Sperm storage and use in polyandrous females of the globally invasive fruitfly, Ceratitis capitata

The medfly, Ceratitis capitata, is an invasive species in which polyandry, associated with sperm precedence, is a common behaviour in the wild. In this species, characterized by internal fertilization, we disclose how the sperm from two males are stored in the female storage organs and how they are used in terms of paternity outcome. The experiments were designed to furnish comparable and unbiased estimates of sperm numbers and progeny in twice-mated females. Results are incorporated in a model through which it is possible to relate the amount of stored sperm with the progeny of twice-mated females. The results show that polyandrous medfly females conserve equal amounts of sperm from the two males to fertilize their eggs. However, we observed a clear advantage of the second male's sperm in siring progeny, which interestingly decreases in favor of the first male as ovipositions progress. The results enable us to exclude differential sperm mortality and suggest that it is the mechanics governing the storage organs which causes the initial, but decreasing second male sperm precedence during the female reproductive life. These outcomes allow us to correlate sperm use in polyandrous females with the mating strategies and invasiveness of this fly.

On the evolution of altruism by kin selection

A general model for the evolution of altruism is formulated. Central to the model is a pair of local fitness functions, which prescribe the fitness of the altruist and selfish phenotypes as functions of the composition of local groups into which prereproductives are subdivided. When the local groups are sibships or other kin groups, the model is one for kin selection. Functions for cost and benefit of altruism are derived from the fitness functions. Conditions for evolution of altruism are then determined in terms of cost and benefit. It is shown that the Hamilton rule has quantitative validity only in the special case of linear fitness functions. Sufficient conditions are found for qualitative validity of the Hamilton rule. Qualitative violation of the rule is also possible.

Optimization under frequency-dependent selection

We consider a model of frequency-dependent selection, which we refer to as the Wildcard Model. A variety of more specific models, representing quite diverse biological situations, are covered by the Wildcard Model as particular cases. Two very different particular models that are subsumed by the Wildcard Model are the game theoretically motivated two-phenotype model of Lessard [Lessard, S.,1984. Evolutionary dynamics in frequency-dependent two-phenotype models, Theor. Popul. Biol. 25, 210-234], and the model of selection on a continuous trait due to intraspecific competition of Bürger [Bürger, R., 2005. A multilocus analysis of intraspecific competition and stabilizing selection on a quantitative trait. J. Math. Biol. 50 (4), 355-396] and Schneider [Schneider, K.A., 2006. A multilocus-multiallele analysis of frequency-dependent selection induced by intraspecific competition. J. Math. Biol. 52 (4), 483-523]. Both these models have been shown in the past to have a global Lyapunov function (LF) under appropriate genetic assumptions. We show that (i) the Wildcard Model in continuous time for a single multiallelic locus, or for multiple multiallelic loci in linkage equilibrium, has a global LF, of which the Lessard and Bürger-Scheneider LF are special cases in spite of their widely different biological interpretations; (ii) the LF of the Wildcard Model can be derived from an LF previously identified for a model of density- and frequency-dependent selection due to Lotka-Volterra competition, with one locus, multiple alleles, multiple species and continuous-time dynamics [Matessi, C., Jayakar, S.D., 1981. Coevolution of species in competition: A theoretical study. Proc. Natl. Acad. Sci. USA, 78 (2, part2), 1081-1084]. We extend the LF with density and frequency dependence to the multilocus case with linkage-equilibrium dynamics. As a possible application of our results, the optimization principle we established can be used as a tool in the study of long-term evolution of various models subsumed by the Wildcard Model based on explicit short-term dynamics.

Discrete polymorphisms due to disruptive selection on a continuous trait—I: The one-locus case

We have investigated, numerically and analytically, long-term evolution under frequency-dependent disruptive selection of a continuous trait varying in a finite range and controlled by one diploid mendelian locus. We found that evolution converges towards a unique long-term equilibrium where only two extreme phenotypes are present with frequencies identical to those of the mixed strategy that would be the unique ESS of the game defined by the basic fitness function of the model. As long as this precise phenotypic composition is preserved, any genetic configuration of the polymorphism is equally acceptable (selectively neutral) at the equilibrium. Thus the number of alleles and their dominance pattern may vary considerably among different equilibrium populations. If genetic expression of the trait is variable but the amount of variability is genetically modifiable, disruptive selection, acting on such modifiers, produces a steady increase of expression variability before the equilibrium is attained. In this case a population at the long-term equilibrium might even be genetically monomorphic, with the phenotypic dimorphism resulting from purely random individual variation.

Mother's mitochondria and optimal offspring sex ratio

In certain cases, predicted by evolutionary theory of sex-allocation and confirmed by empirical evidence, animals adaptively change their progeny sex-ratio according to individual circumstances. Here we argue that a similar response of offspring sex-ratio must exist in relation to genetic variation of mothers' mitochondria, as a consequence of maternal inheritance of these organelles and of their influence on fitness resulting from their crucial role in metabolism. In fact, a mathematical analysis of evolutionary dynamics of sex-allocation mutants demonstrates that natural selection promotes an evolutionarily stable allocation policy where mothers with defective mitochondria generate only sons, while those with optimal mitochondria have female biased progenies.

