Population interaction structure and the coexistence of bacterial strains playing ‘rock–paper–scissors’

The simplest example of non‐transitive competition is the game rock–paper–scissors (RPS), which exhibits characteristic cyclic strategy replacement: paper beats rock, which in turn beats scissors, which in turn beats paper. In addition to its familiar use in understanding human decision‐making, rock–paper–scissors is also played in many biological systems. Among other reasons, this is important because it potentially provides a mechanism whereby species‐ or strain coexistence can occur in the face of intense competition. Kerr et al. (2002, Nature 418: 171–174) use complementary experiments and simulations to show that RPS‐playing toxic, resistant, and susceptible E. coli bacteria can coexist when interactions between the strains are spatially explicit. This raises the question of whether limited interactions associated with space are sufficient to allow strain coexistence, or whether space per se is crucial. I approach this question by extending the Kerr et al. model to include different (aspatial) population network structures with the same degree distributions as corresponding spatial lattice models. I show that the coexistence that occurs for some parameter combinations when simulated bacterial strains compete on lattices is absent when they compete on random regular graphs. Further, considering small‐world networks of intermediate ‘quenched randomness’ between lattices and random regular graphs, I show that only small deviations from pure spatial interactions are sufficient to prevent strain coexistence. These results emphasize the explicit role of space, rather than merely limited interactions, as being decisive in allowing the coexistence of toxic, resistant, and susceptible strains in this model system.     

Preemption of space can lead to intransitive coexistence of competitors

Intransitive competition has the potential to be a powerful contributor to species coexistence, but there are few proposed biological mechanisms that could create intransitivities in natural communities. Using a three‐species model of competition for space, we demonstrate a mechanism for coexistence that combines a colonization–competition tradeoff between two species with the ability of a third species to preempt space from the other competitors. The combination of differential abilities to colonize, preempt, and overtake space creates a community where no single species can exclude both of its competitors. The dynamics of this kind of community are analogous to rock‐paper‐scissors competition, and the three‐species community can persist even though not all pairs of species can coexist in isolation. In distinction to prior results, this is a mechanism of intransitivity that does not require nonhierarchical local interference competition. We present parameter estimates from a subtidal marine community illustrating how documented competitive traits can lead to preemption‐based intransitivities in natural communities, and we describe methods for an empirical test of the occurrence of this mechanism.     

Evolutionary classification of toxin mediated interactions in microorganisms

A trade-off between the parameters of Lotka–Volterra systems is used to give verifications of relations between intrinsic growth rate and limiting capacity and the stability type of the resulting dynamical system. The well known rock–paper–scissors game serves as a template for toxin mediated interactions, which is best represented by the bacteriocin producing Escherichia coli bacteria. There, we have three strains of the same species. The producer produces a toxin lethal to the sensitive, while the resistant is able to protect itself from that toxin. Due to the fact that there are costs for production and for resistance, a dynamics similar to the rock–paper–scissors game results. By using an adaptive dynamics approach for competitive Lotka–Volterra systems and assuming an inverse relation (trade-off) between intrinsic growth rate (IGR) and limiting capacity (LC) we obtain evolutionary and convergence stable relations between the IGR’s and the LC’s. Furthermore this evolutionary process leads to a phase topology of the population dynamics with a globally stable interior fixed point by leaving the interaction parameters constant. While the inverse trade-off stabilizes coexistence and does not allow branching, toxicity itself can promote diversification. The results are discussed in view of several biological examples indicating that the above results are structurally valid.     

普通野生稻-长喙毛茛泽泻-柳叶箬混作种群的竞争效应

以正交实验探讨了普通野生稻、长喙毛茛泽泻和地箬３因子各５个种植密度水平对各种群的影响,结果表明,混作３种地有不利影响,影响越大,中种群对于来自种间的竞争是敏感的,对来自种内竞争的影响也不可忽视。３个因子中,普通野生因子作用最大,柳叶箬因子次之,从测定的项目看,在不同的种植水平上,每一种群的无性繁殖率和单株生物量明显受到自身和其它因子的影响。初始密度越大,无性繁殖率越小。普通野生 稻和柳叶箬种群的单     

Population niche structure

Summary The response of twenty maternal families of the annual Abutilon theophrasti to two resource gradients, nutrient and light, was investigated. The structure of the population niche for both biomass and reproductive output was found to be quite different on the two gradients. On the light gradient there was a great diversity of responses among the families while on the nutrient gradient the families responded in a similar manner. On both gradients the plants showed a significant genotype/environment interaction. Three strategies for the production of seed variation have been proposed-all offspring are adapted to the same restricted environment, each offspring of an individual is adapted to a particular environment somewhat different thant that of its siblings, and all the offspring are able to grow in a wide range of environments. We found evidence for all three of these strategies amongst the families. The range of responses seen amongst families (of the same species) in this study was as broad as that found in previous studies among species of the old field annual community to which Abutilon theophrasti belongs. This has significant implications to the nature of competitive interactions and to the evolution of differential resource use in plant populations.     

