Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 Contents lists available at SciVerse ScienceDirect Journal of Experimental Marine Biology and Ecology journal homepage: www.elsevier.com/locate/jembe Testing an autonomous acoustic telemetry positioning system for fine-scale space use in marine animals Zy Biesinger a,⁎, Benjamin M. Bolker b, Douglas Marcinek a, Thomas M. Grothues c, Joseph A. Dobarro c, William J. Lindberg a a b c Program in Fisheries and Aquatic Sciences, University of Florida, 7922 NW 71st Street, Gainesville, FL 32653 USA Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4K1, Canada Institute of Marine and Coastal Sciences, Rutgers, The State University of New Jersey, 800 c/o 132 Great Bay Boulevard, Tuckerton, NJ 08087-2004, USA a r t i c l e i n f o Article history: Received 31 December 2012 Received in revised form 6 June 2013 Accepted 9 June 2013 Available online xxxx Keywords: Acoustic telemetry Autonomous positioning Autonomous underwater vehicle Long-term tracking Telemetry capabilities Telemetry limitations a b s t r a c t We tested the capabilities and limitations of a novel autonomous acoustic positioning telemetry system with data from fifteen field deployments off the Florida coast. Telemetry array coverage areas ranged between 100 and 300 m across. For fixed transmitters within the array, the fraction of transmissions leading to high-quality calculated position estimates averaged 44%, with wide variation. Positional accuracy was about 2 m. The choice of filtering strictness represented a trade-off between the accuracy and frequency of positions. There was substantial temporal variation, but no clear pattern (e.g., daily or tidal correlations) in frequency of positions. There was no spatial bias within the array. Array performance for stationary transmitters was robust to user errors in sound speed and hydrophone position estimates. Performance was less robust for a transmitter attached to an autonomous underwater vehicle moving through the array, with 22% of transmissions leading to position estimates. Overall the system produced reliable results, but as the use of acoustic telemetry in complex ecological studies increases it is important to recognize technological requirements and limitations. © 2013 Elsevier B.V. All rights reserved. 1. Introduction The need to understand complex space-use, behavioral, and ecological processes of animals in challenging aquatic systems is driving the development of novel acoustic telemetry technologies (Espinoza et al., 2011b; Lucas and Baras, 2000; Niezgoda et al., 2002; O'Dor et al., 1998). New positioning telemetry systems allow data collection at finer scales, over larger areas and longer times, and in less accessible locations than ever before (Andrews et al., 2011; Hanson et al., 2007; Parsons et al., 2003; Voegeli et al., 2001). Such detailed data enhance our ability to address complex ecological questions and are particularly important as spatial management tools (e.g., design of marine protected areas) are increasingly used to manage exploited species (Cooke et al., 2005; Feary et al., 2011). Though acoustic telemetry technologies are powerful tools, their proper use requires an understanding of their requirements and limitations. This is especially true for positioning telemetry arrays, which provide fine-scale animal position estimates. Some active acoustic technologies require animals to be captured and fitted with acoustic tags, which allow the measurement of specific individuals' behavior (Heupel et al., 2006). In addition to uniquely identifying individuals, tags can report a wide range of environmental, ⁎ Corresponding author at: Department of Fisheries and Wildlife, Oregon State University, Nash Hall, Room 104, Corvallis, OR 97331, USA. Tel.: +1 541 737 1859; fax: +1 541 737 3590. E-mail address: [email protected] (Z. Biesinger). 0022-0981/$ – see front matter © 2013 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.jembe.2013.06.007 physiological, and behavioral data (Carey and Lawson, 1973; Wolcott, 1995). Tagged individuals can be manually located with a directional hydrophone (Collazo and Epperly, 1995; Johnson et al., 2009; Zeller, 1999) giving position estimates. Tag detections by an omnidirectional hydrophone can be interpreted as presence/absence data or as position estimates with error around the position determined by the detection capability of the receiver (Clements et al., 2005; Heupel et al., 2004). Some work has been done using presence/absence information from multiple hydrophones and calculating two- and three-dimensional short-term center of activity locations, but not precise location estimates at a single time (Heupel et al., 2012; Simpfendorfer et al., 2012; Simpfendorfer et al., 2002). In contrast, with acoustic positioning telemetry, when a particular tag transmission is received by at least three hydrophones, the twoor three-dimensional position solution can be calculated to within a few meters or less (Bergé et al., 2012; O'Dor et al., 1998; Voegeli et al., 2001), using differences in the times a single transmission arrives at multiple hydrophones (e.g., hyperbolic trilateration, Niezgoda et al., 2002). This technology requires the important distinction between a transmission's detection by individual hydrophones and its calculated position solution when detected by at least 3 hydrophones. In most instances, positioning telemetry can provide precise position estimates more often and for longer periods than manual tracking, allowing for finer scale movement and habitat use studies (Espinoza et al., 2011a). The advantages of positioning arrays come with the extra requirements of very precise clock synchronization (typically achieved by Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 continuous cable or radio communication), enough hydrophones to cover the geographic scale of interest, accurate position estimates of each hydrophone, and an estimate of sound speed. Though all acoustic technologies are affected by the aquatic acoustic environment and deployment details, positioning telemetry technologies are particularly susceptible to noise, acoustic conditions, and user errors (Bergé et al., 2012; Cote et al., 1998; Heupel et al., 2006; O'Dor et al., 1998; Welsh et al., 2012). New positioning telemetry systems, for example the Lotek Wireless© WHS 3050 MAP (Cooke et al., 2005; Cote et al., 1998; Niezgoda et al., 2002) or Vemco© VPS (Andrews et al., 2011; Espinoza et al., 