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PLOS One logoLink to PLOS One
. 2020 Feb 11;15(2):e0221843. doi: 10.1371/journal.pone.0221843

Short-term effects of GPS collars on the activity, behavior, and adrenal response of scimitar-horned oryx (Oryx dammah)

Jared A Stabach 1,*, Stephanie A Cunningham 1,¤a, Grant Connette 1, Joel L Mota 1,¤b, Dolores Reed 1, Michael Byron 1,¤c, Melissa Songer 1, Tim Wacher 2, Katherine Mertes 1, Janine L Brown 1, Pierre Comizzoli 1, John Newby 3, Steven Monfort 1, Peter Leimgruber 1
Editor: Edna Hillmann4
PMCID: PMC7012457  PMID: 32045413

Abstract

GPS collars have revolutionized the field of animal ecology, providing detailed information on animal movement and the habitats necessary for species survival. GPS collars also have the potential to cause adverse effects ranging from mild irritation to severe tissue damage, reduced fitness, and death. The impact of GPS collars on the behavior, stress, or activity, however, have rarely been tested on study species prior to release. The objective of our study was to provide a comprehensive assessment of the short-term effects of GPS collars fitted on scimitar-horned oryx (Oryx dammah), an extinct-in-the-wild antelope once widely distributed across Sahelian grasslands in North Africa. We conducted behavioral observations, assessed fecal glucocorticoid metabolites (FGM), and evaluated high-resolution data from tri-axial accelerometers. Using a series of datasets and methodologies, we illustrate clear but short-term effects to animals fitted with GPS collars from two separate manufacturers (Advanced Telemetry Systems—G2110E; Vectronic Aerospace—Vertex Plus). Behavioral observations highlighted a significant increase in the amount of headshaking from pre-treatment levels, returning below baseline levels during the post-treatment period (>3 days post-collaring). Similarly, FGM concentrations increased after GPS collars were fitted on animals but returned to pre-collaring levels within 5 days of collaring. Lastly, tri-axial accelerometers, collecting data at eight positions per second, indicated a > 480 percent increase in the amount of hourly headshaking immediately after collaring. This post-collaring increase in headshaking was estimated to decline in magnitude within 4 hours after GPS collar fitting. These effects constitute a handling and/or habituation response (model dependent), with animals showing short-term responses in activity, behavior, and stress that dissipated within several hours to several days of being fitted with GPS collars. Importantly, none of our analyses indicated any long-term effects that would have more pressing animal welfare concerns.

Introduction

Global Positioning System (GPS) devices have revolutionized the field of animal ecology [13], providing detailed information about how animals move and utilize space across diverse and often rapidly changing landscapes (e.g., [47]). A variety of taxa can now be monitored, ranging in size from pint-sized ovenbirds (Seiurus aurocapilla; [8]) to multi-ton elephants (Loxodonta africana; e.g., [9]). In some instances, animals are now being monitored over their entire lifespans [10], a result of technological innovations (e.g., solar rechargeable batteries) or re-tagging efforts, and at temporal resolutions (minutes to seconds) that would have been unimaginable just a few decades ago.

Since the inception of animal tracking, scientists have recognized the ethical concerns of fitting animals with tracking devices, providing general guidelines (e.g., devices should weigh <5% of total animal body weight) and in most cases, requiring tracking studies to undergo a thorough review from animal care and use committees before being initiated [11]. While various studies investigating potential adverse effects resulting from animals wearing telemetry devices exist (for a review, see [12]), most mammalian studies (~85% reported in [12]) have focused on small- to medium-sized animals (< 15 kg), which are easier (and less expensive) to monitor and manipulate in laboratory settings than studies on large animals (although see [1317]). Prevailing results of these studies illustrate that the effects of fitting tracking devices on animals are generally minimal, although severe and study-specific impacts have been reported [12,18]. And while research into the effects on large mammals do exist (see [13,1517,19]), these studies are mostly focused on the effects that result from capture and/or chemical immobilization, rather than the impact of collars themselves.

The most common telemetry device for monitoring large mammals over extended time periods is the GPS collar. Designed to fit around an animal’s neck, devices are comprised of a satellite receiver that points directly upward to communicate with the Navstar satellite constellation and a battery pack located underneath the animal’s neck which also serves as a counterbalance to keep the device in place. Fitting a tracking device around an animal’s neck, however, has inherent risks ranging from mild irritation [20] to severe tissue damage [21,22], reduced fitness, and death (either by increased predation pressure or as a direct result of the device). Behavioral and habitat use changes can also occur [23], biasing study results and leading to losses in data integrity [3,24].

Zoos and captive breeding facilities offer an opportunity to monitor large animals in controlled settings, providing valuable information that may benefit wild populations. The purpose of our study was to evaluate the impact of GPS collars fit on captive-bred scimitar-horned oryx (Oryx dammah, hereafter oryx). Once widespread across Sahelian grasslands stretching from Senegal to Sudan, the species is now extinct in the wild due to overhunting and habitat loss [25]. Some 5,000–10,000 captive-bred oryx exist in institutions globally, the descendants of oryx taken from their native habitat in the 1960s. A consortium of institutions led by the Environment Agency–Abu Dhabi, the Government of Chad, and the Sahara Conservation Fund have embarked on an ambitious initiative to reintroduce oryx to a portion of the animals’ former range in Chad. Since August 2016, 194 oryx have been reintroduced to the Ouadi Rimé-Ouadi Achim Wildlife Reserve, the second largest terrestrial protected area in Africa (77,360 km2) and the heart of the species’ former range. Nearly every individual reintroduced to the reserve has been or will be fit with a GPS collar, the only economically viable option to monitor movement, survival, and provide a means for assessing reintroduction success across this large, inaccessible region. Given the species’ conservation status [25], evaluating potential adverse effects resulting from GPS collars was a research priority.

With the advent of advanced laboratory techniques to assess subtle changes in adrenal activity and bio-logging devices to measure activity in micro-second intervals, we now have the ability to more thoroughly evaluate the response of animals to GPS collars. We used three methods, including traditional behavioral scans, assessments of fecal glucocorticoid metabolite (FGM) concentrations, and analyses of high-resolution data from tri-axial accelerometers, to assess potential adverse effects of GPS collars fitted on oryx. We predicted that animals would acclimate to GPS collars within a few days of being handled/fit, resulting in a short period in which irritation behaviors (i.e., head shaking) and hormonal stress levels (i.e., FGM) increased before returning to pre-collaring levels. By incorporating multiple analysis methods, we provide detailed information on the short-term effects of devices that have proven to be essential for reintroduction/relocation efforts, and which should provide beneficial in discussions with the general public on the use of these devices in wildlife studies.

Materials and methods

Study area

Research was conducted at the Smithsonian Conservation Biology Institute in Front Royal, Virginia, USA (38°53’ N, 78.9’W). Habitat across the 1,200 ha facility is predominantly Appalachian oak forest [26], consisting of managed pasture for research and husbandry purposes. Oryx were separated into multiple enclosures to control reproduction and reduce competition-related injuries. Female oryx (11 adult, 1 juvenile) were housed together as one group in a ~1.5 ha enclosure, inclusive of fenced pasture and a barn facility where veterinary procedures were conducted. Intact (i.e., non-vasectomized) males (3 adults, 0 juvenile) were located in separate, unconnected enclosures > 1 km from females.

Study design and data collection

Thirteen (13) oryx were selected for inclusion in this study. Animals fitted with GPS collars (n = 10) were between 1 and 16 years of age. No animal had ever before been fitted with a GPS collar. Control animals (n = 3), used as a comparison dataset for analyses of FGMs, were 7 to 18 years old (Table 1). All aspects of animal handling were administered by Smithsonian staff veterinarians and approved by the Smithsonian National Zoo and Conservation Biology Institute’s Institutional Animal Care and Use Committee (Proposal #15–32).

Table 1. Summary of scimitar-horned oryx (oryx dammah) included to evaluate short-term effects of GPS collars.

Animals (ID) were fit with Advanced Telemetry System (ATS; model G2110E) and Vectronic Aerospace (Vectronic; model Vertex Plus) GPS collars. Control (non-collared) animals also listed (Collar Type: None). Change (Δ) in body weight compares animal weights on 03-Nov-2015 (Weight) and 15-Dec-2015. Percent (%) body weight of GPS collars based on collar weights of 1.1 Kg (ATS) and 0.6 Kg (Vectronic). Checkmarks (✓) indicate animal inclusion in study components. (-) Indicates data not collected.

ID Sex Age (years) Collar Type Weight (Kg) % Body Weighta Δ in Body Wgt (Kg) GPS Monitoring Period (Days) Behavior Observations FGMc Accelerometer Data
114531 F 5 ATS 154.2 0.73 -5.4 40  
114542 F 5 ATS 124.3 0.89 0 39  
114842 F 4 ATS 108.9 1.03 -4.6 40    
114843 F 4 ATS 115.2 0.96 -1.8 29  
115093 F 1 ATS 115.2 0.95 0 46  
113469 M 16 Vectronicb - - - 27  
114426 F 8 Vectronic 130.6 0.46 -1.8 40
114839 F 3 Vectronic 133.4 0.45 1.8 29
114915 M 8 Vectronic - - - 28
114969 F 10 Vectronic 136.1 0.46 -11.8 40
113204 M 18 None - - - -    
114427 F 7 None - - - -    
114968 F 10 None - - - -    

aPercent body weight of GPS collar

bAccelerometer data corrupt/excluded from analysis

cFecal Glucocorticoid Metabolites

Female oryx were physically restrained to fit GPS collars using a hydraulic restraint device (TAMER®, Fauna Research Incorporated, Red Hook, NY). No chemical immobilizations were used. Handling activities occurred at the same time animals were being prepared for artificial inseminations. Each female received two injections of cloprostenol sodium 11 days apart (500 μg, IM; Estrumate, Intervet Incorporated, Summit, NJ) to synchronize estrus [27]. These procedures provided our team with two opportunities to handle each animal and evaluate collar fit. A third opportunity to evaluate collar fit was presented at the time of artificial insemination (56 h after the second prostaglandin injection). All female oryx were weighed throughout the study period (Table 1). GPS collars were fitted on male oryx at the same time semen was collected. Males were immobilized with a mixture of etorphine, medetomidine, and ketamine. No injuries occurred during handling and/or collaring.

