UMI  
ProQuest® Dissertations & Theses
The world's most comprehensive collection of dissertations and theses. Learn more...
ProQuest  
 
 
A mathematical model of plant competition for sunlight
by Nevai, Andrew L., PhD, UNIVERSITY OF CALIFORNIA, LOS ANGELES, 2005, 0 pages; 3209475
 

Abstract: Can a difference in the heights at which plants place their leaves, a pattern we call canopy partitioning, make it possible for two competing plant species to coexist? To find out, we examine a model that relates the dynamical behavior and competitive abilities of plant populations to the structural and functional features of the plants that form them. We begin by formulating a single species version of this model from biological first principles and show how all plant properties work together to determine population persistence and equilibrium abundance. Then we present this formulation's straightforward extension to two competing species that interact only by their shared use of sunlight. This two-species model is described by a Kolmogorov system of integro-differential equations in which the specific growth rate function of each species is a functional of the vertical leaf profiles of both species. This model allows us to consider the role of canopy partitioning in determining the outcome of competition between two plant species that compete only for sunlight. We use implicit methods to show that, under certain conditions, the species' nullclines can intersect at most once, and that when they do intersect, coexistence is always stable. We also construct surfaces that divide parameter space into regions in which each of the various outcomes of competition occurs, and then study parameter dependence in the locations of these surfaces. We then determine the outcome of competition between two plant species that differ only in their vertical leaf profiles. This analysis shows that canopy partitioning is both necessary and sufficient for the stable coexistence of two hypothetical plant species that are described by our model.

 
Advisor: Roberts, Paul H.
School: UNIVERSITY OF CALIFORNIA, LOS ANGELES
Source: DAI-B 67/03, p. 1474, Sep 2006
Source Type: PhD
Subjects: Mathematics; Ecology; Botany
Publication Number: 3209475
     
Adobe PDF Access the complete dissertation:
 

» Find an electronic copy at your library.
  Use the link below to access a full citation record of this graduate work:
  http://gateway.proquest.com/openurl%3furl_ver=Z39.88-2004%26res_dat=xri:pqdiss%26rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation%26rft_dat=xri:pqdiss:3209475
  If your library subscribes to the ProQuest Dissertations & Theses (PQDT) database, you may be entitled to a free electronic version of this graduate work. If not, you will have the option to purchase one, and access a 24 page preview for free (if available).

 
 
 

About ProQuest Dissertations & Theses
With over 2.3 million records, the ProQuest Dissertations & Theses (PQDT) database is the most comprehensive collection of dissertations and theses in the world. It is the database of record for graduate research.

The database includes citations of graduate works ranging from the first U.S. dissertation, accepted in 1861, to those accepted as recently as last semester. Of the 2.3 million graduate works included in the database, ProQuest offers more than 1.9 million in full text formats. Of those, over 860,000 are available in PDF format. More than 60,000 dissertations and theses are added to the database each year.

If you have questions, please feel free to visit the ProQuest Web site - http://www.il.proquest.com - or call ProQuest Hotline Customer Support at 1-800-521-3042.



Copyright © 2007 ProQuest. All rights reserved. Terms and Conditions

ProQuest