1
1 Avoidance of simultaneous patch use in Japanese
2 large-footed bats
3
4 short title: Avoidance of simultaneous patch use in bats
5
6 Emyo Fujioka1*, Masashi Shiraishi2, Tamao Hirao3, Yui Onishi3, Dai Fukui4, Shizuko
7 Hiryu3
8
9 1 Organization for Research Initiatives and Development, Doshisha University,
10 Kyotanabe, Kyoto 610-0321, Japan
11 2 Graduate School of Information Sciences Department of Intelligent Systems,
12 Hiroshima City University, Hiroshima 731-3194, Japan
13 3 Faculty of Life and Medical Sciences, Doshisha University, Kyotanabe, Kyoto 610-
14 0321, Japan
15 4 The University of Tokyo Fuji Iyashinomori Woodland Study Center, Graduate School
16 of Agricultural and Life Sciences, The University of Tokyo, Minamitsuru-gun,
17 Yamanashi 401-0501, Japan.
18
19 * Corresponding author
20 Email:
[email protected]
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22 Abstract
23 Group foraging can enhance prey detection, but depending on resource
24 availability, it may also generate conflicts among conspecifics. To understand how
25 animals balance these benefits and costs, foraging performance must be evaluated
26 together with inter-individual interactions. However, under fully natural conditions, it
27 remains challenging to quantify both simultaneously. Here, we investigated how
28 individual foraging efficiency and pairwise interactions are shaped when more than one
29 individuals simultaneously exploit the same foraging patch, using the Japanese large-
30 footed bat ( Myotis macrodactylus) as a model system. We monitored an entire pond
31 functioning as a natural foraging patch using two thermal cameras and an eight-channel
32 microphone array, and reconstructed the arrival, prey-attack, and exit times of
33 individual bats. Using a Poisson generalized linear mixed model (GLMM), we found
34 that prey-attack rates were approximately 25% lower during paired flights than during
35 solitary flights. We then constructed a null model in which arrival, attack, and departure
36 events followed independent Poisson processes parameterized from the empirical data.
37 Compared with null-model predictions, both the total duration and the duration of
38 individual paired flights in the empirical data were significantly shorter, indicating that
39 bats limited the time spent co-using the same patch relative to solitary foraging. In
40 addition, the probability that the first exiting individual was the one that arrived earlier
41 or later did not deviate from chance levels, providing no evidence for a prior residence
42 advantage. Together, these results demonstrate that simultaneous patch use avoidance
43 occurs independently of arrival order and coincides with reduced prey-attack rate,
44 suggesting that bats leave shared patches and move to alternative foraging sites to
45 mitigate losses in prey-attack efficiency. Our findings highlight bats as an excellent
46 model system for non-invasively linking individual behavior and foraging performance
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47 via echolocation, and for elucidating the dynamics of foraging behavior and sensory
48 interference in the wild.
49
50 Introduction
51 Foraging behavior is one of the most fundamental activities in animals and
52 directly affects survival and fitness [1, 2]. Many predatory species do not forage
53 exclusively alone but instead adopt strategies involving temporary or permanent group
54 formation (e.g., fish[3, 4]; ants[5, 6]; birds[7, 8]). Such strategies confer multiple
55 advantages, including an expansion of individual perceptual ranges that enhances prey-
56 detection capabilities [9, 10], improved access to temporally and spatially ephemeral
57 food patches [11, 12], and increased foraging success through information transfer
58 among group members, which facilitates efficient food searching and hunting [13, 14].
59 At the same time, group foraging entails costs, such as intensified intraspecific
60 competition and interference arising from resource sharing [15, 16], as well as
61 reductions in per capita food intake [17, 18]. Although these trade-offs have been
62 demonstrated in numerous studies at the individual level (e.g., [10, 12]) and under
63 controlled conditions (e.g., [14, 17]), quantitatively observing the foraging behavior
64 and interactions of multiple freely moving individuals in fully natural environments,
65 and understanding how predation is actually carried out under such conditions, remain
66 extremely challenging.
