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Probabilistic modelling of the evolution of ecological interaction networks

Thesis (MSc)--Stellenbosch University, 2011.

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Bibliographic Details
Main Author: Minoarivelo, Henintsoa Onivola
Other Authors: Sheffler, Konrad
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2011
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access_status_str Open Access
author Minoarivelo, Henintsoa Onivola
author2 Sheffler, Konrad
author_browse Minoarivelo, Henintsoa Onivola
Sheffler, Konrad
author_facet Sheffler, Konrad
Minoarivelo, Henintsoa Onivola
author_sort Minoarivelo, Henintsoa Onivola
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MSc)--Stellenbosch University, 2011.
format Thesis
id oai:scholar.sun.ac.za:10019.1/17990
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:45:11.659Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2011
publishDateRange 2011
publishDateSort 2011
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/17990 Probabilistic modelling of the evolution of ecological interaction networks Minoarivelo, Henintsoa Onivola Sheffler, Konrad Hui, Cang Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Ecological interaction Evolution Probabilistic models Markov process Dissertations -- Mathematics Theses -- Mathematics Dissertations -- Computer science Theses -- Computer science Thesis (MSc)--Stellenbosch University, 2011. ENGLISH ABSTRACT: In any ecological system, organisms need to interact with each other for their survival. Such interactions form ecological networks which are usually very complex. Nevertheless, they exhibit well de ned patterns; these regularities are often interpreted as products of meaningful ecological processes. As the networks are evolving through time, biological evolution is one of the factors that affects ecological network architecture. In this work, we develop a mathematical model that represents the evolution through time of such ecological interaction networks. The problem is approached by modelling network evolution as a continuous time Markov process, in such a way that the interactions in which a parent species is involved are potentially inherited by its descendant species. This approach allows us to infer ecological parameters and ecological network histories from real-world network data, as well as to simulate ecological networks under our model. While ecologists have long been aware of the in uence of evolutionary processes in shaping ecological networks, we are now able to evaluate the importance of such in uence. AFRIKAANSE OPSOMMING: In enige ekologiese stelsel benodig organismes wisselwerkings met mekaar ten einde te oorleef. Sulke interaksies vorm ekologiese netwerke wat gewoonlik baie kompleks is maar nogtans goed-gede nieerde patrone vertoon. Hierdie patrone word dikwels geïnterpreteer as die produk van betekenisvolle ekologiese prosesse. Aangesien die netwerke met die verloop van tyd ontwikkel, is biologiese ewolusie een van die faktore wat ekologiese netwerkargitektuur beïnvloed. In hierdie studie ontwikkel ons 'n wiskundige model wat die ewolusie van sulke ekologiese interaksienetwerke voorstel. Die probleem word benader deur netwerkewolusie as 'n kontinue-tyd Markov-proses te modelleer, op so 'n manier dat die interaksies waarin 'n voorouerspesie betrokke is potensieel oorerf kan word deur die afstammelingspesies. Hierdie benadering laat ons toe om ekologiese parameters en ekologiese netwerkgeskiedenisse vanuit regte-wêreld data af te lei, sowel as om ekologiese netwerke onder ons model te simuleer. Alhoewel ekoloë al lank reeds bewus is van die invloed wat ewolusionêre prosesse het op die vorming van ekologiese netwerke, is ons nou in staat om die belangrikheid van hierdie invloed te evalueer. 2011-11-17T17:31:55Z 2011-12-05T13:17:59Z 2011-11-17T17:31:55Z 2011-12-05T13:17:59Z 2011-12 Thesis http://hdl.handle.net/10019.1/17990 en_ZA Stellenbosch University 82 p. application/pdf Stellenbosch : Stellenbosch University
spellingShingle Ecological interaction
Evolution
Probabilistic models
Markov process
Dissertations -- Mathematics
Theses -- Mathematics
Dissertations -- Computer science
Theses -- Computer science
Minoarivelo, Henintsoa Onivola
Probabilistic modelling of the evolution of ecological interaction networks
title Probabilistic modelling of the evolution of ecological interaction networks
title_full Probabilistic modelling of the evolution of ecological interaction networks
title_fullStr Probabilistic modelling of the evolution of ecological interaction networks
title_full_unstemmed Probabilistic modelling of the evolution of ecological interaction networks
title_short Probabilistic modelling of the evolution of ecological interaction networks
title_sort probabilistic modelling of the evolution of ecological interaction networks
topic Ecological interaction
Evolution
Probabilistic models
Markov process
Dissertations -- Mathematics
Theses -- Mathematics
Dissertations -- Computer science
Theses -- Computer science
url http://hdl.handle.net/10019.1/17990
work_keys_str_mv AT minoarivelohenintsoaonivola probabilisticmodellingoftheevolutionofecologicalinteractionnetworks