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PubMed2002

Consequences of plant-herbivore coevolution on the dynamics and functioning of ecosystems.

The potential consequences of plant-herbivore coevolution for ecosystem functioning are investigated using a simple nutrient-limited ecosystem model in which plant and herbivore traits are subject to adaptive dynamics. Although the ecological model is very simple and always reaches a stable equilibrium in the absence of evolution, coevolution can generate a great diversity of dynamical behaviors. The evolutionary dynamics can lead to a stable equilibrium. If the evolution of plants is fast enough, certain values of the trade-off parameters lead to complex evolutionary cycles bounded by physiological constraints. The dynamical behavior of the model is very different when the dynamics of inorganic nutrient is ignored and plant competition is modeled by a logistic growth function. This emphasizes the importance of including explicit nutrient dynamics in studies of plant-herbivore coevolution.

Adaptation, Biological↗
PubMed1994

Dynamics and evolution: evolutionarily stable attractors, invasion exponents and phenotype dynamics.

We extend the ideas of evolutionary dynamics and stability to a very broad class of biological and other dynamical systems. We simultaneously develop the general mathematical theory and a discussion of some illustrative examples. After developing an appropriate formulation for the dynamics, we define the notion of an evolutionary stable attractor (ESA) and give some samples of ESAS with simple and complex dynamics. We discuss the relationship between our theory and that for ESSS in classical linear evolutionary game theory by considering some dynamical extensions. We then introduce and develop our main mathematical tool, the invasion exponent. This allows analytical and numerical analysis of relatively complex situations, such as the coevolution of multiple species with chaotic population dynamics. Using this, we introduce the notion of differential selective pressure which for generic systems is nonlinear and characterizes internal ESAS. We use this to analytically determine the ESAS in our previous examples. Then we introduce the phenotype dynamics which describe how a population with a distribution of phenotypes changes in time with or without mutations. We discuss the relation between the asymptotic states of this and the ESAS. Finally, we use our mathematical formulation to analyse a non-reproductive form of evolution in which various learning rules compete and evolve. We give a very tentative economic application which has interesting ESAS and phenotype dynamics.

Animals↗
PubMed1995

A genetical theory of species selection.

Species selection, differential rates of speciation or extinction resulting from species level characters, is often invoked as the main mechanism of macroevolution that is not simply an extension of microevolutionary processes. So long as we are careful in defining "species", the logic of species selection is sound. This does not mean, however, that this process can influence evolutionary dynamics under realistic conditions. The principal challenge to the efficacy of species selection as an evolutionary mechanism is the idea that selection between individuals within species will be so much more efficient as to swamp out any effects of selection between species. To assess this, a genetic model is constructed that includes simultaneous selection within and between species, and this is used to ask: under what conditions could species selection influence evolutionary dynamics, even in the face of opposing selection between individuals? The model shows that the efficacy of species selection is strongly determined by the time between speciation events (measured in individual generations), the mutation rate of the character under consideration, and the initial size of a newly formed reproductively isolated population. Data indicate that a few studied lineages have shown sufficiently high speciation rates to make species selection an important mechanism in the evolution of characters with mutation rates on the order of 10(-6) per generation. Quantitative characters, such as body size, generally change too readily for species selection to be relevant to their evolution. Complex characters, however, may be good candidates to be influenced by species selection. The interaction of selection within and between species can be subtle, with individual selection looking, from the standpoint of a species, very much like development of an individual. Furthermore, selection between individuals may be the main process assembling complex adaptations, while species selection allows them to persist over long periods of time.

Animals↗
PubMed2025

ScITree: Scalable Bayesian inference of transmission tree from epidemiological and genomic data.

