Gaël Beaunée is a researcher in epidemiology, specialized in epidemic modeling and parameters estimation. His work aims to unravel the complexity of the mechanisms underlying the spread of infectious diseases at different scales.

He is currently working in the bioepar lab in Nantes (France), which is part of the Animal Health Division of inra (the French National Institute for Agricultural Research), recruited as a Research scientists (CrCn) since October 2017.

In 2015 he defended his PhD thesis, prepared at inra in the bioepar unit and the maiage unit, on the study of the spread and control of a cattle endemic disease (paratuberculosis) at the regional scale, using mathematical modelling. Then, as a post-doctoral fellow in the maiage unit, he focused his work on studying the vulnerability of the cattle trade network to the spread of pathogens, and he also initiated research work on parameters estimation for complex dynamic stochastic models.

His current research focuses on inference procedure for partially observed dynamic processes, and more particularly on likelihood-free methods for simulation models, such as Approximate Bayesian Computation (ABC) and composite likelihood approach.

Ongoing projects

Models are powerful tools for better understanding the spread of pathogens and developing effective control plans, especially at a large scale. However, if these models are not properly calibrated, their predictive power and therefore their effectiveness in decision making can be dramatically reduced. This project will aim to improve inference methods in order to provide more accurate calibration of mechanistic models of animal disease spread. More specifically, it will investigate how to define the summary statistics, key points of likelihood free methods, and the added value of using genomic data in inference procedures.

PPApred is a research project aimed at bringing together research teams involved in statistical and mechanistic epidemiological modelling to improve predictions of the spread of an epizootic disease on a national scale, taking the example of African swine fever (ASF), including the interface between wildlife (wild boar populations) and industrial or open-air pig farming.

The spread and persistence of infectious diseases in livestock have adverse consequences for public health and animal health and welfare. Animal movements contribute to the (re-)introduction of infections in disease-free herds and regions. This project addresses scientific issues to provide, through an integrative approach, knowledge and novel methodological tools to more effectively control infectious cattle diseases preferentially spreading through trade.

Past projects

This project aimed to obtain a detailed understanding of cattle movements at different temporal and spatial scales (structural and economic elements), as the underpinning structure for the spread of pathogens on a large scale..

To optimize the design and implementation of control programs, a good understanding of the mechanisms underlying both the infection process and the allocation of resources of control actions is required. This project aimed to produce scientific knowledge and methods for the management of endemic infectious animal diseases and veterinary public health risks. The Mihmes project had two major interlinked strategic objectives: (1) to develop a new multi-level modelling framework to represent the complex interplay between numerous biological and managerial processes; and (2) to develop decision tools to evaluate the epidemio-economic effectiveness of disease prevention and control strategies at the scales of the herd, the region and the supply chain.

› website of the project

A program to visualize temporal graph data (network) combined with geographic information (node coordinates). It provides a straightforward tool for representing network data in an interactive way, in the form of static or dynamic visualization.

transmissio_dynamic_a.png

Reflection on the representation of the consecutive iterations of an optimization algorithm (i.e. the Nelder-Mead Simplex algorithm). Developed as part of a work on the development of an original estimation procedure, the generated visualization allows a representation of all the particles associated with their adequacy to the data, as well as the final result of the optimization.

simplex_map_crop.png

Scripts for different inference procedures: coming soon!

As Processing does not provide ready-to-use functions to draw some particular shapes, here is a file containing such usefull functions to draw arrows, particular shapes and other tips…

› download the file(s)

An implementation in p5.js of the well-known cellular automat: the Conway’s Game of Life.

› download the file(s)

A template to make poster in A0 and A1 size, based on the a0poster class. For each format, a tex file is provided as a framework for the poster. To use the style file provided, just add in the tex header file the following line: usepackage[opt1,opt2]{ScientificPosterTemplate}, where opt1 corresponds to the color format (for color defined in the template), and can be RGB, Coated or Uncoated; and opt2 is the poster format (A0 or A1), used to set the size of some spaces, figure legends and references part. The natbib package is used for the bibliography, with a superscript number for the references style.

› download the file(s)
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Picault, S., Huang, Y.-L., Sicard,V., Arnoux, S., Beaunée, G., Ezanno, P.