A lotka-volterra model of coexistence between a sexual population and multiple asexual clones

At carrying capacity, small advantages in competitive ability can compensate a sexual population for its two-fold disadvantage in growth capacity when facing invasion by asexual mutants. In this paper, we develop a generic analytical model to consider the ecology of a sexual population comprising equal numbers of males and females, competing for shared prey resources with multiple female-only clones. We assume that the clones arise from the sexual population and are distinguished from it only by having narrower resource niches and twice the growth capacity. For sexual populations, at density-dependent carrying capacity, intra-specific competition between clonal individuals prevents them from realizing their two-fold advantage in intrinsic growth. This prediction leads to three novel outcomes: (i) a sexual population can coexist with any number of clones, provided their combined competitive impact remains less than the impact of the clones on each other; (ii) a sexual species can immediately exclude asexual invaders if it is a fast growing and strong competitor of shared resources and also has refuge in an abundant alternative resource; (iii) the rate of accumulation of clones in a sexual population will be slowed by intra and inter-specific competition amongst the clones themselves, in addition to the competitive impact from the original sexual population.     

中国纳入一级保护的极小种群野生植物濒危机制

为科学有效地保护极小种群野生植物, 明确其濒危机制具有重要意义。本文通过分析中国28种极小种群一级保护野生植物的种群特征及其濒危的内在原因和受威胁因素等, 总结了极小种群野生植物的濒危机制。极小种群野生植物的种群特征表现为遗传多样性低(13种)、衰退型种群结构(11种)、聚集型分布(11种)且分布区域狭窄(20种)。极小种群野生植物濒危的内在原因主要是繁殖力低(21种)和竞争能力弱(16种)。受威胁因素主要包括过度采挖等人类活动导致的种群数量减少(15种)和生境破坏(25种)以及气候变化等。因此, 除了保护极小种群野生植物免遭人类活动破坏, 保护策略应加强关注种群规模的维持和遗传多样性的保护。     

How competitive intransitivity and niche overlap affect spatial coexistence

Competitive intransitivity is mostly considered outside the main body of coexistence theories that rely primarily on the role of niche overlap and differentiation. How the interplay of competitive intransitivity and niche overlap jointly affects species coexistence has received little attention. Here, we consider a rock–paper–scissors competition system where interactions between species can represent the full spectra of transitive–intransitive continuum and niche overlap/differentiation under different levels of competition asymmetry. By comparing results from pair approximation that only considers interference competition between neighbouring cells in spatial lattices, with those under the mean-field assumption, we show that 1) species coexistence under transitive competition is only possible at high niche differentiation; 2) in communities with partial or pure intransitive interactions, high levels of niche overlap are not necessary to beget species extinction; and 3) strong spatial clustering can widen the condition for intransitive loops to facilitate species coexistence. The two mechanisms, competitive intransitivity and niche differentiation, can support species persistence and coexistence, either separately or in combination. Finally, the contribution of intransitive loops to species coexistence can be enhanced by strong local spatial correlations, modulated and maximised by moderate competition asymmetry. Our study, therefore, provides a bridge to link intransitive competition to other generic ecological theories of species coexistence.     

Mobility unevenness in rock–paper–scissors models

We investigate a tritrophic system whose cyclic dominance is modelled by the rock–paper–scissors game. We consider that organisms of one or two species are affected by movement limitations, which unbalances the cyclic spatial game. Performing stochastic simulations, we show that mobility unevenness controls the population dynamics. In the case of one slow species, the predominant species depends on the level of mobility restriction, with the slow species being preponderant if the mobility limitations are substantial. If two species face mobility limitations, our outcomes show that being higher dispersive does not constitute an advantage in terms of population growth. On the contrary, if organisms move with higher mobility, they expose themselves to enemies more frequently, being more vulnerable to being eliminated. Finally, our findings show that biodiversity benefits in regions where species are slowed. Biodiversity loss for high mobility organisms, common to cyclic systems, may be avoided with coexistence probability being higher for robust mobility limitations. Our results may help biologists understand the dynamics of unbalanced spatial systems where organisms’ dispersal is fundamental to biodiversity conservation.     