Global Positioning System (GPS) collars from two manufacturers (Advanced Telemetry Systems [ATS Incorporated, Isanti, MN] and Vectronic [Vectronic Aerospace GmbH, Berlin, Germany]), were tested on oryx: five ATS Iridium/GPS collars (model G2110E) and five Vectronic Iridium/GPS collars (model Vertex Plus). Collars weighed 1.1 kg and 0.6 kg, respectively, ≤ 1% of oryx body weight (Table 1). Collars were fit on 22 October (6 females), 02 November (2 females), and 03 November 2015 (2 males). Collars were programmed to automatically drop-off animals or were manually removed for further behavioral investigations (Cunningham et al. In review). Total time oryx were collared ranged from 27 to 46 days (Table 1).

We split the study into three periods (pre-treatment, treatment, and post-treatment) to evaluate the length of time that short-term behavioral and adrenal hormone effects associated with fitting animals with GPS collars were present. The pre-treatment period represented the period prior to animals being fit with collars (< 0 days of the collar fitting date). The treatment period represented the period in which oryx were fitted with GPS collars and the time period in which we expected to observe short-term adverse effects (0–3 days after collar fitting). The post-treatment period was the time period in which we expected short-term effects to have subsided (˃ 3 days of the collar fitting date). GPS collars remained on animals throughout the post-treatment period. Treatment periods, however, represent relative dates since collar fitting occurred on different dates. We shifted the treatment periods +1 day (as described below) when analyzing fecal glucocorticoids due to the recognized lag in detecting circulating hormones in fecal material [2830].

All statistical analyses for this study were formulated in a Bayesian framework. Models were fit using Markov chain Monte Carlo (MCMC) simulation in JAGS [31], executed via the jagsUI package [32] in program R [33]. Code to execute all analyses described below are provided in the Supplementary Materials (S1 Code: Behavioral Observation Analyses; S2 Code: Fecal Glucocorticoid Metabolite Analyses; S3 Code: Accelerometer Data Analyses). Each File includes code, data, details of the priors, and specifics of the simulations.

Behavioral observations

Data collection and processing

Behavioral data were collected by one observer (JM) between 08 October 2015 and 17 November 2015. Each animal (n = 10) was observed during each of three treatment periods (Pre-treatment, Treatment, and Post-treatment). Animals were acclimatized to the presence of the observer for two weeks prior to the data collection period, 20–30 minutes each day. Observations were collected in the morning (female oryx) and afternoon (male oryx). The observer stood outside enclosures, ~20 meters from surveyed individuals. Female oryx were observed simultaneously in groups ranging from 1 to 5 individuals. Male oryx were observed individually.

Behavioral sampling for each individual was conducted across repeated 10-minute observation periods, following details provided by [34]. During each observation period, a behavioral tally was recorded every 15 seconds. Behaviors, derived from [35] and consistent with studies investigating collaring effects [36,37], were divided into six categories (Table 2). These behaviors represented normal oryx activity (e.g., feeding, walking) and those that might indicate physical irritation caused by the collars (e.g., scratching, head-shaking). Behavioral data were collected for a total of 198 observation periods (Pre-treatment (17 days) = 55 periods [5.5 ± 3.1 per individual]; Treatment (4 days) = 30 periods [3.0 ± 0.8 per individual]; Post-treatment (22 days) = 113 periods [11.3 ± 4.7 per individual]). In total, we observed 2215 behaviors during the Pre-treatment period (221.5 ± 124.4 per individual), 1211 behaviors during the Treatment period (121.1 ± 31.6 per individual), and 4544 behaviors during the Post-treatment period (454.4 ± 188.1 per individual).

Table 2. Response descriptions, derived from Packard et al. (2014), to evaluate behavioral changes related to GPS collar fitting.

Behavior tallies collected every 15 seconds during 10-minute observation windows.

Behavior Description Abbreviation
Standing (Head Up) Animal is stationary and/or feeding on food items placed in a raised feeder. Head is higher than the shoulder. HU
Standing (Head Down) Animal is stationary and/or feeding on food items on the ground. Head is lower than the shoulder. HD
Laying Animal is stationary with legs folded and body in contact with the ground. LAY
Headshaking Animal is quickly rotating its head, left to right or forward to backward. HDSK
Scratching Animal is applying pressure with muzzle, teeth, horns or hooves while moving rapidly over a small area of the body. SCRATCH
Locomotion Animal is engaged in locomotion, moving from one point to another. LOCO

We predicted that irritation behaviors (e.g., headshaking, scratching) would increase after animals were fitted with collars and subside by the post-treatment period (Pre-treatment < Treatment > Post-treatment). This would indicate short-term effects related to animals being fitted with collars, possibly reflective of a perceived fear of strangulation—similar to a predator attack [36,38,39]. Continued irritation (Pre-treatment < Treatment = Post-treatment) would indicate more severe/longer term animal welfare concerns.

Statistical analyses

To assess differences in the frequencies of observed response behaviors between treatment periods (Pre-treatment, Treatment, Post-treatment), we fit a multinomial logistic regression model to the data. The behavioral observations for each 10-minute observation period were summarized as counts indicating the number of times each of the six response behaviors was observed (Table 2). Each vector of behavioral counts was then treated as a multinomial response, where the probability of each response behavior was estimated for each treatment period. We also incorporated a random effect of individual to account for repeated measurements of the same individuals and uneven numbers of observations across individuals in each of the three treatment periods. Statistical significance was assessed by determining whether the 95% credible intervals for the estimated frequency of irritation behaviors from the Treatment and Post-treatment periods (respectively) overlapped the posterior distribution median of the Pre-Treatment period (i.e., control). Further details, including model specifications, can be found in S1 Code.

Fecal glucocorticoid metabolites

Data collection and processing

Fecal samples (~20 g samples) were collected between 15 October 2015 and 18 December 2015 (64 days) to evaluate changes in FGM concentrations. Unique sample origin was difficult to determine for female oryx housed together as a herd, resulting in lower sample sizes than males. We collected fecal samples (n = 76) from nine animals fit with GPS collars (treatment; nt = 55) and three animals that were not (control; nc = 21), to compare hormonal changes related to handling related activities.

Only moist fecal samples, with no visible signs of urine contamination, were collected. Samples were homogenized during collection by hand to more evenly distribute hormones and decrease sample variability [40] and assayed within 1-month of the last date of sample collection. Samples were placed immediately in Nasco Whirl-Pak storage bags and transported in a cooler to a -20°C freezer for further analysis. Frozen fecal samples were lyophilized for 4 days; dried samples were crushed into a fine powder. Approximately 0.1 g of each sample was transferred to a test tube for analysis. FGMs were extracted from each sample using methods developed by [41] and analyzed using a corticosterone-I125 radioimmunoassay (RIA) kit (MP Biomedicals, LLC; Santa Ana, CA). The sensitivity of the assay is 1 ng/mL. We validated the RIA by demonstrating parallelism between serially diluted fecal extracts and the standard curve, and significant (> 90%) recovery of exogenous corticosterone standard added to fecal samples before extraction. All samples were analyzed in duplicate with acceptable coefficient of variation values of less than 10%. Intra- and inter-assay coefficients of variation of control samples included in the kit were < 10% and < 15%, respectively.

Because animals were collared on different dates, we matched the samples to a relative collaring date for each individual (‘Day 0’). Data were further subset to the 8 days prior to and 10 days following collaring dates to remove subsequent periods when animals were handled and which may have led to multiple observed adrenal responses. Data were combined across individuals with different age and sex classes due to low sample sizes in order to evaluate overall support for each of the following hypotheses (Fig 1):

Fig 1. Hypothesized fecal glucocorticoid metabolite (FGM) (ng/g) adrenal responses to GPS collaring fitting [Day 0 = collar fitting date].

Fig 1

No Response—consistent linear trend with no slope; “Stress” Response—increase in FGM that does not subside; Habituation Response—increase in FGM that declines slowly over time; Handling Response—increase in FGM that declines rapidly. FGM response is time lagged [Day 1, dashed vertical line (k or k1, model dependent)] due to the time in which hormones enter the circulatory system and are metabolized (i.e., the gut passage time; [2830]).

  1. No Response—Animals exhibit no adrenal response to the collar, resulting in a consistent linear trend in FGM with no change over time;

  2. Stress Response—Animals exhibit an adrenal response to the collar, resulting in an increase in FGM after collar fitting that does not subside;

  3. Habituation Response—Animals exhibit a habituated response to the collar, resulting in an increase in FGM after collar fitting that declines slowly over time; and

  4. Handling Response—Animals exhibit a handling response to the collar, resulting in an increase in FGM after collar fitting that declines quickly (within a few days).

