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Dive into the research topics where Frédéric M. Hamelin is active.

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Featured researches published by Frédéric M. Hamelin.


BMC Evolutionary Biology | 2010

Fitness costs associated with unnecessary virulence factors and life history traits: evolutionary insights from the potato late blight pathogen Phytophthora infestans

Josselin Montarry; Frédéric M. Hamelin; Isabelle Glais; Roselyne Corbière; Didier Andrivon

BackgroundIn gene-for-gene models of plant-pathogen interactions, the existence of fitness costs associated with unnecessary virulence factors still represents an issue, both in evolutionary biology and agricultural sciences. Measuring such costs experimentally has proven difficult, especially in pathogens not readily amenable to genetic transformation, since the creation of isogenic lines differing only by the presence or absence of avirulence genes cannot be achieved in many organisms. Here, we circumvented this difficulty by comparing fitness traits in groups of Phytophthora infestans isolates sharing the same multilocus fingerprint, but differing by their virulence/avirulence spectrum.ResultsFitness was assessed from calculations derived from the basic reproduction number, combining several life history traits (latent period, spore density and lesion growth rate) evaluated on leaflets of the potato cultivar Bintje, which is free of resistance genes. A statistically significant fitness cost was found in isolates virulent to the R10 resistance gene. That cost was due to a lower spore production in virulent isolates; however, the latent period was shorter in virulent isolates. Similar trends, although not statistically significant, were observed for the other genes tested.ConclusionThe data likely reflect the adaptive response of the pathogen to the cost associated with virulence. They suggest strong trade-offs between life history traits related to pathogenicity and adaptive biology of pathogens.


The American Naturalist | 2014

Allee effects and the evolution of polymorphism in cyclic parthenogens

Magda Castel; Ludovic Mailleret; Didier Andrivon; Virginie Ravigné; Frédéric M. Hamelin

Cyclic parthenogens alternate asexual reproduction with periodic episodes of sexual reproduction. Sexually produced free-living forms are often their only way to survive unfavorable periods. When sexual reproduction requires the mating of two self-incompatible individuals, mating limitation may generate an Allee effect, which makes small populations particularly vulnerable to extinction; parthenogenetic reproduction can attenuate this effect. However, asexual reproduction likely trades off with sexual reproduction. To explore the evolutionary implications of such a trade-off, we included recurrent mating events associated with seasonal interruptions in a simple population dynamics model. Following an adaptive dynamics approach, we showed that positive density dependence associated with Allee effects in cyclic parthenogens promotes evolutionary divergence in the level of investment in asexual reproduction. Although polymorphism may be transient, morphs mostly investing into sexual reproduction may eventually exclude those predominantly reproducing in an asexual manner. Asexual morphs can be seen as making cooperative investments into the common pool of mates, while sexual morphs defect, survive better, and may eventually fix in the population. Our findings provide a novel hypothesis for the frequent coexistence of sexual and asexual lineages, notably in plant parasitic fungi.


Theoretical Ecology | 2012

From elaborate to compact seasonal plant epidemic models and back: is competitive exclusion in the details?

Ludovic Mailleret; Magda Castel; Josselin Montarry; Frédéric M. Hamelin

Seasonality, or periodic host absence, is a central feature in plant epidemiology. In this respect, seasonal plant epidemic models take into account the way the parasite overwinters and generates new infections. These are termed primary infections. In the literature, one finds two classes of models: high-dimensional elaborate models and low-dimensional compact models, where primary infection dynamics are explicit and implicit, respectively. Investigating a compact model allowed previous authors to show the existence of a competitive exclusion principle. However, the way compact models derive from elaborate models has not been made explicit yet. This makes it unclear whether results such as competitive exclusion extend to elaborate models as well. Here, we show that assuming primary infection dynamics are fast in a standard elaborate model translates into a compact form. Yet, it is not that usually found in the literature. Moreover, we numerically show that coexistence is possible in this original compact form. Reversing the question, we show that the usual compact form approximates an alternate elaborate model, which differs from the earlier one in that primary infection dynamics are density dependent. We discuss to which extent these results shed light on coexistence within soil- and air-borne plant parasites, such as within the take-all disease of wheat and the grapevine powdery mildew cryptic species complexes, respectively.


Journal of Theoretical Biology | 2016

The evolution of plant virus transmission pathways.

