Abstract
Some basic principles to enlarge simple ecological models and the role of nonlinearities are discussed. The inclusion of internal groups and the new dynamic possibilities associated with this procedure are considered in the context of the logistic model. According to our results, processes like the success or extinction of a particular group without affecting the global population are not necessarily linked to the impact of environmental changes or the supremacy of a determined group or subspecies. In our case, the uniformity, the success or extinction of a particular group into a global population may be seen as the possibility to achieve or not a typical symmetry-breaking process. Such possibilities arise associated with the degree of nonlinearity contributions and the specificities of the interaction network in the model. Other elements linked with the ecological interaction, the role of symmetries and the phenomenological nature of ecological modelling are also discussed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Schmolke A et al (2010) Ecological models supporting environmental decision making: a strategy for the future. Trends Ecol Evol 25(8):479–486
Grimm V et al (2014) Towards better modelling and decision support: documenting model development, testing, and analysis using TRACE. Ecol Model 280:129–139
Elith J, Leathwick JR (2009) Species distribution models: ecological explanation and prediction across space and time. Annu Rev Ecol Evol Syst 40(1):677–697
Pearson RG, Dawson TP (2003) Predicting the impacts of climate change on the distribution of species: are bioclimate envelope models useful? Glob Ecol Biogeogr 12(5):361–371
Kreuzer M, Tribsch A, Nyffeler R (2014) Ecological and genetic differentiation of two subspecies of Saussurea alpina in the Western Alps. Alp Bot 124(1):49–58
Gleiser M, Thorarinson J (2006) Prebiotic homochirality as a critical phenomenon. Orig Life Evol Biosph 36(5):501–505
Li R, Bowerman B (2010) Symmetry breaking in biology. Cold Spring Harb Perspect Biol 2(3):a003475
Borile C et al (2012) Spontaneously broken neutral symmetry in an ecological system. Phys Rev Lett 109(3):038102
Sayama H, Kaufman L, Bar-Yam Y (2000) Symmetry breaking and coarsening in spatially distributed evolutionary processes including sexual reproduction and disruptive selection. Phys Rev E 62(5):7065–7069
Price RIA et al (2016) Symmetry breaking in mass-recruiting ants: extent of foraging biases depends on resource quality. Behav Ecol Sociobiol 70(11):1813–1820
Djouadi A (2008) The anatomy of electroweak symmetry breaking: Tome I: The Higgs boson in the Standard Model. Phys Rep 457(1–4):1–216
Gabrielli E et al (2014) Towards completing the standard model: vacuum stability, electroweak symmetry breaking, and dark matter. Phys Rev D 89(1):015017
Kratina P et al (2009) Functional responses modified by predator density. Oecologia 159(2):425–433
Morozov AY (2010) Emergence of Holling type III zooplankton functional response: bringing together field evidence and mathematical modelling. J Theor Biol 265(1):45–54
Millstein RL (2009) Populations as individuals. Biol Theory 4(3):267–273
Patten MA (2015) Subspecies and the philosophy of science. Auk 132(2):481–485
Stein BA et al (2013) Preparing for and managing change: climate adaptation for biodiversity and ecosystems. Front Ecol Environ 11(9):502–510
Longo G, Montévil M (2011) From physics to biology by extending criticality and symmetry breakings. Prog Biophys Mol Biol 106(2):340–347
Goryachev AB, Leda M (2017) Many roads to symmetry breaking: molecular mechanisms and theoretical models of yeast cell polarity. Mol Biol Cell 28(3):370–380
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Martin, O., Perez-Diaz, N., Cárdenas, R., Horvath, J.E. (2019). Enlarging Simple Ecological Models: Subspecies, Hidden Symmetries and Their Implications. In: Cárdenas, R., Mochalov, V., Parra, O., Martin, O. (eds) Proceedings of the 2nd International Conference on BioGeoSciences. BG 2017. Springer, Cham. https://doi.org/10.1007/978-3-030-04233-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-030-04233-2_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-04232-5
Online ISBN: 978-3-030-04233-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)