Phylodynamic models capture joint epidemiological-evolutionary dynamics during an outbreak, providing a powerful tool to enhance understanding and management of disease transmission. Existing phylodynamic approaches, however, mostly rely on various non-mechanistic or semi-mechanistic approximations of the underlying epidemiological-evolutionary process. Previous work by Lau and colleagues has shown that full Bayesian mechanistic models, without relying on these approximations, can enable highly accurate joint inference of the epidemiological-evolutionary dynamics including the unobserved transmission tree. However, the Lau method faces major computational bottlenecks. As the volume of genomic data collected during outbreaks continues to grow, it is crucial to develop scalable yet accurate phylodynamic methods. Here we propose a new Bayesian phylodynamic model, overcoming the major scalability issue in the previous method and enabling a readily deployable, yet accurate, phylodynamic modeling framework. Specifically, we develop a scalable spatio-temporal phylodynamic framework for inferring the transmission tree (ScITree) and other key epidemiological parameters considering the infinite sites assumption in modeling mutation on the sequence level, in contrast to the Lau method in which mutation was modeled explicitly on the nucleotide level. Our approach features full Bayesian implementation utilizing an exact likelihood to mechanistically integrate epidemiological and evolutionary processes. We develop a computationally-efficient data-augmentation Markov Chain Monte Carlo algorithm, inferring key model parameters and unobserved dynamics including the transmission tree. We assess performance of our method using multiple simulated outbreak datasets. Our results indicate that our method can achieve high inference accuracy, comparable to the performance of the Lau method. Additionally, our method scales significantly more efficiently for large outbreaks, with computing time increasing linearly with outbreak size, compared to the exponential scaling of the Lau method. We also demonstrate our method's utility by applying our validated modeling framework to a dataset describing a foot-and-mouth disease outbreak in the UK. Our results show that our method is able to generate estimates of the transmission dynamics consistent with those from the prior method, further demonstrating the robustness of our new approach. In summary, our method provides a computationally-efficient, highly scalable, accurate modeling framework for inferring the joint spatio-temporal dynamics of epidemiological and evolutionary processes, facilitating timely and effective outbreak responses in space and time. Our method is implemented in our R package ScITree.

Bayes Theorem↗
PubMed1999

Population dynamics and the evolution of virulence in epidemiological models with discrete host generations

Chaos is the likely outcome of the interaction between a parasite and a host with discrete generations, if the parasite's virulence is high and if transmission from one generation to the next is held constant. We studied two alternative routes of transmission-vertical transmission from infecteds to their offspring, and transmission via long-lasting spores produced in those individuals that were killed by the infection-to investigate the influence of the transmission route on the system's evolution and population dynamics. The major results are: (1) vertical transmission often leads to low virulence, thus confirming most epidemiological models. However, if hosts can become super-infected, the evolutionary dynamics of virulence can have several equilibrium points, including 100% disease-induced mortality; (2) when parasites are transmitted with long-lasting spores, the evolutionary dynamics of virulence can become unstable, leading to the repeated bifurcation of two sub-populations with high and low virulence or to punctuated equilibria with sudden changes in the average level of virulence; (3) in general, the evolution of virulence moves the system to an area where the population dynamics are stable. When evolution leads to chaos, the system most often becomes extinct. Only for a restricted parameter space in the system where transmission from one generation to the next is via long-lasting spores do the dynamics become chaotic without extinction of the system. Copyright 1999 Academic Press.

Journal Article↗
PubMed2025

An Alternative Self-Splicing Intron Lifecycle Revealed by Dynamic Intron Turnover in Epichloë Endophyte Mitochondrial Genomes.

Self-splicing group I and II introns are selfish genetic elements that are widely yet patchily distributed across the tree of life. Their selfish behavior comes from super-Mendelian inheritance behaviors, collectively called "homing", which allow them to rapidly spread within populations to the specific genomic sites they home into. Observations of self-splicing intron evolutionary dynamics have led to the formulation of an intron "lifecycle" model where, once fixed in a population, the introns lose selection for homing and undergo an extensive period of degradation until their eventual loss. Here, we find that self-splicing introns are common in the mitochondrial genomes of Epichloë species, endophytic fungi that live in symbioses with grasses. However, these introns show substantial intron presence-absence polymorphism, with our analyses suggesting that these result from a combination of vertical intron inheritance coupled with multiple invasion and loss events over the course of Epichloë evolution. Surprisingly, we find little evidence for the extensive intron degradation expected under the existing intron lifecycle model. Instead, these introns in Epichloë appear to be lost soon after fixation, suggesting that Epichloë self-splicing introns have a different lifecycle. However, rapid intron loss alone cannot explain our results, indicating that additional factors, such as the evolution of homing suppressors, also contribute to Epichloë self-splicing intron dynamics. This work shows that self-splicing introns have more diverse evolutionary dynamics than previously appreciated.

Introns↗
PubMed1998

The universal ancestor.

