Mathematical model for the study of fertility and viability in inbreeding populations

Granted that a single or complex gene is responsible for inbreeding depression, theoretical expressions for fertility and viability are obtained in different diploid populations: brother-sister, half-brother-sister, cousins and double-cousins. The conclusions of the study of viability variations according to the coefficient of parentage are proved by the results of experiments and lead to a new view of genetic load.     

The importance of inoculum size for the competitive ability of wood decomposing fungi

Abstract Competition among wood decay fungi was studied with a technique using sectors of various sizes of 8 cm diameter wood discs. The sectors representing 8–92% of the discs were precolonized by Heterobasidion annosum (Fr.) Bref., Resinicium bicolor (Alb. & Schw. ex Fr.) Parm, Phanerochaete sanguinea (Fr.) Hjortstam and Coniophora sp. DC. ex Me'rat before they were combined pairwise in close contact on top of water agar in 9 cm Petri dishes. Discs were regularly inspected for mycelial overgrowth and after 10 weeks mycelia were reisolated. Competitive success, measured as the replacement of the opposing fungus, was generally greatest for mycelia with sectors representing 92% of a disc and smallest for 8% sectors. R bicolor was the most, and H. annosum the least, competitive of the species investigated. The results indicate that mycelial size could be one major factor influencing the competitive success in nature. However, when paired on nutrient agar, the results of the interactions between the four species did not correspond to those in wood discs     

Pollen viability,vigor, and competitive ability in Erythronium grandiflorum (Liliaceae)

To determine how the capability of pollen is affected by lengthy exposure to field conditions, we obtained pollen samples (from Erythronium grandiflorum) that were fresh (from newly dehisced anthers) or aged, from 6 to 24 hr. Without pretreating the collected grains, we compared their abilities 1) to retain viability, as indicated by the Heslop-Harrison fluorochromatic reaction (FCR) test; 2) to retain germinability, as indicated by pollen-tube growth in vitro on Brewbaker-Kwack medium; 3) to sire seeds when used as a pollen donor on recipient flowers in the field; and 4) to sire seeds competitively when mixed with another donor pollen in competitive pollinations. FCR scores declined drastically with pollen age. Germinability typically declined with age, but less drastically; the correlation between FCR and germinability ranged from strong to nil in different trials. The sharp decline in FCR was probably due to nonlethal, reversible desiccation. Seed-siring success, both in competitive and noncompetitive trials, bore no relation to pollen age or to germinability. Any loss in seed-siring ability in E. grandiflorum pollen over 24 hr is apparently overwhelmed by other sources of variation. The lack of correlation between seed-siring ability and FCR or germinability scores means that those tests should not be used to estimate overall pollen competence in this species. They should be so used in other species only if experiments have demonstrated their greater reliability.     

Predicting the time to quasi-extinction for populations far below their carrying capacity

Populations threatened by extinction are often far below their carrying capacity. A population collapse or quasi-extinction is defined to occur when the population size reaches some given lower density. If this density is chosen to be large enough for the demographic stochasticity to be ignored compared to environmental stochasticity, then the logarithm of the population size may be modelled by a Brownian motion until quasi-extinction occurs. The normal-gamma mixture of inverse Gaussian distributions can then be applied to define prediction intervals for the time to quasi-extinction in such processes. A similar mixture is used to predict the population size at a finite time for the same process provided that quasi-extinction has not occurred before that time. Stochastic simulations indicate that the coverage of the prediction interval is very close to the probability calculated theoretically. As an illustration, the method is applied to predict the time to extinction of a declining population of white stork in southwestern Germany.     

The measurement and analysis of competitive ability among populations of white clover and perennial ryegrass

Summary Analysis of the competitive interactions among a set of white clover and perennial ryegrass populations indicated that the intra-specific pressures exerted by the white clover plants upon themselves were significantly greater than the inter-specific pressures they exerted upon the perennial ryegrass. This partitioning of competitive effects could not be carried out on the ryegrass populations, however, because the data required the fitting of separate models to monocultures and duocultures. Although not significant at this stage of the experiment, trends were detected among some of the clover-ryegrass duocultures that could be related to their previous coexistence. The results are briefly discussed in relation to the problems surrounding the measurement of competitive effects among species that ideally require very different managements.     