Stochastic mechanistic epidemiological models largely contribute to better understand pathogen emergence and spread, and assess control strategies at various scales (from within-host to transnational scale). However, developing realistic models which involve multi-disciplinary knowledge integration faces three major challenges in predictive epidemiology: lack of readability once translated into simulation code, low reproducibility and reusability, and long development time compared to outbreak time scale. We introduce here emulsion, an artificial intelligence-based software intended to address those issues and help modellers focus on model design rather than programming. emulsion defines a domain-specific language to make all components of an epidemiological model (structure, processes, parameters…) explicit as a structured text file. This file is readable by scientists from other fields (epidemiologists, biologists, economists), who can contribute to validate or revise assumptions at any stage of model development. It is then automatically processed by emulsion generic simulation engine, preventing any discrepancy between model description and implementation. The modelling language and simulation architecture both rely on the combination of advanced artificial intelligence methods (knowledge representation and multi-level agent-based simulation), allowing several modelling paradigms (from compartment-to individual-based models) at several scales (up to metapopulation). The flexibility of emulsion and its capability to support iterative modelling are illustrated here through examples of progressive complexity, including late revisions of core model assumptions. emulsion is also currently used to model the spread of several diseases in real pathosystems. emulsion provides a command-line tool for checking models, producing model diagrams, running simulations, and plotting outputs. Written in Python 3, emulsion runs on Linux, MacOS, and Windows. It is released under Apache-2.0 license. A comprehensive documentation with installation instructions, a tutorial and many examples is available from: https://sourcesup.renater.fr/emulsion-public.

Parlavantzas N., Pham L.M., Morin C., Arnoux S., Beaunée G., Qi L., Gontier P., Ezanno P.
Qi L., Beaunée G., Arnoux S., Dutta B.L., Joly A., Vergu E., Ezanno P.

To explore the regional spread of endemic pathogens, investigations are required both at within and between population levels. The bovine viral diarrhoea virus (BVDV) is such a pathogen, spreading among cattle herds mainly due to trade movements and neighbourhood contacts, and causing an endemic disease with economic consequences. To assess the contribution of both transmission routes on BVDV regional and local spread, we developed an original epidemiological model combining data-driven and mechanistic approaches, accounting for heterogeneous within-herd dynamics, animal movements and neighbourhood contacts. Extensive simulations were performed over 9 years in an endemic context in a French region with high cattle density. The most uncertain model parameters were calibrated on summary statistics of epidemiological data, highlighting that neighbourhood contacts and within-herd transmission should be high. We showed that neighbourhood contacts and trade movements complementarily contribute to BVDV spread on a regional scale in endemically infected and densely populated areas, leading to intense fade-out/colonization events: neighbourhood contacts generate the vast majority of outbreaks (72%) but mostly in low immunity herds and correlated to a rather short presence of persistently infected animals (P); trade movements generate fewer infections but could affect herds with higher immunity and generate a prolonged presence of P. Both movements and neighbourhood contacts should be considered when designing control or eradication strategies for densely populated region.

Lupo C., Travers MA., Tourbiez D., Barthélémy C.F., Beaunée G., Ezanno P.

Vibrio aestuarianus is a bacterium related to mortality outbreaks in Pacific oysters, Crassostrea gigas, in France, Ireland, and Scotland since 2011. Knowledge about its transmission dynamics is still lacking, impairing guidance to prevent and control the related disease spread. Mathematical modeling is a relevant approach to better understand the determinants of a disease and predict its dynamics in imperfectly observed pathosystems. We developed here the first marine epidemiological model to estimate the key parameters of V. aestuarianus infection at a local scale in a small and closed oyster population under controlled laboratory conditions. Using a compartmental model accounting for free-living bacteria in seawater, we predicted the infection dynamics using dedicated and model-driven collected laboratory experimental transmission data. We estimated parameters and showed that waterborne transmission of V. aestuarianus is possible under experimental conditions, with a basic reproduction number R0 of 2.88 (95% CI: 1.86; 3.35), and a generation time of 5.5 days. Our results highlighted a bacterial dose–dependent transmission of vibriosis at local scale. Global sensitivity analyses indicated that the bacteria shedding rate, the concentration of bacteria in seawater that yields a 50% chance of catching the infection, and the initial bacterial exposure dose W0 were three critical parameters explaining most of the variation in the selected model outputs related to disease spread, i.e., R0, the maximum prevalence, oyster survival curve, and bacteria concentration in seawater. Prevention and control should target the exposure of oysters to bacterial concentration in seawater. This combined laboratory–modeling approach enabled us to maximize the use of information obtained through experiments. The identified key epidemiological parameters should be better refined by further dedicated laboratory experiments. These results revealed the importance of multidisciplinary approaches to gain consistent insights into the marine epidemiology of oyster diseases.

