Model construction and information on convergent cross mapping from Seasonal food webs with migrations: multi-season models reveal indirect species interactions in the Canadian Arctic tundra

• Main Authors: Hutchison, Chantal, Guichard, Frédéric, Legagneux, Pierre, Gauthier, Gilles, Bêty, Joël, Berteaux, Dominique, Fauteux, Dominique, Gravel, Dominique
• Format: Text
• Language: unknown
• Published: The Royal Society 2020
• Subjects: 19999 Mathematical Sciences not elsewhere classified; FOS Mathematics; Arctic; Arctic Ocean; Climate change; Global warming; Tundra
• Online Access: https://dx.doi.org/10.6084/m9.figshare.12597321; https://rs.figshare.com/articles/Model_construction_and_information_on_convergent_cross_mapping_from_Seasonal_food_webs_with_migrations_multi-season_models_reveal_indirect_species_interactions_in_the_Canadian_Arctic_tundra/12597321

Models incorporating seasonality are necessary to fully assess the impact of global warming on Arctic communities. Seasonal migrations are a key component of Arctic food webs that still elude current theories predicting a single community equilibrium. We develop a multi-season model of predator–prey dynamics using a hybrid dynamical systems framework applied to a simplified tundra food web (lemming–fox–goose–owl). Hybrid systems models can accommodate multiple equilibria, which is a basic requirement for modelling food webs whose topology changes with season. We demonstrate that our model can generate multi-annual cycling in lemming dynamics, solely from a combined effect of seasonality and state-dependent behaviour. We compare our multi-season model to a static model of the predator–prey community dynamics and study the interactions between species. Interestingly, including seasonality reveals indirect interactions between migrants and residents not captured by the static model. Further, we find that the direction and magnitude of interactions between two species are not necessarily accurate using only summer time-series. Our study demonstrates the need for the development of multi-season models and provides the tools to analyse them. Integrating seasonality in food web modelling is a vital step to improve predictions about the impacts of climate change on ecosystem functioning.This article is part of the theme issue ‘The changing Arctic Ocean: consequences for biological communities, biogeochemical processes and ecosystems’.