Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cellular Automata Model for Proteomics and Its Application in Cancer Immunotherapy Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Coexistence in Three-Species Cyclic Competition: Lattice-Based Versus Lattice-Free Individual-Based Models

Authors : Aisling J. Daly, Ward Quaghebeur, Tim Depraetere, Jan M. Baetens, Bernard De Baets

Published in: Cellular Automata

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Individual-based modelling is an increasingly popular framework for modelling biological systems. Many of these models represent space as a lattice, imposing unrealistic limitations on the movement of the modelled individuals. We adapt existing models of three competing species by using a lattice-free approach, thereby improving the realism of the spatial dynamics. We retrieve the same qualitative dynamics as the lattice-based approach. However, by facilitating a higher spatial heterogeneity and allowing for small spatial refuges to form and persist, the maintenance of coexistence is promoted. This corresponds well with experimental results.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Motion Detection and Characterization in Videos with Cellular Automata
next chapter Towards Self-organizing Sensor Networks: Game-Theoretic -Learning Automata-Based Approach
Literature
1.
Adamson, M.W., Morozov, A.Y.: Revising the role of species mobility in maintaining biodiversity in communities with cyclic competition. Bull. Math. Biol. 74(9), 2004–2031 (2012)MathSciNetCrossRef
2.
Arsenault, D.J., Himmelman, J.H.: Size-related changes in vulnerability to predators and spatial refuge use by juvenile Iceland scallops Chlamys islandica. Mar. Ecol. Prog. Ser. 140(1–3), 115–122 (1996)CrossRef
3.
Ashby, M.N., Rine, J., Mongodin, E.F., Nelson, K.E., Dimster-Denk, D.: Serial analysis of rRNA genes and the unexpected dominance of rare members of microbial communities. Appl. Environ. Microbiol. 73(14), 4532–4542 (2007)CrossRef
4.
Auchincloss, A.H., Riolo, R.L., Brown, D.G., Cook, J., Diez Roux, A.V.: An agent-based model of income inequalities in diet in the context of residential segregation. Am. J. Prev. Med. 40(3), 303–311 (2011)CrossRef
5.
Avelino, P.P., Bazeia, D., Losano, L., Menezes, J., de Oliveira, B.F.: Spiral patterns and biodiversity in lattice-free Lotka-Volterra models, pp. 1–5. arXiv preprint arXiv 1710 (2017)
6.
Beppu, K., Izri, Z., Gohya, J., Eto, K., Ichikawa, M., Maeda, Y.T.: Geometry-driven collective ordering of bacterial vortices. Soft Matter 13(29), 5038–5043 (2017)CrossRef
7.
Bernard, E.P., Krauth, W.: Two-step melting in two dimensions: first-order liquid-hexatic transition. Phys. Rev. Lett. 107(15), 155704 (2011)CrossRef
8.
Buss, L.W.: Competitive networks: nontransitive competitive relationships in cryptic coral reef environments. Am. Nat. 113(2), 223–234 (1979)CrossRef
9.
Chang, H.C., Wang, L.C.: A simple proof of Thue’s theorem on circle packing, pp. 1–4. arXiv preprint arXiv 1708 (2010)
10.
Finke, D.L., Denno, R.F.: Spatial refuge from intraguild predation: implications for prey suppression and trophic cascades. Oecologia 149(2), 265–275 (2006)CrossRef
11.
Ginovart, M.: INDISIM, an individual-based discrete simulation model to study bacterial cultures. J. Theor. Biol. 214(2), 305–319 (2002)CrossRef
12.
Gonnella, G., Lamura, A., Suma, A.: Phase segregation in a system of active dumbbells. Int. J. Mod. Phys. C 25(12), 1441004 (2014)CrossRef
13.
Grimm, V., Berger, U., DeAngelis, D.L., Polhill, J.G., Giske, J., Railsback, S.F.: The ODD protocol: a review and first update. Ecol. Model. 221(23), 2760–2768 (2010)CrossRef
14.
