Evaluating community-wide temporal sampling in passive acoustic monitoring: A comprehensive study of avian vocal patterns in subtropical montane forests

2.1 Study area

This study was conducted in the southern sector of Yushan National Park (YSNP) situated in central Taiwan, encompassing an expanse greater than 100,000 hectares (Underlying data: Figure S1 (Wu et al., 2023)). YSNP is named after Yushan or Jade Mountain, renowned for its highest peak in Northeast Asia with an elevation of 3,952 meters. This national park is pivotal in sustaining high-altitude ecosystems, transitioning from subtropical zones at its base to alpine zones at higher altitudes. The mean annual precipitation recorded is around 3,600 mm. Altitudinal variation influences the average annual temperatures: approximately 20°C at 1,000 meters, around 10°C at 2,500 meters, and roughly 5°C beyond 3,500 meters (Minister of the Interior, 2022).

2.2 Soundscape data collection

For the data collection, 14 PAM stations were deployed within the study area. These stations spanned a distance of approximately 10 kilometers along the Southern Cross-Island Highway, from Meishan (23°15′51″N, 120°49′33″E) to Yakou (23°15′51″N, 120°57′28″E) (Underlying data: Figure S1 (Wu et al., 2023)). The altitude of the initial station, SCIH07, was 1,500 meters, and subsequent stations were set up at 100-meter elevation increments, terminating at an elevation of 2,800 meters with station SCIH20. The distance between any two adjacent stations ranged from 750 and 1,850 meters. This elevation gradient encapsulated four distinctive vegetation types: submontane evergreen broad-leaved forest, montane evergreen broad-leaved forest, montane mixed coniferous-broadleaved forest, and upper montane coniferous forest (Minister of the Interior, 2022) (Underlying data: Table S1 (Wu et al., 2023)).

Each PAM station was equipped with a Song Meter Mini recorder (Wildlife Acoustic Inc.) designed to capture soundscape data. These devices, anchored to trees at an average height of 1.5 meters, operated continuously throughout the day between March and June 2021. This period corresponds with the breeding season of the region’s montane forest avian species. The recording configurations were set to mono mode, capturing audio in a 16-bit WAV format with a sampling rate of 44.1 kHz. To facilitate subsequent analytical procedures, the recordings were segmented and stored in three-minute durations.

2.3 Target species

To gain a comprehensive understanding of individual species’ status within a community, we utilized ecological guilds as our primary criterion for selecting target species. Ding (1993) cataloged 59 avian species recognized as montane forest breeders and categorized them into 12 distinct ecological guilds within YSNP: raptorial carnivores (RC), ground graminivores (GG), ground omnivores (GO), ground insectivores (GI), bush insectivores (BI), tree fruitivores (TF), tree omnivores (TO), tree insectivores (TI), bole gleaners (BG), bole peckers (BP), tree hoverers (TH), and air flycatchers (AF).

To identify our research’s target species, a singular species was selected as a representative from each guild. When a particular guild included more than two species, we used trait data from Tsai et al. (2020) regarding Taiwan’s breeding birds to inform our selection. The species that manifested an altitudinal distribution most congruent with our study’s objectives was then chosen.

As a result, we designated 12 bird species as our primary focus, including Collared Owlet (Taenioptynx brodiei), Large-billed Crow (Corvus macrorhynchos), Taiwan Bush Warbler (Locustella alishanensis), Grey-chinned Minivet (Pericrocotus solaris), Taiwan Vivid Niltava (Niltava vivida), Eurasian Nuthatch (Sitta europaea), Taiwan Rosefinch (Carpodacus formosanus), Taiwan Yuhina (Yuhina brunneiceps), Taiwan Shortwing (Brachypteryx goodfellowi), Ashy Wood-Pigeon (Columba pulchricollis), Green-backed Tit (Parus monticolus), and Gray-headed Woodpecker (Picus canus). Each of these species was emblematic of the 12 aforementioned guilds (Underlying data: Table S1 (Wu et al., 2023)).