2011b) use autonomous hydrophones, stationary beacon tags, and post-deployment positioning software, instead of continuous communication, to compensate for clock differences. In these systems, autonomous hydrophones potentially allow arrays to be deployed over larger areas and in deeper waters than traditional communicating positioning systems, without surface or shore exposure. Positioning telemetry has been used to study animal space and habitat use in many settings (Bégout and Lagardère, 1995; Hanson et al., 2007; Klimley et al., 2001; Semmens, 2008). The added sophistication of positioning telemetry, especially autonomous systems, necessitates a clear understanding of system requirements and limitations in order to correctly interpret telemetry output. Post-processing computation produces metrics of the quality, or accuracy, of each calculated position solution, allowing users (e.g., of Lotek© systems) or the manufacturer (e.g., of Vemco© or HTI© systems) to filter telemetry output (Cooke et al., 2005; Hanson et al., 2007; Niezgoda et al., 2002). Studies using positioning systems have reported accuracies of 2 m or better (Cooke et al., 2005; Cote et al., 1998; Espinoza et al., 2011b; Niezgoda et al., 2002; O'Dor et al., 1998; Semmens, 2008). The reported fraction of tag transmissions resulting in reliable position solutions varied between 4 and 75%, depending heavily on the acoustic environment, tag strength, array geometry, and array spacing (Brown et al., 2010; Cooke et al., 2005; Geraldi and Powers, 2011; Niezgoda et al., 2002). Few studies have purposefully evaluated positioning telemetry system performance, e.g., the fraction or accuracy of position solutions (Bergé et al., 2012; Ehrenberg and Steig, 2002; Espinoza et al., 2011b), temporal and spatial variations in system performance, or the effects of user input errors on performance. The degree of temporal variability in array performance is expected to reflect the array's susceptibility to temporal changes in acoustically important environmental variables, for example, temperature, salinity, weather and sea state, or water stratification. Spatial variation is expected to reflect performance differences due to array deployment geometry. In 7 steps, we evaluated Lotek's© autonomous positioning system for several stationary and one moving transmitter. (1) We calculated the overall fraction and temporal variability of transmissions detected by single hydrophones at different distances. This can be done without deploying an entire array and aids in initial array design (Cooke et al., 2005). (2) We calculated the overall fraction and temporal variability of the fraction of transmissions resulting in position solutions with the array deployed at different spacings, and explored the interaction between data filtering and position solution accuracy. Detection and position solution fractions from our large datasets may be suggestive of position solution probabilities in future animal studies. (3) We estimated position solution accuracy of filtered data. (4) We described the spatial variation in the fraction and accuracy of position solutions. (5) We calculated the impact of sound speed changes (e.g., due to changing water temperature) or estimation errors on position solution fraction and accuracy. (6) We calculated the effect of errors in hydrophone position estimates on position solution fraction and accuracy. Using data from one transmitter attached to an Autonomous underwater vehicle, (7) we calculated the overall fraction of transmissions resulting in position solutions and position solution accuracy and calculated the impact of sound speed changes and errors in hydrophone 47 position estimates on position solution fraction and accuracy. Results presented here using tags of known position, complement array performance using tags implanted in fish, and thus of unknown position, described in Biesinger et al. (2013). 2. Materials and methods 2.1. Study system This study was conducted 30 km off the Florida coast in the Gulf of Mexico in 13 m of water, where the seafloor was characterized by a mix of low-relief hard-bottom and sand-bottom habitats (Parker et al., 1983). Hard-bottom was characterized by emergent limestone often covered with a veneer of sand and shell rubble, and typically sustained low algal, sponge, and soft-coral growth less than 0.5 m tall. Sand-bottom was characterized by deeper, bare sand. Part of the Steinhatchee Fisheries Management Area, our experimental, artificial reef system (Fig. 1) consisted of clusters of four, immediately adjacent, hollow cement hemispheres about 1 m tall, with holes allowing fish access to the interior. Each reef cluster had a 4 m2 footprint. Each telemetry array deployment centered on a single reef, with no others within the array. Smaller experimental reefs in the system consisted of single cement hemispheres. All locations had relatively little turbulence from wave action or boat traffic, and no other structures, e.g., docks or hardened shorelines. We continuously measured water temperature with an Acoustic Doppler Current Profiler (ADCP, Teledyne RDI© Workhorse Sentinel, 600 kHz) approximately 1 km away. 2.2. Telemetry system: transmitters, hydrophones, and software 2.2.1. Transmitters We used uniquely coded Lotek© 76 kHz transmitters of two basic types: tags, normally attached to animals, with (MA-TP16-25, 2 s interval, transmission length: 250 ms, 156 dB re 1 μPa at 1 m) and without temperature and pressure sensors (MA-16-25, 2 s interval, transmission length: 250 ms, 156 dB re 1 μPa at 1 m), and stationary beacons, used for clock synchronization, with (MA-TP16-50, 20 s interval, transmission length: 250 ms, 156 dB re 1 μPa at 1 m) and without temperature and pressure sensors (MA-16-50, 20 s interval). The MAP system uses a code-division-multiple-access (CDMA) scheme encoding information in waves that are extracted from a noise carrier signal based on correlation; it does not require time sharing of the acoustic channel and is therefore very robust against code collision and noise interference (Niezgoda et al., 2002). Because of this, the timing among signals can be and is invariant to 0.00001 s, in contrast to other common coding schemes such as pulse interval coding (PIC) that randomize transmission intervals (Grothues, 2009). Each complete transmission, termed a symbol, lasts on the order of milliseconds and is comprised of three codes, short acoustic bursts conveying ID