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Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications

Yun Tao, Valeria Giunta Orcid Logo, Luca Borger Orcid Logo, Mark Q Wilber

Movement Ecology, Volume: 13, Start page: 12

Swansea University Authors: Valeria Giunta Orcid Logo, Luca Borger Orcid Logo

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DOI (Published version): 10.1186/s40462-025-00538-5

Abstract

Models of utilization distribution in the form of partial differential equations have long contributed to our understanding of organismal space use patterns. In studies of infectious diseases, they are also being increasingly adopted in support of epidemic forecasting and scenario planning. However,...

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Published in: Movement Ecology
ISSN: 2051-3933 2051-3933
Published: Springer Nature 2025
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In studies of infectious diseases, they are also being increasingly adopted in support of epidemic forecasting and scenario planning. However, as movement research shifts its focus towards large data collection and statistical modeling of movement trajectories, the development of such models has notably slowed. Here, we demonstrate the continued importance of modeling utilization distribution to predict variation in space-use patterns over time. We highlight the considerable, yet largely untapped, potential of such models, which have historically been limited by the steady-state assumption due to longstanding technical constraints. Now, by adapting existing computational tools primarily developed for material science and engineering, we can probe beyond the steady states and unlock from them a broad spectrum of complex, transient space-use dynamics. Our approach requires little experience in numerical analysis and is readily accessible to model practitioners in ecology and epidemiology across diverse systems where movement is a critical feature. We illustrated our approach using a mix of canonical and novel case studies, covering topics from wildlife translocation to vaccine deployment. First, we revisited a classical model of canid territorial formation driven by scent-mediated conspecific avoidance. Transient space-use analysis uncovered previously hidden spatial dynamics that are ecologically informative. Next, we applied our approach to long-distance movement on realistic landscapes. Habitat and land-use heterogeneities markedly affected the transient space-use dynamics and short-term forecasts, even when the steady state remained unchanged, with direct implications for conservation management. Finally, we modeled transient space-use dynamics as both a response to and a driver of transient population dynamics. The importance of this interdependence was shown in the context of epidemiology, in a scenario where the movement of healthcare personnel is influenced by local outbreak conditions that are stochastically evolving. By facilitating transient space-use analysis, our approach could lead to reevaluations of foundational ecological concepts such as home range and territory, replacing static with dynamic definitions that more accurately reflect biological realities. 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spelling 2025-03-14T10:45:31.7955010 v2 69100 2025-03-14 Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications 50456cce4b2c7be66f8302d418963b0c 0000-0003-1156-7136 Valeria Giunta Valeria Giunta true false 8416d0ffc3cccdad6e6d67a455e7c4a2 0000-0001-8763-5997 Luca Borger Luca Borger true false 2025-03-14 MACS Models of utilization distribution in the form of partial differential equations have long contributed to our understanding of organismal space use patterns. In studies of infectious diseases, they are also being increasingly adopted in support of epidemic forecasting and scenario planning. However, as movement research shifts its focus towards large data collection and statistical modeling of movement trajectories, the development of such models has notably slowed. Here, we demonstrate the continued importance of modeling utilization distribution to predict variation in space-use patterns over time. We highlight the considerable, yet largely untapped, potential of such models, which have historically been limited by the steady-state assumption due to longstanding technical constraints. Now, by adapting existing computational tools primarily developed for material science and engineering, we can probe beyond the steady states and unlock from them a broad spectrum of complex, transient space-use dynamics. Our approach requires little experience in numerical analysis and is readily accessible to model practitioners in ecology and epidemiology across diverse systems where movement is a critical feature. We illustrated our approach using a mix of canonical and novel case studies, covering topics from wildlife translocation to vaccine deployment. First, we revisited a classical model of canid territorial formation driven by scent-mediated conspecific avoidance. Transient space-use analysis uncovered previously hidden spatial dynamics that are ecologically informative. Next, we applied our approach to long-distance movement on realistic landscapes. Habitat and land-use heterogeneities markedly affected the transient space-use dynamics and short-term forecasts, even when the steady state remained unchanged, with direct implications for conservation management. Finally, we modeled transient space-use dynamics as both a response to and a driver of transient population dynamics. The importance of this interdependence was shown in the context of epidemiology, in a scenario where the movement of healthcare personnel is influenced by local outbreak conditions that are stochastically evolving. By facilitating transient space-use