Recent Preprints

M M Martignoni, S Brordenstein, R C Tyson and J Garnier Beyond timescale separation: An eco-evolutionary consumer-resource theory of host-microbe symbioses. preprint (2025); [ DOI ]

S Jenouvrier, J Garnier, M Holland, J van de Walle, S Patrick, T Bonnet, K Delord, F Ventura, C Barbraud, H Weimerskirch. Forecasting evolution of phenotypic traits reveals climate mitigation is key to albatross persistence. preprint (2025);

V Brouard, V Calvez, F Chardard, J Garnier, H Hivert, F Lagoutière, H Leman and V Roos. Cooperators pull the wave: spread and evolution of cooperation. work in progress (2025)

N Boutillon, J Garnier, E Schertzer, J Tourniaire. Stochastic neutral fraction in stochastic partial differential equation. work in progress (2025);

Published articles

Mathematical analysis of propagation phenomena

J Garnier and P Lafontaine. Life history traits and dispersal shape neutral genetic diversity in metapopulations. J. Math. Biol., 84(45), 2022. [ DOI | hal ]

J Garnier and P Lafontaine. Dispersal and good habitat quality promote neutral genetic diversity in metapopulations. Bull. Math. Biol., 83(20), 2021. [ DOI | hal ]

L Roques, C Desbiez, K Berthier, S Soubeyrand, E Walker, E Klein, J Garnier, B Moury, and J Papaix. Emerging strains of watermelon mosaic virus in Southeastern France: model-based estimation of the dates and places of introduction. Sci. Rep., 11:7058, 2021. [ DOI | hal ]

N G Marculis, J Garnier, R Lui, and M A Lewis. Inside dynamics for stage-structured integrodifference equations. J. Math. Biol., 80:157--187, 2020. [ DOI | hal ]

E Bouin, J Garnier, C K Henderson, and F Patout. Thin front limit of an integro--differential Fisher--KPP equation with fat--tailed kernels. SIAM J. Math. Anal., 50(3):3365--3394, 2018. [ DOI | hal ]

J Garnier, F Hamel, and L Roques. Transition fronts and stretching phenomena for a general class of reaction-dispersion equations. Discrete Contin. Dyn. Syst., 37(2):743--756, 2017. [ DOI | hal ]

J Garnier and M A Lewis. Expansion under climate change: The genetic consequences. Bull. Math. Biol., 78(11):2165--2185, 2016. [ DOI | hal ]

O Bonnefon, J Coville, J Garnier, F Hamel, and L Roques. The spatio--temporal dynamics of neutral genetic diversity. Ecol. Complex., 20:282--292, 2014. [ DOI | hal ]

O Bonnefon, J Coville, J Garnier, and L Roques. Inside dynamics of solutions of integro-differential equations. Discrete Contin. Dyn. Syst. Ser. B, 19(10):3057--3085, 2014. [ DOI | hal ]

O Bonnefon, J Garnier, F Hamel, and L Roques. Inside dynamics of delayed traveling waves. Math. Model. Nat. Phenom., 8:42--59, 2013. [ DOI | hal ]

L Roques, J Garnier, F Hamel, and E Klein. Allee effect promotes diversity in traveling waves of colonization. Proc. Natl. Acad. Sci. U.S.A., 109:8828--8833, 2012. [ DOI | hal ]

J Garnier, T Giletti, F Hamel, and L Roques. Inside dynamics of pulled and pushed fronts. J. Math. Pures Appl., 11:173--188, 2012. [ hal ]

J Garnier, F Hamel, and L Roques. Success rate of a biological invasion and the spatial distribution of the founding population. Bull. Math. Biol., 74:453--473, 2012. [ DOI | hal ]

J Garnier, T Giletti, and G Nadin. Maximal and minimal spreading speeds for reaction diffusion equations in nonperiodic slowly varying media. J. Dyn. Differ. Equ., 24:521--538, 2012. [ DOI | hal ]

M Cristofol, J Garnier, F Hamel, and L Roques. Uniqueness from pointwise observations in a multi-parameter inverse problem. Commun. Pure Appl. Anal., 11:173--188, 2012. [ DOI | hal ]

J Garnier. Accelerating solutions in integro-differential equations. SIAM J. Math. Anal., 43:1955--1974, 2011. [ DOI | hal ]

Mathematical analysis of adaptation

J Garnier, O. Cotto, E. Bouin, T. Bourgeron, T. Lepoutre, O. Ronce, and V. Calvez. Adaptation of a quantitative trait to a changing environment: New analytical insights on the asexual and infinitesimal sexual models. Theor. Popul. Biol., 152:1--22, 2023. [ DOI | hal ]

R Forien, J Garnier, and F Patout. Ancestral lineages in mutation selection equilibria with moving optimum. Bull. Math. Biol., 84(93), 2022. [ DOI | hal ]