and, optionally, sensor data. The duration of a complete symbol, or one of its constituent codes, is always short relative to the time that even a fast fish can move a single body length. Although these tags supported sensors, those data are not used to evaluate system performance and we do not report it here. 2.2.2. Hydrophone array We used an array of five autonomous submersible dataloggers (Lotek© WHS 3050 MAP, 76 kHz), which we call hydrophones, each consisting of an actual omnidirectional hydrophone, a receiver, a datalogger, and a battery pack. Each hydrophone unit was mounted about 2 m above the seafloor using either posts driven into the underlying rock (for deployments lasting longer than a day) or temporary, weighted posts with a surface buoy adding vertical stability and independent GPS position estimates. All array deployments used the same basic geometry: a central hydrophone 10 m northeast 48 Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 Fig. 1. Map of locations of experimental, artificial reef system in the northeastern Gulf of Mexico. Each reef consisted of 1 or 4 hollow cement hemispheres about 1 m tall, with holes allowing fish access to the interior. Each telemetry array deployment centered on a single 4-unit reef, with no others within the array. of the reef and four hydrophones set a given distance in each of the cardinal directions. Depending on the deployment, the outer hydrophones were 50 to 150 m from the reef. Beacons were suspended 0.5 m above the hydrophone and attached via monofilament line and a float. Prior to deployment, hydrophones must be set to record receptions in symbol or code mode. Symbol mode saves only completely detected symbols (i.e., all three codes of a single transmission). Code mode saves individual codes, making it possible to sometimes reconstruct incomplete symbols (e.g., only one or two codes) in a process called Partial Symbol Reconstruction (PSR). PSR is facilitated within the native software (Section 2.2.3) by checking the timing of isolated codes from incomplete symbols against their earlier or subsequent occurrence in complete symbols and works because of the precise clock and invariant transmission timing. This potentially has important consequences to performance in marginal acoustic conditions because it requires that only one third of a signal be logged by at least 3 hydrophones. To estimate hydrophone positions on the seafloor, we attached a Garmin GPS 76 (2 m accuracy, recording every 5 s) to a rod rising 1 m above a surface buoy tied tautly to the seafloor, so that the buoy submerged below, and the GPS remained above the wave action. Held in place for 5 min, the mean of 100 recorded GPS positions became the hydrophone position estimate. With accurate hydrophone position estimates the array should be capable of calculating positions with about 1 m accuracy within the array (Cooke et al., 2005; Niezgoda et al., 2002). Because of deployment geometry, the details of trilateration, and the discretization of time by hydrophones, if a transmitter moves outside the perimeter of a circular array, positional accuracy drops drastically. Moving outside the array essentially reduces the available information to presence/absence or general direction and distance (Simpfendorfer et al., 2002), and temperature, and depth, but not an accurate position solution (Cooke et al., 2005; Cote et al., 1998). 2.2.3. Positioning software: ALPS At the end of a deployment, Lotek's© positioning software, the Asynchronous Logger Positioning System (ALPS, version 2.18), combined hydrophone GPS position estimates, a sound speed estimate, and detection records from all five hydrophones to calculate each transmitter's two-dimensional position solutions. It is useful to distinguish a detection by a single hydrophone from a position solution calculated by ALPS using detections from three or more hydrophones (Cote et al., 1998; Lagardère et al., 1990). The use of multiple beacons during array deployments was primarily a redundancy to ensure clock drift compensation during post-processing; only one beacon was required to process data through ALPS. However, during an animal movement study, temporal and spatial variations in the number of position solutions calculated for beacons could be used to account for some of the variation in animal tag position solutions. ALPS produced a time-series of Easting–Northing position solutions, including sensor data if available, and several quality metrics (Cooke et al., 2005; Hanson et al., 2007; Niezgoda et al., 2002). One metric from the matrix algebra underlying ALPS calculations, the condition number (CN) also called the error amplification factor, describes the stability or sensitivity of the position solution matrix. High CN values suggest less reliability in the matrix calculation. With data collected in code mode, ALPS could run without performing PSR, i.e., only complete symbols produced position solutions. Alternatively, ALPS could use PSR to reconstruct the transmitter ID of partially detected symbols, though sensor data were lost. To compare data collected in different modes, note that results from code mode without PSR are equivalent to results from symbol mode. Except where noted, results include PSR. We used R (R Core Development Team, 2012) for filtering and further calculations of ALPS output, as described below. Telemetry data and R scripts to reproduce all figures are in Supplementary Files 1 and 2. 2.3. Field deployments To test array performance we conducted one detection trial between one transmitter and one hydrophone, three trials testing the array at different spacings, two trials testing spatial variation in performance within the array, and nine fish tagging studies, all summarized in Table 1 and described in Supplementary File 3. Here we report results from stationary transmitters. 2.4. System performance 2.4.1. Detection fraction The probability of a transmission producing a position solution is directly related to the (non-independent) probabilities of detection by at least three hydrophones, which, in turn, depend on the distance between the transmitter and each hydrophone. To characterize the detection probabilities, for each transmitter–hydrophone pair we calculated how the overall detection fraction (# detections per # transmissions) varied with distance. Acoustic transmission through water is affected by temperature, salinity, sea state, or water stratification. To explore how detection fractions varied through time, reflecting changes in the acoustic environment, we examined the detection fraction for each deployment hour. We did not measure salinity or sea state, or identify any stratification events. 