Ben Romdhane R., Beaunée G., Camanes G., Guatteo R., Fourichon C., Ezanno P.

Paratuberculosis is a worldwide disease causing production losses in dairy cattle herds. Variability of cattle response to exposure to Mycobacterium avium subsp. paratuberculosis (Map) has been highlighted. Such individual variability could influence Map spread at larger scale. Cattle resistance to paratuberculosis has been shown to be heritable, suggesting genetic selection could enhance disease control. Our objective was to identify which phenotypic traits characterising the individual course of infection influence Map spread in a dairy cattle herd. We used a stochastic mechanistic model. Resistance consisted in the ability to prevent infection and the ability to cope with infection. We assessed the effect of varying (alone and combined) fourteen phenotypic traits characterising the infection course. We calculated four model outputs 25 years after Map introduction in a naïve herd: cumulative incidence, infection persistence, and prevalence of infected and affected animals. A cluster analysis identified influential phenotypes of cattle resistance. An ANOVA quantified the contribution of traits to model output variance. Four phenotypic traits strongly influenced Map spread: the decay in susceptibility with age (the most effective), the quantity of Map shed in faeces by high shedders, the incubation period duration, and the required infectious dose. Interactions contributed up to 12% of output variance, highlighting the expected added-value of improving several traits simultaneously. Combinations of the four most influential traits decreased incidence to less than one newly infected animal per year in most scenarios. Future genetic selection should aim at improving simultaneously the most influential traits to reduce Map spread in cattle populations.

Beaunée G., Vergu E., Joly A., Ezanno P.

Johne’s disease (paratuberculosis), a worldwide enzootic disease of cattle caused by Mycobacterium avium subsp. paratuberculosis (Map), mainly introduced into farms by purchasing infected animals, has a large economic impact for dairy producers. Since diagnostic tests used in routine are poorly sensitive, observing Map spread in the field is hardly possible, whereas there is a need for evaluating control strategies. Our objective was to provide a modelling framework to compare the efficacy of regional control strategies combining internal biosecurity measures and testing of traded animals, against Map spread in a metapopulation of dairy cattle herds. We represented 12,857 dairy herds located in Brittany (France), based on data from 2005 to 2013, used to calibrate herd sizes and demographic rates and to define trade events in a multiscale model of Map infection dynamics. By clustering and categorical descriptive analysis of intensive simulations of this model, based on a numerical experimental design, a large panel of control measures was explored. Their efficacy was assessed on model outputs such as the prevalence and probability of extinction at the metapopulation level. In addition, we proposed a scoring for the effort required to implement control measures and prioritized control strategies based on their theoretical epidemiological efficacy. Our results clearly indicate that eradication cannot be achieved on the mid term using available control measures. However, we identified relevant combinations of measures that lead to the control of Map spread with realistic level of implementation and coverage. The study highlights the challenge of controlling paratuberculosis in an endemically infected region as related to the poor test characteristics and frequent trade movements. Our model lays the foundations for a flexible and efficient tool to help collective animal health managers in defining relevant control strategies at a regional scale, accounting for local specificities in terms of contact network and farms’ characteristics.

Hoscheit P., Geeraert S., Beaunée G., Monod H., Gilligan C.A., Filipe J., Vergu E., Moslonka-Lefebvre M.

