Abstract
Quantitative methods to analyze spatial patterns of landscapes are an important area of research in landscape ecology. Nonhomogeneous Markov models can be used to represent landscape dynamics; however, methods to analyze the stability of these models are needed. A method for determining the stability is developed in this paper, and its application to a model of vegetation dynamics in southern Texas savanna is also given. Using Lyapunov stability theory, the theorem that the family of these transition matrices will be stable if the symmetric matrices associated with the vertex matrices have matrix measures less than two has been proved. The results of the stability analysis accord well with current understanding of vegetation dynamics in the southern Texas landscape.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