2.4.2. Position solution fraction Data from Deployments A and C–O were used to examine how the fraction of position solutions (# position solutions per # transmissions) was affected by array spacing (Table 1). Using independent GPS transmitter position estimates, we explored the utility of CN. For each transmitter we examined the number of position solutions below various CN values. We examined the relationship between the Northing locations of position solutions and their associated CN values, relative to the GPS Northing estimate. From these analyses, we examined a range of filtering strategies and report two extremes: no filtering and stringent filtering (only keep solutions with CN b 1.5). We did not apply other Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 49 Table 1 Array deployment details. Deployment Dates A B Cd D E F G H I J K L M N O 2007 2008 2008 2009 2009 2009 2009 2009 2009 2009 2009 2009 2009 2009 2009 a b c d Dec 7–2008 Jan 15 July 22 Oct 9–Dec 7 April 23 May 7 May 7 June 1 June 3 June 1–June 17 July 10–July 27 Aug 3–Aug 20 Aug 24–Sep 8 Sep 14–Oct 1 Oct 12–Oct 27 Nov 16–Nov 30 Activity Location IDa Collection modeb Spacing (m)c Total duration Number of transmitters Fish study Detection trial Fish study Spacing trial Spacing trial Spacing trial Internal trial Internal trial Fish study Fish study Fish study Fish study Fish study Fish study Fish study 1 1 1 1 1 1 2 2 2 3 4 1 5 6 3 Symbol Symbol Code Code Code Code Code Code Code Code Code Code Code Code Code 50 200, 300 125 125 100 150 100 100 100 100 100 100 100 100 100 38 days 12 min 59 days 77 min 136 min 105 min 377 min 252 min 16 days 17 days 17 days 15 days 17 days 15 days 14 days 5 1 5 5 7 7 14 14 5 5 5 5 5 4 4 (hb) (hb) (hb) (hb) (hb) (hb) (hb) (hb) (hb) (sb) (sb) (hb) (sb) (hb) (sb) Each location was classified as predominantly hard-bottom (hb) or sand-bottom (sb). Hydrophone setting for data collection mode. Spacing between central and marginal hydrophones, except Deployment B which was spacing between a single hydrophone and transmitter pair. Deployment using the AUV and a moving transmitter on 2008 Oct 10. more sophisticated techniques, e.g., filtering on two or more ALPS quality metrics (Hanson et al., 2007) or Kalman filtering (Grewal and Andrews, 2008). In this study, except where noted, results represent stringently filtered data. Position solutions from Deployment A, collected in symbol mode, were not augmented by PSR. To compare these results with PSR results, using Deployments I-O, we calculated the percent increase in position solution fractions from non-PSR to PSR for each transmitter, then calculated the mean percent increase. For Deployment A, we increased each position solution fraction by the overall mean percent increase. Finally, we examined how the hourly position solution fraction varied through time. 2.4.3. Position solution accuracy Assessing position solution accuracy was complicated by the difficulty of making accurate, independent estimates of hydrophone and transmitter positions on the seafloor. We used two approaches to assess accuracy. First, using data from Deployments A and C–O (beacons only from Deployments G and H), we compared mean ALPS position solutions of each transmitter with independent estimates made using GPS buoys. This approach cannot separate the errors of each positioning method. Second, we used successive position solutions of a transmitter to form a cloud of Easting–Northing locations where the centroid is the mean position solution. Tighter clouds suggest higher accuracy of individual position solutions. We examined the consistency of position solutions through time by calculating the range of the central 90% of solutions along the Northing axis. This approach can reveal temporal variation in accuracy but not systematic biases. 2.4.4. Spatial variation The geometry defined by a transmitter and the hydrophones may affect the accuracy and probability of producing a position solution (Cote et al., 1998; Niezgoda et al., 2002). To map spatial variation in position solution fractions within the array, using data from Deployments G and H, we calculated the position solution fractions of 14 transmitters periodically moved to 63 different locations within the array. Because transmitters were not at all 63 locations simultaneously, spatial variation is confounded with temporal variation in aquatic acoustic conditions, for example changes in water flow or sea state. The impacts of such temporal changes are not well described. Nevertheless, strong systematic spatial bias should be discernible, if present. 2.4.5. Sound speed The speed of a single transmission through water affects the differences in arrival times at each hydrophone (Niezgoda et al., 2002). When processing data through ALPS, only one sound speed can be specified, even though temporal changes or spatial differences in environmental conditions, such as water temperature, will change the actual sound speed. In our system water conditions are generally spatially homogeneous. To evaluate the effect of temporal sound speed changes or estimation errors on the probability and accuracy of position solutions, we examined data from the four beacons of Deployment K, which experienced a relatively constant temperature (29.9 to 31.6 °C). We calculated the nominal speed of sound in water (1545 m s−1 at 30 °C; Wilson, 1960). We also calculated the sound speeds corresponding to 20, 25, 35, and 40 °C and ran ALPS once for each of the five sound speeds (1521, 1533, 1545, 1554, 1562 m s−1). We calculated the change in position solution fractions and the displacement of the mean position solution location for each beacon. 2.4.6. Hydrophone positions To evaluate the impact of errors in hydrophone GPS position estimates (i.e., researchers recording incorrect or inaccurate GPS locations for hydrophones) on position solution fractions and mean position solutions, using the four beacons from Deployment K, we ran ALPS once using the best GPS position estimate of the central hydrophone, then five more times, artificially displacing the central hydrophone 2, 4, 6, 8, and 10 m to the east. That is, we did not physically move the hydrophone, instead we changed the position entered to the ALPS software. For each artificial displacement we calculated the change in the overall position solution fraction and the displacement of the mean position solution location for each beacon. 