Correction to: Sometimes noise is beneficial: stream noise informs vocal communication in the little torrent frog Amolops torrentis

[This corrects the article DOI: 10.1007/s10164-017-0515-y.].


Introduction
Acoustic signals can be transmitted over long distances through varied habitats and can convey many kinds of information concerning species and individual identity, sexual receptivity and spatiotemporal information (Tyack 1998;Marler and Slabbekoorn 2004;Wells and Schwartz 2007). Most terrestrial species rely heavily on acoustic signals to attract mates, assess risks and defend resources (Bernal et al. 2007;Linhart et al. 2012;Halfwerk et al. 2014). However, sound communication is often degraded by various biotic and abiotic sources of environmental noise which interfere with the transmission of acoustic signals as well as the detection and processing of information contained in these signals (Wiley and Richards 1982;Rabin and Greene 2002;Brumm and Slabbekoorn 2005;Brumm and Naguib 2009;Love and Bee 2010). These challenges drive selection pressures, resulting in the evolution of specialized morphological, behavioral and physiological adaptations for coping with environment noise interference (Slabbekoorn and Peet 2003;Feng et al. 2006;Fuller et al. 2007;Brumm and Zollinger 2011).
Most research on the impact of noise has focused on the detrimental effects and how animals deal with interference Electronic supplementary material The online version of this article (doi:10.1007/s10164-017-0515-y) contains supplementary material, which is available to authorized users. from noise. Nevertheless, noise can also be beneficial to some species, depending on the context and how receivers react to it (Stansbury et al. 2016). For instance, greater mouse-eared bats (Myotis myotis) and western scrub jays (Aphelocoma californica) have been shown to experience decreased predation pressure when predators avoid increased local noise produced by anthropogenic activity (Schaub et al. 2008;Francis et al. 2009). Anthropogenic noise can also be a form of acoustic crypsis and may increase the foraging success of predators by interfering with detection by prey (Chan et al. 2010).
In socially aggregating animals, competing biotic noise can mask vocal communication signals, interfering with signal detection, localization and recognition (Lohr et al. 2003;Feng and Schul 2007). However, biotic noise can also be used for orientation in the field because dense choruses can transmit communication sounds over long distances that remain detectable and identifiable (Gerhardt and Klump 1988;Sinsch 1990). The cooperative hypothesis proposes that conspecific background noise (i.e., synchronous calling) may also benefit males by disturbing the localization of individuals to predators and by increasing the group attractiveness to females (Grafe 1999). In addition to the possible benefits of anthropogenic and natural biotic noise, some studies indicate that natural abiotic noise may also be useful in some animal species for migration and localization (Richardson et al. 1995;Leis et al. 2003;Simpson et al. 2004).
The little torrent frog (Amolops torrentis) inhabits mountain streams, at altitudes of 80-780 m, filled on both sides with lush vegetation (Fei et al. 2012). During the breeding season, males prefer to call at sites characterized by high-amplitude stream noise which associates closely with rocks, topographies, vegetation and running water (Fig. S1). A random survey of three typical streams around the field research base at Mt. Diaoluo, indicates that the background noise in the natural habitat of the little torrent frog ranges from 50 to 80 dB, although approximately 80% of the males (n = 46) emit calls at sites for which environmental noise is in the 65-80 dB range. Moreover, little torrent frogs have also been found to lay eggs at rocky and fast flowing sites and tadpoles also inhabit in such places (Fei et al. 2012). Specifically, little torrent frogs lay eggs in holes or apertures among the rock pile in which the follicles are anchored to the stone or to nearby soils so that the eggs are not washed away by turbulent water. This behavioral preference may thus enhance survival and reproductive success. Furthermore, torrent frogs also can use stones and stream noise to avoid predators and to provide a relatively safe environment for early embryo development. For these reasons noise produced by turbulent water may serve as an indicator of suitable oviposition sites. In view of these considerations, we hypothesized that stream noise may contain information about microhabitat variation useful to females.
The results of a previous study indicate that the dominant frequency of natural male advertisement calls (4.3 kHz) is substantially mismatched with female auditory frequency tuning (1.6 kHz) in little torrent frogs, despite the fact that low-frequency calls with a dominant frequency equal to 1.6 kHz are attractive to females compared to white noise (Zhao et al. 2017). Furthermore, females prefer high-frequency calls (dominant frequency of 4.3 kHz) to low-frequency calls, regardless of whether they are listening in silent, low-noise or high-noise environments (Zhao et al. 2017). To test the hypothesis that stream noise can be used by females as a cue reflecting information about the microhabitat during mate choice, we compared the females' preferences for stimulus pairs constructed with synthetic male calls (high frequency or low frequency) and stream noise of varied SNR. We predicted that females would prefer calls with high amplitude noise compared with low amplitude noise for each kind of stimulus pair, and that females would prefer calls with noise added compared to those without noise. In addition, we also determined whether stream noise alone is attractive to females.

