Section: Ecology
Topic: Biology of interactions, Ecology, Computer sciences

Diagnosis of planktonic trophic network dynamics with sharp qualitative changes

10.24072/pcjournal.417 - Peer Community Journal, Volume 4 (2024), article no. e58.

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Trophic interaction networks are notoriously difficult to understand and to diagnose (i.e., to identify contrasted network functioning regimes). Such ecological networks have many direct and indirect connections between species, and these connections are not static but often vary over time. These topological changes, as opposed to a dynamic on a static (frozen) network, can be triggered by natural forcings (e.g., seasons) and/or by human influences (e.g., nutrient or pollution inputs). Aquatic trophic networks are especially dynamic and versatile, thus suggesting new approaches for identifying network structures and functioning in a comprehensive manner.

In this study, a qualitative model was devised for this purpose. Applying discrete-event models from theoretical computer science, a mechanistic and qualitative model was developed that allowed computation of the exhaustive dynamics of a given trophic network and its environment. Once the model definition is assumed, it provides all possible trajectories of the network from a chosen initial state. In a rigorous and analytical approach, for the first time, we validated the model on one theoretical and two observed trajectories recorded at freshwater stations in the La Rochelle region (Western France). The model appears to be easy to build and intuitive, and it provides additional relevant trajectories to the expert community. We hope this formal approach will open a new avenue in identifying and predicting trophic (and non-trophic) ecological networks.

Published online:
DOI: 10.24072/pcjournal.417
Type: Research article
Keywords: Interaction network; Freshwater ecosystem; Qualitative model; Discrete-event model; Plankton

Gaucherel, Cedric 1; Fayolle, Stolian 1; Savelli, Raphael 2; Philippine, Olivier 3; Pommereau, Franck 4; Dupuy, Christine 2

1 AMAP - INRAE, CIRAD, CNRS, IRD, Montpellier University, Montpellier, France
2 LIENSs, UMRi 7266 La Rochelle University – CNRS, La Rochelle, France
3 UNIMA, Union des marais de Charente-Maritime, Périgny, France
4 IBISC, Evry, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     journal = {Peer Community Journal},
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Gaucherel, Cedric; Fayolle, Stolian; Savelli, Raphael; Philippine, Olivier; Pommereau, Franck; Dupuy, Christine. Diagnosis of planktonic trophic network dynamics with sharp qualitative changes. Peer Community Journal, Volume 4 (2024), article  no. e58. doi : 10.24072/pcjournal.417. https://peercommunityjournal.org/articles/10.24072/pcjournal.417/

PCI peer reviews and recommendation, and links to data, scripts, code and supplementary information: 10.24072/pci.ecology.100545

Conflict of interest of the recommender and peer reviewers:
The recommender in charge of the evaluation of the article and the reviewers declared that they have no conflict of interest (as defined in the code of conduct of PCI) with the authors or with the content of the article.

[1] Anderson, T. R. Plankton functional type modelling: running before we can walk?, Journal of Plankton Research, Volume 27 (2005) no. 11, pp. 1073-1081 | DOI

[2] Baldan, P.; Bocci, M.; Brigolin, D.; Cocco, N.; Heiner, M.; Simeoni, M. Petri Nets for Modelling and Analysing Trophic Networks, Fundamenta Informaticae, Volume 160 (2018) no. 1-2, pp. 27-52 | DOI

[3] Cosme, M.; Hély, C.; Pommereau, F.; Pasquariello, P.; Tiberi, C.; Treydte, A.; Gaucherel, C. Qualitative Modeling for Bridging Expert-Knowledge and Social-Ecological Dynamics of an East African Savanna, Land, Volume 11 (2021) no. 1 | DOI

[4] Dambacher, J. M.; Luh, H.; Li, H. W.; Rossignol, P. A. Qualitative Stability and Ambiguity in Model Ecosystems, The American Naturalist, Volume 161 (2003) no. 6, pp. 876-888 | DOI

[5] David, V.; Tortajada, S.; Savoye, N.; Breret, M.; Lachaussée, N.; Philippine, O.; Robin, F.-X.; Dupuy, C. Impact of human activities on the spatio-seasonal dynamics of plankton diversity in drained marshes and consequences on eutrophication, Water Research, Volume 170 (2020) | DOI

[6] Flynn, K. J. Reply to Horizons Article ‘Plankton functional type modelling: running before we can walk’ Anderson (2005): II. Putting trophic functionality into plankton functional types, Journal of Plankton Research, Volume 28 (2006) no. 9, pp. 873-875 | DOI

