2.1. Study Area
I conducted this study on Balcones Canyonlands Preserve (BCP), Travis County, TX, USA (30.40° N, −97.85° W). BCP is ~12,000 ha urban preserve located along the eastern edge of the Edwards Plateau ecoregion, typified by rolling to dissected hills dominated by mixed juniper forests [
29]. The climate is characterized as humid subtropical, with long, hot summers and mild winters; annual mean temperatures range from 13 to 27 °C and annual precipitation averages 746 mm [
29]. Spring 2011 was exceptionally dry and unseasonably warm due to a developing historic drought [
29].
I chose seven 40 ha plots distributed across the BCP to sample within; the density ranged from 0.07–0.48 males per plot. The vegetation structure of all plots comprised closed-canopy woodland/forest dominated by Ashe juniper (Juniperus ashei), plateau live oak (Quercus fusiformis), Texas red oak (Q. buckleyi), shin oak (Q. sinuata), cedar elm (Ulmus crassifolia), and black cherry (Prunus serotina).
2.3. Field Methods
I recorded the singing behavior of male warblers from 3 April to 21 May 2010 and from 16 March to 21 May 2011. I chose these sample windows to capture the range of early-to-late breeding stages; singing rates are very low in June. I selected focal males with consideration for ease of monitoring (i.e., I chose males whose territory covered terrain that would make it relatively easy to closely follow them for long periods). Each male was monitored 1–4 times within the breeding season at different times of the day (6:55–16:30 CDT) to evaluate intra- and inter-male variation and the effects of time of day and day of year on singing rates. I surveyed singing behavior under low wind conditions and no precipitation, similar to the conditions that point count surveys are conducted under. I monitored both banded and un-banded males. Banded males were uniquely marked with two or three color bands and a numbered aluminum band issued by the U.S. Geological Survey prior to song sampling as part of long-term monitoring. Banded males were aged as second-year (“SY”) or after-second-year (“ASY”), based on the criteria described by Peak and Lusk (2010) [
31]. I delineated each focal male’s territory prior to observation to ensure I knew where to look for the male during availability surveys and throughout the season as part of long-term monitoring.
I sampled singing behavior of each focal male for 30–140 min per observation, beginning shortly after I located him and confirmed his identity. I discontinued the survey if I lost track of the male visually or vocally and discarded any surveys <30 min. For each minute during the observation period, I recorded if I detected the male by song, the song type, the number of conspecifics singing, and presence of a female or fledgling(s). All data was recorded on data forms. For a subsample of intervals, I also recorded the number of songs begun in a minute to calculate the song rate and the song type in order to characterize the relationship between song type and pairing status. I assigned pairing status and breeding stage for each sampling period. I categorized breeding stage as follows: (1) male unpaired during the observation period, (2) male paired during the observation period but pre-nesting, (3) male paired and nest was in the egg stage, (4) male paired and feeding nestlings, and (5) male paired and feeding fledglings. The pairing status and breeding stage could change for males that were surveyed multiple times within a season. I determined the breeding stage via intensive monitoring of the focal males throughout the breeding season and only included males whose breeding stage I was confident of for analyses involving breeding stage.
2.4. Statistical Methods
I truncated the recordings to ≤120 min per survey and included males of known pairing status. I conducted all analyses in R version 4.5.2 (R Core Team, R Foundation for Statistical Computing, Vienna, Austria). I modeled minute-level detections (DET; 0/1) with binomial GLMMs (logit link; package glmmTMB). I included male identity and survey ID (unique per male–survey) as random intercepts to account for repeated measures of males and multiple observations per survey. Fixed effects considered were the pairing status, presence of ≥1 conspecific singing, presence of a female, presence of dependent young, territory density (site–year specific), day of year, hour of day, breeding stage, and age (for banded males). Continuous predictors were centered and scaled as needed to aid convergence and interpretation [
32]. Fixed effects were evaluated with likelihood ratio
χ2 tests (LRT) by comparing the full model to reduced models that dropped the term of interest [
33,
34]. I obtained model-based marginal means (response scale) with proportional weighting across observed covariate distributions (package emmeans). I also computed an overall, population-level per-minute availability via a marginal estimate with proportional weighting across covariates and a raw mean for comparison.
To align with common point count durations, I aggregated 1 min series into non-overlapping 3, 5, and 10 min bins within male × survey. A bin was one if ≥1 song occurred, and otherwise it was zero. For each bin size, I fitted a binomial GLMM with random intercepts for male and survey, and fixed effects day of year, hour of day (bin midpoint, h), and ambient temperature (°C; Camp Mabry, Austin, TX, USA). I first tested all two-way interactions by LRTs against the additive model; none were supported at any bin size (all p > 0.10), so I retained the additive model for inference. I derived model-averaged availability per bin (marginal, response scale) using proportional weighting.
To evaluate song structure, I decomposed the minute–series into consecutive singing and silent bouts for surveys ≥45 min. The first and last bouts were treated as right censored because the full duration of the bout was not observed. Kaplan–Meier curves estimated bout length distributions, restricted mean lengths (±SE), and their confidence intervals. I tested group differences (singing vs. silent; paired vs. unpaired) using log rank tests (package survival). I used Wald–Wolfowitz runs tests to assess temporal dependence in bout sequences.
Because song types and song rates were also of interest, I assessed two complementary models on the song type and song rate subsets. First, I modeled the probability that a minute was Type A using aggregated counts cbind(nA, n − nA) at the male × survey level (random intercept for male; fixed effects = pairing status, day of year, hour of day, and territory density) in a survey-level binomial GLMM. Second, a minute-level Gaussian GLMM modeled songs·min−1 with song type (A vs. B) plus day of year, hour of day, territory density, and pairing status as fixed effects, and random intercepts for male and survey. These models allow statements about (a) how often Type A songs occur (probabilities) and (b) whether Type A and B songs differ in rate (songs·min−1), while adjusting for the same temporal and ecological covariates. The statistical significance was assessed at α = 0.05.
I included 60 unique males of known pairing status and ≥30 min of observation, in which I detected the focal male by song at least once in 124 of 133 surveys (93%). Nine males not detected by vocalizations during the surveys were detected visually; of these, one male was paired but pre-nesting, six males had nests in the incubation stage, one male was observed feeding fledglings during the survey, and one male had an unknown status. I monitored 44 color-banded males in 97 surveys, totaling 5126 observation min, and 16 un-banded males in 36 surveys, totaling 1391 min. Four banded males were monitored in both years but were treated as independent. The surveys averaged (±SD) 48.8 ± 33.1 (n = 65) and 47.8 ± 24.1 (n = 68) min in 2010 and 2011, respectively. I determined that males were paired during 109 surveys (82%). Five males changed pairing status between surveys (i.e., male was unpaired during ≥1 survey(s) and paired during ≥1 survey(s)). I classified breeding stage in 124 surveys, of which 24, 29, 43, 16, and 12 samples were classified as unpaired, paired but not yet involved in nesting, nest building or female incubating, pair feeding nestlings, and pair feeding fledglings, respectively. I detected conspecifics singing during 0.21 ± 0.41 of the total sampling min.