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Complex life cycle and biphasic range expansion in plants.

Thesis (MSc)--Stellenbosch University, 2021.

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Main Author: Robertson, Tremaine
Other Authors: Hui, Cang
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2020
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access_status_str Open Access
author Robertson, Tremaine
author2 Hui, Cang
author_browse Hui, Cang
Robertson, Tremaine
author_facet Hui, Cang
Robertson, Tremaine
author_sort Robertson, Tremaine
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MSc)--Stellenbosch University, 2021.
format Thesis
id oai:scholar.sun.ac.za:10019.1/108350
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:46:33.531Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2020
publishDateRange 2020
publishDateSort 2020
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/108350 Complex life cycle and biphasic range expansion in plants. Robertson, Tremaine Hui, Cang Rodger, James Latombe, Guillaume Landi, Pietro Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Biphasic range expansion Life cycles (Biology) Pollen -- Dispersal -- Mathematical models Introduced organisms -- Spread -- Mathematical models UCTD Thesis (MSc)--Stellenbosch University, 2021. ENGLISH ABSTRACT: The rate of the spread of populations into new habitat has been extensively studied. In particular, the long-term spread rate of plant populations has been analytically formulated in terms of the travelling wave solution. However, plants often display a biphasic range expansion, where a long-term fast spread phase is preceded by a slower spread phase. This has been explained by fattailed dispersal kernels, habitat transition or stratified diffusion. Nonetheless, since pollen production and dispersal are integral parts of the plant life cycle, they might play a role in the spread patterns of plants. For these reasons, I included pollen production and dispersal, in addition to seed production and dispersal, in an integrodifference equation (IDE model of plant spread in continuous space and discrete-time. The numerical results showed that biphasic range expansions are produced by considering the complex life cycle of plants. Furthermore, I observed that seed dispersal increased both the slow and fast phases of the biphasic range expansion. Pollen dispersal had constrained the velocity of the slow phase, but drove the velocity of the fast phase. However, when pollen dispersal is much higher than seed dispersal, a boom-and-bust phenomenon is observed, indicating that the velocity of spread decreases and the population declines and eventually goes extinct as few plants are located at far distances to be pollinated. These results shed new light on the importance of different life stages and dispersal events in driving biphasic range expansions of plant populations. AFRIKAANSE OPSOMMMING: Die tempo van die verspreiding van bevolkings na 'n nuwe habitat is breedvoerig bestudeer. In die besonder is die langtermynverspreidingsyfer van plantpopulasies analities geformuleer in terme van die bewegende golfoplossing. Plante vertoon egter dikwels 'n tweefase-uitbreiding, waar 'n langtermynverspreidingsfase voorafgegaan word deur 'n stadiger verspreidingsfase. Dit word verklaar deur vetstert waarskynlikheidsverdelings, habitatoorgang of gestrati- seerde di usie. Aangesien stuifmeelproduksie en verspreiding integrale dele van die plantlewensiklus is, speel dit egter 'n rol in die verspreidingspatrone van plante. Om hierdie redes het ek stuifmeelproduksie en verspreiding, benewens saadproduksie en verspreiding, ook in 'n model met 'n integraaldi erensiaalvergelyking (IDV van plantverspreiding in kontinue ruimte en diskrete tyd ingesluit. Die numeriese resultate het getoon dat die uitbreiding van tweefasige omvang geproduseer word deur die ingewikkelde lewensiklus van plante. Verder het ek opgemerk dat verspreiding van saad 'n positiewe uitwerking op beide die stadige en vinnige fases van die uitbreiding van die bifasiese reeks het. Stuifmeelverspreiding het 'n negatiewe uitwerking op die snelheid van die stadige fase, maar 'n positiewe invloed op die snelheid van die vinnige fase. Wanneer die stuifmeelverspreiding egter veel hoer is as die verspreiding van saad, word 'n styg-en-daal verskynsel waargeneem, wat aandui dat die verspreidingsnelheid daal en die bevolking daal en uiteindelik uitsterf. Hierdie resultate werp nuwe lig op die belangrikheid van verskillende lewensfases en verspreidingsgebeurtenisse in die bevordering van die uitbreiding van plantegroei in tweefase. Masters 2020-02-06T08:27:11Z 2020-04-28T15:10:36Z 2020-02-06T08:27:11Z 2020-04-28T15:10:36Z 2020-03 Thesis http://hdl.handle.net/10019.1/108350 en_ZA Stellenbosch University viii, 44 pages application/pdf Stellenbosch : Stellenbosch University
spellingShingle Biphasic range expansion
Life cycles (Biology)
Pollen -- Dispersal -- Mathematical models
Introduced organisms -- Spread -- Mathematical models
UCTD
Robertson, Tremaine
Complex life cycle and biphasic range expansion in plants.
title Complex life cycle and biphasic range expansion in plants.
title_full Complex life cycle and biphasic range expansion in plants.
title_fullStr Complex life cycle and biphasic range expansion in plants.
title_full_unstemmed Complex life cycle and biphasic range expansion in plants.
title_short Complex life cycle and biphasic range expansion in plants.
title_sort complex life cycle and biphasic range expansion in plants
topic Biphasic range expansion
Life cycles (Biology)
Pollen -- Dispersal -- Mathematical models
Introduced organisms -- Spread -- Mathematical models
UCTD
url http://hdl.handle.net/10019.1/108350
work_keys_str_mv AT robertsontremaine complexlifecycleandbiphasicrangeexpansioninplants