EQUIVALENCE OF COMPETITORS IN PLANT COMMUNITIES: A NULL HYPOTHESIS AND A FIELD EXPERIMENTAL APPROACH

One of the underlying assumptions of both theoretical and empirical community ecology is that the processes determining community composition and abundance of species are interactions specific to particular pairs of species. However, we argue that, in sessile plants at least, competitive interactions are not usually species-specific and that there exists a large degree of equivalence of the effect of species of similar growth form on the ability of any particular species to establish within a community. This null hypothesis of equivalence of competitive effects is based on three characteristics of plants: homogeneity of resource requirements among autotrophs; low encounter probabilities between individuals of any particular species pair; and the predominance of size asymmetries between competing individuals (e.g., seedling-adult interactions.) We present an experimental design to quantify competitive interactions among plant species under field conditions and therefore enable statistical comparisons of competitive abilities among species. The competitive effect of one “neighbor” species on one “target” species is measured as the slope of a regression of performance of target individuals on biomass (or other measure of amount) of its immediate neighbors. Use of the design to test for equivalence of competitive effects and other advantages are described.     

The interplay between species' positive and negative interactions shapes the community biomass–species richness relationship

We used an individual-based spatially-explicit model to assess the role of facilitation and plant strategies in shaping the 'community biomass–species richness' relationship. Facilitation had few impacts on community's richness under both the most benign (high community biomass) and the most severe (low community biomass) environments where its intensity was weak. From medium to high environmental severity, facilitation increased community richness, because all plant strategies were facilitated. In contrast, from low to medium environmental severity facilitation decreased community richness, because only the most competitive species were facilitated, which induced a decrease in the richness of the stress-tolerant species overwhelming the increase in richness of the competitive species. Above all, our simulations show how 'strategy-dependent' interactions among species combine to shape the humped-back biomass–species richness relationship. It also demonstrates that facilitative effects might have long-term negative effects on species richness, which result is not included in current facilitation models.     

Wild edible plants of the Sikkim Himalaya: Marketing, value addition and implications for management

This paper presents data on marketing, value addition and management concerns of the wild edible plants of the Sikkim Himalaya. At least 23 weekly markets, locally called ‘ Hats ’, have been identified in the state, and three markets, viz. Gangtok, Namchi and Singtam, were studied in detail, for one year, with reference to the availability, quantity sold and retailers involved with the marketing of wild edible species. A total of 44 wild edible species have been recorded to be sold annually in the three markets. Among all the species,Spondias axillaris was sold in highest quantity and more retailers were involved in its business than for any other wild edible plant. Other important species wereMachilus edulis, Diplazium esculentum, Eleagnus latifolia,Dendrocalamus hamiltonii, Agaricus and Baccaurea sapida. The rural economics of wild edible plants is estimated to be some 140 tons per annum, and the prices for various species have increased over the years. At Gangtok, prices increased 3 to 6 times from 1981 to 1996–1997. Analysis of the field data showed that the wild edible plants were an important source of income to the plant dwellers and subsistence for farm families. Value addition was done to a few wild edible species, and cost-benefit analysis showed that the income from the fruits could be increased by at least 3–5 times after making pickles, squash and jam. It was recorded that plant dwellers have open access for the collection of these plant resources, which often leads to their over exploitation, and the local state government at present lacks policies and strategies for protecting and promoting wild edible plants in any of its programs. It is suggested that suitable conservation practices and policies need to be formulated to conserve these plants in the wild habitats within the state.     

Loss and gain of sexual reproduction in the same stick insect

The outcome of competition between different reproductive strategies within a single species can be used to infer selective advantage of the winning strategy. Where multiple populations have independently lost or gained sexual reproduction it is possible to investigate whether the advantage is contingent on local conditions. In the New Zealand stick insect Clitarchus hookeri, three populations are distinguished by recent change in reproductive strategy and we determine their likely origins. One parthenogenetic population has established in the United Kingdom and we provide evidence that sexual reproduction has been lost in this population. We identify the sexual population from which the parthenogenetic population was derived, but show that the UK females have a post‐mating barrier to fertilisation. We also demonstrate that two sexual populations have recently arisen in New Zealand within the natural range of the mtDNA lineage that otherwise characterizes parthenogenesis in this species. We infer independent origins of males at these two locations using microsatellite genotypes. In one population, a mixture of local and nonlocal alleles suggested males were the result of invasion. Males in another population were most probably the result of loss of an X chromosome that produced a male phenotype in situ. Two successful switches in reproductive strategy suggest local competitive advantage for outcrossing over parthenogenetic reproduction. Clitarchus hookeri provides remarkable evidence of repeated and rapid changes in reproductive strategy, with competitive outcomes dependent on local conditions.     