Study site and animal
During the reproductive season, from April to September in 2015, we collected female little torrent frogs in the Mt. Diaoluo Nature Reserve (18.44°N and 109.52°E), Hainan province, China. Daily temperatures varied between 14 and 25°C during this period. Females found in the stream and nearby shrubs were collected (between 1900 and 2200 hours), placed in containers with water and stones from their capture sites, and brought back to the laboratory for testing as described below. In this species, females of sexual maturity are larger than males and the ovulating female has an obviously plump abdomen. Only ovulated frogs were used in the experiments, to ensure that females would respond well to the acoustic stimuli. All individuals were returned to their natural habitat immediately after testing. The frogs were used in the experiments with the permission of the management office of the Mt. Diaoluo nature reserve. All animal procedures were approved by the Animal Care and Use Committee of the Chengdu Institute of Biology, CAS.

Sound recording procedures and signal-noise ratio (SNR) assessments
We recorded advertisement calls with a directional microphone (Sennheiser ME66 with K6 power module) connected to a digital recorder (Marantz PMD 660, 16 bit, 44.1 kHz) from a distance of 1 m. We also measured call sound pressure levels (SPLs) and ambient stream SPLs at the same distance, using an A-weighted sound level meter (AWA 6291, Hangzhou Aihua Instruments Co.). For each male, 6-10 calls were recorded continuously during each recording session, and the peak sound pressure value was recorded for each call. Seven call parameters were analyzed with Adobe Audition 3.0 software, in order to display the natural range of acoustic features. Additional information about sampling procedures and call parameters has been described in detail previously by Zhao et al. (2017). To measure the real vocal amplitude accurately, we subtracted the background from that of the signal using logarithmic computation rules (Weißing 1984), in which L sig ¼ 10 log 10 10 ðLsigþnoise=10Þ À 10 ðLnoise=10Þ ; where L sig?noise is the total sound pressure level, L noise is the background noise level alone, and L sig is the SPL of the signal (Brumm and Zollinger 2011). Then the dB of signal and noise were transformed to Pa with this formula: Le = 20 log (P/P 0 ), where Le is dB SPL, P is sound pressure (lPa), and P 0 is the reference pressure 20 lPa. A sample consisting of 40 males recorded from different stream locations was used to determine the SNR range. The results show SNRs range from 1.23:1 to 18.81:1 in the frogs' natural habitat.