Frédéric M. Hamelin; Linda J. S. Allen; Holly R. Prendeville; M. Reza Hajimorad; Michael Jeger

The evolution of plant virus transmission pathways is studied through transmission via seed, pollen, or a vector. We address the questions: under what circumstances does vector transmission make pollen transmission redundant? Can evolution lead to the coexistence of multiple virus transmission pathways? We restrict the analysis to an annual plant population in which reproduction through seed is obligatory. A semi-discrete model with pollen, seed, and vector transmission is formulated to investigate these questions. We assume vector and pollen transmission rates are frequency-dependent and density-dependent, respectively. An ecological stability analysis is performed for the semi-discrete model and used to inform an evolutionary study of trade-offs between pollen and seed versus vector transmission. Evolutionary dynamics critically depend on the shape of the trade-off functions. Assuming a trade-off between pollen and vector transmission, evolution either leads to an evolutionarily stable mix of pollen and vector transmission (concave trade-off) or there is evolutionary bi-stability (convex trade-off); the presence of pollen transmission may prevent evolution of vector transmission. Considering a trade-off between seed and vector transmission, evolutionary branching and the subsequent coexistence of pollen-borne and vector-borne strains is possible. This study contributes to the theory behind the diversity of plant-virus transmission patterns observed in nature.


Ecology Letters | 2014

The functional response predicts the effect of resource distribution on the optimal movement rate of consumers

Vincent Calcagno; Frédéric Grognard; Frédéric M. Hamelin; Eric Wajnberg; Ludovic Mailleret

Understanding how often individuals should move when foraging over patchy habitats is a central question in ecology. By combining optimality and functional response theories, we show analytically how the optimal movement rate varies with the average resource level (enrichment) and resource distribution (patch heterogeneity). We find that the type of functional response predicts the effect of enrichment in homogeneous habitats: enrichment should decrease movement for decelerating functional responses, but increase movement for accelerating responses. An intermediate resource level thus maximises movement for type-III responses. Counterintuitively, greater movement costs favour an increase in movement. In heterogeneous habitats predictions further depend on how enrichment alters the variance of resource distribution. Greater patch variance always increases the optimal rate of movement, except for type-IV functional responses. While the functional response is well established as a fundamental determinant of consumer-resource dynamics, our results indicate its importance extends to the understanding of individual movement strategies.


Evolutionary Ecology | 2015

Evolution of dispersal in asexual populations: to be independent, clumped or grouped?

Samuel Soubeyrand; Ivan Sache; Frédéric M. Hamelin; Etienne K. Klein

Abstract The question Why to disperse? has been extensively investigated from an evolutionary perspective, and the strategy to disperse can be explained by several proximate and ultimate factors. The amazing diversity of dispersal mechanisms that animals, plants, fungi, peat mosses and other organisms have developed leads to the following question: How to disperse? In this article, we introduce an original modeling framework to study the evolution of dispersal in asexual populations where reproducing individuals release propagules and can adopt (by mutation) three strategies: independent movements of all propagules, clump dispersal (i.e. clumps of propagules attached together and settling at the same location), or group dispersal (i.e. groups of propagules simultaneously released and settling at different but positively correlated locations). We show how the spatial limits and fragmentation of the species’ habitat shape the frequencies of the three strategies in the population and the sizes of groups and clumps. The co-existence of the independent, clump and group dispersal strategies at the stationary state of the population dynamics is of particular note. However, group dispersal never appeared as a dominant strategy, whereas independent and clump dispersal were both dominant for different parameter ranges (essentially because dispersal is either adaptive or maladaptive) .


Phytopathology | 2017

Modeling Virus Coinfection to Inform Management of Maize Lethal Necrosis in Kenya

Frank M. Hilker; Linda Js Allen; Vrushali A. Bokil; Cheryl J. Briggs; Zhilan Feng; Karen A. Garrett; Louis J Gross; Frédéric M. Hamelin; Michael Jeger; Carrie A. Manore; Alison G. Power; Margaret G. Redinbaugh; Megan A. Rúa; Nicholas James Cunniffe

