When to be discrete: the importance of time formulation in understanding animal movement. McClintock, B., Johnson, D., Hooten, M., Ver Hoef, J., & Morales, J. Movement Ecology, 2(1):21, 2014.
Paper doi abstract bibtex Animal movement is essential to our understanding of population dynamics, animal behavior, and the impacts of global change. Coupled with high-resolution biotelemetry data, exciting new inferences about animal movement have been facilitated by various specifications of contemporary models. These approaches differ, but most share common themes. One key distinction is whether the underlying movement process is conceptualized in discrete or continuous time. This is perhaps the greatest source of confusion among practitioners, both in terms of implementation and biological interpretation. In general, animal movement occurs in continuous time but we observe it at fixed discrete-time intervals. Thus, continuous time is conceptually and theoretically appealing, but in practice it is perhaps more intuitive to interpret movement in discrete intervals. With an emphasis on state-space models, we explore the differences and similarities between continuous and discrete versions of mechanistic movement models, establish some common terminology, and indicate under which circumstances one form might be preferred over another. Counter to the overly simplistic view that discrete- and continuous-time conceptualizations are merely different means to the same end, we present novel mathematical results revealing hitherto unappreciated consequences of model formulation on inferences about animal movement. Notably, the speed and direction of movement are intrinsically linked in current continuous-time random walk formulations, and this can have important implications when interpreting animal behavior. We illustrate these concepts in the context of state-space models with multiple movement behavior states using northern fur seal (Callorhinus ursinus) biotelemetry data.
@ARTICLE{McClintock2014,
author = {McClintock, Brett and Johnson, Devin and Hooten, Mevin and Ver Hoef,
Jay and Morales, Juan},
title = {When to be discrete: the importance of time formulation in understanding
animal movement},
journal = {Movement Ecology},
year = {2014},
volume = {2},
pages = {21},
number = {1},
abstract = {Animal movement is essential to our understanding of population dynamics,
animal behavior, and the impacts of global change. Coupled with high-resolution
biotelemetry data, exciting new inferences about animal movement
have been facilitated by various specifications of contemporary models.
These approaches differ, but most share common themes. One key distinction
is whether the underlying movement process is conceptualized in discrete
or continuous time. This is perhaps the greatest source of confusion
among practitioners, both in terms of implementation and biological
interpretation. In general, animal movement occurs in continuous
time but we observe it at fixed discrete-time intervals. Thus, continuous
time is conceptually and theoretically appealing, but in practice
it is perhaps more intuitive to interpret movement in discrete intervals.
With an emphasis on state-space models, we explore the differences
and similarities between continuous and discrete versions of mechanistic
movement models, establish some common terminology, and indicate
under which circumstances one form might be preferred over another.
Counter to the overly simplistic view that discrete- and continuous-time
conceptualizations are merely different means to the same end, we
present novel mathematical results revealing hitherto unappreciated
consequences of model formulation on inferences about animal movement.
Notably, the speed and direction of movement are intrinsically linked
in current continuous-time random walk formulations, and this can
have important implications when interpreting animal behavior. We
illustrate these concepts in the context of state-space models with
multiple movement behavior states using northern fur seal (Callorhinus
ursinus) biotelemetry data.},
doi = {10.1186/s40462-014-0021-6},
file = {:s40462-014-0021-6.pdf:PDF},
issn = {2051-3933},
owner = {Tiago Marques},
timestamp = {2014.11.19},
url = {http://www.movementecologyjournal.com/content/2/1/21}
}
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With an emphasis on state-space models, we explore the differences and similarities between continuous and discrete versions of mechanistic movement models, establish some common terminology, and indicate under which circumstances one form might be preferred over another. Counter to the overly simplistic view that discrete- and continuous-time conceptualizations are merely different means to the same end, we present novel mathematical results revealing hitherto unappreciated consequences of model formulation on inferences about animal movement. Notably, the speed and direction of movement are intrinsically linked in current continuous-time random walk formulations, and this can have important implications when interpreting animal behavior. 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