Sustainability analysis of ecological systems in fire prone areas using the concept of Sustainability over Sets (SOS)

M. Jorat, V. Manousiouthakis
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Abstract

The dynamic coexistence of trees and grass is a vital component for a sustainable ecological system. This dynamical coexistence could be affected through continuous and alternate natural perturbations such as herbivore grazing, wildfires, droughts, and human activities. To fully understand the dynamics and sustainability of such ecological systems, first rigorous mathematical models need to be developed, capturing the systems' behavior, and subsequently, tools are created to analyze their sustainability. With this goal in mind, two concepts of Sustainability over Sets (SOS) and Sustainizability over Sets (SIZOS) have been recently introduced as sustainable system analysis and synthesis tools, respectively, with broad flexibility in incorporating human input. In this work, the SOS concept is first briefly introduced and afterward applied to a dynamical system consisting of tree grass components under different wildfire frequencies. The obtained results show that an increase in wildfire frequency will result in a system only consisting of grassland and thus the ecosystem is deemed unsustainable.
基于集上可持续性(SOS)概念的火灾易发地区生态系统可持续性分析
树木和草的动态共存是可持续生态系统的重要组成部分。这种动态共存可能受到连续和交替的自然扰动,如食草动物放牧、野火、干旱和人类活动的影响。为了充分了解这种生态系统的动态和可持续性,首先需要建立严格的数学模型,捕捉系统的行为,然后创建工具来分析其可持续性。考虑到这一目标,最近分别引入了集上可持续性(SOS)和集上可持续性(SIZOS)两个概念,作为可持续系统分析和综合工具,在纳入人力投入方面具有广泛的灵活性。在这项工作中,首先简要介绍了SOS概念,然后将其应用于不同野火频率下由树草成分组成的动力系统。研究结果表明,野火频率的增加将导致一个仅由草地组成的系统,从而认为生态系统是不可持续的。
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