Maize lethal necrosis (MLN) has emerged as a serious threat to food security in sub-Saharan Africa. MLN is caused by coinfection with two viruses, Maize chlorotic mottle virus and a potyvirus, often Sugarcane mosaic virus. To better understand the dynamics of MLN and to provide insight into disease management, we modeled the spread of the viruses causing MLN within and between growing seasons. The model allows for transmission via vectors, soil, and seed, as well as exogenous sources of infection. Following model parameterization, we predict how management affects disease prevalence and crop performance over multiple seasons. Resource-rich farmers with large holdings can achieve good control by combining clean seed and insect control. However, crop rotation is often required to effect full control. Resource-poor farmers with smaller holdings must rely on rotation and roguing, and achieve more limited control. For both types of farmer, unless management is synchronized over large areas, exogenous sources of infection can thwart control. As well as providing practical guidance, our modeling framework is potentially informative for other cropping systems in which coinfection has devastating effects. Our work also emphasizes how mathematical modeling can inform management of an emerging disease even when epidemiological information remains scanty. [Formula: see text] Copyright


Virus Research | 2017

The evolution of parasitic and mutualistic plant–virus symbioses through transmission-virulence trade-offs

Frédéric M. Hamelin; Frank M. Hilker; T. Anthony Sun; Michael Jeger; M. Reza Hajimorad; Linda J. S. Allen; Holly R. Prendeville

Virus-plant interactions range from parasitism to mutualism. Viruses have been shown to increase fecundity of infected plants in comparison with uninfected plants under certain environmental conditions. Increased fecundity of infected plants may benefit both the plant and the virus as seed transmission is one of the main virus transmission pathways, in addition to vector transmission. Trade-offs between vertical (seed) and horizontal (vector) transmission pathways may involve virulence, defined here as decreased fecundity in infected plants. To better understand plant-virus symbiosis evolution, we explore the ecological and evolutionary interplay of virus transmission modes when infection can lead to an increase in plant fecundity. We consider two possible trade-offs: vertical seed transmission vs infected plant fecundity, and horizontal vector transmission vs infected plant fecundity (virulence). Through mathematical models and numerical simulations, we show (1) that a trade-off between virulence and vertical transmission can lead to virus extinction during the course of evolution, (2) that evolutionary branching can occur with subsequent coexistence of mutualistic and parasitic virus strains, and (3) that mutualism can out-compete parasitism in the long-run. In passing, we show that ecological bi-stability is possible in a very simple discrete-time epidemic model. Possible extensions of this study include the evolution of conditional (environment-dependent) mutualism in plant viruses.


Bulletin of Mathematical Biology | 2017

Mate Limitation in Fungal Plant Parasites Can Lead to Cyclic Epidemics in Perennial Host Populations

Virginie Ravigné; Valérie Lemesle; Alicia Walter; Ludovic Mailleret; Frédéric M. Hamelin

Fungal plant parasites represent a growing concern for biodiversity and food security. Most ascomycete species are capable of producing different types of infectious spores both asexually and sexually. Yet the contributions of both types of spores to epidemiological dynamics have still to been fully researched. Here we studied the effect of mate limitation in parasites which perform both sexual and asexual reproduction in the same host. Since mate limitation implies positive density dependence at low population density, we modeled the dynamics of such species with both density-dependent (sexual) and density-independent (asexual) transmission rates. A first simple SIR model incorporating these two types of transmission from the infected compartment, suggested that combining sexual and asexual spore production can generate persistently cyclic epidemics in a significant part of the parameter space. It was then confirmed that cyclic persistence could occur in realistic situations by parameterizing a more detailed model fitting the biology of the Black Sigatoka disease of banana, for which literature data are available. We discuss the implications of these results for research on and management of Sigatoka diseases of banana.


Bellman Prize in Mathematical Biosciences | 2016

Sharing a resource with randomly arriving foragers.

Pierre Bernhard; Frédéric M. Hamelin

We consider a problem of foraging where identical foragers, or predators, arrive as a stochastic Poisson process on the same patch of resource. We provide effective formulas for the expected resource intake of any of the agents, as a function of its rank, given their common functional response. We give a general theory, both in finite and infinite horizon, and show two examples of applications to harvesting a common under different assumptions about the resource dynamics and the functional response, and an example of application on a model that fits, among others, a problem of evolution of fungal plant parasites.

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Ludovic Mailleret

Centre national de la recherche scientifique

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Didier Andrivon

Institut national de la recherche agronomique

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Anne Bisson

Institut national de la recherche agronomique

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Frédéric Fabre

Institut national de la recherche agronomique

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Vincent Calcagno

Institut national de la recherche agronomique

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Isabelle Glais

Institut national de la recherche agronomique

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