2.4 Vocal detection and performance evaluation

We selected SILIC, an automated wildlife sound identification tool recently developed based on the YOLOv5 object detection model and spectrogram images (Wu et al., 2022), for detecting bird vocalizations in our study. This choice was primarily motivated by two key attributes of SILIC. Firstly, it can recognize the vocalizations of 141 bird species native to Taiwan, encompassing all of our 12 target species. Secondly, SILIC offers a unique capability to detect each vocalization’s exact start and end time within an audio recording at the millisecond level, rather than merely identifying the presence or absence of a certain vocalization within a broad time frame. This feature enables precise computation of the VAR, a crucial metric for our research.

SILIC categorizes sounds into ‘sound classes’ rather than by species. Of the 12 target species we studied, each had 1 to 5 sound classes in SILIC, including ‘song’, ‘call’, ‘drumming’, and ‘unknown’ (a classification with an undetermined function). As song is common during many bird species’ breeding, it was our primary choice. If multiple song classes were provided by SILIC, we consulted experts to select the prevalent one. For species without a song or if the song was understated and hard to discern, we chose a frequently observed sound class. Accordingly, ‘song’ represented 9 of the 12 species, ‘call’ 2, and ‘unknown’ 1. The spectrograms representing the selected sound classes are provided in the Underlying data: Figure S2 (Wu et al., 2023).

We utilized SILIC to extract vocalizations of our target species from the soundscape recordings. Each three-minute recording was segmented into three-second spectrogram clips and analyzed using a one-second sliding window. Due to the overlapping nature of the sliding window, one vocalization might be detected multiple times. For detections of the same species within a single recording, if the intersection area of two overlapping bounding boxes (each bounding box representing a specific vocalization in the spectrogram) divided by the area of the smaller bounding box exceeded 0.25 (Underlying data: Figure S3 (Wu et al., 2023)) or if the intersection area divided by the union area exceeded 0.1 (Underlying data: Figure S4 (Wu et al., 2023)), the two bounding boxes (vocalizations) were combined.

A random sample of 100 detected vocalizations for each species, each tagged with a confidence score (ranging from 0 to 1, indicating the level of certainty that the vocalization belongs to a particular species), was manually reviewed. This set of manually reviewed detections constituted our test dataset for evaluating the performance of SILIC on our soundscape recordings. We created a confusion matrix consisting of four parameters: true positives (TP), true negatives (TN), false positives (FP), and false negatives (FN). Subsequently, we calculated precision as TP/(TP+FP) and recall as TP/(TP+FN). Additionally, we computed the area under the receiver operating characteristic curve (AUC) and the average precision (AP), the latter being equivalent to the area under the Precision-Recall curve. Detailed calculations of these performance metrics can be found in the Underlying data: Appendix S2 (Wu et al., 2023). Finally, we identified the confidence scores corresponding to the maximum F1-score values and designated these as the threshold scores for each species. Detected vocalizations exceeding these confidence score thresholds were classified as positive detections and were incorporated in subsequent analyses.

2.5 Temporal sampling designs and statistical analyses

2.5.1 Environment factors

As previously stated, bird vocal activity is influenced by multiple factors. In addition to species and seasonality, it is also affected by environmental factors such as climatic conditions, topographic features, and vegetation type. Some of these factors, like topographic features and vegetation type, may remain constant throughout the survey period, while others may vary over time. When investigating the impact of temporal sampling on avian vocalization activity, it is crucial to collect as much information as possible about these environmental factors to comprehensively explore their influence on the VAR. We collected data on each station’s altitude (in meters) and vegetation types (as described in the Soundscape data collection section). Daily climate data, including corrected precipitation (Rainfall; mm), wind speed at two meters (WindSpeed; m/s), temperature at two meters (Temp; °C), relative humidity at two meters (RH; %), and surface pressure (SP; kPa), were downloaded from the NASA/POWER CERES/MERRA2 Native Resolution Daily Data website (https://power.larc.nasa.gov/data-access-viewer/).