67 Bats rely on echolocation for navigation and prey detection in darkness [19, 20].
68 Echolocation calls contain rich information about the direction of attention and the
69 behavioral state of an individual. For example, feeding buzzes emitted immediately
70 prior to prey capture indicate when a bat is capturing target prey, and the interval of
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71 ultrasonic emissions allows precise identification of the timing at which prey-approach
72 behavior is initiated. Thus, in bats, echolocation calls enable high-resolution
73 quantification of foraging behavior under fully natural conditions [21, 22]. In particular,
74 the Japanese large-footed bat (Myotis macrodactylus) uses echolocation to detect
75 aquatic insects near the water surface and captures prey by trawling flight over ponds
76 and streams [23, 24]. This behavioral specialization facilitates fixed-site observations
77 of a foraging patch, making this species an excellent wild model for quantitatively
78 analyzing foraging behavior and inter-individual interactions based on acoustic
79 recordings.
80 A distinctive feature of inter-individual interactions during bat foraging is that
81 echolocation calls and their echoes are audible not only to the emitting individual but
82 also to nearby conspecifics. Listening to the calls of others can yield both benefits and
83 costs during foraging. For example, it has been reported that bats—including both
84 conspecifics and heterospecifics—eavesdrop on the echolocation calls of others to
85 obtain profitable information about foraging sites [25-28]. At the same time, calls
86 emitted by nearby individuals can interfere with a bat’s own echoes, potentially
87 degrading echolocation performance and reducing foraging efficiency. Indeed, recent
88 studies have highlighted a trade-off in group foraging, whereby foraging with a small
89 number of conspecifics can facilitate prey detection, whereas the presence of too many
90 individuals can instead reduce efficiency [29]. Considering these opposing benefits and
91 costs, understanding bat foraging strategies when multiple individuals occupy the same
92 foraging patch requires quantitative evaluation not only of individual behavior but also
93 of its relationship with local prey resources. In Japanese large-footed bats, aquatic
94 insects targeted during foraging emerge at the water surface and exit shortly thereafter,
95 such that competition is expected among individuals attempting to exploit prey
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96 immediately after emergence. Accordingly, analyses of foraging behavior in this
97 species provide an opportunity to reveal dynamic inter-individual interactions and
98 strategic adjustments within a shared foraging patch.
99 In this study, we monitored the entire pond as a natural foraging site and
100 examined the foraging behavior of Japanese large-footed bats that arrived sequentially
101 at the site, with particular attention to periods in which more than one individual was
102 co-using the site simultaneously. At the focal pond, both solitary foraging events and
103 situations in which additional bats arrived and foraged simultaneously were observed.
104 In echolocation-based foraging targeting prey at the water surface, acoustic interference
105 arising from reflections off the water surface is expected to occur—an effect that is
106 absent during foraging in featureless three-dimensional open space. Consequently,
107 when the foraging patch is spatially restricted, sharing the patch with conspecifics is
108 predicted to impose substantial echolocation-related costs on Japanese large-footed bats.
109 Based on this reasoning, we hypothesized that the presence of other bats within the
110 same foraging patch reduces foraging efficiency and that individuals adopt behavioral
111 strategies to avoid co-using the patch with conspecifics.
112 To test this hypothesis, we deployed wide–field video cameras and a
113 microphone array configured to cover the entire pond, allowing us to record the arrival
114 and departure times of successive bats as well as their prey-capture behavior within the
115 foraging patch. We further modeled bat arrival, prey-attack, and exit events at the patch
116 as Poisson processes and estimated their occurrence rates from the empirical data to
117 construct a null model that excludes inter-individual interactions. By comparing the
118 empirical data with this null model, we evaluated whether bats adjust their behavior in
119 response to the presence of conspecifics when co-using the same patch—that is,
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120 whether patch staying times deviate from expectations under a simple probabilistic
121 process. The primary objective of this study was to investigate how Japanese large-
122 footed bats adjust their behavior under natural conditions when more than one
123 individual simultaneously exploits the same foraging patch and to clarify the
124 relationship between such behavioral adjustments and foraging efficiency. To further
125 address this objective, we additionally analyzed which individual was more likely to
126 leave first during simultaneous multi-individual foraging bouts, providing
127 complementary insights into inter-individual interactions during bat foraging.
128
129 Materials and methods
130 Target species and study site
131 Target species of this study is Myotis macrodactylus. This bat species performs
132 echolocation using frequency-modulated calls [23, 30]. When attacking insect prey,
133 individuals emit a feeding buzz, during which the call frequency decreases immediately
134 prior to the attack [23, 24]. This indicates that the timing of prey-attack events can be
135 identified from the recorded echolocation sounds. We defined foraging efficiency as
136 the frequency of attack attempts on prey, that is, the encounter rate with prey.