Toward an ecological synthesis: a case for habitat selection

Habitat selection, and its associated density and frequency-dependent evolution, has a profound influence on such vital phenomena as population regulation, species interactions, the assembly of ecological communities, and the origin and maintenance of biodiversity. Different strategies of habitat selection, and their importance in ecology and evolution, can often be revealed simply by plots of density in adjacent habitats. For individual species, the strategies are closely intertwined with mechanisms of population regulation, and with the persistence of populations through time. For interacting species, strategies of habitat selection are not only responsible for species coexistence, but provide one of the most convenient mechanisms for measuring competition, and the various community structures caused by competitive interactions. Other kinds of interactions, such as those between predators and prey, demonstrate that an understanding of the coevolution of habitat-selection strategies among strongly interacting species is essential to properly interpret their spatial and temporal dynamics. At the evolutionary scale, the frequency dependence associated with habitat selection may often allow populations to diverge and diversify into separate species. Habitat selection thereby demonstrates how we can map microevolutionary strategies in behavior onto their population and community consequences, and from there, onto macroevolutionary patterns of speciation and adaptive radiation. We can anticipate that future studies of habitat selection will not only help us complete those maps, but that they will also continue to enrich the panoply of ideas that shape evolutionary ecology.     

Species‐specific limitation of vole population growth by least weasel predation: facilitation of coexistence?

Interspecific competition is usually understood as different species competing directly with each other for limited resources. However, predators can alter such competitive interactions substantially. Predation can promote the coexistence of species in a situation where it would otherwise be impossible, for example if a tradeoff between the competitive abilities and predation resistance of the prey species exists. The field vole Microtus agrestis and the sibling vole M. rossiaemeridionalis are sympatric grassland species, which compete for the same resources. At the population level sibling voles are suggested to be superior competitors to field voles, yet more vulnerable to predation. We tested the effects of predation on the two species in 0.5 ha outdoor enclosures by exposing vole populations to radio-collared freely-hunting least weasels Mustela nivalis nivalis for three weeks. Lethal and non-lethal impacts of predation limited population densities of both species during and after the experimental period, but the effect was more pronounced in sibling voles in which population densities decreased markedly during the treatment period and even after that. Field vole population densities remained stable under weasel predation, while densities increased in controls. Survival in both species was lower in treatment populations compared to controls, but the effect tended to be more pronounced in sibling voles and in females of both species. The average mass of adults in both species declined in the treatment populations. These results suggest that predation by least weasels can limit vole populations locally, even during favourable summer conditions, and have extended negative effects on the dynamics of vole populations. In addition, predation alleviated interspecific competition between the vole species and is, therefore, a potential factor enabling the coexistence of them.     

Coexistence of ecologically similar colonising species. II. Population differentiation in Drosophila aldrichi and D. Buzzatii for competitive effects and responses at different temperatures and allozyme variation in D. aldrichi

Drosophila aldrichi and D. buzzatii are cactophilic species that colonised Australia about 55–60 years ago. They are sympatric only in Australia. Thus they may be in the process of adapting to new environments and to each other, and diversifying among local, possibly isolated, populations. Larval competitive effects for three populations of each species (Roma, Planet Downs, and Binjour) were measured on semi-natural cactus rots at three temperatures, with preadult viability, developmental time and adult body weight scored for each sex and species. Populations of both species varied in their responses to the other species as competitor, and one D. buzzatii population (Roma) reduced larval performance of D. aldrichi significantly more than did other D. buzzatii populations. Geographic divergence for the three traits was similar in both species, with a relative performance index derived from these traits highest for Roma, second for Binjour, and least for the Planet Downs population of each species. The Roma D. aldrichi population was the most different from the other populations for the performance index and in terms of genetic distances derived from allozyme frequencies. Additionally, comparisons of climatic variables among the population localities showed that the Roma environment was most different from the others. Differential natural selection in different areas of the cactus distribution may be a major cause of population divergence in both species. Drosophila aldrichi is superior for some fitness components at the highest temperature. Thus temperature variation throughout the cactus distribution may contribute to the different ranges of these two species, with competitive exclusion of D. aldrichi in the southern, cooler region of the cactus distribution, but coexistence in the northern, warmer region.     