We employed a forward stepwise selection approach to develop four GAMs to evaluate the relationship between the response variable, daily vocal activity rate (VAR_d, representing the quantity of vocalizations per day), and nine exploratory variables. VAR_d was calculated as the total daily vocalization count for each station and bird species separately. The initial model contained only categorical variables ‘Species’ and ‘Vegetation’, as well as their interaction effect. In the second model, a smooth term for ‘Altitude’ for each ‘Species’ was incorporated. The third model included five additional smooth terms for meteorological variables, namely ‘Rainfall’, ‘WindSpeed’, ‘Temp’, ‘RH’, and ‘SP’. Finally, a smooth term for the day of year (DOY) for each ‘Species’ was included in the final model.

As VAR_d is discrete and highly positively skewed count data, we chose a negative binomial distribution function and a log link function. The collinearity of explanatory variables was assessed using variance inflation factors (VIF), with variables demonstrating values greater than five being discarded, following Zuur et al. (2007). A Thin Plate Regression Splines (TPRS) smoother was employed for each smooth term as it can capture a wide variety of functional forms, making them suitable for modeling complex nonlinear relationships without having to specify the functional form in advance. The performance of the models was assessed by calculating the deviance explained and Akaike’s Information Criterion (AIC). The analyses were conducted using the “mgcv” package (version 1.9-0) in R statistical software (version 4.3.1).

2.5.2 Short-term periodic sampling

In a single survey season, should there be an insufficient number of ARUs for concurrent recordings across all sampling sites, necessitating rotation, discrepancies in temporal setup could introduce biases. Such inconsistencies might undermine the reliability of subsequent analyses. For example, shifts in breeding statuses over time might influence vocalization frequencies (Slagsvold, 1977). Thus, during experimental design, it is imperative to target a timeframe wherein temporal variations in avian vocalizations are minimal. Essentially, intervals should be chosen where daily vocal patterns remain sufficiently stable to complete rotation recording within that period. Given the time constraints associated with ARU rotation, reducing deployment durations at individual sites might allow more rotation cycles. Yet, exceedingly short recording spans might risk data bias (Pérez-Granados et al., 2019b). In the segment discussing short-term periodic sampling, we address two facets: (1) Time window: pinpointing intervals throughout the PAM survey season when bird acoustic activity is relatively uniform; and (2) Survey duration: ascertaining the required days for a PAM survey to garner representative data.

For the time window, we employed HCA to group dates with similar vocal activity patterns. We first calculated daily VAR (VAR_d) separately for each station and species, and normalized the data using Z-score normalization to achieve a mean value of zero and a standard deviation of one. Subsequently, we conducted HCA to identify dates with Euclidean distance and Ward’s linkage. The root-mean-square error (RMSE, the square root of the sum of squared distances between any two samples within a cluster divided by the number of samples) and the within-cluster maximum distance (WCMD, the greatest distance between any two samples within a cluster) were computed as indicators of data homogeneity within clusters. The clustering analysis and metric calculations were performed using Python (version 3.10.9), with the SciPy (version 1.10.0) and Scikit-learn (version 1.2.1) packages. Visualization was accomplished using the Matplotlib package (version 3.7.0).

For the survey duration, we utilized the CV of daily VAR (VAR_d) values across various consecutive survey durations as an evaluation metric to assess the influence of different consecutive survey durations on the reliability of VAR_d values. Initially, we defined the consecutive survey durations between one to 14 days for test based on the PAM deployment durations used in previous works (Machado et al., 2017; Wood et al., 2020; Metcalf et al., 2021; Rumelt et al., 2021; Jahn et al., 2022). For each duration, starting from day one, we extracted the corresponding data, calculating the VAR_d values and their mean. Upon completion of calculations, we moved forward day by day and repeated the extraction and calculation process for the same duration until all days were covered. Finally, from the obtained average VAR_d values, we calculated their standard deviation and mean. The ratio of these two values yielded the CV. We applied this calculation to each homogeneous cluster obtained from the Time window analysis, allowing a comparative assessment of CV differences across clusters.