We present a simple and efficient microeconomic model incorporating generic components for trade of cattle at the level of agricultural holdings, using supply-and-demand processes as a basis for animal movements. By combining within-node dynamics of stocks with stochastic jumps describing animal exchanges between nodes, our model reproduces the dynamical network of animal trade between holdings. Variants of the model, either closely calibrated on the data, or based on mechanistic economical assumptions, are considered. In addition to mathematical investigation of the average dynamical behaviour, model performances are assessed on three datasets (including or not intermediary trade operators such as marketplaces and assembly centres), covering 5 years of cattle movement in the département of Finistère (France), as a case study. Model outputs are compared with data regarding the average size of traded batches per holding and the length of temporal trade chains with the potential to transmit disease across the market. We observe an overall good agreement with the data, with variations between models, depending on the criteria (aggregated or time-varying) and datasets considered. These findings highlight the impact of high-volume nodes such as markets and assembly centres on trade flows, as well as the importance of correctly reproducing temporal features of dynamical trade networks. Our study represents one of the first attempts of building dynamical models of livestock trade networks, incorporating simple economic mechanisms, proving to be useful for analysing and predicting cattle trade movements. Future work in this direction might lead to a more detailed analysis of the subnetworks (e.g. beef, dairy) of this complex market, as well as a better understanding of the economic drivers underlying cattle movement, allowing the improvement of predictions of its temporal features, especially in the context of outbreaks.

Beaunée G., Vergu E., Ezanno P.

Mycobacterium avium subsp. paratuberculosis (Map) causes Johne’s disease, with large economic consequences for dairy cattle producers worldwide. Map spread between farms is mainly due to animal movements. Locally, herd size and management are expected to influence infection dynamics. To provide a better understanding of Map spread between dairy cattle farms at a regional scale, we describe the first spatio-temporal model accounting simultaneously for population and infection dynamics and indirect local transmission within dairy farms, and between-farm transmission through animal trade. This model is applied to Brittany, a French region characterized by a high density of dairy cattle, based on data on animal trade, herd size and farm management (birth, death, renewal, and culling) from 2005 to 2013 for 12 857 dairy farms. In all simulated scenarios, Map infection highly persisted at the metapopulation scale. The characteristics of initially infected farms strongly impacted the regional Map spread. Network-related features of incident farms influenced their ability to contaminate disease-free farms. At the herd level, we highlighted a balanced effect of the number of animals purchased: when large, it led to a high probability of farm infection but to a low persistence. This effect was reduced when prevalence in initially infected farms increased. Implications of our findings in the current enzootic situation are that the risk of infection quickly becomes high for farms buying more than three animals per year. Even in regions with a low proportion of infected farms, Map spread will not fade out spontaneously without the use of effective control strategies.

Beaunée G., Gilot-Fromont E., Garel M., Ezanno P.

Seasonal variations in individual contacts give rise to a complex interplay between host demography and pathogen transmission. This is particularly true for wild populations, which highly depend on their natural habitat. These seasonal cycles induce variations in pathogen transmission. The seasonality of these biological processes should therefore be considered to better represent and predict pathogen spread. In this study, we sought to better understand how the seasonality of both the demography and social contacts of a mountain ungulate population impacts the spread of a pestivirus within, and the dynamics of, this population. We propose a mathematical model to represent this complex biological system. The pestivirus can be transmitted both horizontally through direct contact and vertically in utero. Vertical transmission leads to abortion or to the birth of persistently infected animals with a short life expectancy. Horizontal transmission involves a complex dynamics because of seasonal variations in contact among sexes and age classes. We performed a sensitivity analysis that identified transmission rates and disease-related mortality as key parameters. We then used data from a long-term demographic and epidemiological survey of the studied population to estimate these mostly unknown epidemiological parameters. Our model adequately represents the system dynamics, observations and model predictions showing similar seasonal patterns. We show that the virus has a significant impact on population dynamics, and that persistently infected animals play a major role in the epidemic dynamics. Modeling the seasonal dynamics allowed us to obtain realistic prediction and to identify key parameters of transmission.

Le Pape O., Modéran J., Beaunée G., Riera P., Nicolas D., Savoye N., Harmelin-Vivien M., Darnaude A.M., Brind’Amour A., Le Bris H., Cabral H., Vinagre C., Pasquaud S., França S., Kostecki C.