2.5. Autonomous underwater vehicle: REMUS To assess array performance of a moving transmitter, at the beginning of telemetry array Deployment C on 10 Oct 2008, we attached a sensor tag to the underside of a propeller-driven autonomous underwater vehicle (AUV, REMUS-100, Hydroid, Inc., Pocasset, MA, 36 kg, 1.6 m length, 0.2 m diameter). The AUV navigated itself by computing its range to two acoustic transponders, thus vehicle navigation accuracy depended upon the accuracy of transponder placement relative to positions specified during mission planning. Transponders were deployed on weighted/buoyed lines from the boat using the Garmin 76 with 2 m accuracy. Prior to deployment, the AUV was set to follow a course at a constant depth of 9 m that passed through the array along a linear path, then again along a path making one 125° turn. Repeating this course at 1.8 m s−1, the AUV passed through the array multiple times spending a total of almost 17 min 50 Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 within the array. While the AUV self noise and that of its sensors does not appreciably interfere with detection and decoding of even distant tags (Grothues, 2009; Grothues et al., 2010), the hull and propeller wash produce a baffling effect that could challenge detection of a tag attached directly to it by distant receivers behind it, creating a geometrical bias in the probability of simultaneous detections by opposite hydrophones and therefore trilateration. For the tag attached to the AUV, using the same data processing and filtering steps as described, we calculated the fraction of transmissions resulting in position solutions and the degree of agreement with the AUV's self-reported position estimates. As with stationary transmitters, to describe the impact of changes or errors in sound speed we calculated the speed of sound at the measured water temperature and temperatures above and below (10, 15, 20, 25, 30 °C). We ran ALPS once for each of the five corresponding sound speeds (1490, 1507, 152, 1535, and 1546 m s−1). We calculated the change in position solution fractions and examined the distributions of the differences between position solutions from the nominal sound speed and from shifted sound speeds. To describe the impact of errors in hydrophone GPS position estimates, we repeated the steps described for stationary transmitter analyses, running ALPS separately for each artificial displacement of the central hydrophone 2, 4, 6, 8, and 10 m to the east. We calculated the change in position solution fractions and examined the distributions of differences. 3. Results 3.1. Detection fraction For each transmitter/hydrophone pair we calculated the overall detection fraction (Fig. 2) and the hourly detection fractions (e.g., Fig. 3a). Given the amount of hourly variability, we identified each detection fraction as based on more or less than 6 h of data. In general, there was no consistent change in detection fraction across the distances tested. At distances between 50 and 200 m there was no clear decreasing pattern. Comparing the hourly detection fraction of one transmitter by all hydrophones (or similarly the hourly detection fraction of all transmitters by one hydrophone) during individual deployments showed that during some periods, hourly detections were uniformly high or low, while at other times there was little consistency. These temporal relationships were complicated by the spatial relationship of the hydrophones; for example, in the first 30 h of Deployment L (Fig. 3a, shaded region) there was a drop in detections of the central beacon by the central, north, and east hydrophones. In contrast, during hours 210 to 280 only the east and south hydrophones showed a drop in detections. Such patterns presumably reflect temporal changes in the spatial structure of the acoustic environment. 3.2. Position solution fraction With stringent filtering (CN b 1.5), on average 44% of transmissions resulted in position solutions for central transmitters and 13% for marginal transmitters (overall range: 0 to 94%; 4a and b). Examining the Northing location of position solutions and corresponding CN values, relative to the GPS Northing estimate (e.g., Fig. 4c and d), we found that as CN filtering values decreased, a higher percentage of remaining position solutions were accurate to 2 m or less. This analysis highlights the interplay between the choice of the desired accuracy, strictness of filtering, number of remaining position solutions, and probability that a given position solution meets that accuracy. To compare array performance during Deployment A (collected in symbol mode without PSR) with other deployments (collected in code mode with PSR), using only data from Deployments I–O we calculated the overall mean percent increase in position solution fraction due to PSR to be 527% (range: 0 to 5871%). We increased position solution fractions for Deployment A by this amount (Fig. 5). For both unfiltered and Fig. 2. Overall detection fractions (# detections per # transmissions) by individual hydrophones at various distances. Closed circles and ‘X’s represent detection fractions from deployments lasting more or less than 6 h, respectively. filtered data, wider array spacing generally showed lower position solution fractions, with shorter duration deployment showing greater variability (Fig. 5). Again, this pattern was not as strong as expected. There was substantial variation among deployments, with some wider spaced deployments performing as well as narrowly spaced deployments. This is particularly notable for central transmitters on long deployments. As expected, transmissions from within the array generally produced more high quality position solutions than from the margins (Fig. 5b; Cooke et al., 2005; Cote et al., 1998). Hourly position solution fractions ranged from 0 to 1 (e.g., Fig. 3b) and reflected the temporal variability of hourly detection fractions (e.g., Fig. 3a), so that low detection fractions by two or three hydrophones often led to low position solution fractions. 