Statistical analyses

We used a piecewise regression approach (e.g., [42]) to develop statistical models representing each of these four hypothesized responses of FGMs to GPS collaring (Fig 1). For all models representing an adrenal response (hypotheses 2–4 above), we expected a lag of one day in peak FGM levels after collaring, due to the time it takes hormones to enter the circulatory system and for metabolites to be detected (i.e., gut passage time; [2830]).

The ‘No Response’ hypothesis was represented by an intercept-only model where the amount of FGMs (β0) remained constant over time. We represented the ‘Stress Response’ hypothesis by a piecewise regression model with a breakpoint, k, signifying the time lag (fixed at 1 day) at which we would expect to observe a change in FGMs after GPS collars were fitted. This model included an initial pre-collaring intercept (β0) and an additive change in the intercept (β1) after the breakpoint. Similarly, the ‘Habituation Response’ hypothesis was represented by a piecewise regression model with an initial mean FGM level (β0), a breakpoint on the first day post-collaring (k = 1), and a change in FGMs (β1) after the breakpoint. However, this model included a slope parameter (β2), reflecting our assumption that FGM levels should decline after the breakpoint and gradually regress to pre-treatment levels. Lastly, the ‘Handling Response’ hypothesis was represented by a piecewise regression model with two separate breakpoints. The first breakpoint, k1, was fixed to the first day post-collaring (k1 = 1) and the second breakpoint, k2, indicated the end of the handling response and was estimated from the data. Here, β0 represents the mean initial FGM level and β1 represents the change in hormone levels between breakpoints k1 and k2. Detailed model descriptions are provided in S2 Code.

We fit separate models for control and treatment animals, providing a comparison with animals that were not fitted with a GPS collar but may be affected by disturbances caused during collaring related activities. Best fitting models were identified by performing leave-one-out cross validation, selecting the model that minimized the sum of squared errors.

Accelerometer data

Data collection and processing

Vectronic GPS collars were equipped with internal tri-axial accelerometers, collecting raw data (8 Hz) of the change of direction in the x-, y-, and z-axes (surge, sway, and heave, respectively). Results were recorded for the duration of the study period. Data from one collar was corrupt and excluded from analyses (Table 1). Advanced Telemetry Systems collars were also excluded from analyses since accelerometers in these collars provided data pre-processed and summarized across each axis in 15-minute intervals, precluding identification of specific behaviors over time.

Random forests classification

We used random forests [43], an ensemble classification and regression-tree approach, to classify individual behavior throughout the study period based on the accelerometer output. Random forests have been utilized to classify accelerometer data from a variety of wildlife species with high accuracy (e.g., [4447]). We selected 4 behaviors to classify, based on previous studies [4751]. These behaviors included resting (individual is stationary, either laying or standing), headshaking (quick rotation of the head), locomotion (individual moves from one location to another, running or walking), and feeding (individual is consuming forage, pelleted feed or grass). Our main goal was to identify the amount of headshaking that occurred as a means to assess changing levels of agitation or discomfort. Training data were generated from video recordings collected on three oryx for a related behavior study that occurred from 16 December 2015 to 18 January 2016 at the Fossil Rim Wildlife Center in Glen Rose, Texas, USA (Cunningham et al. In review). GPS collars were reused for this study.

High-impact events were used as landmarks to assist in synchronizing the collar data with the video clock. We identified 23,453 records, or 48.3 minutes, of the four behaviors in the video recordings. From these data, we randomly selected 5 minutes (2,400 records) each of locomotion, resting, and feeding and approximately one third of the 33 seconds of headshaking behavior, as these were rare events, to use for training (approximately 30% of the labeled dataset). We reserved the remainder of the identified behaviors for validation. Static acceleration (i.e., acceleration resulting from the position of the device in relation to the gravitational field) was extracted from the raw data using a 2-second moving window [5153]. Results were then subtracted from the raw values to determine dynamic acceleration—the acceleration resulting from movement [51,53]. In addition to static and dynamic acceleration, we calculated the running minimum and maximum of each axis and the vectorial sum of overall body acceleration (VeDBA; [54]), to include as predictor variables in the random forests model.

Using performance metrics described by [50], we validated the random forests classification using a test dataset of approximately the same size as the training set and calculated the precision, recall, and accuracy for each behavior. Precision is the proportion of positive classifications that were correctly classified (i.e., measure of omission error), recall is the proportion of records that were correctly classified as true positive or true negative (i.e., commission error), and accuracy is a measure of the overall proportion of correctly assigned behaviors [50,55]. Following model validation, we used the fitted model from the three training individuals to classify the behavior of each individual in our current study based on their accelerometer data.

Statistical analyses

We used a time series analysis to assess the duration of elevated headshaking behavior identified by the random forests classification as a proxy for potential agitation or discomfort after collaring. Headshaking frequency was summarized on an hourly basis as a binomial count of classified headshaking records with a total sample size of 28,800 (generally 8 classified behaviors/second x 3,600 seconds/hour). We then compared three different models that represented headshaking frequency as a function of time since collaring (in hours). The best fitting model was identified by performing leave-one-out cross validation, selecting the model that minimized the sum of squares error.

Our first model was our baseline model for post-collaring headshaking behavior that assumed the hourly count of headshaking, yt, was a binomial random variable with a time-dependent probability of headshaking, pt, and the number of binomial trials, Nt, equal to the total number of accelerometer records across all behaviors (Nt ≈ 28,800). We used a logistic link function to model the logit-scale probability of headshaking as an exponential decay process:

ytBinomial(pt,Nt)
logit(pt)=aebt+c

where a represents the initial change in headshaking due to collaring, b represents the decay rate, and c is an asymptote representing the baseline level of headshaking in the absence of a collaring effect.

Similarly, our second model also treated the frequency of headshaking, yt, as a binomial response with the logit-scale probability of headshaking assumed to change over time based on an exponential decay process. However, we accounted for variation in the level of headshaking between day and nighttime periods, expected due to when animals are active and allowed to graze on pasture (8:00 to 16:00) and when animals are placed inside the barn facility are largely inactive (17:00 to 7:00), by including an offset term:

ytBinomial(pt,Nt)
pt={φt,ifDayt=0φtd,ifDayt=1
logit(φt)=aebt+c

where Dayt is a binary indicator variable representing whether each count occurred during the daytime (Dayt = 1) or nighttime (Dayt = 0) and d is an estimated exponent parameter that allows for a relative amplification (or reduction) in the probability of headshaking during the daytime.

Our final approach was to model the time series of hourly headshaking data as a combination of two harmonic processes that represented post-collaring and background levels of headshaking, respectively:

ytBinomial(pt,Nt)
logit(pt)=k=12αkt(μk+Uk1cos(2πωt)+Uk2sin(2πωt))
α1t=ebtα2t=1α1t

The frequency of headshaking, yt, was treated as a binomial response with a time-specific probability of headshaking, pt, and known number of binomial trials, Nt. The probability of headshaking was then specified as a mixture of harmonic processes (e.g., [56]), with two complementary mixture weight parameters, α1t and α2t, indicating the proportional contribution of each harmonic process, k, to the logit-scale probability of headshaking at each time t. The two harmonic processes were each composed of a process-specific mean, μk, and a background series of daily oscillations, Uk1 cos(2𝜋𝜔t) + Uk2 sin(2𝜋𝜔t), where Uk1 and Uk2 are coefficients estimated from the data, and 𝜔 defines the number of cycles per unit time. In our study, was fixed at 1/24 because one hour represents 1/24th of an animal’s daily activity cycle. Finally, the mixture weights for the first harmonic process, α1., were modelled as the outcome of an exponential decay process, e-bt, where parameter b defines the decay rate of the exponential function. Thus, the proportional contribution of the post-collaring harmonic process declines from 1 at the time of collaring (t = 0) towards an asymptote of 0, which corresponds to a complementary increase in the importance of the baseline process. Similarly, as the time since collaring increases, the contribution of the first harmonic process should diminish, such that the normal background rate can be estimated when the weight of this initial harmonic process equals 0.

Each of the three models for the accelerometer data incorporated the same exponential decay function to describe the transition (either increase or decrease) from post-collaring to pre-collaring levels of headshaking. This allowed us to calculate the predicted ‘half-life’ of the treatment effect in each model as ln(2/b), representing the time required for the treatment effect to decline to half its initial magnitude. Although the exponential process theoretically assumes headshaking never reaches its asymptote at baseline levels, we believe this model is a reasonable approximation for observed habituation since the expected difference from baseline after several half-lives is likely insignificant relative to background hourly variation. Further details are provided in S3 Code.

Results

Behavior

None of the observed changes in behaviors indicative of irritation supported our prediction of long-term adverse effects (i.e., Pre-treatment < Treatment = Post-treatment). Headshaking, however, increased significantly in frequency between the Pre-treatment (median: 0.05; CI: 0.04–0.07) and Treatment periods (median: 0.08; CI: 0.05–0.10), before declining Post-treatment to a level below the Pre-treatment baseline (median: 0.03; CI: 0.02–0.04) (Fig 2). This is consistent with a short-term effect that was detectable during the period 0–3 days post-collaring (i.e., Pre-treatment < Treatment > Post-treatment). Laying and scratching behaviors were also observed to significantly change from the Pre-treatment period. In both cases, however, the resulting behaviors declined in the Treatment and/or Post-treatment periods (Fig 2). These responses did not fit any of the expected patterns indicative of adverse effects from fitting GPS collars on oryx.

