devotes to seed production can be diverted to yield increased survival and also to increase male fertility. These findings are in agreement with the great rarity of androdioecy. Claimed cases of androdioecy are reviewed. All of the species in question appear to be functionally dioecious, with females retaining substantial anther vestiges. It is argued that this morphological androdioecy is in no way indicative of a previous functionally androdioecious state. The details of the reproductive biology of many of these species seem rather to be consistent with their having evolved dioecy via gynodioecy.
The rarity of androdioecy, as a route to the evolution of dioecy, suggests that re-allocation of reproductive resources is unlikely to be the sole factor of importance, and supports an important role for inbreeding avoidance. The fact that females in some dioecious species retain anthers of substantial size, containing considerable quantities of pollen, gives further support to the view that male-sterility mutations can sometimes be favoured even when little or no resources are re-allocated to male functions. This is impossible without substantial selfing and inbreeding. It is therefore concluded that inbreeding avoidance is generally important in the evolution of dioecy, though reallocation of reproductive resources is also necessary.     

OUTBREEDING DEPRESSION WITH LOW GENETIC VARIATION IN SELFING CAENORHABDITIS NEMATODES

Theory and empirical study produce clear links between mating system evolution and inbreeding depression. The connections between mating systems and outbreeding depression, whereby fitness is reduced in crosses of less related individuals, however, are less well defined. Here we investigate inbreeding and outbreeding depression in self‐fertile androdioecious nematodes, focusing on Caenorhabditis sp. 11. We quantify nucleotide polymorphism for nine nuclear loci for strains throughout its tropical range, and find some evidence of genetic differentiation despite the lowest sequence diversity observed in this genus. Controlled crosses between strains from geographically separated regions show strong outbreeding depression, with reproductive output of F1s reduced by 36% on average. Outbreeding depression is therefore common in self‐fertilizing Caenorhabditis species, each of which evolved androdioecious selfing hermaphroditism independently, but appears strongest in C. sp. 11. Moreover, the poor mating efficiency of androdioecious males extends to C. sp. 11. We propose that self‐fertilization is a key driver of outbreeding depression, but that it need not evolve as a direct result of local adaptation per se. Our verbal model of this process highlights the need for formal theory, and C. sp. 11 provides a convenient system for testing the genetic mechanisms that cause outbreeding depression, negative epistasis, and incipient speciation.     

NUCLEO-CYTOPLASMIC MALE STERILITY AND ALTERNATIVE ROUTES TO DIOECY

Population-genetic models of nucleo-cytoplasmic gynodioecy are shown to allow invasion of males and conversion to dioecy in a single cytotype. Pleiotropic effects of restorer alleles on fertility through male or female function can maintain a cytoplasmic polymorphism in a population that prevents evolution to dioecy regardless of the pollen fertility of males. However, a cytoplasmic polymorphism has little effect on, and may even reduce, the minimum pollen fertility required for the spread of males into an equilibrium gynodioecious population. Where the thresholds for dioecy are similar, the presence of males during a transient preequilibrium high frequency of females can accelerate evolution to dioecy by more than 50 times relative to nuclear male sterility. However, the appearance of a nonrestorable male-sterile cytotype generally eliminates males from both subdioecious and dioecious populations, converting them to purely cytoplasmic gynodioecy. These models contradict the previously suggested notion that nucleo-cytoplasmic gynodioecy represents a “stable” intermediate breeding system and instead show that such gynodioecy can generally evolve to subdioecy, and often to dioecy, as easily as nuclear gynodioecy.     

Phylogenetics of Quiinaceae (Malpighiales): evidence from trnL-trnF sequence data and morphology

We present the first parsimony analyses of the Neotropical family Quiinaceae using nucleotide sequence data from the non-coding trnL intron and trnL-trnF intergenic spacer of the plastid genome, analysed separately as well as in combination with morphology. Both molecules and combined data recover Quiinaceae as a well-supported monophyletic group. Quiinaceae form a polytomy together with their potential sister groups, the monophyletic Ochnaceae s.str. and the monotypic Medusagynaceae from the Seychelles in the Indian Ocean. Froesia is resolved as sister to the rest of the family. Other members of the family, Lacunaria, Quiina, and Touroulia, are all recovered as monophyletic despite the inclusion of strikingly distinctive representatives (L. oppositifolia and Q. pteridophylla). Relationships among the last three genera, however, are yet uncertain. Optimising characters of breeding system onto the molecular phylogeny reveals that bisexual flowers (Froesia) are the ancestral state in Quiinaceae, whereas androdioecy (Quiina, Touroulia) and dioecy (Lacunaria) are derived breeding systems.     

Reproductive biology of Phillyrea angustifolia L.(Oleaceae) and effect of galling-insects on its reproductive output

The breeding system of Phillyrea angustifolia is examined in several Spanish populations, both in the southeastern Iberian Peninsula and in the Balearic IslandS. Hand-pollination experiments performed on one of the mainland and on one of the island populations demonstrated that the plant is functionally androdioeciouS. Pollen from males was several times more fertile than pollen from hermaphrodite flowers or self-pollen in the island population, but not so in the Iberian Peninsula. The interpretation of such a result is that androdioecy must have an adaptive advantage in an island system, where inbreeding depression is expected to be greater. Male individuals are much less common than hermaphrodites in all populations studied, thus supporting the prediction made by the models for the maintenance of androdioecy. Sex expression in an individual plant differs between populations. The frequency of sexes was purely bimodal in one population, whereas it was not so in another. Pollen from both male and hermaphrodite flowers appears to be morphologically different, although it remains unknown at what stage of the fertilization process the difference becomes functional. Fruitset in the hermaphrodite individuals was always less than 10%.Most fruits abort at an early stage and there is also a great flower abscission. Fruitset does not appear to be influenced by any of the plant traits describing size or fecundity. A high unpredictability of flowering in an individual was also observed in all populations.P.angustifolia is attacked by a cecidomyiid fly that induces the formation of galls in the ovaries (producing ‘deforme’ fruits which have been confused until recently with parthenocarpic fruits), thus reducing the plant reproductive output. The production of such galls (most of them in the hermaphrodite individuals but a small proportion also in males) is highly variable among plants and among populations, representing from 0 to 97% of the initiated fruitS. Such variability in gall incidence does not respond to variability in plant size, fecundity, distance to flowering conspecifics or time that flowers are available for fly oviposition. A high consistency in gall production was found in both the mainland and the island populations. The greater abundance of galls in the islands compared with the mainland populations is interpreted as a result of the higher temperatures in the former which might influence the activity period of the flies.