Abstract
Watson and Lovelock’s daisyworld model [1] was devised to demonstrate how the biota of a world could stabilise it, driving it to a temperature regime that favoured survival of the biota. The subsequent studies have focused on the behaviour of daisyworld in various fields. This study looks at the emergent patterns that arise in 2D daisyworlds at different parameter settings, demonstrating that a wide range of patterns can be observed. Selecting from an immense range of tested parameter settings, we present the emergence of complex patterns, Turing-like structures, cyclic patterns, random patterns and uniform dispersed patterns, corresponding to different kinds of possible worlds. The emergence of such complex behaviours from a simple, abstract model serve to illuminate the complex mosaic of patterns that we observe in real-world biosystems.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Download to read the full chapter text
Chapter PDF
References
Watson, A.J., Lovelock, J.E.: Biological homeostasis of the global environment: The parable of daisyworld. Tellus B 35(4), 284–289 (1983)
Camazine, S., Deneubourg, J.-L., Franks, N.R., Sneyd, J., Theraula, G., Bonabeau, E.: Self-organization in biological systems, 2nd edn. Princeton University Press (2003)
Turing, A.M.: The chemical basis of morphogenesis. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences 237(641), 37–72 (1952)
Belousov, B.P.: A periodic reaction and its mechanism. Sbornik Referatov po Radiatsonno Meditsine (Medgiz, Moscow), 145–147 (1958) (in Russian)
Bénard, H.: Les tourbillons cellulaires dans une nappe liquide. Revue générale des Sciences pures et appliquées 11, 1261–1271 and 1309–1328 (1900)
Murray, J.D.: Mathematical Biology II: Spatial models and biomedical applications, 3rd edn., vol. 2. Springer, Heidelberg (2008)
von Bloh, W., Block, A., Schellnhuber, H.J.: Self-stabilization of the biosphere under global change: A tutorial geophysiological approach. Tellus B 49(3), 249–262 (1997)
Ackland, G.J., Clark, M.A., Lenton, T.M.: Catastrophic desert formation in daisyworld. Journal of Theoretical Biology 223(1), 39–44 (2003)
Adams, B., Carr, J., Lenton, T.M., White, A.: One-dimensional daisyworld: Spatial interactions and pattern formation. Journal of Theoretical Biology 223(4), 505–513 (2003)
Ackland, G.J., Wood, A.J.: Emergent patterns in space and time from daisyworld: a simple evolving coupled biosphere-climate model. Philosophical Transactions of the Royal Society A 13: Mathematical, Physical and Engineering Sciences 368(1910), 161–179 (2010)
Moran, P.A.P.: Notes on continuous stochastic phenomena. Biometrika 37(1/2), 17–23 (1950)
Kump, L.R., Kasting, J.F., Crane, R.G.: The Earth System, 3rd edn. Prentice Hall (2010)
Nakao, H., Mikhailov, A.S.: Turing patterns in network-organized activator-inhibitor systems. Nature Physics 6(7), 544–550 (2010)
May, R.M.: Simple mathematical models with very complicated dynamics. Nature 261(5560), 459–467 (1976)
McGuffie, K., Henderson-Sellers, A.: A Climate Modelling Primer, 3rd edn. Wiley, Chichester (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 IFIP International Federation for Information Processing
About this paper
Cite this paper
Punithan, D., McKay, R.I.(. (2012). Self-Organizing Spatio-temporal Pattern Formation in Two-Dimensional Daisyworld. In: Kuipers, F.A., Heegaard, P.E. (eds) Self-Organizing Systems. IWSOS 2012. Lecture Notes in Computer Science, vol 7166. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28583-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-28583-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28582-0
Online ISBN: 978-3-642-28583-7
eBook Packages: Computer ScienceComputer Science (R0)