3.3. Position solution accuracy The first method for assessing position solution accuracy compared mean position solutions with GPS position estimates. For transmitters within the hydrophone array, the distance between the mean ALPS position solution and GPS position estimate was less than 2 or 3 m, 86 and 95% of the time, respectively, with a maximum distance of 11.9 m (see also Biesinger, 2011). Even for transmitters at array margins, where performance expectations were lower, 30 and 73% of mean ALPS position solutions were less than 3 and 10 m from the GPS position estimates, respectively, with a maximum difference of 81 m. The second assessment method examined position solution consistency through time. Over an entire deployment, consistency among position solutions for a single transmitter was high for central transmitters and for many marginal transmitters, showing central 90% ranges less than 3 m (Biesinger, 2011). 3.4. Spatial variation Position solution fractions from 63 locations during Deployments G and H ranged from 0 to 0.98 (Fig. 6) without showing any clear spatial patterns except decreased fractions near array margins. For transmitters at array margins, the cloud of position solutions was generally larger than for transmitters fully within the array. For example, the mean position solution for the beacon at the south hydrophone (Fig. 6 point A) falls between widely spaced lines of individual position solution locations. In contrast, all individual position solutions are nearly equal to the mean position solution for a central tag (Fig. 6 point B). Performance patterns from this test were confounded by the combination of spatial and temporal variations, as well as the Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 51 Fig. 3. Temporal variation in hourly detection (# detections per # transmissions) and hourly position solution fractions (# position solutions per # transmissions). a) Hourly detection fractions of the beacon at the central hydrophone by each hydrophone during Deployment L. Positioning of the five graphs reflects actual deployment geometry. b) Hourly position solution fractions of the same transmitter. As examples of the complex relationship between detections and position solutions, two time periods are highlighted as shaded regions. During hours 0–30, the center, north, and east hydrophones show detection decreases; then during hours 210 –280, the east and south hydrophones show detection decreases. Both periods show resultant position solution decreases. Fig. 4. Relationship between condition number, CN, and position solution fraction and accuracy. a) Each curve shows the fraction of position solutions removed by filtering out points with progressively smaller condition numbers. b) The same curves as in a), below CN = 3, show the range of the fraction of position solutions remaining (0 to 0.94) when filtered at CN = 1.5. c) The shade of each hexagonal box represents the number of position solutions for the central beacon of Deployment A sharing Northing and CN combinations, up to CN = 20. d) The same data as in c) plotted up to only CN = 3. Of 64,611 total position solutions, after filtering at CN = 1.5, 71% remain and of those, 97% are within 1 m of the GPS Northing estimate (solid dashed lines). 52 Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 Fig. 5. Mean position solution fractions from array deployments at various spacings. To represent the range of quality of position solutions, a) and b) show unfiltered and filtered (CN b 1.5) solutions, respectively. Array spacing indicates the distance from center to outer hydrophones. Closed and open circles represent central and marginal transmitters, respectively, in deployments longer than 6 h. Position solution fractions from deployments shorter than 6 h are indicated by ‘X’s, these are primarily from the spacing and internal performance trials. Closed and open triangles indicate position solution fractions of central and marginal transmitters, respectively, in Deployment A, adjusted to estimate the potential increase if PSR had been possible. At each array spacing, data points have been slightly offset (jittered) horizontally to distinguish points. short duration of the trial. Longer duration trials would reveal longer term spatial variation in performance but obscure shorter term temporal variation. maximum displacement of the mean from the nominal location was 18.9 m though most were within 5 m. 3.6. Hydrophone positions 3.5. Sound speed For the central beacon, the largest position solution fraction decrease, from its maximum, 0.69, at the nominal sound speed (1545 m s−1 at 30 °C) to 0.56 (at 1533 m s−1 at 25 °C) was 17%. The largest displacement in the mean position solution location was 1.4 m (Biesinger, 2011). For marginal beacons, there was little change in the already low position solution fractions, ranging between 0.001 and 0.06. The The position solution fraction for the central, north, and south beacons increased slightly (e.g., 3% from 0.69 to 0.71 for the central beacon) with a 2 m artificial eastward displacement, then dropped (e.g., 17% to 0.57 for the central beacon) with further displacements (Biesinger, 2011), suggesting that the 2 m artificial displacement corrected an error in the GPS position estimate of the central or other hydrophone, effectively bringing the estimated array geometry into closer agreement with the true deployment geometry. With an artificial displacement of 10 m the mean position solution location of the central beacon moved 1.9 m. The marginal beacons' position solution fractions at all artificial displacements ranged between 0.001 and 0.05; the maximum displacement of the mean location was 26 m. 3.7. Autonomous underwater vehicle: REMUS Fig. 6. Spatial variation in position solution fractions during the internal performance trial, Deployments G and H. Open circles show locations of mean position solutions for individual transmitters. The size of the circle indicates the position solution fraction. Closed circles show target transmitter deployment locations where all position solutions were removed during filtering. All position solutions for two transmitters (Points A and B) are indicated by ‘X’s to compare differences in consistency of central and marginal position solution locations over time. For point B, the ‘X’s all occur at the same location, creating a solid dot inside the mean position solution circle. The tag attached to the AUV, spent 1003 s within the array over the course of several passes (Fig. 7). Of the 501 transmissions sent during this time, 105, or 22%, of these resulted in position solutions. For each position solution we calculated the distance between it and the AUV's self-calculated position. These distances