137 The study site was a single pond (approximately 20 × 20 m) located within the
138 Tomakomai Experimental Forest of Hokkaido University (Fig. 1), which is one of
139 several ponds distributed along Horonai stream within the forest. At this pond, M.
140 macrodactylus have been observed foraging just above the water surface alone or in the
141 presence of conspecifics [24]. Field recordings were conducted on three nights (12, 16,
142 and 17 September 2024). Data collection began shortly after sunset (approximately
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143 17:30), when the first bat appeared, and continued for approximately one hour each
144 night.
145
146 Fig. 1. Schematic diagram of the study site and measurement system. Blue arrows show
147 the direction of the stream.
148
149 Although the study site is designated as a wildlife reserve by the local government,
150 no specific permits were required for this study because it was a non-invasive
151 observational study that did not involve any endangered or protected species, animal
152 capture, or habitat disturbance. Experiments at the pond were conducted with
153 permission from the forest administration.
154
155 Video and acoustic recording
156 For video recordings, two FLIR A65 thermal video cameras (field of view: 90°,
157 frame rate: 30 fps; Teledyne FLIR LLC, Oregon, USA) were used to record bat arrivals
158 at and exits from the pond as monochrome video files on a personal computer (Fig. 1).
159 The recordings from the two cameras were temporally synchronized by clapping hands
160 within the overlapping fields of view of both cameras. Using the recorded videos, the
161 arrival and exit times (hh:mm:ss) of successive bats were extracted, and inter-arrival
162 intervals and patch residence times in patch for each bat were calculated.
163 For acoustic recordings, eight ultrasonic-band MEMS microphones (custom-
164 made, based on the SPU0410LR5H; Knowles) were deployed surrounding the pond
165 (Fig. 1). This configuration enabled comprehensive recording of all vocalizations
166 produced within the pond, including feeding buzzes emitted by individual bats.
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167 Acoustic signals captured by the microphones were recorded on a personal computer
168 via a data acquisition device (USB-6356; National Instruments, Inc., USA) at a
169 sampling rate of 500 kHz. Audio and video recordings were synchronized using the
170 handclap sounds that were also used for video synchronization.
171 The timing of prey-attack events was determined from the acoustic data by
172 identifying the terminal portion of feeding buzzes in which call frequency decreased,
173 with a temporal resolution of 0.1 s. When no frequency decrease was observed, the
174 event was recorded as a non-attack [24]. In this study, situations in which only a single
175 bat was present within the foraging area were defined as the single-bat context, whereas
176 situations involving two or more bats were defined as the multiple-bat context. In the
177 multiple-bat context, the individual flying near the microphone that recorded the
178 feeding buzz was determined to be the emitter of the feeding buzz. When it is hard to
179 identify the feeding-buzz emitter using such snapshot of video and acoustic recordings
180 because inter-individual distance was too small, the emitter was identified using time
181 differences of arrival (TDOA) in the microphone array. Specifically, the relative spatial
182 positions of the bats were determined from the temporal patterns of TDOA in acoustic
183 sequences containing a feeding buzz recorded by the microphones near the bats. Then,
184 the bat that emitted feeding buzz was identified by comparing the acoustically
185 determined relative positions with the bats’ flight positions observed in the
186 synchronized video recordings.
187 Null model construction and statistical analysis
188 We constructed a stochastic behavioral simulation model in MATLAB
189 (MathWorks, USA), in which three events at the foraging site—arrival, prey attack, and
190 exit—were treated as independent Poisson processes. This model was positioned as a
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191 null model that does not incorporate inter-individual interactions, and the event rates
192 (occurrence probabilities per unit time) for all processes were derived entirely from the
193 empirical data obtained in this study. Specifically, the arrival rate was defined as the
194 number of bats arriving at the foraging site per unit time. The prey-attack rate was
195 estimated separately for the single-bat and multiple-bat contexts by modeling the
196 number of prey attacks per unit time for each bat using a Poisson generalized linear
197 mixed model (GLMM), with the contexts (i.e., single/multiple) treated as a fixed effect
198 (see Section 2.4 for details). The exit rate was defined as the inverse of the mean
199 seconds of patch residence time of bats at the foraging site.