Fig 2. Estimated changes in three behaviors indicative of adverse responses to GPS collaring by scimitar-horned oryx (Oryx dammah).

Fig 2

Predicted frequencies of each behavior are represented by point estimates (Bayesian posterior medians) and credible intervals (95% CIs—thin lines; 50% CIs—thick lines) across three treatment periods (Pre-Trmt: Pre-treatment; Trmt: Treatment; Post-Trmt: Post-treatment). Vertical dashed lines represent the posterior median for each parameter during the pre-treatment period (control). Credible intervals overlapping the pre-treatment median are colored gray (non-significant difference) or black (significant difference). Open circles indicate overlap with the 50% credible interval; closed circles indicate overlap with the 95% credible interval. Summary statistics for all parameters are provided in S1 Table.

The majority of observations were comprised of behaviors not apparently related to adverse responses to collaring. Animals were most often observed with their heads raised, accounting for > 42% of all behaviors. Other behaviors, such as head down and locomotion, were also observed frequently (> 20% and > 14%, respectively). In our study, we accounted for the potential correlation of behavioral responses within 10-minute observation periods and found that many behaviors were strongly correlated. Specifically, we found that head up, headshaking, locomotion, and scratching often occurred in combination within observation periods (correlation coefficient: > 0.6; S1 Fig). These behaviors showed negative or weak positive correlations with head down or laying behaviors (correlation coefficient: < 0.3; S1 Fig). Headshaking most often occurred when animals’ heads were raised (correlation coefficient: 0.82; S1 Fig). A full summary of predicted probabilities for all behaviors across treatment periods is provided in S1 Table.

Fecal glucocorticoid metabolite concentrations

The best-fitting model for animals fitted with GPS collars was the Handling Response model (Fig 1). This model outperformed the other candidate models (provided in S1 Cross Validation). Results of this model include a baseline intercept (𝛽0 mean: 43.35 ng/g; CI: 40.60–46.24 ng/g) with a +6.59 ng/g (𝛽1) increase in the intercept on the day after animals were fit with GPS collars (k1), resulting in a FGM concentration of 49.94 ng/g (CI: 35.01–61.85 ng/g) during the treatment period. We estimated k2, the day in which FGM concentrations returned to pre-treatment levels, as 5.03 days (CI: 2.36–9.81) from the date in which a rise in circulating FGMs was first detected (Fig 3). Estimated parameters and predicted responses from each model are included in S1 Cross Validation.

Fig 3. Best-fit piecewise regression models predicting fecal glucocorticoid metabolites (FGM) in captive scimitar-horned oryx (Oryx dammah).

Fig 3

Treatment (A) and Control (B) animals displayed, representing animals fit with GPS collars (treatment) and those that were not (control). Treatment animals were observed to have a handling response, while Control animals exhibited no response. 95% posterior credible intervals represented by shaded area. Stress response is time lagged (Day 1—dashed vertical line).

Control animals exhibited stable levels of FGMs across the study period (Fig 3), with no noticeable increase in metabolized hormones during animal handling activities. The ‘No Response’ model outperformed all other candidate models for control animals. Mean FGM concentration across the study period was 43.95 ng/g (CI: 39.42–48.43 ng/g). Parameter estimates from each of the models fit to control animals are included in S2 Cross Validation.

Activity

Animals (n = 4) were monitored with tri-axial accelerometers for 28–40 days, providing detailed information on the activity of each animal fitted with a GPS collar. Random forest models were used to classify animal behaviors (feeding, headshaking, resting, and locomotion) from the accelerometer data with a high level of accuracy (98.76% overall accuracy). Headshaking was classified with the highest accuracy (99.86%), but lowest precision (89.66%). This indicates that headshaking can clearly be identified when it occurs (i.e., headshaking has a distinct signature), but is slightly overclassified by our model. The recall rate for headshaking was 98.73%. Classification results for all behaviors are provided in S2 Table.

The harmonic model (i.e., binomial response treated as a mixture of harmonic processes) best predicted headshaking for three out of four animals fitted with Vectronic accelerometers. For the remaining animal, the day/night model (i.e., binomial response with a day/night switch) better fit the data (see S3 Cross Validation). Both models, however, captured the normal daily periodicity in headshaking, highlighting a consistent increase in headshaking during daytime hours (Fig 4).

Fig 4. Time-series models predicting headshaking activity in captive scimitar-horned oryx (Oryx dammah).

Fig 4

Each figure (A—114839, B—114426, C—114915, D—114969) represents a different animal (see Table 1). Headshaking was identified from a random forests classification of tri-axial accelerometer (8 Hz) data from Vectronic GPS collars and aggregated to an hourly count. Results show an increase in headshaking activity immediately after GPS collar fitting. Red dotted line—Binomial regression w/ negative exponential decay; Blue dashed line—Binomial regression w/ negative exponential decay + day/night switch; Green solid line—Binomial regression w/ negative exponential decay + harmonic processes. Headshaking frequency shown as a frequency as black dots. Results truncated to 100 hours for visualization. See S3 Cross Validation for full time-series predictions and estimated parameters from each individual/model.

Headshaking peaked in the hours immediately following GPS collar fitting, orders of magnitude higher than the estimated headshaking rate of a ‘recovered’ animal. Model dependent, GPS collar fitting (i.e., treatment effect) was estimated to cause a 480.54 (CI: 55.51–5068.14) to 742.10 (CI: 214.81–1197.93) percent increase in headshaking from the observed headshaking rate of a recovered individual (Table 3). Within 4 hours, however, the post-collaring increase in headshaking was estimated to have declined to half its initial magnitude (Table 3). The half-life of the treatment effect predicted by the day/night switching model was 3.16 hours (CI: 2.24–3.82) and 3.90 hours (CI: 1.70–5.36) by the harmonic model. Elevated levels of headshaking continued to be observed the day after collar fitting (Fig 4). Estimated parameters from each model and across each individual are provided in S3 Cross Validation.

Table 3. Estimated parameters from binomial regression models predicting headshaking in scimitar-horned oryx (Oryx dammah) after being fit with GPS collars.

Results summarize the joint posterior distributions across each individual (n = 4). Model 3 (Binomial regression with a negative exponential decay and a combination of harmonics) best fit the data in three out of four animals. Model 2 (Binomial regression with a negative exponential decay and a day/night switch) outcompeted the harmonic model in one of our animals. Half-life is the time (hours) required for the treatment effect (collar fitting) to decline to half its initial magnitude. Treatment Effect [(Handling Rate–Recovery Rate)/Recovery Rate * 100] is the percent increase in headshaking when comparing the rate of headshaking after being fit with GPS collars (Handling Rate) with the background rate (Recovery Rate). Model parameters and results from leave-one-out cross-validation provided in S3 Cross Validation.

  μ SD median 2.5% CI 97.5% CI
Model 1: Binomial regression w/ exponential decay 2.71 0.53 2.72 2.07 3.35
Model 2: Binomial regression w/ negative exponential decay and day/night switch 3.06 0.72 3.16 2.24 3.82
Model 3: Binomial regression w/ negative exponential decay and a combination of harmonics 3.21 1.17 3.41 1.48 5.30
  μ SD median 2.5% CI 97.5% CI
Model 1: Binomial regression w/ exponential decay 1286.97 427.25 1136.90 870.44 1988.42
Model 2: Binomial regression w/ negative exponential decay and day/night switch 721.09 345.19 747.25 215.03 1197.80
Model 3: Binomial regression w/ negative exponential decay and a combination of harmonics 2191.20 3170.55 684.14 55.39 9638.71

Discussion

Using a series of datasets and methodologies, our results demonstrate that captive scimitar-horned oryx experienced limited short-term effects after being fitted with GPS collars. Importantly, these effects subsided to pre-collaring levels within a few hours to a few days of collar fitting, most closely constituting a combination of handling (FGM analyses) and habituation (Accelerometer analyses) responses, with animals adapting to being physically restrained and adjusting to the device. Importantly, none of our analyses indicated long-term adverse effects that would have more serious animal welfare concerns. This is especially true when considering the significant benefit of using GPS collars to improve our understanding of scimitar-horned oryx ecology and inform conservation and management of the species upon reintroduction [57].

Accelerometry data showed that headshaking declined in magnitude by half every 4 hours after GPS collar fitting, pinpointing the time it takes for collaring effects to subside. In addition to the valuable information provided to wildlife researchers, these data should also assist in the ongoing discussion with the general public, providing quantitative information on the time it takes for animals to adjust to being fitted with tracking devices (see also [1317,39]). Although our sample sizes are small, our results were consistent across individuals monitored and are the first to quantify the time it takes for headshaking to return to normal levels after GPS collaring fitting. Accelerometers, however, are unable to provide pre-collaring data, underlying the importance of alternative forms of evidence. We estimated the ‘background’ rate by evaluating the contribution of the harmonic models at capturing the daily periodicity in headshaking, assumed to be a close analogue to a pre-collaring baseline.

Behavioral ethograms have been widely used to assess subtle changes in behavior over time (e.g., [35,58]). In our study, behavior observations were collected across all treatment periods, demonstrating that headshaking increased significantly after collars were fitted and decreased below pre-treatment levels during the post-treatment period. This result aligned directly with findings from our other two methodologies, even though the length of the treatment period was pre-defined, rather than estimated, in our analyses. The decline in headshaking during the post-treatment period could indicate a continued negative response to the collar, with animals shaking their heads less to limit collar movement and potential irritation. Locomotive behavior (walking/running), however, remained unchanged throughout the entire study period, as did the position of the head of animals (head up or head down) while standing/feeding, an initial concern of partners involved in the reintroduction. Other studies (e.g., [37]) have observed that collars can impede normal feeding behavior, a situation to be avoided.