2.5.3 Diel sampling

To conserve both the storage capacity of audio files and the time required for analysis, recordings are typically sampled during peak vocalization periods of target species within a day. We divided the day into 24-hour segments. Using a GAM, we evaluated the association between an hourly VAR response variable (VAR_h, denoting the quantity of vocalizations per hour) and three explanatory variables: species (categorical), DOY (smooth term), and hour (smooth term). Due to the same rationales applied in the environmental factor analysis, we employed a negative binomial distribution with a log link function and a TPRS smoother. The collinearity of the explanatory variables was evaluated using the VIF; variables with VIF values greater than five were excluded. To represent the 24 hours in a day, a value of 24 basis dimensions (k) was utilized. All analyses were performed using the “mgcv” package (version 1.9-0) in the R statistical software (version 4.3.1).

2.5.4 Hourly sampling

As we conducted continuous 24-hour recordings each day, we possessed comprehensive recording data, enabling us to simulate different hourly sampling designs and examine their impacts on the VAR value per minute (VAR_m). We concentrated on two main dimensions: coverage (representing the ratio of time recorded in an hour) and dispersion (indicating the number of recording intervals within an hour, with an X:Y format signifying cycles of X minutes of recording followed by Y minutes of inactivity). Based on seven coverage patterns, we simulated 21 unique sampling combinations for each hour, as elaborated in Table 1. For every species, date, and hour, we derived the mean VAR_m values from both continuous recordings and various sampling strategies, subsequently determining the difference between these values. In the end, we computed the average difference in VAR_m values across different species and sampling designs. A reduced mean difference indicates closer alignment between the VAR_m values from continuous recording and a particular sampling design.

3.1 Vocal detection

Between March 1 and June 30, 2021, spanning 122 days, a total of 789,986 three-minute audio files were collected across 14 sampling stations, approximately totaling 39 thousand hours. During this period, two stations, SCIH11 and SCIH18, failed to record audio files from mid-May to mid-June due to memory card issues. These two stations were subsequently excluded from further analysis. Of the remaining 12 stations, due to deployment scheduling, equipment operation, and battery management issues, at least one station had days where recorded data did not reach 23.5 hours for a total of 10 days. Data from these specific days (i.e., DOY 60–62, 141, 168, and 177–181) were also omitted from further analysis. Hence, data from 12 stations over 112 days continued for subsequent analysis.

We employed SILIC (Version exp29) for automated sound detection. Upon manual inspection by experienced bird surveyors of the 1,200 randomly sampled entries detected, 424 were confirmed as true detections, while 776 were false detections. AUC scores for each species, derived from the test set, ranged from 0.87 to 1.0, and AP scores ranged from 0.85 to 1.0. This demonstrates the excellent detection performance of SILIC within the scope of this study, making it apt for further analysis.

We selected the confidence score at which the precision score for each species was not less than 0.95 as the threshold to minimize the occurrence of false positives. Sound detection results with a confidence score greater than or equal to the threshold were screened for subsequent analysis. In total, 8,202,731 vocalizations from 12 species were detected, with the Taiwan Yuhina having the highest count at 2,863,838, and the Gray-headed Woodpecker the lowest at 23,312. Detailed data on vocalizations detected by SILIC can be found in the Underlying data: a compressed file “VAR_m_all_columns.zip” and a summary as presented in Table S2 (Wu et al. (2023)). For comprehensive information on the test datasets, threshold values, and various performance metrics for each species, please refer to the Underlying data: Table S3 (Wu et al. (2023)). Precision and recall curves are provided in the Underlying data: Figure S5 (Wu et al. (2023)).