200 Because no significant day-to-day differences were detected in inter-arrival
201 intervals or the patch residence time (all p > 0.05, Kolmogorov–Smirnov tests), these
202 rates were estimated using pooled data from all three days. In contrast, inter-attack
203 intervals differed significantly among days (p < 0.001, Kolmogorov–Smirnov test), and
204 therefore day-specific attack rates were used in the model.
205 Differences in prey-attack rate between the single-bat and multiple-bat contexts
206 were analyzed using a Poisson GLMM, in which the number of prey attacks per
207 individual was treated as the response variable and patch residence time of individuals
208 was included as an offset term. Context (single-bat vs. multiple-bat) was specified as a
209 fixed effect, and the significance of its effect was evaluated using a Wald test. For
210 individuals that engaged in multiple-bat context, attack events were assigned separately
211 to the single-bat and multiple-bat contexts when the same individual flew alone before
212 or after multiple-bat context. Individual identity and experimental date were included
213 as random effects in the model.
214 Simulations of the mathematical null model were conducted with each trial
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215 covering the same duration as the empirical measurements (i.e., 1 h). A total of 10,000
216 trials were performed to generate the distributions of flight patch residence time under
217 the single-bat and multiple-bat contexts, which were then tested for differences from
218 the empirical data. Using the outputs of the mathematical model as the null distribution,
219 deviations of the empirical bat data from model expectations were evaluated using a
220 parametric bootstrap test.
221 To examine whether individuals tended to occupy the foraging patch in the
222 multiple-bat context, we analyzed which bat exited first during paired flights: the
223 individual that arrived earlier or the one that arrived later. When multiple bats arrived
224 at or exited from the foraging patch nearly simultaneously (with a time difference of
225 less than 1 s), the order of events could not be reliably determined; such cases were
226 therefore excluded from this analysis. To restrict the analysis to simple and
227 interpretable situations, only two-bat conditions (i.e., paired flights) were considered.
228 Individuals that experienced situations involving three or more bats were excluded from
229 this analysis (observed only in the case of numerical simulation, see Results).
230
231 Results
232 Over the three observation nights (12, 16, and 17 September), the first
233 individual appeared at approximately 18:30, and a total of 44, 75, and 61 individuals
234 were recorded within the subsequent 1 h, respectively (Fig. 2A, S1 Dataset). Bats
235 arrived at the foraging patch successively, repeatedly attacked prey, and then exited.
236 The inter-arrival interval, the patch residence time, and inter-attack interval averaged
237 57.6 ± 46.0 s, 17.3 ± 17.9 s, and 2.52 ± 2.14 s (mean ± SD), respectively, across the
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238 three days (Fig. 2B). A total of 31 flight events of multiple-bat context were observed
239 over the three days, and no cases involving three or more individuals were recorded.
240
241 Fig. 2. (A) Time series data of the bats foraging at the pond during 1-h measurement.
242 The length of the line indicates the time spent at the pond. Red lines indicate the bats
243 exiting the pond alone, whereas the blue and yellow lines show the bats exiting the
244 pond in group; the latter bats entered before (blue) and after (yellow) the entrance of
245 the former bats. The vertical lines across the horizontal lines indicate the timing of
246 attacking prey. (B) Proportional distribution of arrival intervals (left), patch residence
247 time (middle) and attack intervals (right) of the bats during the measurement periods
248 for each day.
249
250 The Poisson GLMM of prey-attack counts indicated that bats attacked prey at a
251 mean rate of 0.224 attacks s⁻¹ in the single-bat context (estimate = −1.498 ± 0.113 SE,
252 z = −13.21, p < 0.001), and that this rate was significantly reduced in the multiple-bat
253 context (estimate = −0.285 ± 0.131 SE, z = −2.17, p < 0.05; Fig. 3). Consequently, the
254 prey-attack rate in the multiple-bat context was reduced by 25% relative to the single-
255 bat context (exp[−0.285] = 0.75; S2 Table).
256
257 Fig. 3. Prey attack rates during single and multiple flights estimated by a GLMM; The
258 vertical lines show the standard errors. The slope of the fixed effect for multiple vs.
259 single was -0.285 (p < 0.05 (*), Wald test). Number of data was 217 (single: 160, group:
260 57).
