Segregation Patterns of Trees and Grass Based on a Modified Age-Structured Continuous-Space Forest Model

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and Grass Based on a Modified Age-Structured Continuous-Space Forest Model</title> <meta name="description" content="Segregation Patterns of Trees and Grass Based on a Modified Age-Structured Continuous-Space Forest Model"> <meta name="keywords" content="population-structured models, stabilities of ecosystems, thermal competitions, tree-grass coexistence systems"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a 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87407</div> </div> </div> </div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Segregation Patterns of Trees and Grass Based on a Modified Age-Structured Continuous-Space Forest Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jian%20Yang">Jian Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Atsushi%20Yagi"> Atsushi Yagi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Tree-grass coexistence system is of great importance for forest ecology. Mathematical models are being proposed to study the dynamics of tree-grass coexistence and the stability of the systems. However, few of the models concentrates on spatial dynamics of the tree-grass coexistence. In this study, we modified an age-structured continuous-space population model for forests, obtaining an age-structured continuous-space population model for the tree-grass competition model. In the model, for thermal competitions, adult trees can out-compete grass, and grass can out-compete seedlings. We mathematically studied the model to make sure tree-grass coexistence solutions exist. Numerical experiments demonstrated that a fraction of area that trees or grass occupies can affect whether the coexistence is stable or not. We also tried regulating the mortality of adult trees with other parameters and the fraction of area trees and grass occupies were fixed; results show that the mortality of adult trees is also a factor affecting the stability of the tree-grass coexistence in this model. <iframe src="https://publications.waset.org/abstracts/102872.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=population-structured%20models" title="population-structured models">population-structured models</a>, <a href="https://publications.waset.org/abstracts/search?q=stabilities%20of%20ecosystems" title=" stabilities of ecosystems"> stabilities of ecosystems</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20competitions" title=" thermal competitions"> thermal competitions</a>, <a href="https://publications.waset.org/abstracts/search?q=tree-grass%20coexistence%20systems" title=" tree-grass coexistence systems"> tree-grass coexistence systems</a> </p> <a href="https://publications.waset.org/abstracts/102872/segregation-patterns-of-trees-and-grass-based-on-a-modified-age-structured-continuous-space-forest-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/102872.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">160</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" 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Segregation Patterns of Trees and Grass Based on a Modified Age-Structured Continuous-Space Forest Model