[7] Gaucherel, C. The Languages of Nature. When nature writes to itself, Lulu editions, Paris, France, 2019

[8] Gaucherel, C.; Fayolle, S.; Savelli, R.; Philippine, O.; Pommereau, F.; Dupuy, C. Diagnosis of planktonic trophic network dynamics with sharp qualitative changes, bioRxiv, 2023 | DOI

[9] Gaucherel, C.; Pommereau, F. Using discrete systems to exhaustively characterize the dynamics of an integrated ecosystem, Methods in Ecology and Evolution, Volume 10 (2019) no. 9, pp. 1615-1627 | DOI

[10] Giavitto, J.-L.; Michel, O. Modeling the topological organization of cellular processes, Biosystems, Volume 70 (2003) no. 2, pp. 149-163 | DOI

[11] Hansen, A. N.; Visser, A. W. Carbon export by vertically migrating zooplankton: an optimal behavior model, Limnology and Oceanography, Volume 61 (2016) no. 2, pp. 701-710 | DOI

[12] Hernández-Carrasco, I.; Rossi, V.; Hernández-García, E.; Garçon, V.; López, C. The reduction of plankton biomass induced by mesoscale stirring: A modeling study in the Benguela upwelling, Deep Sea Research Part I: Oceanographic Research Papers, Volume 83 (2014), pp. 65-80 | DOI

[13] Ings, T. C.; Montoya, J. M.; Bascompte, J.; Blüthgen, N.; Brown, L.; Dormann, C. F.; Edwards, F.; Figueroa, D.; Jacob, U.; Jones, J. I.; Lauridsen, R. B.; Ledger, M. E.; Lewis, H. M.; Olesen, J. M.; Van Veen, F. F.; Warren, P. H.; Woodward, G. Review: Ecological networks – beyond food webs, Journal of Animal Ecology, Volume 78 (2008) no. 1, pp. 253-269 | DOI

[14] Johnson, K. H. Trophic‐dynamic considerations in relating species diversity to ecosystem resilience, Biological Reviews, Volume 75 (2007) no. 3, pp. 347-376 | DOI

[15] Kerimoglu, O.; Jacquet, S.; Vinçon-Leite, B.; Lemaire, B. J.; Rimet, F.; Soulignac, F.; Trévisan, D.; Anneville, O. Modelling the plankton groups of the deep, peri-alpine Lake Bourget, Ecological Modelling, Volume 359 (2017), pp. 415-433 | DOI

[16] Kloosterman, M.; Campbell, S. A.; Poulin, F. J. An NPZ Model with State-Dependent Delay Due to Size-Structure in Juvenile Zooplankton, SIAM Journal on Applied Mathematics, Volume 76 (2016) no. 2, pp. 551-577 | DOI

[17] Kriest, I.; Khatiwala, S.; Oschlies, A. Towards an assessment of simple global marine biogeochemical models of different complexity, Progress in Oceanography, Volume 86 (2010) no. 3-4, pp. 337-360 | DOI

[18] Kumar, V.; Kumari, B. Mathematical modelling of the seasonal variability of plankton and forage fish in the Gulf of Kachchh, Ecological Modelling, Volume 313 (2015), pp. 237-250 | DOI

[19] Kéfi, S.; Berlow, E. L.; Wieters, E. A.; Joppa, L. N.; Wood, S. A.; Brose, U.; Navarrete, S. A. Network structure beyond food webs: mapping non‐trophic and trophic interactions on Chilean rocky shores, Ecology, Volume 96 (2015) no. 1, pp. 291-303 | DOI

[20] Kéfi, S.; Miele, V.; Wieters, E. A.; Navarrete, S. A.; Berlow, E. L. How Structured Is the Entangled Bank? The Surprisingly Simple Organization of Multiplex Ecological Networks Leads to Increased Persistence and Resilience, PLOS Biology, Volume 14 (2016) no. 8 | DOI

[21] König, B.; Nolte, D.; Padberg, J.; Rensink, A. A Tutorial on Graph Transformation, Graph Transformation, Specifications, and Nets, Springer International Publishing, Cham, 2018, pp. 83-104 | DOI

[22] Le Fouest, V.; Zakardjian, B.; Xie, H.; Raimbault, P.; Joux, F.; Babin, M. Modeling plankton ecosystem functioning and nitrogen fluxes in the oligotrophic waters of the Beaufort Sea, Arctic Ocean: a focus on light-driven processes, BiogeosciencesDiscuss, Volume 9 (2013) | DOI