A genetic annealing model for the universal ancestor of all extant life is presented; the name of the model derives from its resemblance to physical annealing. The scenario pictured starts when "genetic temperatures" were very high, cellular entities (progenotes) were very simple, and information processing systems were inaccurate. Initially, both mutation rate and lateral gene transfer levels were elevated. The latter was pandemic and pervasive to the extent that it, not vertical inheritance, defined the evolutionary dynamic. As increasingly complex and precise biological structures and processes evolved, both the mutation rate and the scope and level of lateral gene transfer, i.e., evolutionary temperature, dropped, and the evolutionary dynamic gradually became that characteristic of modern cells. The various subsystems of the cell "crystallized," i.e., became refractory to lateral gene transfer, at different stages of "cooling," with the translation apparatus probably crystallizing first. Organismal lineages, and so organisms as we know them, did not exist at these early stages. The universal phylogenetic tree, therefore, is not an organismal tree at its base but gradually becomes one as its peripheral branchings emerge. The universal ancestor is not a discrete entity. It is, rather, a diverse community of cells that survives and evolves as a biological unit. This communal ancestor has a physical history but not a genealogical one. Over time, this ancestor refined into a smaller number of increasingly complex cell types with the ancestors of the three primary groupings of organisms arising as a result.

Animals↗
PubMed2003

Ancient origin of the tryptophan operon and the dynamics of evolutionary change.

The seven conserved enzymatic domains required for tryptophan (Trp) biosynthesis are encoded in seven genetic regions that are organized differently (whole-pathway operons, multiple partial-pathway operons, and dispersed genes) in prokaryotes. A comparative bioinformatics evaluation of the conservation and organization of the genes of Trp biosynthesis in prokaryotic operons should serve as an excellent model for assessing the feasibility of predicting the evolutionary histories of genes and operons associated with other biochemical pathways. These comparisons should provide a better understanding of possible explanations for differences in operon organization in different organisms at a genomics level. These analyses may also permit identification of some of the prevailing forces that dictated specific gene rearrangements during the course of evolution. Operons concerned with Trp biosynthesis in prokaryotes have been in a dynamic state of flux. Analysis of closely related organisms among the Bacteria at various phylogenetic nodes reveals many examples of operon scission, gene dispersal, gene fusion, gene scrambling, and gene loss from which the direction of evolutionary events can be deduced. Two milestone evolutionary events have been mapped to the 16S rRNA tree of Bacteria, one splitting the operon in two, and the other rejoining it by gene fusion. The Archaea, though less resolved due to a lesser genome representation, appear to exhibit more gene scrambling than the Bacteria. The trp operon appears to have been an ancient innovation; it was already present in the common ancestor of Bacteria and Archaea. Although the operon has been subjected, even in recent times, to dynamic changes in gene rearrangement, the ancestral gene order can be deduced with confidence. The evolutionary history of the genes of the pathway is discernible in rough outline as a vertical line of descent, with events of lateral gene transfer or paralogy enriching the analysis as interesting features that can be distinguished. As additional genomes are thoroughly analyzed, an increasingly refined resolution of the sequential evolutionary steps is clearly possible. These comparisons suggest that present-day trp operons that possess finely tuned regulatory features are under strong positive selection and are able to resist the disruptive evolutionary events that may be experienced by simpler, poorly regulated operons.

Evolution, Molecular↗
PubMed2001

Maternal effects, paternal effects and sexual selection.

Maternal and paternal effects can lead to complicated evolutionary dynamics, including evolution in the opposite direction to selection. Recent studies demonstrate that parental effects on sexually selected traits, as well as preferences for those traits, might be large. Although these findings are likely to have consequences for both the evolutionary dynamics and equilibria of sexual selection, theory is lacking. Because parents are expected to maximize their own fitness, rather than that of a specific offspring, the magnitude (and even direction) of parental effects are context dependent. By extension, this dynamic nature of parental effects might help to explain the maintenance of variation in many sexually selected traits.

Journal Article↗
PubMed1991

Models of repression of transposition in P-M hybrid dysgenesis by P cytotype and by zygotically encoded repressor proteins.

By analytical theory and computer simulation the expected evolutionary dynamics of P transposable element spread in an infinite population are investigated. The analysis is based on the assumption that, unlike transposable elements which move via RNA intermediates, the harmful effects of P elements arise primarily in the act of transposition, and that this causes their evolutionary dynamics to be unusual. It is suggested that a situation of transposition-selection balance will be superceded by the buildup of a cytoplasmically inherited repression or by the elimination of active transposase-encoding elements from the chromosomes, a process which may be accompanied by the evolution of elements which encode proteins which repress transposition.

Animals↗
PubMed2002

Computational and evolutionary aspects of language.

