Integral Fractional Ornstein−Uhlenbeck Processes Model and their Applications for Animal Movement

Abstract Number:

2885 

Submission Type:

Contributed Abstract 

Contributed Abstract Type:

Paper 

Participants:

Jose Hermenegildo Ramirez Gonzalez (1), Ying Sun (1)

Institutions:

(1) King Abdullah University of Science and Technology, N/A

Co-Author:

Ying Sun  
King Abdullah University of Science and Technology

First Author:

Jose Hermenegildo Ramirez Gonzalez  
King Abdullah University of Science and Technology

Presenting Author:

Jose Hermenegildo Ramirez Gonzalez  
King Abdullah University of Science and Technology

Abstract Text:

Modeling the trajectories of animals is challenging due to the complexity of their behaviors, the influence of unpredictable environmental factors, individual variability, and the lack of detailed data on their movements. Additionally, factors such as migration, hunting, reproduction, and social interactions add additional layers of complexity when attempting to accurately forecast their movements. In the literature, various models exits that aim to study animal telemetry, by modeling the velocity of the telemetry, the telemetry itself or both processes jointly through a Markovian process. In this work, we propose to model the velocity of each coordinate axis for animal telemetry data as a fractional Ornstein-Uhlenbeck (fOU) process. Then, the integral fOU process models position data in animal telemetry. Compared to traditional methods, the proposed model is flexible in modeling long-range memory.

Keywords:

Animal tracking|fractional Brownian motion|Gaussian process simulations|telemetry data|trajectory prediction|

Sponsors:

Section on Statistics and the Environment

Tracks:

Miscellaneous

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