Hurlbert, S.H.: The measurement of niche overlap and some relatives. Ecology 59(1), 67–77 (1978)CrossRef
15.
Kerr, B., Riley, M.A., Feldman, M.W., Bohannan, B.J.M.: Local dispersal promotes biodiversity in a real-life game of rock-paper-scissors. Nature 418(6894), 171–174 (2002)CrossRef
16.
Kirkup, B.C., Riley, M.A.: Antibiotic-mediated antagonism leads to a bacterial game of rock-paper-scissors in vivo. Nature 428(6981), 412–414 (2004)CrossRef
17.
Kreft, J.U., Booth, G., Wimpenny, J.W.T.: BacSim, a simulator for individual-based modelling of bacterial colony growth. Microbiology 144(12), 3275–3287 (1998)CrossRef
18.
Kreft, J.U., Picioreanu, C., Wimpenny, J.W.T., van Loosdrecht, M.C.M.: Individual-based modelling of biofilms. Microbiology 147(Pt 11), 2897–2912 (2001)CrossRef
19.
Laird, R.A., Schamp, B.S.: Does local competition increase the coexistence of species in intransitive networks? Ecology 89(1), 237–247 (2008)CrossRef
20.
Laird, R.A., Schamp, B.S.: Species coexistence, intransitivity, and topological variation in competitive tournaments. J. Theor. Biol. 256(1), 90–95 (2009)MathSciNetCrossRef
21.
Landau, L., Lifshitz, E.: EM Lifshitz Theory of Elasticity, 3rd edn. Pergamon Press, Oxford (1986)
22.
23.
Luisa, M., et al.: Mitigation measures for pandemic influenza in Italy: an individual-based model considering different scenarios. PLOS One 3(3), e1790 (2008)CrossRef
24.
Mattson, W., Rice, B.M.: Near-neighbor calculations using a modified cell-linked list method. Comput. Phys. Commun. 119(2), 135–148 (1999)CrossRef
25.
May, R.M., Leonard, W.J.: Nonlinear aspects of competition between three species. Soc. Ind. Appl. Math. 29(2), 243–253 (1975)MathSciNetCrossRef
26.
27.
Osborne, J.M., Fletcher, A.G., Pitt-Francis, J.M., Maini, P.K., Gavaghan, D.J.: Comparing individual-based approaches to modelling the self-organization of multicellular tissues. PLOS Comput. Biol. 13(2), 1–34 (2017)CrossRef
28.
Railsback, S.F., Grimm, V.: Agent-Based and Individual-Based Modeling: A Practical Introduction. Princeton University Press, Princeton (2011)MATH
29.
Railsback, S.F., Lytinen, S.L., Jackson, S.K.: Agent-based simulation platforms: review and development recommendations. Simulation 82(9), 609–623 (2006)CrossRef
30.
Reichenbach, T., Mobilia, M., Frey, E.: Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games. Nature 448(7157), 1046–1049 (2007)CrossRef
31.
Schelling, T.C.: Dynamic models of segregation. J. Math. Sociol. 1(2), 143–186 (1969)CrossRef
32.
Taylor, D.R., Aarssen, L.W.: Complex competitive relationships among genotypes of three perennial grasses: implications for species coexistence. Am. Nat. 136(3), 305–327 (1990)CrossRef
33.
Touhami, A., Nysten, B., Dufrêne, Y.: Nanoscale mapping of the elasticity of microbial cells by atomic force microscopy. Microbiology 19(11), 4539–4543 (2003)
34.
Verlet, L.: Computer “experiments” on classical fluids. Phys. Rev. 159(1), 98–103 (1967)CrossRef
35.
Vukov, J., Szolnoki, A., Szabó, G.: Diverging fluctuations in a spatial five-species cyclic dominance game. Phys. Rev. E - Statist. Nonlinear Soft Matter Phys. 88(2), 1–8 (2013)CrossRef
36.
Wilsey, B.J.: Realistically low species evenness does not alter grassland species-richness - productivity relationships. Ecology 85(10), 2693–2700 (2004)CrossRef
Metadata
Title
Coexistence in Three-Species Cyclic Competition: Lattice-Based Versus Lattice-Free Individual-Based Models
Authors
Aisling J. Daly
Ward Quaghebeur
Tim Depraetere
Jan M. Baetens
Bernard De Baets
Copyright Year
2018
Book
Cellular Automata

Print ISBN: 978-3-319-99812-1

Electronic ISBN: 978-3-319-99813-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-99813-8_10

Premium Partner

    Image Credits