Evolutionary dynamics of biological auctions

Many scenarios in the living world, where individual organisms compete for winning positions (or resources), have properties of auctions. Here we study the evolution of bids in biological auctions. For each auction, n individuals are drawn at random from a population of size N. Each individual makes a bid which entails a cost. The winner obtains a benefit of a certain value. Costs and benefits are translated into reproductive success (fitness). Therefore, successful bidding strategies spread in the population. We compare two types of auctions. In “biological all-pay auctions”, the costs are the bid for every participating individual. In “biological second price all-pay auctions”, the cost for everyone other than the winner is the bid, but the cost for the winner is the second highest bid. Second price all-pay auctions are generalizations of the “war of attrition” introduced by Maynard Smith. We study evolutionary dynamics in both types of auctions. We calculate pairwise invasion plots and evolutionarily stable distributions over the continuous strategy space. We find that the average bid in second price all-pay auctions is higher than in all-pay auctions, but the average cost for the winner is similar in both auctions. In both cases, the average bid is a declining function of the number of participants, n. The more individuals participate in an auction the smaller is the chance of winning, and thus expensive bids must be avoided.     

Reproductive skew can provide a net advantage in both conditional and unconditional social interactions

We revisit a model for the evolution of costly social behaviour in the presence of reproductive skew. The model population is structured into groups, and reproductive skew is captured by assuming individuals adopt one of two social roles (dominant/subordinate). Unlike previous work, we adopt an ultimate perspective by tracking a mutant allele over the entire course of an invasion. Our main analysis applies the theory of branching processes, but a parallel analysis using the inclusive-fitness approach is also provided. Our first two results are modifications of known inequalities describing selective advantages for behaviours expressed conditional upon social status. We find that altruistic subordinate individuals are favoured more readily than previously thought; spiteful dominant individuals, however, are favoured less readily. Secondly, we identify the condition under which unconditional altruism (performed by both dominant and subordinate) will be adaptive. Our third main result shows that increasing the strength of selection can also change the range of parameters over which costly social behaviours are favoured. We find that stronger selection makes it relatively easier for subordinate altruism to emerge, but more difficult for dominant spite and unconditional altruism to occur. We discuss the possible implications of our results for human social evolution.     

Single nucleotide polymorphisms in genes that are common targets of luteotropin and luteolysin in primate corpus luteum: Computational exploration

Luteal insufficiency affects fertility and hence study of mechanisms that regulate corpus luteum (CL) function is of prime importance to overcome infertility problems. Exploration of human genome sequence has helped to study the frequency of single nucleotide polymorphisms (SNPs). Clinical benefits of screening SNPs in infertility are being recognized well in recent times. Examining SNPs in genes associated with maintenance and regression of CL may help to understand unexplained luteal insufficiency and related infertility. Publicly available microarray gene expression databases reveal the global gene expression patterns in primate CL during the different functional state. We intend to explore computationally the deleterious SNPs of human genes reported to be common targets of luteolysin and luteotropin in primate CL. Different computational algorithms were used to dissect out the functional significance of SNPs in the luteinizing hormone sensitive genes. The results raise the possibility that screening for SNPs might be integrated to evaluate luteal insufficiency associated with human female infertility for future studies.     

Pepsin-like aspartic protease (Sc-ASP155) cloning,molecular characterization and gene expression analysis in developmental stages of nematode Steinernema carpocapsae

Steinernema carpocapsae is an insect parasitic nematode associated with the bacterium Xenorhabdus nematophila. These symbiotic complexes are virulent against the insect host. Many protease genes were shown previously to be induced during parasitism, including one predicted to encode an aspartic protease, which was cloned and analyzed in this study. A cDNA encoding Sc-ASP155 was cloned based on the EST fragment. The full-length cDNA of Sc-ASP155 consists of 955 nucleotides with multiple domains, including a signal peptide (aa1–15), a pro-peptide region (aa16–45), and a typical catalytic aspartic domain (aa71–230). The putative 230 amino acid residues have a calculated molecular mass of 23,812 Da and a theoretical pI of 5.01. Sc-ASP155 blastp analysis showed 40–62% amino acid sequence identity to aspartic proteases from parasitic and free-living nematodes. Expression analysis showed that the sc-asp155 gene was up-regulated during the initial parasitic stage, especially in L3 gut and 6 h induced nematodes. Sequence comparison revealed that Sc-ASP155 was a member of an aspartic protease family and phylogenetic analysis indicated that Sc-ASP155 was clustered with Sc-ASP113. In situ hybridization showed that sc-asp155 was expressed in subventral cells. Additionally, we determined that sc-asp155 is a single-copy gene in S. carpocapsae. Homology modeling showed that Sc-ASP155 adopts a typical aspartic protease structure. The up-regulated Sc-ASP155 expression revealed that this protease could play a role in the parasitic process. In this study, we have cloned the gene and determined the expression of the pepsin-like aspartic protease Sc-ASP155 in S. carpocapsae.     