DNA fingerprinting data and the analysis of population genetic structure by comparing band-sharing patterns

Genetic isolation among populations can be effectively investigated by multilocus DNA fingerprinting. If populations have diverged, it is expected that the mean proportion of bands shared by individuals from the same population, Bw, exceeds the corresponding mean, Bb, calculated from pairs of individuals from distinct populations. A problem arises in deciding whether any difference between Bw and Bb is statistically significant. In fact, any two band-sharing data (bij), contributing to Bw or Bb, are not independent if they share a common individual (like bij and bjl). This prevents a correct application of parametric tests, such as the Student's t-test. Recently, a modification of this test has been proposed that should avoid the independence problem. Using a large number of samples of fingerprints, simulated from an appropriate 'genetic' model, under a wide range of conditions, we compared the performances of the Student's t-test, the modified t-test and five new permutation tests, where individuals, rather than bij values, are permuted. We found that: (i) the Student's t-test can be very permissive, rejecting too often the null hypothesis when true, but is correct or conservative in certain cases; (ii) the modified t-test is extremely conservative when the null hypothesis is true and very inefficient otherwise; (iii) all five permutation tests are strictly correct, provided that individuals are ordered randomly on gels; and (iv) in this case, the permutation tests are equally efficient, and are not inferior to the Student's t-test when the latter is approximately correct and provides a fair benchmark.

Canalization, genetic assimilation and preadaptation. A quantitative genetic model

We propose a mathematical model to analyze the evolution of canalization for a trait under stabilizing selection, where each individual in the population is randomly exposed to different environmental conditions, independently of its genotype. Without canalization, our trait (primary phenotype) is affected by both genetic variation and environmental perturbations (morphogenic environment). Selection of the trait depends on individually varying environmental conditions (selecting environment). Assuming no plasticity initially, morphogenic effects are not correlated with the direction of selection in individual environments. Under quite plausible assumptions we show that natural selection favors a system of canalization that tends to repress deviations from the phenotype that is optimal in the most common selecting environment. However, many experimental results, dating back to Waddington and others, indicate that natural canalization systems may fail under extreme environments. While this can be explained as an impossibility of the system to cope with extreme morphogenic pressure, we show that a canalization system that tends to be inactivated in extreme environments is even more advantageous than rigid canalization. Moreover, once this adaptive canalization is established, the resulting evolution of primary phenotype enables substantial preadaptation to permanent environmental changes resembling extreme niches of the previous environment.

Long-term evolution of multilocus traits

We analyze monomorphic equilibria of long-term evolution for one or two continuous traits, controlled by an arbitrary number of autosomal loci and subject to constant viability selection. It turns out that fitness maximization always obtains at long term equilibria, but in the case of two traits, linkage determines the precise nature of the fitness measure that is maximized. We then consider local convergence to long term equilibria, for two multilocus traits subject to either constant or frequency dependent selection. From a model of long-term dynamics near an equilibrium we derive a criterion of local long-term stability for 2-dimensional equilibria. It turns out that mutation can be a decisive factor for stability.

A family of rapidly evolving genes from the sex reversal critical region in Xp21

Patients with an intact SRY gene and duplications of portions of Xp21 develop as phenotypic females. We have recently mapped this sex reversal locus, DSS, to a 160-kb region of Xp21 that includes the adrenal hypoplasia congenita locus. To clone the gene(s) underlying DSS and AHC, we isolated expressed sequences from the region. Here we describe the characterization of two related genes. DAM10 and DAM6, expressed in adult testis and lung tumors. The predicted DAM10 and DAM6 proteins are 66% identical and are both highly similar to the MAGE family of tumor-associated antigens and to mouse necdin. Genes belonging to the MAGE superfamily, DAMs, MAGEs, and necdin, are likely to have originated from a common ancestor and to be subject to an unusually rapid evolution. The tumor-restricted expression of DAM proteins and their structural similarity to MAGE genes suggest that DAM peptides may be targets for active immunotherapy in lung cancer patients.

Inference of pair bonds from capture data based on low variation of the sex ratio among catches

Paired individuals of monogamous animal species often stay in close contact when moving in their home range and can be caught together if sampling is done by a method that does not disrupt their spatial association (e.g., capture of birds by mist nets). We propose a statistical procedure that uses the counts by sex of specimens in a number of samples to detect the presence of pairs and to roughly estimate the proportion of paired individuals in the population. This method appears to be efficient enough to be used with data sets of small to moderate size (10-40 samples of 2-10 specimens each). The use of the method is exemplified by an analysis of capture data from two European populations of bearded tit (Panurus biarmicus): a large set of 536 net samples (1,111 specimens) from Le Sambuc in Camargue, France, and a much smaller one of 46 samples (367 specimens) from Malcontenta, near Venice, Italy. A separate analysis of premolt juveniles in Malcontenta (15 samples, 53 individuals) detects a significant proportion of pairs among them. This finding confirms quantitatively the anecdotal observation of precocious pair formation in the bearded tit.

Coevolution of species in competition: a theoretical study

A model is presented for the coevolution of several species in competition, each species being genetically variable at one locus with respect to this competition. A function was fund that is maximized during coevolution. This maximization principle was used in order to study the result of competition for a single resource on the utilization functions of the species competing for that resource. In particular, the conditions under which ecological character displacement can evolve were examined.