Synthetic stimuli
It can be difficult to ensure that completely synthesized biological sounds will be perceived by the test species as a natural call. On the other hand, a recording from a wild male frog may not be representative for the local population. In this study, we first chose a typical call whose acoustic features all fell within the natural range (Table S1) and then adjusted several key parameters including the dominant frequency, call duration and the note number, within the average range. Similarly, the background noise from three locations (three samples per location) was used to form a single aggregated noise for the experiments. These sites are representative of natural conditions, insofar as the largest number of vocalizing males aggregate at these sites during the breeding season. Moreover, these sites are typically rocky, hilly and near fast-flowing water which, potentially, could provide benefits for survival and reproduction. All acoustic stimuli were synthesized using Avisoft SAS-Lab Pro (Avisoft Bioacoustics, Berlin) and Adobe Audition 3.0 software (California, USA).
The dominant frequency of the high and low frequency call stimuli were 4.3 and 1.6 kHz, respectively. The noise presentation gated on and off with the call stimuli with a 5-s inter-stimulus interval. To create stimulus pairs for the experiments, the SNR was set to either 2:1 or 8:1. Three stimulus categories were used: (1) high dominant frequency call with no noise added (HN), high dominant frequency call with low amplitude noise added (HL: signal/ noise = 8:1) and high dominant frequency call with high amplitude noise added (HH: signal/noise = 2:1) (Fig. 1ac), (2) low dominant frequency call with no noise added (LN), low dominant frequency call with low amplitude noise added (LL: signal/noise = 8:1) and low dominant frequency call with high amplitude noise added (LH: signal/noise = 2:1) (Fig. 1d-f), and (3) running water (RW), white noise (WN) and silence (S). A total of eight stimulus pairs were constructed using these three categories of stimuli, as described below (Tables 1, 2).

Phonotaxis experiments
The three categories of stimulus pairs described above were used in experiments 1-3, respectively. Experiment 1 and experiment 2 were conducted in order to determine whether stream noise provides salient information to female little torrent frogs. Two stimulus pairs in experiment 3 were utilized in order to determine whether stream noise alone provides information salient to females.
We conducted standard two-speaker phonotaxis tests in a sound-attenuating chamber [2.2 (L) 9 1.5 (W) 9 1.5 (H) m]. Females were placed in the center of the chamber while the stimulus pairs were broadcast antiphonally from speakers (SME-AFS, Saul Mineroff Electronics, Elmont, NY, USA) placed in the center of each wall opposite one another such that the peak amplitude of each test call was 80 dB SPL (re 20 lPa), and the peak amplitude of the running water (i.e., stream noise) was 75 dB within the natural range. The subject's choice and response time were noted when a female approached within 10 cm of one of the two speakers as long as the female did not follow the walls of the chamber. A female was considered to have failed to meet our response criterion if she was motionless or spent more than 10 min roaming the arena without approaching a speaker. In this case the response time was recorded as 10 min. Prior to the experiment, the frogs were held for 2 h in the lab to eliminate the possible effects of previous exposure to the natural chorus. To control for potential side biases, we randomized the speaker assignments for each stimulus pair. The experimental order was also random, insofar as previous experience may also affect the responses of the frogs. Females were never tested more than once in the same experiment. The phonotaxis results showed that there were no side biases.

Statistical analysis
Pearson chi-square was used to evaluate differences in female preference for the stimuli (n C 40) used in this study and for differences in the proportion of females who did not meet the phonotaxis response criterion. Fisher's exact test was used to examine female preferences for call pairs with the same fundamental frequency but varying noise added (n \ 40). The Mann-Whitney rank sum test was used to compare female response time between the noise vs no added noise stimulus pairs and stimuli with high amplitude noise vs low amplitude noise in experiment 1 and experiment 2. All statistical analyses were carried out with SPSS 16.0 software (SPSS Inc., USA) and sigmaplot 11 software (Systat Software Inc., San Jose, USA). A significance level of p \ 0.05 was used in all comparisons.