Preliminary analysis of the mitochondrial genome evolutionary pattern in primates

Since the birth of molecular evolutionary analysis,primates have been a central focus of study and mitochondrial DNA is well suited to these endeavors because of its unique features.Surprisingly,to date no comprehensive evaluation of the nucleotide substitution patterns has been conducted on the mitochondrial genome of primates.Here,we analyzed the evolutionary patterns and evaluated selection and recombination in the mitochondrial genomes of 44 Primates species downloaded from GenBank.The results revealed that a strong rate heterogeneity occurred among sites and genes in all comparisons.Likewise,an obvious decline in primate nucleotide diversity was noted in the subunit rRNAs and tRNAs as compared to the protein-coding genes.Within 13 protein-coding genes,the pattern of nonsynonymous divergence was similar to that of overall nucleotide divergence,while synonymous changes differed only for individual genes,indicating that the rate heterogeneity may result from the rate of change at nonsynonymous sites.Codon usage analysis revealed that there was intermediate codon usage bias in primate protein-coding genes,and supported the idea that GC mutation pressure might determine codon usage and that positive selection is not the driving force for the codon usage bias.Neutrality tests using site-specific positive selection from a Bayesian framework indicated no sites were under positive selection for any gene,consistent with near neutrality.Recombination tests based on the pairwise homoplasy test statistic supported complete linkage even for much older divergent primate species.Thus,with the exception of rate heterogeneity among mitochondrial genes,evaluating the validity assumed complete linkage and selective neutrality in primates prior to phylogenetic or phylogeographic analysis seems unnecessary.     

Equilibrium Distributions of Populations of Biological Species on Networks of Social Sites

ABSTRACT

We investigate the problem of how a population of biological species would distribute over a given network of social sites so that their social contacts through the connected sites can be maximized (or minimized). This problem has applications in modelling the behaviours of social (or solitary) species such as the development of social groups in human society and the spread of solitary animals in distant habitats. We show that this problem can be formulated as an evolutionary game, with the equilibrium state of the game corresponding to a strategy for choosing the residing sites, each with a certain probability, or equivalently, to a distribution of the population on these sites. The game has a symmetric payoff matrix, and can therefore be analyzed via the solution of a corresponding quadratic programme: An equilibrium strategy of the game is a KKT point of the quadratic programme, which may be a local maximizer, local minimizer, or saddle point, but it is evolutionarily stable if and only if it is a strict local maximizer. In general, with a goal to maximize the social contacts, the species tend to spread on network sites where there are dense connections such as a complete subnetwork or in other words, a network clique. We show that at equilibrium, the population may or may not distribute on a network clique, but the stability of the equilibrium state does depend on the structure of the selected subnetwork. In particular, we show that the distribution of the population on a maximal network clique is evolutionarily stable unless the clique is ‘attached’ to another clique of the same or larger size, when the population may be able to switch or expand to the neighbouring clique to increase or at least maintain its total amount of contacts. However, the distribution of the population on a non-clique subnetwork is always evolutionarily unstable or weakly evolutionarily stable at the very best, for the population can always move away from its current distribution without decreasing its total amount of contacts. We conclude that the strategies to spread on maximal network cliques are not only equilibrium strategies but also evolutionarily more stable than those on non-clique subnetworks, thus theoretically reaffirming the evolutionary advantages of joining social cliques in social networks for social species.     

Phylogenetic profiles for the prediction of protein-protein interactions: how to select reference organisms?