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261
262 Using the parameters estimated from the empirical data, we conducted foraging
263 simulations (Fig. 4A). The simulated outputs—inter-arrival intervals, patch residence
264 time, and prey-attack rates per simulation run (i.e., 1 h)—closely matched the
265 corresponding empirical values used as model inputs (S3 Table). In the multiple-bat
266 context, such events occurred 13.1 ± 4.0 times per hour (mean ± SD, N = 10,000
267 simulations), with a total duration of 130.5 ± 52.6 s per hour. In contrast, the total
268 duration of the multiple-bat context in the empirical data was 49 s (Day 1, N = 6), 79 s
269 (Day 2, N = 13), and 61 s (Day 3, N = 12), which was significantly shorter than
270 predicted by the simulations (Z ≈ −2.35, p < 0.001, one-sample Z test; Fig. 4B).
271 Furthermore, the duration of individual multiple-bat contexts averaged 9.9 ± 10.0 s in
272 the simulations (N = 131,374 events from 10,000 simulations), whereas the
273 corresponding values in the empirical data were 5.5 ± 3.7 s (Day 1, N = 6), 6.2 ± 6.9 s
274 (Day 2, N = 13), and 5.1 ± 3.0 s (Day 3, N = 12; mean ± SD). Parametric bootstrap tests
275 revealed that the durations of individual multiple-bat contexts in the empirical data were
276 significantly shorter than those predicted by the model for all days (p < 0.001; Fig. 4C).
277
278 Fig. 4. (A) Time series data of the 1-h foraging simulation of the null model (drawing
279 rule is same as Fig. 2A). (B) Total time spent in the foraging patch of model and
280 measured (three different days) bats while in multiple contexts. Vertical lines on the
281 orange bar indicate the standard deviation based on 10,000 numerical simulations. One-
282 sample Z test was conducted; *** p < 0.001. (C) Boxplots (0.025, 0.25, 0.5, 0.75, and
283 0.975 quantiles) showing the consecutive durations of each multiple flight obtained
284 from the numerical simulations (orange) and from three days of field observations of
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285 bats (blue). Parametric bootstrap tests were conducted; *** p < 0.001.
286
287 In paired flights, we examined whether the individual that exited first was the
288 one that arrived earlier (Bat A) or the one that arrived later (Bat B). In the simulations,
289 once a paired flight began, both bats had identical departure probabilities, resulting in
290 an equal likelihood of Bat A or Bat B exiting first (Fig. 5, left). Analysis of the empirical
291 data revealed an exactly even split, with the first exit occurring equally often for Bat A
292 and Bat B (Fig. 5, right; N = 20; Bat A = 10 cases, Bat B = 10 cases).
293
294 Fig. 5. The bat that exited the pond first when in paired flights for the case of model
295 simulation (red) and the experimental data (blue). Bat A is the bat that was staying
296 before the paired flight together with the latter bat (Bat B). The numerical simulation
297 was exhibited 10,000 times.
298
299 Discussion
300 In this study, we used a microphone array and video cameras to quantify the
301 sequential arrival, foraging, and exiting of bats within a foraging patch. Our results
302 demonstrate that when two individuals were present simultaneously within the patch,
303 prey-attack rate was reduced relative to single-bat flight context (Fig. 3). Because the
304 pond we measured was sufficiently small that flight areas overlapped during paired
305 flights, this reduction is likely attributable to the presence of conspecifics acting as
306 moving obstacles and/or to acoustic interference between the ultrasonic signals emitted
307 for echolocation, which may have decreased prey-detection efficiency. Furthermore,
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308 comparison with the null model we constructed revealed that the duration of paired
309 flights was significantly shorter in the empirical data than predicted by the model (Fig.
310 4). This finding indicates that bats actively exited from the foraging patch to avoid
311 simultaneous foraging with conspecifics. The study site was located within a university
312 experimental forest, where multiple ponds and stream pools are distributed in the
313 surrounding area. It is therefore plausible that bats avoided simultaneous foraging with
314 conspecifics at a single patch and instead moved to alternative nearby foraging patches.
315 When two individuals are co-using a foraging patch, an important question is
316 which individual leaves first in order to avoid simultaneous foraging. Previous studies
317 have frequently reported behaviors in which individuals expel others from feeding sites
318 (food patch defense), with the resident typically displacing the intruder—a pattern
319 known as the prior residence effect [31, 32]. In the present study, however, the
320 probability that the first individual to exit was the resident or the intruder did not differ
321 from chance levels (Fig. 5), indicating that avoidance of simultaneous patch use does
322 not depend on the order of arrival at the foraging patch. Accordingly, a prior residence
323 effect does not appear to operate in the foraging behavior of Japanese large-footed bats.