3.2 Environment factors

Collinearity tests revealed that the variance inflation factor (VIF) for all exploratory variables was below 5, hence all variables were retained for forward stepwise GAM modeling and fitting. When only using species and vegetation types as predictors, the deviance explained is 50.1%. Incorporating altitude as a smoothed term, differentiated by species, increased the deviance explained to 62.9%. Subsequently, by adding five climatic variables as smoothed terms, the deviance explained rose to 68%. Finally, introducing DOY while distinguishing among species further increased the deviance explained to 73.2%. This demonstrates that each variable contributes to the prediction of daily vocal activity rate (VAR_d), as shown in Table 2.

The model with the lowest AIC, encompassing all nine exploratory variables, was chosen. Most fixed effects and all smoothed terms (including altitude, DOY, and climatic variables) were found to have a significant impact on the predictive capacity of the model, as detailed in the Underlying data: Table S4 (Wu et al., 2023).

While all 12 species exhibited significant correlations between DOY and the VAR_d, the patterns of these relationships were not consistent across species. Some species displayed a strong positive correlation in the early stages of the survey period, which shifted to a pronounced negative correlation in later stages. Conversely, other species demonstrated the opposite pattern (refer to the Underlying data: Figure S6 (Wu et al., 2023)). Similar inconsistencies between species were observed in relation to altitude (see the Underlying data: Figure S7 (Wu et al., 2023)).

When rainfall was less than 40 mm, there was no apparent influence on VAR_d. However, beyond this threshold, VAR_d showed a rapid decrease, with effects diminishing after approximately 60 mm. Wind speeds of up to 3.0 m/s had no discernible effect on VAR_d, but rates declined sharply beyond this speed. For temperatures up to 20°C, VAR_d gradually increased as temperatures rose, with no apparent effects beyond this threshold. Relative humidity had a slight negative effect on VAR_d once it exceeded 80%. As for atmospheric pressure, the impact on VAR_d shifted from negative to positive as pressure moved from low to high. For more detailed information, please refer to the Underlying data: Figure S8 (Wu et al., 2023).

3.3 Short-term periodic sampling

Upon examining the dendrogram derived from HCA (Figure 1), it becomes evident that at a Euclidean distance of 35, the entire survey period can be partitioned into five distinct clusters. Within each cluster, the VAR_d patterns of different bird species at each PAM station are similar among days within the same cluster but differ from those in other clusters. Notably, Clusters 3, 4, and 5 exhibit substantially lower root-mean-square error (RMSE) and within-cluster maximum distance (WCMD) values compared to Clusters 1 and 2, indicating more homogeneous distributions of VAR_d within these clusters (Table 3). An observation of the DOY distribution within the five clusters reveals a largely sequential pattern over time, with only two exceptions (DOY 83 and 119) both falling within Cluster 5. Clusters 1 and 2 encompass 12 and 18 days respectively, approximately aligning with the first and latter halves of March. Conversely, Clusters 3, 4, and 5, each containing no fewer than 25 days, roughly correspond to the months of April, May, and June, respectively (Figure 2).

Figure 1. Hierarchical clustering of dates by vocal activity patterns.

Dendrogram derived from hierarchical clustering of dates based on daily vocal activity. At a Euclidean distance threshold of 35 (indicated by the grey dashed line), five clusters are discerned (numbered circles).

Figure 2. Short-term periodic representation of vocal activity clusters and rainfall.

The outer ring indicates vocal activity clusters distinguished by colors: 1 (red), 2 (orange), 3 (blue), 4 (green), and 5 (yellow). Day of Year (DOY) is shown clockwise from the top on the ring's periphery. Within this ring, dashed lines represent rainfall (in mm) from the SCIH13 PAM station, centrally located in the survey area. Two outlier dates in Cluster 5 correspond to rainfall events. The inner ring denotes the months: March to June.