analysis, our approach could lead to reevaluations of foundational ecological concepts such as home range and territory, replacing static with dynamic definitions that more accurately reflect biological realities. Furthermore, we contend that a growing interest in transient space-use dynamics, spurred by this work, could have transformative effects, stimulating new research avenues in ecology and epidemiology. Journal Article Movement Ecology 13 12 Springer Nature 2051-3933 2051-3933 Utilization distribution; Transient dynamics; Space-use pattern; Home range; Territory; Disease ecology; Epidemiology 28 2 2025 2025-02-28 10.1186/s40462-025-00538-5 Methodology COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Another institution paid the OA fee YT was supported by an appointment to the Intelligence Community Postdoctoral Research Fellowship Program at UC Santa Barbara, administered by Oak Ridge Institute for Science and Education through an interagency agreement between the U.S. Department of Energy and the Office of the Director of National Intelligence. VG was supported by the National Group of Mathematical Physics (GNFM-INdAM) (Italy). MQW acknowledges the USDA National Institute of Food and Agriculture for funding (Hatch Project 7001607). 2025-03-14T10:45:31.7955010 2025-03-14T10:33:14.3711876 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Yun Tao 1 Valeria Giunta 0000-0003-1156-7136 2 Luca Borger 0000-0001-8763-5997 3 Mark Q Wilber 4 69100__33815__29161a1358da40858aa8187d406ce232.pdf 69100.VOR.pdf 2025-03-14T10:42:44.9275220 Output 2645103 application/pdf Version of Record true © The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0). true eng http://creativecommons.org/licenses/by/4.0/
title Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications
spellingShingle Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications
Valeria Giunta
Luca Borger
title_short Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications
title_full Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications
title_fullStr Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications
title_full_unstemmed Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications
title_sort Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications
author_id_str_mv 50456cce4b2c7be66f8302d418963b0c
8416d0ffc3cccdad6e6d67a455e7c4a2
author_id_fullname_str_mv 50456cce4b2c7be66f8302d418963b0c_***_Valeria Giunta
8416d0ffc3cccdad6e6d67a455e7c4a2_***_Luca Borger
author Valeria Giunta
Luca Borger
author2 Yun Tao
Valeria Giunta
Luca Borger
Mark Q Wilber
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container_title Movement Ecology
container_volume 13
container_start_page 12
publishDate 2025
institution Swansea University
issn 2051-3933
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doi_str_mv 10.1186/s40462-025-00538-5
publisher Springer Nature
college_str Faculty of Science and Engineering
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hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
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description Models of utilization distribution in the form of partial differential equations have long contributed to our understanding of organismal space use patterns. In studies of infectious diseases, they are also being increasingly adopted in support of epidemic forecasting and scenario planning. However, as movement research shifts its focus towards large data collection and statistical modeling of movement trajectories, the development of such models has notably slowed. Here, we demonstrate the continued importance of modeling utilization distribution to predict variation in space-use patterns over time. We highlight the considerable, yet largely untapped, potential of such models, which have historically been limited by the steady-state assumption due to longstanding technical constraints. Now, by adapting existing computational tools primarily developed for material science and engineering, we can probe beyond the steady states and unlock from them a broad spectrum of complex, transient space-use dynamics. Our approach requires little experience in numerical analysis and is readily accessible to model practitioners in ecology and epidemiology across diverse systems where movement is a critical feature. We illustrated our approach using a mix of canonical and novel case studies, covering topics from wildlife translocation to vaccine deployment. First, we revisited a classical model of canid territorial formation driven by scent-mediated conspecific avoidance. Transient space-use analysis uncovered previously hidden spatial dynamics that are ecologically informative. Next, we applied our approach to long-distance movement on realistic landscapes. Habitat and land-use heterogeneities markedly affected the transient space-use dynamics and short-term forecasts, even when the steady state remained unchanged, with direct implications for conservation management. Finally, we modeled transient space-use dynamics as both a response to and a driver of transient population dynamics. The importance of this interdependence was shown in the context of epidemiology, in a scenario where the movement of healthcare personnel is influenced by local outbreak conditions that are stochastically evolving. By facilitating transient space-use analysis, our approach could lead to reevaluations of foundational ecological concepts such as home range and territory, replacing static with dynamic definitions that more accurately reflect biological realities. Furthermore, we contend that a growing interest in transient space-use dynamics, spurred by this work, could have transformative effects, stimulating new research avenues in ecology and epidemiology.
published_date 2025-02-28T05:23:46Z
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