Glucocorticoid analyses provided valuable information on baseline conditions that would otherwise be difficult to obtain. Successfully incorporated to investigate the effects of radio-collaring on African wild dog (Lycaon pictus, [59]), this non-invasive technique has been broadly applied to address the effects of environmental stressors on wildlife (e.g., [6062]). During the treatment period and in combination with the increase in FGM concentrations that we observed, variability across animals decreased. This is of particular note considering the large degree of variability that commonly results because of age, sex, reproductive status, and social status in FGM analyses [6367], factors unaccounted for in our analyses. Admittedly, collecting fecal samples from free-ranging populations requires substantial effort. However, if collected from known individuals, as in [61] and [68], FGM analyses offer a non-invasive means to evaluate the physiological state of animals over time that could be of great benefit to the monitoring of populations during reintroduction efforts.

Although negative effects from collars appeared to be limited in our study, there may be other indirect effects that may not be apparent for some time after devices have been fit on animals. Device-induced drag on migrating seabirds, for example, may result in increased energy expenditure and result in a loss in body condition and/or increased mortality risk [69,70]. In the case of reintroduced oryx, the burden of the GPS collar could be a concern if it incurs an additional energy cost to the animal, especially as animals acclimate to their new surroundings. Rasiulis et al. [71] suggest that even a small additional weight of a tracking device may adversely affect individuals that may already be experiencing declines in body condition, as would be expected upon release [72]. In our study, collars represented < 2% of the animals’ body weight, well below general guidelines [11], but still posing risks that should be considered.

Secondary effects of a lowered body condition could also include reduced rates of reproduction [7375], which would preclude the establishment of self-sustaining populations. Five of eight oryx (63%) included in our study declined in body weight over the study period, changes that were within a normal range of variation for each animal. While multiple factors could explain these weight changes (environmental conditions, individual variation, parasites), we recommend that whenever possible, researchers use standardized indices (e.g., [76]) to track the body condition of tracked individuals over long time periods and collect other metrics (e.g., changes in social hierarchies/interactions, reproductive status) that could offer insight into the effects resulting from tracking devices [39].

We recognize that most researchers are unable (both financially and logistically) to study the effects on animals once they are fit with GPS collars. Zoos, however, offer one of the few possibilities to address research questions that have the potential for direct benefit to wild populations, even if conditions do not match those of wild populations. In addition to providing insight into the potential impact of tracking devices (as in [59]), captive studies also allow for experimental control, a scenario typically impossible for most studies [36]. We encourage researchers and manufacturers to collaborate with the zoo community and appropriately test devices prior to deployment. This could identify potential problems prior to deployment, saving thousands of dollars in tagging and travel costs, and further our understanding of species-specific effects.

We worked directly with each manufacturer and were able to provide direct feedback to improve the fit of each device prior to reintroduction efforts. In six of ten animals included in this study, we noted mild to moderate rubbing on their mandibles and/or neck ridgelines, symptoms common to other studies (e.g., [20]). Two animals also had very minor wear (broken guard hairs or small spots of hair loss) along their necks. Determining a good fit is vital. Even if rubbing does not result in damage to the skin itself in relatively dry environments (as observed in Cunningham et al. In Review), regions experiencing higher precipitation may engender the growth of microorganisms between the neck and collar, potentially increasing the risk of infection if the skin were to be ruptured by wear from the collar or from scratching by the animal [21,77]. These symptoms, caused by biting flies in two reintroduced oryx at our study site in Chad in 2018, were exacerbated by the collar. In these cases, these effects were so severe that collars were remotely removed via a drop-off mechanism to reduce infection and allow the skin to heal.

As suggested by Moll et al. [78], the combination of multiple forms of evidence, as included here, allow researchers to obtain a broader view of the effects of marking individuals. For species included in reintroduction programs, where the stresses to each individual are high, it is paramount to understand the effects of devices aimed to monitor individuals before release. Our study illustrates that effects from GPS collar fitting were short-term and provided no foundation for welfare concerns. Due to the enduring question of if and how monitoring devices impact wildlife [39,77,79], we highly encourage researchers involved with wildlife tracking programs to evaluate the effects that monitoring devices have on the survival and fitness of the individuals they aim to save.

Conclusions

GPS collars have proven essential elements to an ecologist’s toolbox, vital for assessing conservation actions, and one of the only cost-effective means for evaluating the fate of every individual in reintroduction efforts, especially across large remote areas. Tracking devices, however, also have potential risks and may burden their carriers with additional stress, causing injury or even death [77]. Our study found no such animal welfare concerns from GPS collars fitted on captive scimitar-horned oryx. While we are unable to disentangle the effects of animal handling from the effects related solely to GPS collars themselves, we illustrate that significant effects in behavior, activity, and FGMs dissipate quickly after animals are fitted with a GPS collar. We encourage further investigation into the long-term effects of these revolutionary devices to the field of movement ecology, but concur with similar studies ([1417,39,80]) that find no evidence that should preclude their use.

Supporting information

S1 Code. Behavioral data and analysis.

Script and data tutorial to investigate behavioral changes observed in scimitar-horned oryx (Oryx dammah) fit with GPS collars. Data fit in a Bayesian framework, estimating the probability of each behavioral activity and based on a multinomial likelihood. Each animal was used as their own control to assess how each behavior changed across time periods (Pre-treatment, Treatment, Post-treatment).

(ZIP)

S2 Code. Fecal glucocorticoid metabolite data and analysis.

Script and data tutorial to investigate changes in fecal glucocorticoid metabolite levels in scimitar-horned oryx (Oryx dammah). Data fit in a Bayesian framework, testing various piecewise regression models to predict the response of animals fitted with GPS collars. Data split between treatment (collared) and control (non-collared) animals.

(ZIP)

S3 Code. Accelerometer data and analysis.

Script and data tutorial to quantify the short-term decline in headshaking that occurred after scimitar-horned oryx (Oryx dammah) were fitted with GPS collars. Headshaking, captured in data collected from tri-axial accelerometers, was classified by random forest models with a high degree of accuracy and precision. Data were then aggregated to an hourly time window. Competing time-series models were then used to calculate the amount of headshaking that occurred over time.

(ZIP)

S1 Table. Summary of animal behaviors across treatment periods.

Parameter estimates from a multinomial regression model predicting animal behavior before (Pre-Treatment), during (Treatment), and after (Post-Treatment) periods for scimitar-horned oryx (n = 10) fit with GPS collars. Posterior mean, median, standard deviation (SD), and 95% credible interval (CI) provided. See Table 2 for behavior category descriptions.

(DOCX)

S2 Table. Random forests classification results.

Classification accuracy, precision and recall of behaviors identified by a random forest model in the analysis of accelerometry data (8 Hz) recorded in Vectronic GPS collars fit on four (n = 4) scimitar-horned oryx (Oryx dammah).

(DOCX)

S1 Fig. Behavior correlation matrix.

Pearson’s correlation coefficients of animal behaviors identified within observation windows for captive scimitar-horned oryx (Oryx dammah). Head Up (HU), Headshaking (HDSK), Locomotion (LOCO), and Scratching (SCRATCH) most often occurred in combination with one another. Head Down (HD) and Laying (LAY) infrequently occurred in combination with these behaviors.

(DOCX)

S1 Cross Validation. Fecal glucocorticoid metabolite validation results–Treatment animals.

Leave-one-out cross-validation results from each of four (4) piecewise regression models, evaluating fecal glucocorticoid metabolites (nobs = 55) collected from scimitar-horned oryx (Oryx dammah) fit with GPS collars (Treatment). Models fit in a Bayesian framework and evaluated by summing the squared errors (SSE). The Handling Response model was identified as the best model. We ran three parallel Markov chain Monte Carlo (MCMC) chains for 400,000 iterations, discarding the first 80,000 iterations (20%) of each chain as burn-in, and thinned the remaining posterior samples (1:100) from the joint posterior distribution for each model.

(DOCX)

S2 Cross Validation. Fecal glucocorticoid metabolite validation results–Control animals.

Leave-one-out cross-validation results from each of four (4) piecewise regression models, evaluating fecal glucocorticoid metabolites (nobs = 21) collected from scimitar-horned oryx (Oryx dammah)–control animals (not fit with GPS collars). Models fit in a Bayesian framework and evaluated by summing the squared errors (SSE). The No Response model was identified as the best model. That is, this model minimized the Sum of Squared Error (noted in bold). We ran three parallel Markov chain Monte Carlo (MCMC) chains for 400,000 iterations, discarding the first 80,000 iterations (20%) of each chain as burn-in, and thinned the remaining posterior samples (1:100) from the joint posterior distribution for each model.

(DOCX)

S3 Cross Validation. Validation results for time-series models.

Leave-one-out cross-validation results evaluating three (3) time-series models fit to predict headshaking behavior in scimitar-horned oryx (Oryx dammah). Data derived from tri-axial accelerometers fit on four (n = 4) animals, recording eight activities per second (8 Hz). Headshaking was identified via random forest, an ensemble classification and regression tree. Results were aggregated to an hourly interval. Models predicting the number of hourly headshakes fit in a Bayesian framework and evaluated by summing the squared errors (SSE). The Harmonic model was identified as the best model (noted in bold) in three out of four cases. We ran three parallel Markov chain Monte Carlo (MCMC) chains for 400,000 iterations, discarding the first 80,000 iterations (20%) of each chain as burn-in, and thinned the remaining posterior samples (1:100) from the joint posterior distribution for each model. Predicted responses and estimated parameters from the joint posterior distributions are provided for each animal/model.