Coastal and estuarine nursery grounds are essential habitats for sustaining flatfish stocks since only these shallow and productive areas provide the high food supply that allows maximizing juvenile growth and survival in most flatfish species. However, the main organic matter sources at the basis of benthic food webs might differ drastically between estuarine nursery grounds under strong freshwater influences, where food webs are mainly supported by continental organic matter, and coastal ecosystems under limited freshwater influence, where the local marine primary production is the main source of carbon for the benthos. To better understand the links between continental inputs to the coastal zone and stock maintenance in the highly prized common sole, Solea solea (L.), we investigated the variability in the organic matter sources supporting the growth of its young-of-the-year (YoY) in five contrasted estuarine and coastal nursery grounds under varying freshwater influence. Stable isotopes of carbon and nitrogen allowed tracing the origin of the organic matter exploited by YoY soles in the very first months following their benthic settlement, i.e. when most of the juvenile mortality occurs in the species. A mixing model was run to unravel and quantify the contribution of all major potential sources of organic matter to sole food webs, with a sensitivity analysis allowing assessment of the impact of various trophic enrichment factors on model outputs. This meta-analysis demonstrated a relative robustness of the estimation of the respective contributions of the various organic matter sources. At the nursery scale, the upstream increase in freshwater organic matter exploitation by YoY soles and its positive correlation with inter-annual variations in the river flow confirmed previous conclusions about the importance of organic matter from continental origin for juvenile production. However, inter-site differences in the organic matter sources exploited for growth showed that, although freshwater organic matter use is significant in all nursery sites, it is never dominant, with especially high contributions of local primary production by microphytobenthos or saltmarsh macrophytes to juvenile sole growth in tidal nursery ecosystems. These patterns stress the need for maintaining both the intensity of freshwater inputs to the coastal zone and of local autochthonous primary production (especially that of the intertidal microphytobenthos) to preserve the nursery function of coastal and estuarine ecosystems.

Ezanno P., Beaunée G., Picault S., Arnoux S., Sicard V., Beaudeau F., Rault A., Vergu E.
Ben Romdhane R., Beaunée G., Camanes G., Guatteo R., Fourichon C., Ezanno P.
Beaunée G., Vergu E., Ezanno P.
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Vergu E., Beaunée G., Bidot C., Hoscheit P., Ezanno P.
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Olteanu M., Beaunée G., Bidot C., Laredo C., Vergu E.
Valdano E., Ferreri L., Darbon A., Poletto C., Savini L., Ippoliti C., Giovannini A., Brommesson P., Sellmann S., Wennergren U., Koher A., Basset J., Lentz H.H.K., Belik V., Hövel P., Jozwiak A., Enright J., Kao R.R., Ezanno P., Beaunée G., Vergu E., Fuchs R., Fuchs K., Vidondo B., Pascual A., Courcier E., Colizza V.
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Vergu E., Beaunée G., Ezanno P.
Vergu E., Beaunée G., Dutta B.L., Moslonka-Lefebvre M., Hoscheit P., Geeraert S., Monod H., Filipe J., Gilligan C.A., Ezanno P.
Beaunée G., Ezanno P., Joly A., Vergu E.
Vergu E., Dutta B., Moslonka-Lefebvre M., Beaunée G., Hoscheit P., Ezanno P.
Ezanno P., Beaunée G., Qi L., Arnoux S., Vergu E.
Beaunée G., Vergu E., Joly A., Ezanno P.
Ezanno P., Beaunée G., Dutta B.L., Pandit P., Hoch T., Beaudeau F., Vergu E.
Ezanno P., Beaunée G., Vergu E.
Beaunée G., Vergu E., Ezanno P.
Beaunée G., Vergu E., Ezanno P.
Vergu E., Dutta B.L., Monslonka-Lefebvre M., Beaunée G., Ezanno P.
Gilot-Fromont E., Beaunée G., Garel M., Ezanno P.
Ezanno P., Beaunée G., Garel M., Gilot-Fromont E.
Ezanno P., Beaunée G., Picault S., Arnoux S., Sicard V., Beaudeau F., Rault A., Vergu E.
Vergu E., Beaunée G., Joly A., Nicolas P., Ezanno P.
Beaunée G., Ezanno P., Joly A., Vergu E.
Hoscheit P., Geeraert S., Beaunée G., Monod H., Gilligan C.A., Filipe J., Vergu E., Moslonka-Lefebvre M.
Beaunée G., Vergu E., Joly A., Ezanno P.
Vergu E., Dutta B., Moslonka-Lefebvre M., Beaunée G., Geeraert S., Hoscheit P., Ezanno P.
Vergu E., Dutta B., Moslonka-Lefebvre M., Beaunée G., Geeraert S., Hoscheit P., Ezanno P.
Vergu E., Dutta B.L., Moslonka-Lefebvre M., Beaunée G., Hoscheit P., Geeraert S., Ezanno P.
Vergu E., Dutta B.L., Moslonka-Lefebvre M., Beaunée G., Hoscheit P., Monod H., Filipe J., Gilligan C.A., Ezanno P.
Vergu E., Dutta B., Moslonka-Lefebvre M., Beaunée G., Ezanno P.
Beaunée G., Vergu E., Ezanno P.
Gilot-Fromont E., Beaunée G., Garel M., Ezanno P.
Beaunée G., Ezanno P., Gilot-Fromont E., Garel M.
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Beaunée G., Ezanno P., Joly A., Nicolas P., Vergu E.
Ben Romdhane R., Camanes G., Guatteo R., Beaunée G., Fourichon C., Ezanno P.
Camanes G., Joly A., Ben Romdhane R., Beaunée G., Ezanno P.
Ben Romdhane R., Camanes G., Guatteo R., Beaunée G., Fourichon C., Ezanno P.
Beaunée G., Ezanno P., Vergu E.
Beaunée G., Vergu E., Ezanno P.
Arnoux S., Jegou Y., Beaunée G., Ezanno P.
Beaunée G., Vergu E., Ezanno P.
Beaunée G., Gilot-Fromont E., Garel M. and Ezanno P.
Beaunée G., Ezanno P., Garel M., Gilot-Fromont E.
Beaunée G.