Spermine synthesis is required for normal viability, growth, and fertility in the mouse

Spermidine is essential for viability in eukaryotes but the importance of the longer polyamine spermine has not been established. Spermine is formed from spermidine by the action of spermine synthase, an aminopropyltransferase, whose gene (SpmS) is located on the X chromosome. Deletion of part of the X chromosome that include SpmS in Gy mice leads to a striking phenotype in affected males that includes altered phosphate metabolism and symptoms of hypophosphatemic rickets, circling behavior, hyperactivity, head shaking, inner ear abnormalities, deafness, sterility, a profound postnatal growth retardation, and a propensity to sudden death. It was not clear to what extent these alterations were due to the loss of spermine synthase activity, since this chromosomal deletion extends well beyond the SpmS gene and includes at least one other gene termed Phex. We have bred the Gy carrier female mice with transgenic mice (CAG/SpmS mice) that express spermine synthase from the ubiquitous CAG promoter. The resulting Gy-CAG/SpmS mice had extremely high levels of spermine synthase and contained spermine in all tissues examined. These mice had a normal life span and fertility and a normal growth rate except for a reduction in body weight due to a loss of bone mass that was consistent with the observation that the derangement in phosphate metabolism is due to the loss of the Phex gene and was not restored. These results show that spermine synthesis is needed for normal growth, viability, and fertility in male mice and that regulation of spermine synthase content is not required.     

The genotype specific competitive ability does not correlate with infection in natural Daphnia magna populations

Background

Different evolutionary hypotheses predict a correlation between the fitness of a genotype in the absence of infection and the likelihood to become infected. The cost of resistance hypothesis predicts that resistant genotypes pay a cost of being resistant and are less fit in the absence of parasites. The inbreeding-infection hypothesis predicts that the susceptible individuals are less fit due to inbreeding depression.

Methods and Results

Here we tested if a host''s natural infection status was associated with its fitness. First, we experimentally confirmed that cured but formerly infected Daphnia magna are genetically more susceptible to reinfections with Octosporea bayeri than naturally uninfected D. magna. We then collected from each of 22 populations both uninfected and infected D. magna genotypes. All were treated against parasites and kept in their asexual phase. We estimated their relative fitness in an experiment against a tester genotype and in another experiment in direct competition. Consistently, we found no difference in competitive abilities between uninfected and cured but formerly infected genotypes. This was the case both in the presence as well as in the absence of sympatric parasites during the competition trials.

Conclusions

Our data do not support the inbreeding-infection hypothesis. They also do not support a cost of resistance, however ignoring other parasite strains or parasite species. We suggest as a possible explanation for our results that resistance genes might segregate largely independently of other fitness associated genes in this system.     

On existence and uniqueness of the carrying simplex for competitive dynamical systems

Certain dynamical models of competition are shown to have a unique invariant hypersurface Σ, having simple geometry and topology, such that every non-zero tractory is asymptotic to a trajectory in Σ.     

On evolutionary stability of carrying capacity driven dispersal in competition with regularly diffusing populations

Two competing populations in spatially heterogeneous but temporarily constant environment are investigated: one is subject to regular movements to lower density areas (random diffusion) while the dispersal of the other is in the direction of the highest per capita available resources (carrying capacity driven diffusion). The growth of both species is subject to the same general growth law which involves Gilpin–Ayala, Gompertz and some other equations as particular cases. The growth rate, carrying capacity and dispersal rate are the same for both population types, the only difference is the dispersal strategy. The main result of the paper is that the two species cannot coexist (unless the environment is spatially homogeneous), and the carrying capacity driven diffusion strategy is evolutionarily stable in the sense that the species adopting this strategy cannot be invaded by randomly diffusing population. Moreover, once the invasive species inhabits some open nonempty domain, it would spread over any available area bringing the native species diffusing randomly to extinction. One of the important technical results used in the proofs can be interpreted in the form that the limit solution of the equation with a regular diffusion leads to lower total population fitness than the ideal free distribution.     