(DOCX)

Acknowledgments

We thank J.Kolowski and four anonymous reviewers for constructive comments that greatly improved the quality of this manuscript, the staff at the Fossil Rim Wildlife Center, C. Kochanny at Vectronic Aerospace for fielding our countless questions, and the continued professionalism of the husbandry and veterinary staff at the Smithsonian Conservation Biology Institute for assistance with immobilization procedures.

Data Availability

All relevant data are within the manuscript and its Supporting Information files.

Funding Statement

Funding for this project was provided by the Environment Agency - Abu Dhabi, the Sahara Conservation Fund, and the Smithsonian Conservation Biology Institute.

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Decision Letter 0

Edna Hillmann

5 Nov 2019

PONE-D-19-23204

Short-term effects of GPS collars on the activity, behavior, and adrenal response of scimitar-horned oryx (Oryx dammah)

PLOS ONE

Dear Dr. Stabach,

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Academic Editor´s Review:

Study area

Are the conditions of the study area in any case transferable to the African habitat the Oryx would be reintroduced? How do you expect predator presence to affect potential stress responses to GPS-collars? This, of course, is rather speculative but seems to be relevant for application GPS collars for wild animals.

Table 1 and Discussion

There was a weight loss found in 5 of 8 animals (as stated in the discussion). Can you exclude an influence of the treatment? This potential welfare risk should be discussed in more detail.

Line 159: It is not clear how long the pre-treatment and post-treatment period were. Please give more details. I assume these periods also lasted for three days? If not, please justify.

Lines 184ff: The behavioural sampling (direct observation) seems to be very short. 10 min/day? Please justify this short observation time, and if this short duration properly reflects the behaviours you were interested in. The total number of observation periods is not so relevant, more important is the observation time per animal per treatment as given in parentheses.

Line 205ff: I strongly recommend shortening the Statistic Chapters. Is it necessary to give all formulas in detail? Some of the equations resemble “standard regression”, no? If so, this section should be condensed.

Lines 267ff: I suggest deleting Fig.1 since all information is given in the text.

Line 414: There is a word missing after “In our study, XXX was fixed…”

Figure 3: I do not understand the use of this correlation matrix. How does it help to answer the research question?

Line503ff: Headshaking was analysed for both direct observation and accelerometer data. Except for validation purposes, I recommend deleting headshaking from the analysis of direct observations.

Line553: If emphasizing the application of Bayesian statistics is important, why did you choose this approach? Either explain or leave the sentence out.

Line 565: weight loss would be a welfare concern

[Note: HTML markup is below. Please do not edit.]

Reviewers’ comments:

Reviewer’s Responses to Questions

Comments to the Author

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The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Partly

**********

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: I Don’t Know

**********

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The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

**********

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PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

**********

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: Line 38: Name the two specific collars used.

Line 40: Fecal corticosterone metabolites in place of stress hormones

Line 123: Were any of the animals subjected to collars of any type prior to the research?

Line 129: Would it be a better design to use the same animals as control animals whereby the

animals are provided treatment and then measurements are done without treatment.

Line 137: Did capture require any chemical method such as tranquilizer? Please provide details.

Line 138: Please provide photo of animal within the TAMER

Line 139: Could the procedure of AI have impacted FGM readings?

Line 145: Semen collection is a standard procedure which may generate physiological stress in wildlife. It is unclear if the experimental design for testing the effects of GPS collaring is correct if other procedures were done in combination and it makes it difficult to tease apart the cause-effects?

Line 175: please verify how the behaviour aspect presented in the current manuscript is different from the recent publication (BioRxiv)?

Line 251: When were the assays performed since sample collection in 2015?

Line 255: It is unclear why corticosterone instead of cortisol (a major glucocorticoid of mammals) was measured?

Line 257: Please provide the sensitivity of the RIA.

Line 267: Is this hypothesis correct if animals were sampled for semen and females were AI’ed during collaring?

Line 282: As the gut-passage time been biologically validated in the study species? Please provide a reference for the gut-passage time

**********

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Reviewer #1: No

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PLoS One. 2020 Feb 11;15(2):e0221843. doi: 10.1371/journal.pone.0221843.r002

Author response to Decision Letter 0


23 Dec 2019

Manuscript Number: PONE-D-19-23204

Title: Short-term effects of GPS collars on the activity, behavior, and adrenal response of scimitar-horned oryx (Oryx dammah)

Authors: JA Stabach, SA Cunningham, G Connette, JL Mota, D Reed, M Byron, M Songer, T Wacher, K Mertes, JL Brown, P Comizzoli, J Newby, S Monfort, P Leimgruber

Responses to Reviewer Comments

Academic Editor:

Since it was not possible to find a second reviewer for this manuscript, I asked the journal office if it is possible to review the manuscript as academic editor. Thus, I would like to provide my own recommendation together with reviewer 1, and I ask you to consider our recommendations (or argue against them).

Response: We thank both the academic editor and independent reviewer for their insightful and constructive comments which have greatly improved the quality of this manuscript. Itemized responses to each question raised are provided. We feel the main critique of the manuscript was the length of our methods section, which provided detailed descriptions of eight separate models. As a result, we have significantly shortened these sections, where possible. This was difficult for the time series analyses, because the models provided are custom non-linear functions. We have also clarified the complexities of our study and emphasized the difficulties associated with disentangling GPS collaring effects from capture effects.

Academic Editor Comments:

Study area

Are the conditions of the study area in any case transferable to the African habitat the Oryx would be reintroduced?

Response: No. Habitats are different between our study area (temperate, managed pasture) and our reintroduction site (Sahelian grassland). We, however, do not aim to make comparisons of survivability across these different systems. Instead, we focus only on short-term effects that potentially occur from GPS collar fitting, with inference towards the length of time it takes for observed effects to subside. We have been cautious to not overstate the inference from our study, providing comments in our Discussion which highlight our limited sample size (page 29, line 601), draw attention to the fact that “conditions do not match those of wild populations (page 31, line 655), and note that effects to oryx “may not be apparent for some time after devices have been fit on animals” (page 30, line 634). Throughout our Discussion we urge further research into this topic, with a focus on longer term assessments.

How do you expect predator presence to affect potential stress responses to GPS-collars? This, of course, is rather speculative but seems to be relevant for application GPS collars for wild animals.

Response: This is an important question and one we (and others) are keenly interested in. To our knowledge, however, no study exists to address this issue. Most researchers do try to match the color of the belting with the coat pattern of the species of interest, but it is unclear if this actually helps or hinders an animals’ ability to avoid predators. We feel this to be a very valid question, but one that we do not have data to answer.

Table 1 and Discussion:

There was a weight loss found in 5 of 8 animals (as stated in the discussion). Can you exclude an influence of the treatment? This potential welfare risk should be discussed in more detail.

Response: Good point. From speaking with our animal husbandry team, the observed changes in weight are not out of the ordinary and could be the result of many factors (environmental conditions, individual variation, social factors, parasites). Important is that the changes observed over the short time period of our study did not signal any concerns amongst the team, even animal (114969) that is noted with a 11.8 kg decline in weight over the study period.

In addition, we performed a sign test (Kitchens, 2003) on the observed sample of changes in body weight. We were unable to reject (p = 0.2188) the null hypothesis that a new observation would be equally likely to be positive or negative. Given our limited sample, this result does not necessarily mean collaring did not affect body weight, but does indicate that weight loss in 5 of 8 individuals does not provide sufficient evidence to conclude that there was an effect.

We have edited the text slightly in the Discussion (Page 31, Line 649), which focuses on the importance of collecting information on body condition over longer periods to evaluate potential long-term consequences of GPS collars.

Page 31, Line 645: Five of eight oryx (63%) included in our study declined in body weight over the study period, changes that were within a normal range of variation for each animal. While multiple factors could explain these weight changes (environmental conditions, individual variation, parasites), we recommend that whenever possible, researchers use standardized indices (e.g., [75]) to track the body condition of tracked individuals over long time periods and collect other metrics (e.g., changes in social hierarchies/interactions, reproductive status) that could offer insight into the effects resulting from tracking devices [38].

Reference for sign test:

Kitchens, L J.(2003). Basic Statistics and Data Analysis. Duxbury.

Line 159: It is not clear how long the pre-treatment and post-treatment period were. Please give more details. I assume these periods also lasted for three days? If not, please justify.

Response: We agree this is confusing, as there are multiple monitoring periods for each of the separate analyses, with difficulties associated with collecting samples from each individual on every occasion. We have updated Table 1, editing the column named ‘Monitoring Period (Days)’ to ‘GPS Monitoring Period (Days)’, better conveying that this period relates only to the time period in which animals were fitted with GPS collars. We also removed the days listed for animals that served as controls for the FGM analyses (animal 113204, 114427, and 114968), since these animals were not fitted with collars. On page 10 (line 191), we updated the number of observations within each treatment period to convey the number of days that animals were monitored. The average number of observations per individual, with standard deviations, provides an assessment of sample size per observation periods, and underlies important items in our analyses which account for repetitive measures, random effects, and unequal samples sizes across treatment periods (Now noted on page 12, line 224, and included in Appendix S1).

