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Reliability of migration between habitat patches with heterogeneous ecological corridors

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  • Rushdi, Ali Muhammad Ali
  • Hassan, Ahmad Kamal

Abstract

Natural and designed ecological corridors are key elements for the survival of a species, as they allow the species to avoid local extinction by migrating to more suitable habitat patches. This paper studies various reliability metrics for the process of migration in a metapopulation landscape network from a critical habitat patch to destination habitat patches via perfect stepping stones and imperfect (deletable) corridors. The work presented herein generalizes earlier work on the application of reliability theory in ecology by allowing corridors to be heterogeneous (of non-identical unreliabilities). The paper is a tutorial exposition of modern reliability techniques, which formulate a problem in the Boolean domain, manipulate formulas to achieve disjointness of logically added subexpressions and retain statistical independence of logically multiplied ones, and finally reach a probability-ready expression that is directly transformed back to the probability domain. Several metrics are covered including system unreliability, life expectancy (MTTF), and component importance measures. An interesting finding is that the life expectancy of a classical landscape network is more than double that of a single corridor. Extensions to quantification of uncertainty in the above metrics and to evaluation of more sophisticated metrics of landscape connectivity are also pointed out.

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  • Rushdi, Ali Muhammad Ali & Hassan, Ahmad Kamal, 2015. "Reliability of migration between habitat patches with heterogeneous ecological corridors," Ecological Modelling, Elsevier, vol. 304(C), pages 1-10.
    • Handle: RePEc:eee:ecomod:v:304:y:2015:i:c:p:1-10
    DOI: 10.1016/j.ecolmodel.2015.02.014
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    References listed on IDEAS

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    1. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
    2. Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
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    Cited by:

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    2. Rong Guo & Tong Wu & Mengran Liu & Mengshi Huang & Luigi Stendardo & Yutong Zhang, 2019. "The Construction and Optimization of Ecological Security Pattern in the Harbin-Changchun Urban Agglomeration, China," IJERPH, MDPI, vol. 16(7), pages 1-18, April.
    3. Lingyan Wei & Meihui Li & Yixi Ma & Yongshi Wang & Genghong Wu & Tiedong Liu & Wenfeng Gong & Mingjiang Mao & Yixian Zhao & Youhao Wei & Shirui Huang & Liya Huang, 2024. "Construction of an Ecological Security Pattern for the National Park of Hainan Tropical Rainforest on the Basis of the Importance of the Function and Sensitivity of Its Ecosystem Services," Land, MDPI, vol. 13(10), pages 1-23, October.
    4. Hui Sun & Chunhui Liu & Jiaxing Wei, 2021. "Identifying Key Sites of Green Infrastructure to Support Ecological Restoration in the Urban Agglomeration," Land, MDPI, vol. 10(11), pages 1-13, November.
    5. Ali Muhammad Ali Rushdi & Ahmad Kamal Hassan & Muhammad Moinuddin, 2020. "System reliability analysis of small-cell deployment in heterogeneous cellular networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 73(3), pages 371-381, March.
    6. Tianyue Ma & Jing Li & Shuang Bai & Fangzhe Chang & Zhai Jiang & Xingguang Yan & Jiahao Shao, 2022. "Optimization and Construction of Ecological Security Patterns Based on Natural and Cultivated Land Disturbance," Sustainability, MDPI, vol. 14(24), pages 1-19, December.

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