In Figure 3, the CV of mean VAR_d values spanning one to fourteen consecutive recording days is presented. It is important to note that the sample size (number of days) varies among clusters, particularly with Clusters 1 and 2 having significantly fewer samples compared to the other three clusters. Clusters with a smaller sample size may yield lower CV values compared to those with a larger sample size. Therefore, our discussion focuses primarily on Clusters 3, 4, and 5, which have relatively larger and similar sample sizes. Among the three, Cluster 4 exhibits the lowest CV values, where the decline becomes less pronounced after recording for more than seven days. Conversely, the decrease in CV values for Clusters 3 and 5 persists until recordings reach 14 days, with their final CV values still slightly exceeding that of Cluster 4 when the recording duration is set at seven days.

Figure 3. Variation in daily vocal activity rate among clusters.

The graph displays the Coefficient of Variation (CV) against consecutive survey days (X-axis) for distinct clusters identified through hierarchical clustering (represented by colored lines). The number of days in each cluster is indicated in parentheses next to the cluster number in the legend. The Y-axis marks the CV values. Interpreting CV values for clusters 1 and 2 should be cautious, particularly for extended survey durations. Their limited days might result in artificially low CV values, potentially underestimating variation.

3.4 Diel sampling

Collinearity analysis revealed that the variance inflation factor (VIF) for all explanatory variables was less than 5. Thus, all variables were retained for GAM modeling. The fit of the GAM indicated a deviance explained of up to 80.8% (adjusted R² = 0.70). All species exhibited a significant influence on VAR_h with respect to the hour (p < 0.001). Dawn and dusk are defined as approximately an hour before and after sunrise and sunset, respectively. Given the study’s duration of four months, sunrise times oscillated between approximately 5 am and 6 am, while sunset times ranged from around 6 pm to 7 pm. Consequently, dawn is represented from 4 am to 7 am, and dusk from 5 pm to 8 pm.

Observations from Figure 4 regarding the hourly impact on VAR_h reveal that, except for the Collared Owlet and the Taiwan Bush Warbler, the remaining 10 species exhibited a significant positive influence on VAR_h during dawn. This influence gradually declined during the day and swiftly transitioned from a positive to a negative impact at dusk. Throughout the night, a consistent, highly negative influence was observed. The Collared Owlet displayed rapid fluctuations in its influence on VAR_h during dawn and dusk, transitioning from a mild positive effect during the day to a negative one, and maintaining a mildly negative influence at night. The Taiwan Bush Warbler transitioned from a strong negative impact on VAR_h during the late night to a positive one, peaking just before dawn and then declining. During the day, it transitioned from a mild positive to a negative influence, and finally, it exhibited intense fluctuations during dusk, soaring from a negative to a pronounced positive influence before plummeting to a strong negative impact.

Figure 4. Diurnal patterns of hourly vocal activity for twelve target bird species.

Each panel displays the GAM-predicted relationship between the hour of the day and the hourly vocal activity rate (VAR_h) for a specific species: (a) Collared Owlet, (b) Large-billed Crow, (c) Taiwan Bush Warbler, (d) Grey-chinned Minivet, (e) Taiwan Vivid Niltava, (f) Eurasian Nuthatch, (g) Taiwan Rosefinch, (h) Taiwan Yuhina, (i) Taiwan Shortwing, (j) Ashy Wood-Pigeon, (k) Green-backed Tit, and (l) Gray-headed Woodpecker. The y-axis represents the smooth effect of hour on VAR_h for each species. The solid blue line represents the predicted deviation with a 95% confidence interval (blue dashed lines). A reference line is shown at Y=0 (red dashed line). A deep gray shade indicates nighttime, while dawn (approx. 4 AM to 7 AM) and dusk (approx. 5 PM to 8 PM) are highlighted in light gray, reflecting variations due to sunrise and sunset times over the study's four-month span. Accompanying each plot are the estimated degrees of freedom (edf) and significance codes (*** p < 0.001, ** p < 0.01, * p < 0.05).

3.5 Hourly sampling

Analysis of 21 distinct combinations of coverage and dispersion revealed that higher proportions of recording time, coupled with shorter and more dispersed recording segments, result in VAR_m values from sampling more closely aligning with those from continuous recordings. This trend was consistent across all target species, as illustrated in Figure 5.