Female call preferences
Female choices for the phonotaxis experiments comparing all pairs of the eight test calls are shown in Table 2. In experiment 1 (i.e., comparing call stimuli of high dominant frequency with no noise, low amplitude noise or high amplitude noise added), both the proportion of subjects choosing HL vs HN and that of HH vs HN did not differ significantly (Pearson chi-square: test 1, v 2 = 0.19, p = 0.663; test 2, v 2 = 0.439, p = 0.508); however, females preferred HH to HL (Fisher's exact test: p = 0.014) ( Table 2). In experiment 2, call stimuli of low dominant frequency were used with no noise, low amplitude noise or high amplitude noise added (i.e., LN, LL and LH stimuli). For experiment 2, we found that female call preferences were consistent with the results of experiment 1. Thus, female preferences between call pairs with the same frequency but varying noise added were not significantly different in LL vs LN and in LH vs LN (Pearson chisquare: test 4, v 2 = 0.439, p = 0.508; test 5, v 2 = 0.19, b Fig. 1 Waveforms (top panels) and spectrograms (bottom panels) of the six acoustic stimuli used in the female phonotaxis experiments.  p = 0.663), but LH was more attractive than LL (Fisher's exact test: p = 0.044) ( Table 2).

Female response time
Female response times in experiment 1 and experiment 2 for all pair comparisons of the six test calls are shown in Fig. 2. In experiment 1, female response time was significantly longer for the high-frequency stimulus pairs of HL vs HN and that of HH vs HN (median 8 min) compared to that of HH vs HL (median 4.5 min) (Mann-Whitney rank sum test: U = 2192.5, p = 0.037). Likewise, female response time was longer for the low-frequency stimulus pairs of LL vs LN and that of LH vs LN (median 10 min) compared to that of LH vs LL (median 8 min), although these differences were not statistically significant (Mann-Whitney rank sum test: U = 2523, p = 0.089).

Stream noise in the absence of advertisement calls
In experiment 3, the proportion of responsive females that chose the sound of running water (RW) over the white noise (WN) or silence (S) stimuli did not differ significantly (Pearson chi-square: test 7, v 2 = 0, p = 1.0; test 8, v 2 = 3.2, p = 0.074) ( Table 2). Furthermore, over 50% of the females failed to meet our response criterion in this experiment, which is significantly higher than the proportion in experiment 1 (proportion: 40%; Pearson chi-square: v 2 = 6.0, p = 0.014) and the proportion in experiment 2 (proportion: 45%; Pearson chi-square: v 2 = 2.4, p = 0.076) (Fig. 3). These results suggest that the sound of running water is not in itself attractive to female frogs.

