Lévy-stable motions as an integrative framework for studying animal movement: field tests with stream fish

Lévy 稳定运动作为研究动物运动的综合框架：溪流鱼的现场测试

• 批准号: 138680-2008
• 负责人: Rodriguez, Marco
• 金额: $ 1.79万
• 依托单位: Université du Québec à Trois-Rivières
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=391570
• 关键词: vy; stable; motions; integrative; framework

Local movement and long-distance dispersal (LDD) influence many important ecological processes. However, progress in understanding animal movement has been hampered by the lack of an integrative modelling framework for guiding the collection and interpretation of empirical data and providing adequate fits to them. Recent work has shown that in many cases Lévy-stable motions (LSM), a class of random-walk models, are a powerful alternative to classic diffusion models. LSM also have desirable mathematical properties and have close connections with foraging theory, which shows that under many conditions LSM provide an optimal search strategy. These attributes make LSM an appealing conceptual framework for studying movement.

局部迁移和长距离扩散（LDD）影响着许多重要的生态过程。然而，由于缺乏一个综合的建模框架来指导经验数据的收集和解释，并为它们提供足够的拟合，因此在理解动物运动方面的进展受到了阻碍。最近的研究表明，在许多情况下，Lévy稳定运动（LSM），一类随机行走模型，是经典扩散模型的一个强大的替代品。最小二乘法还具有良好的数学性质，并与觅食理论有着密切的联系，这表明在许多情况下，最小二乘法提供了一种最优搜索策略。这些属性使LSM成为研究运动的一个有吸引力的概念框架。