ranged from 0.38 to 7.15 m, with 88 and 65% being less than 3 and 2 m, respectively. The position solution fractions obtained when running ALPS using different sound speeds did not change substantially, ranging from 20 to 22%. Also, running ALPS using different sound speeds had little effect on differences between ALPS position solutions and the AUV's self-reported position estimates: between 79 and 86% of position solutions were within 3 m of the AUV's position estimates, and between 54 and 64% were within 2 m. As artificial displacements of the central hydrophone increased from 2 to 10 m, position solution fractions decreased from 20 to 19%. At 10 m artificial displacement, the range of differences between ALPS and the AUV was 3.4 to 17.5 m different. With 2 m artificial displacement, only 42 and 7% position solutions were within 3 and 2 m, respectively, of the AUV's position estimates. With artificial displacements 4 m or greater, the number position solutions within 3 m of the AUV estimates quickly decreased to zero. Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 53 Fig. 7. Autonomous underwater vehicle self-reported positions (―) and telemetry array calculated position solutions (●) during 8 passes through the acoustic array (▲). Travel direction was always from east to west. Hash marks at the axes indicate 50 m. 4. Discussion These results suggest that Lotek's© acoustic positioning system can provide accurate data on animal fine-scale space use and movement. It was capable of deployments covering areas larger and farther from shore than cabled or radio systems (Andrews et al., 2011; Klimley et al., 2001), being essentially limited only by the power of the transmitter. Without the need to be connected to and exposed at the surface, the array can be deployed in deeper waters with less risk of tampering. Autonomous positioning systems are thus well suited for home range or pathway studies of animal movement ecology in larger, deeper, farther-offshore environments for longer durations. The results also 54 Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 highlight some of the challenges and limitations of acoustic telemetry. Unrecognized and unmeasured spatial and temporal variations in the acoustic environment can significantly impact array performance. Researchers must be aware of these limitations and interpret telemetry data accordingly. With our configuration and acoustic environment, Lotek's© autonomous positioning telemetry system was able to cover an area up to 300 m across (Fig. 5), calculating transmitter positions with 2 m accuracy or better (e.g., Fig. 4b). The overall fraction of transmissions giving good position solutions varied substantially, covering the full range from 0 to 1 when very stringently filtered (Fig. 5). Position solution fractions varied widely from hour to hour (Fig. 3b), but there was no clear spatial bias (Fig. 6). For stationary transmitters, array performance was robust to changes or errors in sound speed and hydrophone position estimates. An acoustically challenging, moving tag showed poorer array performance and more sensitivity to deployment errors. Temporal and spatial variations in detections and position solutions, observed even in our relatively controlled deployments, have important implications for animal studies where tag locations are not independently known. Temporal variability leads to non-uniform sampling, with successive time periods experiencing different sampling intensities. Such unrecognized variation can lead to incorrect interpretations of home range size, habitat use, or movement paths, especially when temporal or spatial patterns exist in animal space use. One potential aid to describing and compensating for performance variability during animal studies is the use of stationary sentinel transmitters (e.g., beacons), providing an index of the acoustic environment and temporal sampling bias. However, even multiple sentinels are unlikely to adequately describe spatial variation and thus are unlikely to be appropriate for simple temporal or spatial weighting. The potential for periods of poor array performance means that researchers must take care to design telemetry deployments that meet minimum performance requirements. For example, in a study examining habitat use and home range size of a slow moving fish species, knowing individual positions every 10 min might provide sufficient temporal resolution. Tagging individuals with transmitters with a 10 s burst interval and subsampling position solutions to obtain only one position every 10 min are likely to provide sufficient temporal resolution even during times of poor array performance. In spite of such logistical challenges, acoustic positioning technology has been successfully used in animal space-use studies (Biesinger, 2011; Biesinger et al., 2013; Espinoza et al., 2011a; Grothues et al., 2012). Though the power of the transmitter and the distance between it and a hydrophone clearly affect detections (Kilfoyle and Baggeroer, 2000), we did not observe a clear decrease over the range of 50 to 250 m (Fig. 2). Similarly, there was no clear decrease in array performance with increasing array spacing (Fig. 5), though most deployments used a 100 m spacing. There is an expected and observed decay in signal sound pressure level (SPL) with distance following the inverse power law (Grothues, 2009; Grothues et al., 2012), but the signal interpretation (and therefore logging) of CDMA does not require high SPL. Therefore, logging effectiveness should have been (and here appears to be) poorly related to distance, but only until a distance threshold is reached, and this threshold was beyond the tested hydrophone distances. Future arrays might consider wider spacing, but the detection fraction drop off is likely to be precipitous at the threshold and to be reached more often in dynamic acoustic positions. Therefore, it is imperative that the choice of array coverage, transmitter power, and array performance be made with care and tested prior to application. Array performance was relatively robust to sound speed and hydrophone position estimate errors, with 20 °C temperature differences and 10 m hydrophone position errors decreasing position solution fractions by, at worst, 17% and moving the average position solution location, at worst, 1.4 m for central transmitters. However, this issue is more complicated than our tests reveal. Because acoustic positioning telemetry uses sound