V Calvez, J Garnier, and F Patout. Asymptotic analysis of a quantitative genetics model with nonlinear integral operator. J. Éc. Polytech. Math., 6:537--579, 2019. [ DOI | hal ]

L Roques, J Garnier, and G Martin. Beneficial mutation--selection dynamics in finite asexual populations: a free boundary approach. Sci. Rep., 7:17838, 2017. [ DOI | hal ]

Mathematical analysis of eco-evolutionary adaptation

J van de Walle, J Garnier, T Bonnet, and S Jenouvrier. Toward a unified approach to modelling adaptation among demographers and evolutionary ecologists. Methods Ecol. Evol., 16(8):1644--1657, 2025. [ DOI | hal ]

S Jenouvrier, A Eparvier, B Sen, F Ventura, C Che-Castaldo, M Holland, L Landrum, K Krumhardt, J Garnier, K Delord, C Barbraud, and P Trathan. Living with uncertainty: Using multi-model large ensembles to assess emperor penguin extinction risk for the iucn red list. Biol. Conserv., 305:111037, 2025. [ DOI | hal ]

J Garnier, G Clucas, J Younger, B Sen, C Barbraud, M Larue, A D Fraser, S Labrousse, and S Jenouvrier. Coupling genetic and demographic data to reveal dispersal processes in emperor penguins. Ecol. Evol., 15(5):e71367, 2025. [ DOI | hal ]

S Jenouvrier, M Holland, D Iles, S Labrousse, L Landrum, J Garnier, H Caswell, H Weimerskirch, M LaRue, R Ji, and C Barbraud. The paris agreement objectives will likely halt future declines of emperor penguins. Glob. Change Biol., 00:1170--1184, 2020. [ DOI | hal ]

S Jenouvrier, J Garnier, F Patout, and L Desvillettes. Influence of dispersal processes on the global dynamics of emperor penguin, a species threatened by climate change. Biol. Conserv., 212:63 -- 73, 2017. [ DOI | hal ]

Biodiversity, propagation, and evolution of mutualistic commuanities

M M Martignoni, J Garnier, R C Tyson, K D Harris, and O Kolodny. Towards a theory of microbially-mediated invasion encompassing parasitism and mutualism. Biol. Invasions, 27(253), 2025. [ DOI | hal ]

M M Martignoni, R C Tyson, O Kolodny, and J Garnier. Mutualism at the leading edge: insights into the eco-evolutionary dynamics of host-symbiont communities during range expansion. J. Math. Biol., 88(24), 2024. [ DOI | hal ]

M Ohlmann, J Garnier, and L Vuillon. metanetwork: A R package dedicated to handling and representing trophic metanetworks. Ecol. Evol., 13(8):e10229, 2023. [ DOI | hal ]

L Ledru, J Garnier, O Guillot, E Faou, C Noûs, and S Ibanez. The evolutionary dynamics of plastic foraging and its ecological consequences: a resource-consumer model. Peer Community J., 3, 2023. [ DOI | hal ]

L Ledru, J Garnier, M Rohr, C Nous, and S Ibanez. Mutualists construct the ecological conditions that trigger the transition from parasitism. Peer Community J., 2, 2022. [ DOI | hal ]

M M Martignoni, J Garnier, X Zhang, D Rosa, V Kokkoris, R C Tyson, and M M Hart. Co-inoculation with arbuscular mycorrhizal fungi differing in carbon sink strength induces a synergistic effect in plant growth. J. Theor. Biol., 531:110859, 2021. [ DOI | hal ]

M M Martignoni, J Garnier, M M Hart, and R C Tyson. Investigating the impact of the mycorrhizal inoculum on the resident fungal community and on plant growth. Ecol. Model., 438:109321, 2020. [ DOI | hal ]

M M Martignoni, M M Hart, J Garnier, and R C Tyson. Parasitism within mutualist guilds explains the maintenance of diversity in multi-species mutualisms. Theor. Ecol., 13:615--627, 2020. [ DOI | hal ]

M M Martignoni, M M Hart, R C Tyson, and J Garnier. Diversity within mutualist guilds promotes coexistence and reduces the risk of invasion from an alien mutualist. Proc. R. Soc. B, 287(1923):20192312, 2020. [ DOI | hal ]

Book chapiter

L Roques, J-P Rossi, H Berestycki, J Rousselet, J Garnier, J-M Roquejoffre, L Rossi, S Soubeyrand, and C Robinet. Modeling the Spatio-temporal Dynamics of the Pine Processionary Moth, pages 227--263. Springer Netherlands, 2015. [ DOI ]

Thesis

• J Garnier. Reaction-dispersion models in ecology and evolution: Adaptation to changing environment, habilitation à diriger des recherches, 2025;
• J Garnier. Analyse mathématique de modèles de dynamique des populations : équations aux dérivées partielles paraboliques et équations intégro-différentielles , thèse de doctorat (directeurs de thèse : F Hamel et L Roques), 2012.