Discussion
It has been widely known that stream noise can constrain sound communication by interfering with the propagation of acoustic signals and the receiver's perception of the signal, and that these phenomena can drive the evolution of sexual signals and perceptual systems (Brumm and Slabbekoorn 2005;Feng et al. 2006;Shen et al. 2008). It is also widely known that many species from varying taxa show remarkable adaptations or behavioral plasticity for coping with noise (Haddad and Giaretta 1999;Boeckle et al. 2009;Shieh et al. 2012;Caldart et al. 2016). However, there is little evidence indicating that animals use the sound from fast-flowing streams as a signal. In the present study, female little torrent frogs showed a preference for calls with high amplitude noise compared with low amplitude noise in tests involving both high dominant frequency and low dominant frequency calls while stream noise itself had no attractiveness. These results suggest that stream noise is a cue that can provide information salient to females of streamside breeding species when listening to male calls. In many species, males vocalize to attract mates and their calls serve as acoustic beacons to conspecific females as well as to eavesdropping predators and parasites (Tuttle and Ryan 1981;Tuttle et al. 1985;Dapper et al. 2011). Prey can use ambient noise to avoid predators; for instance, masking background noise may benefit prey species because it can reduce the foraging success of predators (Barber et al. 2009). Apart from natural biotic noise, Fig. 2 Female response times in phonotaxis experiment 1 (Hsps 1-2, n = 146; Hsps 3, n = 38) and experiment 2 (Lsps 4-5, n = 159; Lsps 6, n = 38). Box plots show the median response with interquartile range and the 25th and 75th percentile. *p \ 0.05. Hsps high-frequency stimulus pairs of experiment 1, Lsps low-frequency stimulus pairs of experiment 2 Fig. 3 Proportions of females that met and did not meet the phonotaxis response criterion in the Hsps, Lsps and Rwsps experiments (Hsps, total n = 184; Lsps, total n = 197; Rwsps, total n = 171). *p \ 0.05. n.s. not statistically significant, Hsps highfrequency stimulus pairs of experiment 1, Lsps low-frequency stimulus pairs of experiment 2, Rwsps the running water stimulus pairs of experiment 3 animals also can make use of abiotic noise as a signal in orientation. Studies on marine mammals suggest that ocean noise caused by waves or currents plays an important role in migration and orientation behavior (Richardson et al. 1995). Moreover, many reproductive sites such as burrows, holes, nests and hides provide safety and security for mating, egg laying or the raising of offspring. Information about these microhabitats can be encoded by sounds. For instance, male Emei music frog (Babina daunchina) calls convey information about the geometry of nest burrows which is salient to females (Cui et al. 2012). Interestingly, male little torrent frogs often vocalize at rocky and fastflowing sites where amplexus and spawning occur in hidden holes and gaps, while females often inhabit the forested areas along the sides of streams during the breeding season. Thus, it is possible that stream noise can be beneficial for avoiding predators and orienting in this stream-breeding species.
Surprisingly, in the present study, female torrent frog preferences were not significantly different in either the HH vs HN and HL vs HN stimulus pairs, or the LH vs LN and LL vs LN stimulus pairs (Table 2). Male little torrent frogs never emit sounds far away from flowing stream water in their natural habitat. For this reason females would not normally hear male calls in the absence of stream noise at the distance (1 m range) used in the phonotaxis studies here. Thus, it is likely that the HN and LN sounds functioned as novel stimuli for female frogs in our study.
Many studies indicate that songbirds and frogs are more sensitive initially to the playback of a novel stimulus. In such cases the animals manifest changes in many aspects of observable behaviors such as staying closer to the speaker in playback experiments or flying short distances more frequently (Davis 1987;Blanchard 1941;Verner and Milligan 1971;Owen and Perrill 1998;Kroodsma 2015). In the absence of stream noise, higher SNR calls are easier to process and easier for females to perceive, although this condition does not normally occur in their natural habitat. The response to HN and LN stimuli would be enhanced by sensitization to novel stimuli and by the advantage which such stimuli would have for female perception. This idea is supported by the fact that female response times were longer in tests 1-2 than in test 3, and longer in tests 4-5 than in test 6 ( Fig. 2), implying that female choice is more difficult when it involves novel calls with no added noise compared to female choice involving call pairs in which both stimuli contain added stream noise, since such calls are typical in the natural habitat.
Growing research also suggests that sexual choice may not be consistent across females, and often fluctuates greatly depending on the environmental context (Edward and Gilburn 2007;Pfennig 2007;Bussiere et al. 2008;Fricke et al. 2009;Robinson et al. 2012). In this study, male calls were much louder than stream noise, so females positioned sufficiently far from the calling site would likely hear the male calls with little or no background noise. The behavioral strategy of females (i.e., female torrent frog preferences were not significantly different in either the HH vs HN and HL vs HN stimulus pairs, or the LH vs LN and LL vs LN stimulus pairs) may reflect trade-offs between the advantages of seeking nearby reproduction sites identified by noise cues and the advantages of seeking new reproduction sites. Put another way, noise associated with the calls of nearby males can be informative; however, there may be advantages for females in selecting males whose calls are not associated with stream noise because they are not close by. Further study is needed to determine whether the preferences observed here for stimulus pairs with the same fundamental frequency in noise vs silence reflect such context-dependent strategies.
Taken together, our results demonstrate that stream noise can be a cue that is salient to females. Stream noise in the context of male vocalization may inform females about microhabitats in streamside species. Our data also provide experimental evidence supporting the idea that female mate choice is influenced by variation in ecological factors not strictly related to male phenotypes. Ecological variation is common in the field. Therefore, this work can increase our understanding of how sexual selection influences female perception of mate attractiveness in complex and diverse environments.