[23] Legendre, L.; Rassoulzadegan, F. Plankton and nutrient dynamics in marine waters, Ophelia, Volume 41 (2012) no. 1, pp. 153-172 | DOI

[24] Maar, M.; Butenschön, M.; Daewel, U.; Eggert, A.; Fan, W.; Hjøllo, S. S.; Hufnagl, M.; Huret, M.; Ji, R.; Lacroix, G.; Peck, M. A.; Radtke, H.; Sailley, S.; Sinerchia, M.; Skogen, M. D.; Travers-Trolet, M.; Troost, T. A.; van de Wolfshaar, K. Responses of summer phytoplankton biomass to changes in top-down forcing: Insights from comparative modelling, Ecological Modelling, Volume 376 (2018), pp. 54-67 | DOI

[25] Majdi, N.; Hette-Tronquart, N.; Auclair, E.; Bec, A.; Chouvelon, T.; Cognie, B.; Danger, M.; Decottignies, P.; Dessier, A.; Desvilettes, C.; Dubois, S.; Dupuy, C.; Fritsch, C.; Gaucherel, C.; Hedde, M.; Jabot, F.; Lefebvre, S.; Marzloff, M. P.; Pey, B.; Peyrard, N.; Powolny, T.; Sabbadin, R.; Thébault, E.; Perga, M.-E. There's no harm in having too much: A comprehensive toolbox of methods in trophic ecology, Food Webs, Volume 17 (2018) | DOI

[26] Mao, Z.; Centanni, J.; Pommereau, F.; Stokes, A.; Gaucherel, C. Maintaining biodiversity promotes the multifunctionality of social-ecological systems: holistic modelling of a mountain system, Ecosystem Services, Volume 47 (2021) | DOI

[27] Masclaux, H.; Tortajada, S.; Philippine, O.; Robin, F.-X.; Dupuy, C. Planktonic food web structure and dynamic in freshwater marshes after a lock closing in early spring, Aquatic Sciences, Volume 77 (2014) no. 1, pp. 115-128 | DOI

[28] May, R. M. Qualitative Stability in Model Ecosystems, Ecology, Volume 54 (1973) no. 3, pp. 638-641 | DOI

[29] Meddeb, M.; Niquil, N.; Grami, B.; Mejri, K.; Haraldsson, M.; Chaalali, A.; Pringault, O.; Hlaili, A. S. A new type of plankton food web functioning in coastal waters revealed by coupling Monte Carlo Markov chain linear inverse method and ecological network analysis, Ecological Indicators, Volume 104 (2019), pp. 67-85 | DOI

[30] Mitra, A.; Flynn, K. J.; Fasham, M. J. R. Accounting for grazing dynamics in nitrogen‐phytoplankton‐zooplankton (NPZ) models, Limnology and Oceanography, Volume 52 (2007) no. 2, pp. 649-661 | DOI

[31] Mooney, H. A.; Hobbs, R. J. Invasive Species in a Changing World, Island Press, Washington D.C., USA, 2001

[32] Mouquet, N.; Lagadeuc, Y.; Devictor, V.; Doyen, L.; Duputié, A.; Eveillard, D.; Faure, D.; Garnier, E.; Gimenez, O.; Huneman, P.; Jabot, F.; Jarne, P.; Joly, D.; Julliard, R.; Kéfi, S.; Kergoat, G. J.; Lavorel, S.; Le Gall, L.; Meslin, L.; Morand, S.; Morin, X.; Morlon, H.; Pinay, G.; Pradel, R.; Schurr, F. M.; Thuiller, W.; Loreau, M. Predictive ecology in a changing world, Journal of Applied Ecology, Volume 52 (2015) no. 5, pp. 1293-1310 | DOI

[33] Oke, P. R.; Griffin, D. A.; Schiller, A.; Matear, R. J.; Fiedler, R.; Mansbridge, J.; Lenton, A.; Cahill, M.; Chamberlain, M. A.; Ridgway, K. Evaluation of a near-global eddy-resolving ocean model, Geoscientific Model Development, Volume 6 (2013) no. 3, pp. 591-615 | DOI

[34] Pernthaler, J. Predation on prokaryotes in the water column and its ecological implications, Nature Reviews Microbiology, Volume 3 (2005) no. 7, pp. 537-546 | DOI

