An analysis of spatial percolation structures using a network approach

In this thesis we analyse several spatial structures, built from percolation models, by means of an approach used so far in the field of network science. In the first chapter we summarize the major network concepts and characterizations that have been obtained as regards the statistical properties of several data sets or theoretical models, We also give a brief introduction to percolation theory and its applications, adding details in two particular cases where mathematical results are available. In the second chapter we then study one particular application of percolation theory to the modelling of distribution and species abundance at different seales. We mainly focus on the way percolation theory was used to compare two diffcrcnt spatial patterns, particularly the random and the aggrergated distribution.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2006

Author dc:creator

• Fadul, Mohammed Altaj Mohammed

Advisors dc:contributor.advisor

• Witten, G
• Perrier, E

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/4883

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/4883