speed and distances between hydrophones, an error in one may compound or compensate for another in spatially variable ways, with resulting variation in spatial impacts on array performance. For example, the increase in the position solution fraction with a 2 m artificial displacement of the central hydrophone suggests a situation where the GPS estimate of either the central or other hydrophone position was wrong and the artificial movement brought the relative geometry closer to the true hydrophone arrangement. Errors in central vs. marginal hydrophone estimates could affect performance differently, and errors in multiple position estimates will combine in complicated ways depending on which hydrophones have errors and which are used in the calculation of any given position solution. In practice these observations suggest that taking extra time and care to ensure that hydrophone position estimates are as accurate as possible will increase the frequency and accuracy of position solutions and increase the quality of fish space-use descriptions. Because the distances (and directions) between hydrophones, and not their absolute positions, are used to calculate position solutions, errors in one position estimate, or sound speed estimate, may compensate or compound errors in another. The complexity of these interactions and the challenge of compensating for errors highlight the importance of obtaining the best possible sound speed and hydrophone position estimates. This is particularly highlighted by impacts to the AUV-borne tag. The hollow hull and propeller wake of the AUV challenged the array function for the tag it carried relative to expectations for a tagged fish. The fraction of position solutions for the AUV-borne tag was only about half that of central stationary tags, 22 versus 44%, respectively and about equal to that of marginal stationary tags. Position solution accuracy decreased significantly as artificial hydrophone displacement increased, emphasizing the importance of accurate equipment placement. In testing a different positioning telemetry technology, Espinoza et al. (2011b) reported a small but statistically insignificant decrease in position accuracy for transmitters towed by a boat compared to stationary transmitters. They reported large differences in position estimates between positioning telemetry and active acoustic tracking for tags in moving shark, though it is unclear how much of the differences were due to each positioning method. Our results and those of Espinoza et al. (2011b) suggest that positioning telemetry arrays perform differently for stationary and moving transmitters, suggesting caution in biological studies. The challenge of confirming telemetry array performance in biological studies depends on the ability to obtain independent and accurate position estimates of free moving animals, though again we point to animal space-use studies successfully using acoustic positioning technology (Biesinger, 2011; Biesinger et al., 2013; Espinoza et al., 2011a; Grothues et al., 2012). Though we have assessed performance with overall and hourly measures, most telemetry studies rely on the accuracy of individual position solutions or the probability of obtaining position estimates with a desired frequency, similar to our AUV-borne tag analysis. Our position solution fractions may be seen as estimates of position solution probabilities for similar array deployments, i.e., what is the probability that a given position solution is accurate to 2 m or that a deployment will produce accurate position solutions at least every minute. Furthermore, depending on the goals of a particular study, for example, describing overall space or habitat use, or analyzing individual animal movement paths, higher frequency or greater accuracy may be more important. To assess array performance in this light, one must consider the trade-off between the frequency and accuracy of position solutions, and the probability that each solution meets the desired accuracy; each new array configuration or acoustic environment may perform differently. The capability of new acoustic positioning telemetry technologies to collect animal movement data at finer resolutions, over longer times, Z. Biesinger et al. / Journal of Experimental Marine Biology and Ecology 448 (2013) 46–56 and in less accessible locations makes it possible to address a wider range of movement and ecological questions than ever before. With the ability to simultaneously track many individuals, this technology makes it possible to address density-dependent and species–species interactions. In conjunction with detailed aquatic and environmental data, it is possible to explore fine-scale, habitat-dependent processes. As emphasized by others (Andrews et al., 2011; Espinoza et al., 2011b), the choice of telemetry system and design should be driven by the study objectives, animal behavioral characteristics, and user requirements. For example, with the Vemco© VPS array, the manufacturer retains responsibility for filtering and ensuring the quality of telemetry results, leaving the researcher to interpret the behavioral and ecological significance of data. This compares with the Lotek© system, where the researcher has access to raw data and responsibility to correctly interpret both quality and biological significance of telemetry output, potentially allowing more insight into the aquatic and acoustic environment. Regardless of the chosen system, the research question must drive the study design and the telemetry deployment details. For example, in a study of habitat use or home range size of wide ranging animals, one might choose larger spatial coverage and longer duration (i.e. less frequent tag transmissions extending battery life), sacrificing smaller scale animal movements. In a study of finer resolution behaviors, like movement pathways or response to individual predator encounters, to obtain frequent, highly accurate position estimates, one could cover a smaller area (or increase the number of hydrophones) and use short-lived tags with more frequent transmissions. The increasing availability of spatial data will give researchers an increasingly spatial perspective of animal interactions and improve our understanding of ecological pattern and process. Acknowledgments We thank A. Valle-Levinson for the use of the ADCP, T. Bacheler, E. Pierce, and M. Meadows for help with fieldwork, and M. 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