Page 10, Line 197: Behavioral data were collected for a total of 198 observation periods (Pre-treatment (17 days) = 55 periods [5.5 ± 3.1 per individual]; Treatment (4 days) = 30 periods [3.0 ± 0.8 per individual]; Post-treatment (22 days) = 113 periods [11.3 ± 4.7 per individual]). ]).

Lines 184ff: The behavioural sampling (direct observation) seems to be very short. 10 min/day? Please justify this short observation time, and if this short duration properly reflects the behaviours you were interested in. The total number of observation periods is not so relevant, more important is the observation time per animal per treatment as given in parentheses.

Response: We have now edited this section extensively, clarifying the number of behavioral periods, the number of behavioral observations per individual, and the total number of behaviors we observed. Despite the short duration of each observation period, inference about treatment effects was based on roughly 8,000 total behaviors observed from almost 200 observation periods. The sampling methodology used is a standard, validated focal sampling technique (i.e., Altmann, 1974) to identify changes in behavioral over time and has been widely used over the past few decades. We chose a simplified set of behaviors to monitor (6 in total), which mirror behaviors derived from Packard et al., (2014), are consistent with studies investigating collaring effects (i.e., Durnin et al., 2004; Nussberger & Ingold, 2006), and fit with our research objectives (i.e., Is the animal feeding more or less during the treatment period? Is the animal spending more time lying down? Has locomotion been curtailed? Does the animal tend to eat more or less with their head up or down? Do we see increases in potential irritation behaviors?). All of these questions can be addressed using the methodology we adopted.

Altmann J. (1974) Observational study of behavior: sampling methods. Behaviour, 49, 227–67.

Durnin M.E., Swaisgood R.R., Czekala N., & Hemin Z. (2004) Effects of radiocollars on giant panda stress-related behavior and hormones. Journal of Wildlife Management, 68, 987–992.

Nussberger B. & Ingold P. (2006) Effects of radio-collars on behaviour of alpine chamois Rupicapra rupicapra rupicapra. Wildlife Biology, 12, 339–343.

Packard J.M., Loonam K.E., Arkenberg C.R., Boostrom H.M., Cloutier T.L., Enriquez E.J., Eyres A., Haefele H., Salzar T.R., Smultea M.A., & Snodgrass K. (2014) Behavioral profiles of Africa bovids (Hippotraginae). Journal of Zoo and Aquarium Research, 2, 83–87.

This section now reads:

Page 10, Line 197: Behavioral data were collected for a total of 198 observation periods (Pre-treatment (17 days) = 55 periods [5.5 ± 3.1 per individual]; Treatment (4 days) = 30 periods [3.0 ± 0.8 per individual]; Post-treatment (22 days) = 113 periods [11.3 ± 4.7 per individual]). In total, we observed 2215 behaviors during the Pre-treatment period (221.5 ± 124.4 per individual), 1211 behaviors during the Treatment period (121.1 ± 31.6 per individual), and 4544 behaviors during the Post-treatment period (454.4 ± 188.1 per individual).

Line 205ff: I strongly recommend shortening the Statistic Chapters. Is it necessary to give all formulas in detail? Some of the equations resemble “standard regression”, no? If so, this section should be condensed.

Response: We have shortened our statistical chapters significantly, referring the reader to the appendices for further details. The time-series analyses, however, represent custom non-linear models that can’t be described by text alone. As a result, we have not changed this section.

Lines 267ff: I suggest deleting Fig.1 since all information is given in the text.

Response: We recognize the reviewer’s concern over duplicating efforts. However, from our experience, we have found it invaluable to provide a figure to explicitly describe the modeling outcomes, even when those same outcomes have been described in words. This is especially true given the international audience of PlosOne and the range in analytical skills of its readership. If not amenable to the reviewer, we will move this figure to an appendix, but feel that it provides a natural progression and further guides the reader to better understand our results, minimizing confusion of the modeling outcomes that were tested.

Line 414: There is a word missing after “In our study, XXX was fixed…”

Response: Apologies. The number of cycles per unit time, referenced as the parameter ‘’’, was inadvertently deleted from the manuscript. The text has now been updated.

Figure 3: I do not understand the use of this correlation matrix. How does it help to answer the research question?

Response: Agree. We have moved the correlation matrix to Appendix S4, as it is not central to the focus of the paper. The correlation matrix was simply meant to provide information to the reader and disentangle the behaviors that frequently occurred together. This was included as it was meant to remove potential concerns that certain behaviors would be expected to be found together.

Line503ff: Headshaking was analysed for both direct observation and accelerometer data. Except for validation purposes, I recommend deleting headshaking from the analysis of direct observations.

Response: We feel it is important to include both methods for assessing headshaking because they provide unique insights. Accelerometers provide continuous, around-the-clock information from the point of collaring onwards but behaviors are not known with 100% certainty. Unlike accelerometers, which must be fitted on animals, behavioral ethograms allow for comparison with pre-treatment baselines and behaviors are assigned with 100% certainty. These points are discussed in detail on page 29 of the Discussion (paragraphs 2 and 3).

Line 553: If emphasizing the application of Bayesian statistics is important, why did you choose this approach? Either explain or leave the sentence out.

Response: We have updated this sentence slightly, highlighting the use of a “series of datasets and methodologies” to evaluate short-term effects of GPS collars instead of focusing on the “non-standard regression models”. The application of Bayesian methods was ultimately a practical decision. While all of these analyses could have been formulated in a frequentist perspective, the final model (i.e., the harmonic model of the frequency of headshaking) would have been particularly difficult to do so. During earlier versions of this manuscript, we had formulated the piecewise regressions to evaluate FGM concentrations using frequentist methods. As expected, we found no difference in the inference between modeling methodologies. But, we decided that it made more sense for manuscript consistency to standardize the methodology used, which is why we used Bayesian methods for every model described. Both this section in the Discussion and Abstract have been updated.

Page 28, Line 586: Using a series of datasets and methodologies, our results demonstrate that captive scimitar-horned oryx experienced limited short-term effects after being fitted with GPS collars.

Line 565: weight loss would be a welfare concern

Response: Addressed above with comment made about weights provided in Table 1 and noted in the Discussion.

Reviewer #1:

Line 38: Name the two specific collars used.

Response: Details now provided.

Line 40: Fecal corticosterone metabolites in place of stress hormones

Response: Stress hormones removed.

Line 123: Were any of the animals subjected to collars of any type prior to the research?

Response: No. Information added to page 6, line 125.

Page 6, Line 125: No animal had ever before been fitted with a GPS collar.

Line 129: Would it be a better design to use the same animals as control animals whereby the

animals are provided treatment and then measurements are done without treatment.

Response: This was now been clarified. For Behavioral Observations, we observed all animals in each treatment period and accounted for repeated measurements of the same individuals using a random effect. For the Fecal Glucocorticoid Analyses, we created a control group (n=2) to separate those animals that received a collar and those that did not. Sentence updated slightly (Page 6, Line 126). These data are displayed in Table. We also state in our methods (Page 18, Line 350) that “We fit separate models were for control and treatment animals, providing a comparison with animals that were not fitted with a GPS collar but may be affected by disturbances caused during collaring related activities”. Even if we were able to isolate these control animals from the group during study activities, it could then be argued that changes to the structure of this group could then be attributed to observed changes in FGM levels. Thus, it is very difficult to differentiate these factors given logistical limitations and inherent sensitivities of the group.

Page 6, Line 126: Control animals (n=3), used as a comparison dataset for analyses of FGMs, were 7 to 18 years old.

Line 137: Did capture require any chemical method such as tranquilizer? Please provide details.

Response: Females were physically restrained without any chemical tranquilizer. Males, however, were given a mixture of etorphine (4.5 mg), medetomidine (4.5 mg), and ketamine (200 mg), administered intramuscularly via non-metal dart. This information has now been added to the Study Design and Data Collection (Page 8, Line 142 and Page 8, Line 150).

Page 8, Line 142: No chemical immobilizations were used.

Page 8, Line 150: Males were immobilized with a mixture of etorphine, medetomidine, and ketamine.

Line 138: Please provide photo of animal within the TAMER

Response: A picture of the TAMER is provided as supplemental information for the reviewer, but not meant to be included in the manuscript. We have, admittingly, poor pictures of the TAMER in action. Better pictures of the TAMER can be found on the Fauna Research Incorporated website (https://www.faunaresearch.com/).

Line 139: Could the procedure of AI have impacted FGM readings?

Response: AI injections would not impact the FGM response because they are too short-term of a stressor to register a response and because closprostenol sodium does not cross-react with the antibody used in the RIA analysis. In addition, similar to our answer below on potential confounding effects from semen collection, we are careful not to overstate our conclusions. In the Concluding paragraph (Page 33, Line 691), we state thatwe are unable to fully separate the effects of capture from those of the GPS collar. For our FGM analyses, we included 2 female scimitar-horned oryx as control animals. Neither animal received injections for AI, nor were they fitted with a GPS collar. Each animal, however, was subject to similar capture-related stress activities. Our results show that the stress of these animals remained constant over the study period (i.e., no change). Further evaluation to isolate these confounding factors (animal capture vs GPS collar) was not conducted and further work on this would be ideal. Our analyses of accelerometry, however, do clearly indicate that headshaking, a behavior that is likely only attributable to the GPS collar over a long period, increased immediately after animal capture/GPS collar fitting. Importantly, this elevated response in headshaking can still be seen in animals the day after the collars were fitted, a response most likely to the GPS collar and not the capture.

Line 145: Semen collection is a standard procedure which may generate physiological stress in wildlife. It is unclear if the experimental design for testing the effects of GPS collaring is correct if other procedures were done in combination and it makes it difficult to tease apart the cause-effects?

