Strong anomalous diffusion for free-ranging birds
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916894574903296 |
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| author | Vilk, Ohad Charter, Motti Toledo, Sivan Barkai, Eli Nathan, Ran |
| author_facet | Vilk, Ohad Charter, Motti Toledo, Sivan Barkai, Eli Nathan, Ran |
| contents | Diffusion and anomalous diffusion are widely observed and used to study movement across organisms, resulting in extensive use of the mean and mean-squared displacement (MSD). However, these measures - corresponding to specific displacement moments - do not capture the full complexity of movement behavior. Using high-resolution data from over 70 million localizations of young and adult free-ranging Barn Owls (\textit{Tyto alba}), we reveal strong anomalous diffusion as nonlinear growth of displacement moments. The moment spectrum function $λ_t(q)$ -- defined by $\left<|\bm{x}(t)|^q\right> \sim t^{λ_t(q)}$ -- displays piecewise linearity in $q$, with a critical moment marking the crossover between scaling regimes. This highlights the need of a broad spectrum of displacement moments to characterize movement, which we link to age-specific ecological drivers. Furthermore, a characteristic timescale of five minutes marks an unexpected transition from a convex to a concave $λ_t(q)$. Using two stochastic models - a bounded Lévy walk and a multi-mode behavioral model - we account for the observed phenomena, showing good agreement with data, relating age-specific behavioral states to environmentally confined movement, and demonstrating how Lévy walk-like patterns can arise from underlying behavioral structure. Finally, we discuss the ecological significance of our results, arguing that strong anomalous diffusion may be widespread in animal movement. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_04684 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong anomalous diffusion for free-ranging birds Vilk, Ohad Charter, Motti Toledo, Sivan Barkai, Eli Nathan, Ran Populations and Evolution Statistical Mechanics Biological Physics Data Analysis, Statistics and Probability Quantitative Methods Diffusion and anomalous diffusion are widely observed and used to study movement across organisms, resulting in extensive use of the mean and mean-squared displacement (MSD). However, these measures - corresponding to specific displacement moments - do not capture the full complexity of movement behavior. Using high-resolution data from over 70 million localizations of young and adult free-ranging Barn Owls (\textit{Tyto alba}), we reveal strong anomalous diffusion as nonlinear growth of displacement moments. The moment spectrum function $λ_t(q)$ -- defined by $\left<|\bm{x}(t)|^q\right> \sim t^{λ_t(q)}$ -- displays piecewise linearity in $q$, with a critical moment marking the crossover between scaling regimes. This highlights the need of a broad spectrum of displacement moments to characterize movement, which we link to age-specific ecological drivers. Furthermore, a characteristic timescale of five minutes marks an unexpected transition from a convex to a concave $λ_t(q)$. Using two stochastic models - a bounded Lévy walk and a multi-mode behavioral model - we account for the observed phenomena, showing good agreement with data, relating age-specific behavioral states to environmentally confined movement, and demonstrating how Lévy walk-like patterns can arise from underlying behavioral structure. Finally, we discuss the ecological significance of our results, arguing that strong anomalous diffusion may be widespread in animal movement. |
| title | Strong anomalous diffusion for free-ranging birds |
| topic | Populations and Evolution Statistical Mechanics Biological Physics Data Analysis, Statistics and Probability Quantitative Methods |
| url | https://arxiv.org/abs/2411.04684 |