The phylogenetic profile method has been widely applied in the prediction of protein-protein interactions (PPIs). Studies often use all of the available complete genomes for this method. With more than 400 genomes complete and new ones on the horizon, it remains unclear how to select reference organisms for profile construction and then influence the PPI prediction. Here, we performed a systematic assessment of reference organism selection from 225 complete genomes with their evolutionary tree. Our results suggest that reference organisms should be selected from moderately and highly genetically distant organisms, from all three domains (Bacteria, Archaea, and Eukarya), and by their even distribution at the fifth hierarchical level in the evolutionary tree. Our study provides important guidance on the construction of phylogenetic profiles for PPI prediction and functional genomics, which has become challenging due to the large and increasing number of available candidate organisms.     

Sources for Imanishi Kinji’s views of sociality and evolutionary outcomes

Prior to the contribution of genetics or the modern evolutionary synthesis (MES) to natural selection theory, social ecologists searched for factors in addition to natural selection that could influence species change. The idea that sociality, not just biology, was important in determining evolutionary outcomes was prevalent in research in social ecology in the 1920s and 1930s. The influence of ‘tradition’ (or the transmission of learned behaviours between generations) and the view that animals are active in selecting their own environments, rather than passive organisms acted upon by chance, were given as much attention as natural selection theory in European ecology, while animal aggregation and cooperation studies were pursued in America. Imanishi Kinji’s personal library and his scientific notes and papers reveal that he was well aware of this literature and had been profoundly influenced by these earlier viewpoints prior to writing his view of nature in his first book, Seibutsu no Sekai (The World of Living Things, 1941). Evidence is presented to show that he developed his theories based partly on early western debates in social ecology while finding inspiration and a way to express his views in the writings of philosopher Nishida Kitarō and, perhaps, General J C Smuts. One of Imanishi’s lasting contributions is in the demonstrated results of over 40 years of subsequent ecological and ethological research by Imanishi and those trained by him that maintained the broader viewpoints on evolution that had been dropped from the western corpus of research by the 1950s. The current attempt to again get beyond natural selection theory is reflected in debates surrounding genetic and cultural evolution of cooperation, the biology of ‘traditions’ and the idea of ‘culture’ in animal societies. Imanishi Kinji is the Japanese name order, with family name first. Other Japanese names in the text are also written with family name first. A modified version of this paper appeared in Japanese in Seibutsu Kagaku, Vol. 57 No. 3, April 2006, pp 142–149.     

The probability of fixation of a single mutant in an exchangeable selection model

The Cannings exchangeable model for a finite population in discrete time is extended to incorporate selection. The probability of fixation of a mutant type is studied under the assumption of weak selection. An exact formula for the derivative of this probability with respect to the intensity of selection is deduced, and developed in the case of a single mutant. This formula is expressed in terms of mean coalescence times under neutrality assuming that the coefficient of selection for the mutant type has a derivative with respect to the intensity of selection that takes a polynomial form with respect to the frequency of the mutant type. An approximation is obtained in the case where this derivative is a continuous function of the mutant frequency and the population size is large. This approximation is consistent with a diffusion approximation under moment conditions on the number of descendants of a single individual in one time step. Applications to evolutionary game theory in finite populations are presented.      

Sequence and structural aspects of the functional diversification of plant alcohol dehydrogenases

The glycolytic proteins in plants are coded by small multigene families, which provide an interesting contrast to the high copy number of gene families studied to date. The alcohol dehydrogenase (Adh) genes encode glycolytic enzymes that have been characterized in some plant families. Although the amino acid sequences of zinc-containing long-chain ADHs are highly conserved, the metabolic function of this enzyme is variable. They also have different patterns of expression and are submitted to differences in nonsynonymous substitution rates between gene copies. It is possible that the Adh copies have been retained as a consequence of adaptative amino acid replacements which have conferred subtle changes in function. Phylogenetic analysis indicates that there have been a number of separate duplication events within angiosperms, and that genes labeled Adh1, Adh2 and Adh3 in different groups may not be homologous. Nonsynonymous/synonymous ratios yielded no signs of positive selection. However, the coefficients of functional divergence (theta) estimated between the Adh1 and Adh2 gene groups indicate statistically significant site-specific shift of evolutionary rates between them, as well as between those of different botanical families, suggesting that altered functional constraints may have taken place at some amino acid residues after their diversification. The theoretical three-dimensional structure of the alcohol dehydrogenase from Arabis blepharophylla was constructed and verified to be stereochemically valid.