@article{KefiBerlowWietersetal.2012,
  author    = {Kefi, Sonia and Berlow, Eric L. and Wieters, Evie A. and Navarrete, Sergio A. and Petchey, Owen L. and Wood, Spencer A. and Boit, Alice and Joppa, Lucas N. and Lafferty, Kevin D. and Williams, Richard J. and Martinez, Neo D. and Menge, Bruce A. and Blanchette, Carol A. and Iles, Alison C. and Brose, Ulrich},
  title     = {More than a meal ... integrating non-feeding interactions into food webs},
  series = {Ecology letters},
  volume    = {15},
  journal   = {Ecology letters},
  number    = {4},
  publisher = {Wiley-Blackwell},
  address   = {Hoboken},
  issn      = {1461-023X},
  doi       = {10.1111/j.1461-0248.2011.01732.x},
  pages     = {291 -- 300},
  year      = {2012},
  abstract  = {Organisms eating each other are only one of many types of well documented and important interactions among species. Other such types include habitat modification, predator interference and facilitation. However, ecological network research has been typically limited to either pure food webs or to networks of only a few (<3) interaction types. The great diversity of non-trophic interactions observed in nature has been poorly addressed by ecologists and largely excluded from network theory. Herein, we propose a conceptual framework that organises this diversity into three main functional classes defined by how they modify specific parameters in a dynamic food web model. This approach provides a path forward for incorporating non-trophic interactions in traditional food web models and offers a new perspective on tackling ecological complexity that should stimulate both theoretical and empirical approaches to understanding the patterns and dynamics of diverse species interactions in nature.},
  language  = {en}
}
@article{EmaryMalchow2022,
  author    = {Emary, Clive and Malchow, Anne-Kathleen},
  title     = {Stability-instability transition in tripartite merged ecological networks},
  series = {Journal of mathematical biology},
  volume    = {85},
  journal   = {Journal of mathematical biology},
  number    = {3},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {0303-6812},
  doi       = {10.1007/s00285-022-01783-7},
  pages     = {18},
  year      = {2022},
  abstract  = {Although ecological networks are typically constructed based on a single type of interaction, e.g. trophic interactions in a food web, a more complete picture of ecosystem composition and functioning arises from merging networks of multiple interaction types. In this work, we consider tripartite networks constructed by merging two bipartite networks, one mutualistic and one antagonistic. Taking the interactions within each sub-network to be distributed randomly, we consider the stability of the dynamics of the network based on the spectrum of its community matrix. In the asymptotic limit of a large number of species, we show that the spectrum undergoes an eigenvalue phase transition, which leads to an abrupt destabilisation of the network as the ratio of mutualists to antagonists is increased. We also derive results that show how this transition is manifest in networks of finite size, as well as when disorder is introduced in the segregation of the two interaction types. Our random-matrix results will serve as a baseline for understanding the behaviour of merged networks with more realistic structures and/or more detailed dynamics.},
  language  = {en}
}