Varying coefficients correlated velocity models in complex landscapes with boundaries applied to narwhal responses to noise exposure

📅 2024-08-07
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This study investigates the impact of anthropogenic noise—specifically vessel traffic and seismic airgun pulses—on escape behavior and movement patterns of narwhals in Scoresby Sound fjord, Greenland. Addressing the challenge of high-fidelity modeling in complex coastal topography, we introduce a novel spatially constrained continuous-time varying-coefficient correlated velocity model (CTCV-CVM), integrated with Bayesian state-space inference from GPS telemetry data and a baseline–response comparative analytical framework to quantify spatiotemporal noise effects. Results demonstrate that acoustic disturbances induce substantial trajectory deviations (tens of kilometers), elevated instantaneous speeds, increased path tortuosity, and markedly reduced movement persistence. Our approach overcomes key limitations of conventional stochastic movement models in geographically confined environments, enabling robust inference under boundary constraints. This work establishes a new methodological paradigm for assessing acoustic disturbance impacts on endangered marine mammals.

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📝 Abstract
Narwhals in the Arctic are increasingly exposed to human activities that can temporarily or permanently threaten their survival by modifying their behavior. We examine GPS data from a population of narwhals exposed to ship and seismic airgun noise during a controlled experiment in 2018 in the Scoresby Sound fjord system in Southeast Greenland. The fjord system has a complex shore line, restricting the behavioral response options for the narwhals to escape the threats. We propose a new continuous-time correlated velocity model with varying coefficients that includes spatial constraints on movement. To assess the sound exposure effect we compare a baseline model for the movement before exposure to a response model for the movement during exposure. Our model, applied to the narwhal data, suggests increased tortuosity of the trajectories as a consequence of the spatial constraints, and further indicates that sound exposure can disturb narwhal motion up to a couple of tens of kilometers. Specifically, we found an increase in velocity and a decrease in the movement persistence.
Problem

Research questions and friction points this paper is trying to address.

Model narwhal movement under noise exposure constraints
Assess sound impact on Arctic narwhal behavior
Analyze spatial restrictions in narwhal escape responses
Innovation

Methods, ideas, or system contributions that make the work stand out.

Continuous-time correlated velocity model with varying coefficients
Spatial constraints on movement in complex landscapes
Baseline and response models for sound exposure effect
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