Language is our legacy. It is the main evolutionary contribution of humans, and perhaps the most interesting trait that has emerged in the past 500 million years. Understanding how darwinian evolution gives rise to human language requires the integration of formal language theory, learning theory and evolutionary dynamics. Formal language theory provides a mathematical description of language and grammar. Learning theory formalizes the task of language acquisition it can be shown that no procedure can learn an unrestricted set of languages. Universal grammar specifies the restricted set of languages learnable by the human brain. Evolutionary dynamics can be formulated to describe the cultural evolution of language and the biological evolution of universal grammar.

Biological Evolution↗
PubMed2002

Evolution of transcription factor binding sites in Mammalian gene regulatory regions: conservation and turnover.

Comparisons between human and rodent DNA sequences are widely used for the identification of regulatory regions (phylogenetic footprinting), and the importance of such intergenomic comparisons for promoter annotation is expanding. The efficacy of such comparisons for the identification of functional regulatory elements hinges on the evolutionary dynamics of promoter sequences. Although it is widely appreciated that conservation of sequence motifs may provide a suggestion of function, it is not known as to what proportion of the functional binding sites in humans is conserved in distant species. In this report, we present an analysis of the evolutionary dynamics of transcription factor binding sites whose function had been experimentally verified in promoters of 51 human genes and compare their sequence to homologous sequences in other primate species and rodents. Our results show that there is extensive divergence within the nucleotide sequence of transcription factor binding sites. Using direct experimental data from functional studies in both human and rodents for 20 of the regulatory regions, we estimate that 32%-40% of the human functional sites are not functional in rodents. This is evidence that there is widespread turnover of transcription factor binding sites. These results have important implications for the efficacy of phylogenetic footprinting and the interpretation of the pattern of evolution in regulatory sequences.

Animals↗
PubMed2002

Mutualism promotes diversity and stability in a simple artificial ecosystem.

This work investigates the effect of ecological interactions between organisms on the evolutionary dynamics of a community. A spatially explicit, individual-based model is presented, in which organisms compete for space and resources. We investigated how introducing the potential for mutualistic relationships (where the presence of one type of organism stimulates the growth of another type, and vice versa) affected the evolutionary dynamics of the system. Without this potential, one or a small number of individual types of organisms dominated the simulated community from the onset. When mutualistic relationships were allowed, many persisting types arose, with new types appearing continually. Furthermore, we investigated how the stability of the community differed when mutualistic relationships were allowed and disallowed. Our results suggest that the existence of mutualistic relationships improved community stability.

Biological Evolution↗
PubMed2003

The evolution of resource use.

The evolution of a consumer exploiting two resources is investigated. The strategy x under selection represents the fraction of time or energy an individual invests into extracting the first resource. In the model, a dimensionless parameter alpha quantifies how simultaneous consumption of both resources influences consumer growth; alpha<0 corresponds to hemi-essential resources, 0 1 corresponds to antagonistic resources. An analysis of the ecological and evolutionary dynamics leads to five conclusions. First, when alpha< or =1, there is a unique singular strategy x* for the adaptive dynamics and it is evolutionarily stable and globally convergent stable. Second, when alpha=1, the singular strategy x* corresponds to the populations exhibiting an ideal free distribution and a population playing this strategy can invade and displace populations playing any other strategy. Third, when alpha>1, the strategies x=0 and x=1 are evolutionarily stable and convergent stable. Hence, if the populations initially specialize on one resource, evolution amplifies this specialization. Fourth, when alpha is slightly larger than one (i.e. the resources are slightly antagonistic), there is a convergent stable singular strategy whose basin of attraction is almost the entire strategy space (0,1). This singular strategy is evolutionarily unstable and serves as an evolutionary branching point. Following evolutionary branching, our analysis and numerical simulations suggest that evolutionary dynamics are driven toward an end state consisting of two populations specializing on different resources. Fifth, when alpha>>1, there is only one singular strategy and it is convergent unstable and evolutionarily unstable. Hence, if resources are overly antagonistic, evolutionary branching does not occur and ultimately only one resource is exploited.

Animals↗
PubMed2002

High fidelity of mitochondrial genome transmission under the doubly uniparental mode of inheritance in freshwater mussels (Bivalvia: Unionoidea).