Figure 5. Comparison of vocal activity rates across sampling designs for twelve target bird species.

The graph showcases the mean differential VAR_m (vocalizations per minute) between continuous recordings and various sampling methods for each species. Each subplot presents six species differentiated by unique colors. The x-axis lists sampling designs, ordered by decreasing coverage (proportion of the hour recorded) and dispersion (denoted as X:Y, indicating X minutes of recording followed by Y minutes of pause). A reduced mean differential suggests a closer match between the VAR_m from the sampling method and the continuous recording.

4.1 Species and environmental factors

Our study elucidates how vocal activity in subtropical forest-dwelling birds is influenced by species, temporal factors, and external environmental conditions. We show that the VAR pattern is strongly affected by individual species’ interaction with vegetation, altitude and DOY. Climate also plays a significant role, impacting VAR across all species. These findings emphasize the significant challenges posed by utilizing PAM to infer the population status and trends of a specific species. These challenges become even more pronounced when the monitoring effort is directed at multi-species bird assemblages, especially when constrained by equipment and time. Consequently, choosing the most appropriate recording sampling design is crucial to ensure data representativeness and comparability.

4.2 Short-term periodic sampling

Throughout a bounded time period, like the breeding season examined here, researchers often consider the entire duration as a closed population, executing repeated data collections and comparative analyses within this window (Baillie, 1991). However, our analysis of short-term periodic sampling revealed pronounced species-specific temporal variations in vocal data over the course of the time sequence. We partitioned the survey season into five clusters, each reflecting relatively consistent vocal patterns. The vocal behaviors within the first two clusters displayed notable intra-cluster variability, potentially attributable to temporal nuances in breeding phases and vocalization rates among different species (Slagsvold, 1977). Given the observed variability in vocal behaviors early in the season, we recommend extra care when starting acoustic surveys at the beginning of the breeding season. In our study, Clusters 3 and 4 were identified as the optimal periods for acoustic surveys, as these intervals exhibited the lowest variation in vocalization activity across species. Moreover, these consecutive time frames totaled nearly eight weeks, offering greater flexibility in managing the rotation of recording devices.

For intervals characterized by minimal daily vocalization frequency shifts, we propose that a continuous 14-day recording effectively diminishes sampling variance. During phases with even more consistent patterns, such as the fourth cluster identified in this study (circa May), a seven-day recording suffices. Moreover, we advise discarding data from days with rainfall exceeding 40 mm and average wind speeds surpassing 3.0 m/s. These environmental conditions have been empirically demonstrated to considerably dampen vocal activity rates, a phenomenon corroborated in other avian studies (Vokurková et al., 2018; Robbins, 1981).

4.3 Diel and hourly sampling

Regarding diel sampling, even though our primary emphasis was on diurnal birds peaking in morning vocalizations, certain species, like the Taiwan Bush Warbler in this study, and approximately 30% of North American birds vocalize nocturnally (La, 2012). We therefore recommend sampling approximately one hour before and after sunrise to coincide with the morning chorus. If resources permit, recording sessions could commence from midnight to encompass vocal peaks of nocturnal species (Schaaf et al., 2023; Pérez-Granados & Schuchmann, 2020; Odom & Mennill, 2010).

In terms of hourly sampling, our findings align with studies on marine mammals, indicating that longer recording durations combined with shorter, more spaced-out intervals, yield vocal activity rates similar to continuous recordings (Thomisch et al., 2015). The scope of our investigation was confined to examining the effects of dispersion at the minute level, without delving into higher temporal units such as hours or days. This specific focus was dictated by the prevailing limitation that most ARUs are currently only programmable at the minute level. Additionally, there is a noted scarcity in prior research that has formulated dispersion sampling strategies for intervals extending beyond minutes. Investigations in the future, exploring higher temporal scales, might yield further insights. These could potentially enhance the understanding of sampling methodologies that are capable of reducing the duration of recordings, while simultaneously maintaining the integrity and quality of the data collected.