324 More generally, avoidance of simultaneous foraging with conspecifics at a feeding
325 patch may be influenced not only by prior residence effects but also by kin selection
326 [33] and dominance hierarchies [34]. High relatedness can promote tolerance or food
327 sharing among individuals, whereas dominance relationships may lead to displacement
328 or exclusion from feeding sites [35, 36]. To gain a deeper understanding of the
329 mechanisms underlying collective foraging in bats, future studies should jointly
330 examine foraging behavior, social hierarchy, and relatedness within colonies.
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331 Japanese large-footed bats have been reported to emit various types of social
332 calls at foraging sites [37], some of which are suggested to function in repelling
333 conspecifics [38]. Thus, social calls could potentially influence the patch residence time
334 and prey-attack rate during paired flights in the present study. However, social calls
335 were observed infrequently, occurring in only 5 of the 31 paired flights (16.1%). When
336 we reanalyzed the data using a Poisson GLMM after excluding flights in which social
337 calls were observed (including those individuals during solitary flights), bats attacked
338 prey at a mean rate of 0.225 attacks/s during solitary flights (estimate = −1.491 ± 0.112
339 SE, z = −13.36, p < 0.001), and this rate was significantly reduced during paired flights
340 (estimate = −0.332 ± 0.147 SE, z = −2.26, p < 0.05). Consequently, prey-attack rate
341 during paired flights was reduced by 28% relative to solitary flights (exp[−0.332] =
342 0.72; S2 Table). These results indicate that, regardless of the presence or absence of
343 social calls, prey-attack rate was significantly lower during paired flights than during
344 solitary flights, and the magnitude of this reduction was largely unchanged. This
345 suggests that social calls likely had little effect on foraging efficiency in the present
346 study.
347 Foraging efficiency during multiple-bat flights with conspecifics is likely to
348 depend on the size of the foraging patch. If bats can fly within a patch while
349 experiencing minimal interference from other individuals—such as overlap in flight
350 paths or sensory interference—then the presence of conspecifics may not necessarily
351 reduce prey-attack rate. Even in large patches, however, increasing the number of
352 individuals can intensify competition, prompting predators to move to alternative
353 foraging patches; as a result, the benefits gained at each patch tend to become
354 approximately equal among individuals. Such distributions of predators across feeding
355 sites are described by the ideal free distribution [39]. In bat research, it has been
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356 reported that increases in bat density at a given foraging patch lead to competition and
357 subsequent shifts to alternative patches [40]. In the present study, because multiple
358 ponds are distributed along the river within the experimental forest where our study
359 pond is located, Japanese large-footed bats may similarly compare prey availability
360 between the focal pond and other nearby foraging patches and avoid paired flights in
361 order to maintain foraging efficiency.
362 In conclusion, our study demonstrates that prey-attack rate of M. macrodactylus
363 declines during paired flights within a foraging patch and that bats actively avoid
364 simultaneous foraging with conspecifics within the patch. By quantitatively
365 characterizing foraging behavior that is otherwise difficult to capture under natural
366 conditions, this study highlights the Japanese large-footed bat as an excellent model
367 system for elucidating the dynamics of collective foraging and the mechanisms of
368 sensory interference in the wild. These findings provide a foundation for future studies
369 incorporating multiple foraging patches and temporal variation in prey availability.
370 Acknowledgments
371 We gratefully acknowledge Fumiya Hamai, Yuna Yabuta, Yuuka Mizuguchi,
372 Yasumasa Kitamura, Kana Matsuoka, Shoko Fujitani, Kiho Fujii, Akito Nomi, Yuto
373 Wakasa, Ryota Yao, Mikuto Hori, Tsubasa Sakamoto, for their support in fieldwork
374 and its analysis. Also, we thank Yuichi Mizutani for his help in improving our
375 manuscript.
376
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493 Supporting Information
494 S1 Dataset. Times of pond entry, pond exit, and prey attacks by bats.
495 S2 Table. Prey-attack rates calculated by the GLMM for each day.
496 S3 Table. The three parameters calculated using experiment and simulation data.
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