Doubly uniparental inheritance (DUI) of mitochondrial DNA (mtDNA) has been demonstrated in both mytilid and unionid bivalves. Under DUI, females pass on their mtDNA to both sons and daughters, whereas males pass on their mtDNA to only sons. In mytilids, the loss of an original male (or M) mitotype, with its subsequent replacement by that lineage's female (or F) mitotype, has been called a role-reversal or, more specifically, a masculinization event. Multiple masculinization events have been inferred during the evolutionary history of mytilids but not unionids. The perceived lack of role-reversal events in unionids may represent a significant difference in the evolutionary dynamics of DUI between the two bivalve taxa or simply a lack of sufficient taxon sampling in unionids. To evaluate these alternative hypotheses, six additional unionoidean bivalve genera were sampled for DUI including one genus from the sister taxon of the Unionidae, the Hyriidae. Phylogenetic analyses of 619 base pairs of cytochrome c oxidase I (COI) from eight genera (nine species) of unionoidean bivalves, plus the sister taxon to the Unionoida, Neotrigonia, revealed that the M and F unionoidean mitotypes were contained in gender-specific, topologically congruent clades. This supports the hypothesis that either role-reversal events do not occur in unionoideans or, if they do occur, their products are ephemeral in an evolutionary sense. Furthermore, the fact that the mantle-tissue-derived Neotrigonia mitotype is the sister mitotype to the unionoidean F mitotype clade suggests that DUI has been operating with high fidelity in unionoids for at least 200 million years. A relatively low incidence of interspecific hybridization in unionoideans and a possibly obligate role for the M mitotype in unionoidean gender determination are offered as potential explanations for the disparate evolutionary dynamics of DUI observed between mytilid and unionoidean bivalves.

Animals↗
PubMed1995

Contrasting histories of avian and mammalian Mhc genes revealed by class II B sequences from songbirds.

To explore the evolutionary dynamics of genes in the major histocompatibility complex (Mhc) in nonmammalian vertebrates, we have amplified complete sequences of the polymorphic second (beta1) and third (beta2) exons of class II beta chain genes of songbirds. The pattern of nucleotide substitution in the antigen-binding site of sequences cloned from three behaviorally and phylogenetically divergent songbirds [scrub jays Aphelocoma coerulescens), red-winged blackbirds (Agelaius phoeniceus), and house finches (Carpodacus mexicanus) reveals that class II B genes of songbirds are subject to the same types of diversifying forces as those observed at mammalian class II loci. By contrast, the tree of avian class II B genes reveals that orthologous relationships have not been retained as in placental mammals and that, unlike class II genes in mammals, genes in songbirds and chickens have had very recent common ancestors within their respective groups. Thus, whereas the selective forces diversifying class II B genes of birds are likely similar to those in mammals, their long-term evolutionary dynamics appear to be characterized by much higher rates of concerted evolution.

Amino Acid Sequence↗
PubMed2000

How genomic and developmental dynamics affect evolutionary processes.

Evolutionary genetics is concerned with natural selection and neutral drift, to the virtual exclusion of almost everything else. In its current focus on DNA variation, it reduces phenotypes to symbols. Varying phenotypes, however, are the units of evolution, and, if we want a comprehensive theory of evolution, we need to consider both the internal and external evolutionary forces that shape the development of phenotypes. Genetic systems are redundant, modular and subject to a variety of genomic mechanisms of "turnover" (transposition, gene conversion, unequal crossingover, slippage and so on). As such the construction and spread of novel combinations of modules by turnover, in particular within gene promoters, contributes significantly to the evolution of phenotypes. Furthermore, redundancy, turnover and modularity lead to ever more complex networks of genetic interactions and ever more functions for a given module. The significant interaction between genomic turnover and natural selection leads to a molecular coevolution between interacting modules and hence facilitates the establishment of biological novelties.

Animals↗
PubMed1997

Population Dynamics of Evolutionary Change: Demographic Parameters as Indicators of Fitness

I evaluated demographic parameters as indicators of fitness by calculating the net reproductive rate (R0), exponential rate of change (r), lifetime reproductive success (LRS), and Malthusian parameter (m) for nine genotypes and four phenotypes (two alleles at each of two independent loci) of an age-structured population. The given starting conditions included age-specific survival rates of males and females and age-specific fecundity of females for each genotype (to simplify the problem I presumed no differences in survivorship or fecundity of genotypes with the same phenotype) and the same age structure for each genotype. The prevailing genotype had the greatest m, but it did not have the greatest r, R0 , or LRS, or even the greatest survivorship of either juveniles or adults, or the greatest fecundity. This result indicates that m is the only correct measure of fitness (i.e., as a predictor of which genotype should prevail from among a group of genotypes) and that comparisons of r, R0 , LRS, juvenile or adult survival rates, or fecundity may be misleading indicators of which genotype should prevail (i.e., be most "fit") over time (i.e., be selected for).

Journal Article↗