A Comparison of Grizzly Bear Demographic Parameters Estimated from Non-Spatial and Spatial Open Population Capture-Recapture Models
RESEARCH ARTICLE
A Comparison of Grizzly Bear Demographic
Parameters Estimated from Non-Spatial and
Spatial Open Population Capture-Recapture
Models
Jesse Whittington1*, Michael A. Sawaya2
1 Parks Canada, Banff National Park Resource Conservation, Banff, Alberta, Canada, 2 Sinopah Wildlife
Research Associates, Missoula, Montana, United States of America
*
Abstract
OPEN ACCESS
Citation: Whittington J, Sawaya MA (2015) A
Comparison of Grizzly Bear Demographic
Parameters Estimated from Non-Spatial and Spatial
Open Population Capture-Recapture Models. PLoS
ONE 10(7): e0134446. doi:10.1371/journal.
pone.0134446
Editor: Mark S. Boyce, University of Alberta,
CANADA
Received: April 19, 2015
Accepted: July 10, 2015
Published: July 31, 2015
Copyright: © 2015 Whittington, Sawaya. This is an
open access article distributed under the terms of the
Creative Commons Attribution License, which permits
unrestricted use, distribution, and reproduction in any
medium, provided the original author and source are
credited.
Data Availability Statement: All relevant data are
within the paper and its Supporting Information files.
Funding: Funding for this project was provided by
Parks Canada, the Western Transportation Institute
at Montana State University, the Woodcock
Foundation, the Henry P. Kendall Foundation, and the
Wilburforce Foundation. Additional support was
provided by the National Fish and Wildlife
Foundation, Alberta Conservation Association,
Calgary Foundation, and the Mountain Equipment
Cooperative.
Capture-recapture studies are frequently used to monitor the status and trends of wildlife
populations. Detection histories from individual animals are used to estimate probability of
detection and abundance or density. The accuracy of abundance and density estimates
depends on the ability to model factors affecting detection probability. Non-spatial capturerecapture models have recently evolved into spatial capture-recapture models that directly
include the effect of distances between an animal’s home range centre and trap locations on
detection probability. Most studies comparing non-spatial and spatial capture-recapture
biases focussed on single year models and no studies have compared the accuracy of
demographic parameter estimates from open population models. We applied open population non-spatial and spatial capture-recapture models to three years of grizzly bear DNAbased data from Banff National Park and simulated data sets. The two models produced similar estimates of grizzly bear apparent survival, per capita recruitment, and population growth
rates but the spatial capture-recapture models had better fit. Simulations showed that spatial
capture-recapture models produced more accurate parameter estimates with better credible
interval coverage than non-spatial capture-recapture models. Non-spatial capture-recapture
models produced negatively biased estimates of apparent survival and positively biased estimates of per capita recruitment. The spatial capture-recapture grizzly bear population growth
rates and 95% highest posterior density averaged across the three years were 0.925
(0.786–1.071) for females, 0.844 (0.703–0.975) for males, and 0.882 (0.779–0.981) for
females and males combined. The non-spatial capture-recapture population growth rates
were 0.894 (0.758–1.024) for females, 0.825 (0.700–0.948) for males, and 0.863 (0.771–
0.957) for both sexes. The combination of low densities, low reproductive rates, and predominantly negative population growth rates suggest that Banff National Park’s population of
grizzly bears requires continued conservation-oriented management actions.
PLOS ONE | DOI:10.1371/journal.pone.0134446 July 31, 2015
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Grizzly Bear Population Trends
Competing Interests: The authors have declared
that no competing interests exist.
Introduction
Increasing human activity throughout the world threatens many species and subsequent ecosystem processes [1]. Basic metrics such as population growth rates are required to help understand how human activities, ecological conditions, and management actions affect the
conservation status of wildlife populations. Capture-recapture techniques are commonly used
to estimate abundance, density, and demographic parameters such as population growth,
apparent survival, and recruitment. Capture-recapture studies use repeated surveys of identifiable individuals to estimate detection probability and variance around density, apparent survival, recruitment, and population growth rates [2].
Within closed population capture-recapture studies, multiple sampling occasions generate
individual capture histories that are then used to estimate detection probability and the number
of individuals in the study area that were present but undetected. When surveys are conducted
across multiple years or sessions, open population capture-recapture models track individual
detections over time to estimate demographic parameters such as apparent survival, per capita
recruitment, and population growth rates [3,4]. In its simplest form, non-spatial capture-recapture models determine whether or not each animal was detected within an occasion and use the
proportion of occasions each animal was detected to estimate detection probability. Challenges
with capture-recapture arise when individuals vary in their exposure to traps. For example, animals with home ranges that occur entirely within a study area may have higher detection probabilities than animals with home ranges that only partially overlap the study area. This variability
in detection probability is pronounced for wide ranging carnivores that have large home ranges
relative to the size of the study area. Capture-recapture models have included the distance
between an animal’s home range center and the edge of the study area as a covariate affecting
detection probability [5–8], but this approach assumes a linear relationship between distance to
edge and detection probability and does not reflect observation processes. Spatial capture-recapture techniques are a rapidly evolving class of models that directly estimate the effects of distance
between an animal’s home range centre and each trap location on probability of detection [9–12].
Comparisons between closed population non-spatial and spatial capture-recapture models
have found that spatial models generally provide more robust density estimates with fewer
biases [13–16] but can be biased low [17]. Spatial capture-recapture methods have been used to
estimate densities of many species including lynx [16], wolverine [18], and black bears [19–21].
However, most studies have focussed on single year models and only a few studies have used
open population spatial capture-recapture approaches to estimate population parameters
[12,22–24]. Comparisons between open population non-spatial and spatial models found via
simulation that the non-spatial models under-estimated mortality rates [23]. No studies to our
knowledge have compared populati (...truncated)