Animal trade movements form complex and dynamic networks of contacts between herds, and are a major pathway for pathogen spread. Bovine paratuberculosis, due to Mycobacterium avium subsp. paratuberculosis (Map), is a widespread endemic disease, transmitted between herds through trade movements of undetected infected animals. It has a strong economic impact, causing production losses and premature culling. Besides, this chronic disease is characterized by a long incubation period and poorly sensitive screening tests. Therefore, field observation of Map spread is barely possible and its control remains a major challenge. The objective of this PhD thesis is to better understand Map spread at a regional scale using a modeling approach, and to compare control strategies combining internal and external biosecurity measures. Our model is the first multiscale mechanistic model of Map spread between dairy cattle herds, considering stochastic intra-herd dynamics (demography and infection), explicit indirect transmission, and heterogeneity of herd characteristics and livestock trade movements based on field data. Our results provide the essential foundation for a better understanding of Map spread in an endemic area, highlighting the importance of wholesaler holdings. Applied to the Brittany region (France), the model allows assessing the effectiveness of a large panel of control measures used alone and in combination, highlighting the key role of calf management. Using Bayesian inference from epidemiological data allowed informing on the risk of introducing an infected animal through animal purchases and the within-herd transmission rate. The effectiveness of controlling Map will depend on an efficient coordination of interventions and on available diagnostic tools.

Picault S., Ezanno P., Beaunée G.
Ezanno P., Beaunée G., Qi L., Vergu E.
Vergu E., Dutta B.L., Moslonka-Lefebvre M., Beaunée G., Geeraert S., Hoscheit P., Monod H., Filipe J., Gilligan C., Ezanno P.

The background animation at the top of the page represents a hypothetical epidemic process. The resulting visualization corresponds to the realization of a stochastic simulation during which two types of spheres, susceptible and infected (differentiated by their color) share the same space, the first being able to be infected by the second according to the contacts taking place. The larger the number of infected individuals encountered, the higher the probability of being infected. This animation is implemented using p5.js, inspired by the header animation of processingjs.org.

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