Simulated warming differentially affects the growth and competitive ability of Centaurea maculosa populations from home and introduced ranges

Climate warming may drive invasions by exotic plants, thereby raising concerns over the risks of invasive plants. However, little is known about how climate warming influences the growth and competitive ability of exotic plants from their home and introduced ranges. We conducted a common garden experiment with an invasive plant Centaurea maculosa and a native plant Poa pratensis, in which a mixture of sand and vermiculite was used as a neutral medium, and contrasted the total biomass, competitive effects, and competitive responses of C. maculosa populations from Europe (home range) and North America (introduced range) under two different temperatures. The warming-induced inhibitory effects on the growth of C. maculosa alone were stronger in Europe than in North America. The competitive ability of C. maculosa plants from North America was greater than that of plants from Europe under the ambient condition whereas this competitive ability followed the opposite direction under the warming condition, suggesting that warming may enable European C. maculosa to be more invasive. Across two continents, warming treatment increased the competitive advantage instead of the growth advantage of C. maculosa, suggesting that climate warming may facilitate C. maculosa invasions through altering competitive outcomes between C. maculosa and its neighbors. Additionally, the growth response of C. maculosa to warming could predict its ability to avoid being suppressed by its neighbors.     

The importance of control populations for the identification and management of genetic diversity

A fundamental criterion for recognizing species or populations as potentially endangered is the presence/absence of genetic diversity. However, the lack of control populations in many studies of natural systems deprives one from unambiguous criteria for evaluating the genetic effects of small population size and its potential effects on fitness. In this study, I present an example of how the lack of adequate controls may lead to erroneous conclusions for understanding the role that population size may play in the preservation of genetic diversity and fitness of natural populations. The genetic analysis of a population of greater prairie chickens from Illinois, USA, between two time periods (1974–1987 and 1988–1993) in which the studied population experienced a substantial reduction in size and fitness showed no apparent associations between population size and genetic diversity. However, genetic analysis of museum specimens from early this century indicated that Illinois prairie chickens had originally higher levels of genetic diversity, which suggest the Illinois population was already bottlenecked by the 1970s. This study emphasizes the importance of using historical controls to evaluate the temporal dynamics of genetic variability in natural populations. The large number of museum collections worldwide may provide a valuable source of genetic information from past populations, particularly in species currently endangered as a result of human activities. This revised version was published online in July 2006 with corrections to the Cover Date.     

Wealth,fertility and adaptive behaviour in industrial populations

The lack of association between wealth and fertility in contemporary industrialized populations has often been used to question the value of an evolutionary perspective on human behaviour. Here, we first present the history of this debate, and the evolutionary explanations for why wealth and fertility (the number of children) are decoupled in modern industrial settings. We suggest that the nature of the relationship between wealth and fertility remains an open question because of the multi-faceted nature of wealth, and because existing cross-sectional studies are ambiguous with respect to how material wealth and fertility are linked. A literature review of longitudinal studies on wealth and fertility shows that the majority of these report positive effects of wealth, although levels of fertility seem to fall below those that would maximize fitness. We emphasize that reproductive decision-making reflects a complex interplay between individual and societal factors that resists simple evolutionary interpretation, and highlight the role of economic insecurity in fertility decisions. We conclude by discussing whether the wealth–fertility relationship can inform us about the adaptiveness of modern fertility behaviour, and argue against simplistic claims regarding maladaptive behaviour in humans.     

Plant competitive ability and the transitivity of competitive hierarchies change with plant age

Plant competitive effect and response ability are known to change with plant age, however it remains unclear how competitive hierarchies among plant species change as plants age and transition between life stages. We examined the competitive interactions among seven species in all pairwise combinations in a greenhouse experiment. Competitive effect and response were measured as the relative yield (RY) for each target-neighbor species combination for both seedling and adult plants. Competitive hierarchies were constructed based on competitive effect and response scores, and we examined the degree of transitivity in the seedling and adult competitive hierarchies. The competitive effect hierarchy did not vary substantially with plant age, while the competitive response hierarchy was highly variable between juvenile and adult plants. Competitive effect and response ability were positively correlated at both plant stages. The seedling relative yield matrix was predominantly transitive, while there were far fewer transitive competitive relationships among the adult plants. The breakdown of the clear competitive hierarchy among seedlings as plants aged may explain why competition does not appear to be an active mechanism structuring some late-successional plant communities. In early-successional communities, interactions among seedlings with a clear competitive hierarchy may establish competitive ability—abundance relationships that persist as a legacy effect even though the breakdown of the competitive hierarchy among adult plants removes competition as an active mechanism structuring some late-successional plant communities.     