Response: Three male scimitar-horned oryx were included in our study, two of which were anesthetized using a combination of etorphine, medetomidine, and ketamine and subjected to electroejaculation for semen collection. The third male, 113204, was included as a control for FGM analyses. This is, admittingly, a small sample size. Together with the two female scimitar-horned oryx that were also used as controls, our results show that FGM stress levels remained unchanged across treatment periods. Disentangling the effect from capture and those that result directly from semen collection, however, is inherently difficult because one needs to capture the animal first, before you can collect semen. We are unable to find any scientific literature that separates these two effects, but since animals were anesthetized during electroejaculation, it would seem that semen collection would be a minor confounding effect. We do not, however, have any concrete data to support this claim. We have been careful throughout the manuscript to not overstate our conclusions, given the potential confounding effect with animal capture, and state explicitly in the concluding paragraph (Page 33, Line 691) that “we are unable to disentangle the effects of animal handling from the effects related solely to GPS collars themselves”. At the same time, we use multiple forms of evidence, one of which (accelerometer analysis of headshaking) is very specific to the effects of the GPS collar only. Further, while we can’t disentangle effects of the collar from effects of the capture, these items will always come as a ‘package’. Thus, the short-term effects of collaring shown in our study are then inclusive of any effects of handling (as they should be).

Line 175: please verify how the behaviour aspect presented in the current manuscript is different from the recent publication (BioRxiv)?

Response: There is no difference between the manuscript submitted here for review and the preprint that appears on BioRxiv (i.e., these documents are identical). PlosOne offered the option to publish a preprint at the time the manuscript was submitted for review.

Line 251: When were the assays performed since sample collection in 2015?

Response: Assays were performed shortly after samples were collected. The last fecal samples were collected on 18 December 2015. All assays were completed within 1-month of the last samples collected (18 January 2016). Information added to Data Collection and Processing.

Page 14, Line 271: Samples were homogenized during collection by hand to more evenly distribute hormones and decrease sample variability and assayed within 1-month of the last date of sample collection.

Line 255: It is unclear why corticosterone instead of cortisol (a major glucocorticoid of mammals) was measured?

Response: Correct. Cortisol is a major glucocorticoid hormone in mammals and is often found in higher concentrations than corticosterone. However, we used a corticosterone assay to measure glucocorticoid metabolites in the feces because little native cortisol is excreted. While some cortisol assays may detect some cortisol, the corticosterone RIA has by far the best cross reactivity. Thus, we measured the excreted metabolites using a broad spectrum corticosterone antibody. No change made to text.

Line 257: Please provide the sensitivity of the RIA.

Response: The sensitivity (1 ng/mL) of the RIA has been added to the Methods section.

Page 14, Line 277: The sensitivity of the assay is 1 ng/mL

Line 267: Is this hypothesis correct if animals were sampled for semen and females were AI’ed during collaring?

Response: Please see responses regarding semen collection and AI during collaring provided above. Semen collection and/or AI would not be expected to impact fecal glucocorticoid analyses.

Line 282: As the gut-passage time been biologically validated in the study species? Please provide a reference for the gut-passage time

Response: Apologies. Reference were provided in the text, but not included in the text of the Figure. We have now added Warner 1981, which isn’t specific to scimitar-horned oryx, but does provide examples from a variety of ruminants that would be expected to have similar retention times as oryx (~ 1 day). Figure and text now updated with:

Schwarzenberger F. The many uses of non-invasive faecal steroid monitoring in zoo and wildlife species. Int Zoo Yearb. 2007;41: 52–74. doi:10.1111/j.1748-1090.2007.00017.x

Hodges K, Brown J, Heistermann M. Endocrine Monitoring of Reproduction and Stress. In: Kleiman DG, Thompson K V., Kirk Baer C, editors. Wild Mammals in Captivity: Principles and Techniques for Zoo Management. Chicago: University of Chicago Press; 2010. pp. 447–468.

Warner, A.C.I. 1981. Rate of passage of digesta through the gut of mammals and birds. Nutrition Abstracts and Reviews. 51(12): 789-820.

Attachment

Submitted filename: Stabach_etal_ReviewerComments.docx

Decision Letter 1

Edna Hillmann

22 Jan 2020

Short-term effects of GPS collars on the activity, behavior, and adrenal response of scimitar-horned oryx (Oryx dammah)

PONE-D-19-23204R1

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Acceptance letter

Edna Hillmann

31 Jan 2020

PONE-D-19-23204R1

Short-term effects of GPS collars on the activity, behavior, and adrenal response of scimitar-horned oryx (Oryx dammah)

Dear Dr. Stabach:

I am pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

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Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Code. Behavioral data and analysis.

    Script and data tutorial to investigate behavioral changes observed in scimitar-horned oryx (Oryx dammah) fit with GPS collars. Data fit in a Bayesian framework, estimating the probability of each behavioral activity and based on a multinomial likelihood. Each animal was used as their own control to assess how each behavior changed across time periods (Pre-treatment, Treatment, Post-treatment).

    (ZIP)

    S2 Code. Fecal glucocorticoid metabolite data and analysis.

    Script and data tutorial to investigate changes in fecal glucocorticoid metabolite levels in scimitar-horned oryx (Oryx dammah). Data fit in a Bayesian framework, testing various piecewise regression models to predict the response of animals fitted with GPS collars. Data split between treatment (collared) and control (non-collared) animals.

    (ZIP)

    S3 Code. Accelerometer data and analysis.

    Script and data tutorial to quantify the short-term decline in headshaking that occurred after scimitar-horned oryx (Oryx dammah) were fitted with GPS collars. Headshaking, captured in data collected from tri-axial accelerometers, was classified by random forest models with a high degree of accuracy and precision. Data were then aggregated to an hourly time window. Competing time-series models were then used to calculate the amount of headshaking that occurred over time.

    (ZIP)

    S1 Table. Summary of animal behaviors across treatment periods.

    Parameter estimates from a multinomial regression model predicting animal behavior before (Pre-Treatment), during (Treatment), and after (Post-Treatment) periods for scimitar-horned oryx (n = 10) fit with GPS collars. Posterior mean, median, standard deviation (SD), and 95% credible interval (CI) provided. See Table 2 for behavior category descriptions.

    (DOCX)

    S2 Table. Random forests classification results.

    Classification accuracy, precision and recall of behaviors identified by a random forest model in the analysis of accelerometry data (8 Hz) recorded in Vectronic GPS collars fit on four (n = 4) scimitar-horned oryx (Oryx dammah).

    (DOCX)

    S1 Fig. Behavior correlation matrix.

    Pearson’s correlation coefficients of animal behaviors identified within observation windows for captive scimitar-horned oryx (Oryx dammah). Head Up (HU), Headshaking (HDSK), Locomotion (LOCO), and Scratching (SCRATCH) most often occurred in combination with one another. Head Down (HD) and Laying (LAY) infrequently occurred in combination with these behaviors.

    (DOCX)

    S1 Cross Validation. Fecal glucocorticoid metabolite validation results–Treatment animals.

    Leave-one-out cross-validation results from each of four (4) piecewise regression models, evaluating fecal glucocorticoid metabolites (nobs = 55) collected from scimitar-horned oryx (Oryx dammah) fit with GPS collars (Treatment). Models fit in a Bayesian framework and evaluated by summing the squared errors (SSE). The Handling Response model was identified as the best model. We ran three parallel Markov chain Monte Carlo (MCMC) chains for 400,000 iterations, discarding the first 80,000 iterations (20%) of each chain as burn-in, and thinned the remaining posterior samples (1:100) from the joint posterior distribution for each model.

    (DOCX)

    S2 Cross Validation. Fecal glucocorticoid metabolite validation results–Control animals.

    Leave-one-out cross-validation results from each of four (4) piecewise regression models, evaluating fecal glucocorticoid metabolites (nobs = 21) collected from scimitar-horned oryx (Oryx dammah)–control animals (not fit with GPS collars). Models fit in a Bayesian framework and evaluated by summing the squared errors (SSE). The No Response model was identified as the best model. That is, this model minimized the Sum of Squared Error (noted in bold). We ran three parallel Markov chain Monte Carlo (MCMC) chains for 400,000 iterations, discarding the first 80,000 iterations (20%) of each chain as burn-in, and thinned the remaining posterior samples (1:100) from the joint posterior distribution for each model.

    (DOCX)

    S3 Cross Validation. Validation results for time-series models.

    Leave-one-out cross-validation results evaluating three (3) time-series models fit to predict headshaking behavior in scimitar-horned oryx (Oryx dammah). Data derived from tri-axial accelerometers fit on four (n = 4) animals, recording eight activities per second (8 Hz). Headshaking was identified via random forest, an ensemble classification and regression tree. Results were aggregated to an hourly interval. Models predicting the number of hourly headshakes fit in a Bayesian framework and evaluated by summing the squared errors (SSE). The Harmonic model was identified as the best model (noted in bold) in three out of four cases. We ran three parallel Markov chain Monte Carlo (MCMC) chains for 400,000 iterations, discarding the first 80,000 iterations (20%) of each chain as burn-in, and thinned the remaining posterior samples (1:100) from the joint posterior distribution for each model. Predicted responses and estimated parameters from the joint posterior distributions are provided for each animal/model.

    (DOCX)

    Attachment

    Submitted filename: Stabach_etal_ReviewerComments.docx

    Data Availability Statement

    All relevant data are within the manuscript and its Supporting Information files.


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