物种演化对人类活动作用下不同性质栖息地毁坏的响应

栖息地毁坏是物种多样性减少的首要因素之一, 因此研究物种演化对栖息地毁坏的响应是非常必要的。而栖息地的毁坏又有瞬间毁坏和持续毁坏两种, 以往对栖息地毁坏的研究集中在瞬间毁坏上, 而该文则是通过N_物种 竞争共存模型分析对比了物种演化对栖息地瞬间毁坏和持续毁坏的响应特征。研究发现 :不同性质的栖息地毁坏都会导致物种强弱关系的变化, 并非如通常所认为的强物种将免于遭受物种灭绝的威胁, 也不是强物种首先灭绝, 而是因集合种群结构的不同而异。在热带雨林群落, 瞬间毁坏下物种演化一般经历了强迫适应和恢复上升阶段, 而持续毁坏下物种得不到恢复, 只能持续衰退, 在较长一段时间内持续毁坏比瞬间毁坏更有利于物种的续存 ;而在温带森林群落, 瞬间毁坏下物种演化一般经历强迫适应, 恢复上升和准周期振荡, 最后平衡, 而持续毁坏下物种只能持续衰退, 出现了在栖息地持续毁坏率小于瞬间毁坏率时, 物种的栖息地占有率却小于瞬间毁坏时的占有率。     

On the evolution of reproductive rates in populations with equilibrium and cyclic densities

A mathematical model for studying the evolution of optimal life histories is presented. This model explicitly incorporates the population dynamics of the organism under evolution. Reproductive strategies in cyclic (or opportunistic) and stable (or equilibrium) populations are compared. A continuum of different kinds of population dynamics patterns may be obtained, the extremes of which are the opportunistic and equilibrium strategies (or species). Our analysis further predicts that more resources should be devoted to reproduction than to competitive abilities in an opportunistic species. For equilibrium species, the allocation priorities should be reversed. Predictions from the theory are compared with data on small rodent species exhibiting regular density variations.     

Contrasting the effects of environment,dispersal and biotic interactions to explain the distribution of invasive plants in alpine communities

Despite considerable efforts devoted to investigate the community assembly processes driving plant invasions, few general conclusions have been drawn so far. Three main processes, generally acting as successive filters, are thought to be of prime importance. The invader has to disperse (1st filter) into a suitable environment (2nd filter) and succeed in establishing in recipient communities through competitive interactions (3rd filter) using two strategies: competition avoidance by the use of different resources (resource opportunity), or competitive exclusion of native species. Surprisingly, despite the general consensus on the importance of investigating these three processes and their interplay, they are usually studied independently. Here we aim to analyse these three filters together, by including them all: abiotic environment, dispersal and biotic interactions, into models of invasive species distributions. We first propose a suite of indices (based on species functional dissimilarities) supposed to reflect the two competitive strategies (resource opportunity and competition exclusion). Then, we use a set of generalised linear models to explain the distribution of seven herbaceous invaders in natural communities (using a large vegetation database for the French Alps containing 5,000 community-plots). Finally, we measure the relative importance of competitive interaction indices, identify the type of coexistence mechanism involved and how this varies along environmental gradients. Adding competition indices significantly improved model’s performance, but neither resource opportunity nor competitive exclusion were common strategies among the seven species. Overall, we show that combining environmental, dispersal and biotic information to model invasions has excellent potential for improving our understanding of invader success.     

Cryptic diversity in Black rats Rattus rattus of the Galápagos Islands,Ecuador

Human activity has facilitated the introduction of a number of alien mammal species to the Galápagos Archipelago. Understanding the phylogeographic history and population genetics of invasive species on the Archipelago is an important step in predicting future spread and designing effective management strategies. In this study, we describe the invasion pathway of Rattus rattus across the Galápagos using microsatellite data, coupled with historical knowledge. Microsatellite genotypes were generated for 581 R. rattus sampled from 15 islands in the archipelago. The genetic data suggest that there are at least three genetic lineages of R. rattus present on the Galápagos Islands. The spatial distributions of these lineages correspond to the main centers of human settlement in the archipelago. There was limited admixture among these three lineages, and these finding coupled with low rates of gene flow among island populations suggests that interisland movement of R. rattus is rare. The low migration among islands recorded for the species will have a positive impact on future eradication efforts.