Female ornamentation, parental quality, and competitive ability in the rock sparrow

The evolution of female ornaments is poorly understood. Recent evidence suggests not only that female ornaments may be genetic correlates of selection on males but may also have evolved through male mate choice and/or through female–female aggressive interactions. In the rock sparrow, Petronia petronia, both sexes have a carotenoid-based yellow patch that is sexually selected by both sexes. The benefits that male may gain from choosing an attractive female remain unidentified. Both parents participate in caring for the young, so there should be mutual mate choice because males and females should both benefit from choosing a good parent (good parent hypothesis; GPH). Moreover, it has already been demonstrated that the yellow patch in males is also a badge of status (armament). Therefore, the yellow patch could also serve as both ornament and armament in females (dual utility hypothesis; DUH). We investigated the hypothesis that male and female yellow patch size signals parental quality in the field. We tested by an experiment in captivity the signal function of the yellow patch in female–female aggressive interactions for access to food. Yellow patch size correlated with paternal, but not maternal, feeding rates. Thus, this study supports the hypothesis that yellow patch dimension signals male parental quality, but there is no evidence for the GPH to explain female ornamentation. In the experiment females with relatively large yellow patches had earlier access to food than those with small patches. These results seem to suggest that a sexually selected carotenoid-feather signal may be used in female–female competition, in agreement with the DUH. Males may benefit from choosing well ornamented females because these may be superior competitors.     

The relationship between ram breeding capacity and flock fertility

The effect of breeding capacity of rams on flock fertility was studied by exposing each of 15 rams to 1 of 15 flocks of 200 naturally-cycling ewes for 17 days. Five of the rams were arbitrarily designated as being of high breeding capacity (mean+/-SEM = 14.7+/-0.5 services in 2 3-hour pen breeding tests); five rams were designated as being of medium capacity (7.3 +/- 0.2); and the remaining five were designated as being of low breeding capacity (1.7 +/- 0.5). Breeding capacity was shown to be positively correlated with the number of services during flock mating, to the number of ewes mated and to insemination success. Breeding capacity as measured in a pen test of shorter duration (1 hour) was shown to be similarly related to flock fertility. Further, the number of services during flock mating was also positively correlated with the number of ewes mated and impregnated, as well as to the number of fetuses conceived and to insemination success. Breeding frequency of the ram is, therefore, closely related to flock fertility, but breeding capacity, as measured in the present study, is only a moderately accurate indicator of breeding frequency.     

Marsh management, reserve creation, hunting periods and carrying capacity for wintering ducks and coots

Many wild species, like waterbirds, are exploited for their economic interests. At present, the annual western Palearctic duck bag is at least 17 million birds. From a sustainable management perspective, wetland users and managers request predictions of spatial distribution and abundance variations of these bird populations. The objective of this study was to analyze local factors potentially influencing the diurnal distribution and population size of wintering ducks and coots, the main game species, in Camargue (southern France). First, we showed that marshland surface area, salinity and hunting disturbance were the principal variables explaining the duck and coot distribution. Secondly, we tested the hypothesis that hunting disturbance would reduce the carrying capacity of the Camargue with two analyses: the effect of creating a protected area and the change of the hunting closing date. This hypothesis was not validated. Our study therefore led us to reconsider the research orientations on the carrying capacity in this wetland. The surface of protected day roosts seems presently sufficient in the Rhone delta. Consequently, to increase the population size with the same level of hunting disturbance at the scale of the Camargue, alternative strategies should be envisaged, such as the creation of nature reserves on nocturnal feeding ground or the creation of large management units with limited disturbance.