[35] Petersen, M. E.; Maar, M.; Larsen, J.; Møller, E. F.; Hansen, P. J. Trophic cascades of bottom-up and top-down forcing on nutrients and plankton in the Kattegat, evaluated by modelling, Journal of Marine Systems, Volume 169 (2017), pp. 25-39 | DOI

[36] Pommereau, F. Algebras of coloured Petri nets, Lambert Academic Publishing , 2010

[37] Pommereau, F.; Thomas, C.; Gaucherel, C. Petri Nets Semantics of Reaction Rules (RR), Application and Theory of Petri Nets and Concurrency, Springer International Publishing, Cham, 2022, pp. 175-194 | DOI

[38] Raoul, F. A new approach to describe qualitative changes of complex trophic networks, Peer Community in Ecology (2024) | DOI

[39] Reisig, W. Understanding Petri Nets, Springer Berlin Heidelberg, Berlin, Heidelberg, 2013 | DOI

[40] Saint-Béat, B.; Maps, F.; Babin, M. Unraveling the intricate dynamics of planktonic Arctic marine food webs. A sensitivity analysis of a well-documented food web model, Progress in Oceanography, Volume 160 (2018), pp. 167-185 | DOI

[41] Šimek, K.; Kasalický, V.; Jezbera, J.; Horňák, K.; Nedoma, J.; Hahn, M. W.; Bass, D.; Jost, S.; Boenigk, J. Differential freshwater flagellate community response to bacterial food quality with a focus on Limnohabitans bacteria, The ISME Journal, Volume 7 (2013) no. 8, pp. 1519-1530 | DOI

[42] Steele, J. H. Plant production in the northern North Sea, Scottish Home Dept. Marine Res. , Volume 7 (1958), pp. 1-36

[43] Steele, J. H. The Structure of Marine Ecosystems, Harvard University Press, 1974 | DOI

[44] Thomas, R.; Kaufman, M. Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits, Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 11 (2001) no. 1, pp. 180-195 | DOI

[45] Thébault, E.; Fontaine, C. Stability of Ecological Communities and the Architecture of Mutualistic and Trophic Networks, Science, Volume 329 (2010) no. 5993, pp. 853-856 | DOI

[46] Tortajada, S.; David, V.; Brahmia, A.; Dupuy, C.; Laniesse, T.; Parinet, B.; Pouget, F.; Rousseau, F.; Simon-Bouhet, B.; Robin, F.-X. Variability of fresh- and salt-water marshes characteristics on the west coast of France: A spatio-temporal assessment, Water Research, Volume 45 (2011) no. 14, pp. 4152-4168 | DOI

[47] Turner, E. L.; Bruesewitz, D. A.; Mooney, R. F.; Montagna, P. A.; McClelland, J. W.; Sadovski, A.; Buskey, E. J. Comparing performance of five nutrient phytoplankton zooplankton (NPZ) models in coastal lagoons, Ecological Modelling, Volume 277 (2014), pp. 13-26 | DOI

[48] Vernet, M.; Richardson, T. L.; Metfies, K.; Nöthig, E.-M.; Peeken, I. Models of Plankton Community Changes during a Warm Water Anomaly in Arctic Waters Show Altered Trophic Pathways with Minimal Changes in Carbon Export, Frontiers in Marine Science, Volume 4 (2017) | DOI

[49] Vézina, A.; Piatt, T. Food web dynamics in the ocean. I. Best-estimates of flow networks using inverse methods, Marine Ecology Progress Series, Volume 42 (1988), pp. 269-287 | DOI

[50] Villaescusa, J. A.; Jørgensen, S. E.; Rochera, C.; Velázquez, D.; Quesada, A.; Camacho, A. Carbon dynamics modelization and biological community sensitivity to temperature in an oligotrophic freshwater Antarctic lake, Ecological Modelling, Volume 319 (2016), pp. 21-30 | DOI

[51] Wallach, A. D.; Dekker, A. H.; Lurgi, M.; Montoya, J. M.; Fordham, D. A.; Ritchie, E. G. Trophic cascades in 3D: network analysis reveals how apex predators structure ecosystems, Methods in Ecology and Evolution, Volume 8 (2016) no. 1, pp. 135-142 | DOI

[52] Warren, P. H.; Law, R.; Weatherby, A. J. Invasion biology as a community process: messages from microbial microcosm In: M. W. Cadotte, S. M. McMahon, and T. Fukami, editors. Conceptual ecology and invasions biology, Springer (2005)

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