Simulation Models for Grassland Ecosystem and Inter-species Plant Competition: Interation in NetLogo

Ngoc Bich Dao, Arnaud Revel, Michel Menard, Abdallah El Hamidi

Abstract

In this article, we have first implemented El Hamidi, Garbey and Ali’s nonlinear diffusion model of the competition of plants on the Netlogo platform. In parallel with this partial differential equation (PDE) model, an agent based diffusion model has been implemented to compare the structures of the two approaches. The multi-agent system (MAS) models how each individual grows up (West et al., 2001) and is spatially diffused thanks to reproduction. Furthermore, El Hamidi’s nonlinear diffusion model has been extended to the case of n species in a system of inter-species plant competition. We have also studied how the inter/intraspecific competition parameters impact the space distribution by computing the surface ratios between species. Besides, terms representing resources have been added to measure the effects of environmental parameters. Finally, we propose a comparison between PDE and MAS approaches by identifying parameters of both models that correspond to each other.

References

  1. West, G. B., Brown, J. H., Enquist, B. J.: A general model for ontogenetic growth. Nature 413 (2001) 628-31
  2. Bradley, L., Kilby, M., Call, R. E., Kopec, D., Capizzi, J., Langston, D., Claridge, J. D., Maloy, O., DeGomez, T., Mikel, T., Doerge, T., Oebker, N., Green, J., Tipton, J., Gibson, R., Wilcox, M., Gibson, R., Young, D., Grumbles, R.: Environmental factors that affect plant growth. In: Arizona Master Gardener Manual. Arizona Cooperative Extension, College of Agriculture, The University of Arizona, Arizona (1998) 30-33
  3. El Hamidi, A., Garbey, M., Ali, N.: On nonlinear coupled diffusions in competition systems. Nonlinear Analysis: Real World Applications 13 (2011) 1306-1318
  4. Cosner, C., Lazer, A. C.: Stable Coexistence States in the Volterra-Lotka Competition Model with Diffusion. SIAM 44 (1984) 1112-1132
  5. Hsu, S.b., Waltman, P.: On a System of Reaction-Diffusion Equations Arising From Competition in an Unstirred Chemostat. SIAM 53 (1993) 1026-1044
  6. Karami, F.: Limite singulière de quelques problèmes de Réaction Diffusion : Analyse mathématique et numérique. PhD thesis, Picardie Jules Verne (2007)
  7. Grueters, U.: Neture - a NetLogo model that simulates how Nature works. (2011)
  8. Treuil, J. P., Drogoul, A., Zucker, J. D.: Modélisation et simulation à base d'agents: exemples commentes outils informatiques et questions théorique. (2008)
Download


Paper Citation


in Harvard Style

Dao N., Revel A., Menard M. and El Hamidi A. (2013). Simulation Models for Grassland Ecosystem and Inter-species Plant Competition: Interation in NetLogo . In Proceedings of GEODIFF 2013 - Volume 1: GEODIFF, (VISIGRAPP 2013) ISBN 978-989-8565-49-5, pages 20-28. DOI: 10.5220/0004347600200028


in Bibtex Style

@conference{geodiff13,
author={Ngoc Bich Dao and Arnaud Revel and Michel Menard and Abdallah El Hamidi},
title={Simulation Models for Grassland Ecosystem and Inter-species Plant Competition: Interation in NetLogo},
booktitle={Proceedings of GEODIFF 2013 - Volume 1: GEODIFF, (VISIGRAPP 2013)},
year={2013},
pages={20-28},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004347600200028},
isbn={978-989-8565-49-5},
}


in EndNote Style

TY - CONF
JO - Proceedings of GEODIFF 2013 - Volume 1: GEODIFF, (VISIGRAPP 2013)
TI - Simulation Models for Grassland Ecosystem and Inter-species Plant Competition: Interation in NetLogo
SN - 978-989-8565-49-5
AU - Dao N.
AU - Revel A.
AU - Menard M.
AU - El Hamidi A.
PY - 2013
SP - 20
EP - 28
DO - 10.5220/0004347600200028