Ibis (2006), 148, 221–230 Geographical and seasonal gradients in hatching failure in Eastern Bluebirds Sialia sialis reinforce clutch size trends Blackwell Publishing Ltd CAREN B. COOPER,* WESLEY M. HOCHACHKA, TINA B. PHILLIPS & ANDRÉ A. DHONDT Laboratory of Ornithology, Cornell University, 159 Sapsucker Woods Road, Ithaca, NY 14850, USA Eggs untended during the laying phase can lose viability if exposed to high temperatures, such as those common at lower latitudes and late in the nesting season. The egg-viability hypothesis states that constraints on viability during the laying phase could account for latitudinal and seasonal gradients in clutch size. We used 7 years’ worth of data collected by volunteers (The Birdhouse Network, co-ordinated by the Cornell Laboratory of Ornithology) to look simultaneously at populations across the temperate breeding range of Eastern Bluebirds Sialia sialis in order to test three predictions of the egg-viability hypothesis: the probability of hatching failure decreases at higher latitude and increases later in the season, and that these trends are strongest among large clutches. The overall average number of unhatched eggs relative to the total number of eggs laid was similar to that found by other studies (7.8%; range 6.8–8.9% annually; n = 32 567 eggs from 7231 nests from 530 study sites). Using generalized linear mixed models that controlled for the non-independence of eggs within a clutch, we found that the ‘per-egg’ probability of hatching failure was highest late in the season, highest at lower latitudes, and highest for both small (three-egg) and large (six-egg) clutches. The seasonal and geographical gradients in egg hatching failure reinforce documented seasonal and geographical trends in clutch size. Loss of egg viability prior to incubation currently provides the most parsimonious and consistent explanation of the observed patterns of hatching failure. However, alternative explanations for large-scale patterns, particularly those not consistent with the egg-viability hypothesis, warrant further research into other causes of hatching failure, such as microbes and infertility (related to extra-pair mating). Our results demonstrate that investigating causes of variation in demography among local populations across a geographical gradient provides a potential means of identifying selection pressures on life-history traits. Stoleson and Beissinger (1999) hypothesized that the relationship between ambient temperature and egg viability may constrain latitudinal and seasonal trends in clutch size. As in other passerines, our study species, the Eastern Bluebird Sialia sialis, generally initiates incubation with the laying of the penultimate or ultimate egg (Deeming 2002). Eggs laid first in the sequence therefore have prolonged exposure to ambient environmental conditions prior to incubation. At temperatures below physiological zero (the temperature that triggers some embryonic development), unattended eggs in the pre-incubation phase can remain viable for extended periods (Dhondt *Corresponding author. Email: [email protected] © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union 1968, White & Kinney 1974, Webb 1987, Ewert 1992). Physiological zero is usually assumed to be at 24–26 °C for most bird species (Webb 1987). If eggs are exposed to extended periods of ambient temperatures above physiological zero but below optimal incubation temperatures (36–39 °C), the embryos will experience unsynchronized tissue growth, abnormal development and mortality (Deeming & Ferguson 1992, and references therein). The amount of pre-incubation exposure to unfavourable temperatures necessary to produce embryo mortality may vary among species, although 3 days may be the minimum (Stoleson & Beissinger 1999). As birds generally lay one egg each day until clutch completion, first-laid eggs in clutches of four or more eggs could lose viability. We also expect that the larger the clutch, beyond this 222 C. B. Cooper et al. minimum size, the greater the probability of an unhatched egg, because of the greater probability of eggs receiving prolonged exposure to ambient temperatures in the critical range. To prevent loss of egg viability, females can initiate incubation early. However, early incubation or contact with eggs may disrupt ovarian follicular growth and cause the cessation of laying (Haywood 1993a, 1993b), which would result in a smaller clutch size. In addition, early incubation may have fitness costs by limiting female foraging time (Slagsvold 1986, Moreno 1989). Thus, with or without early onset, females are unlikely to hatch large clutches successfully when temperatures are suboptimal. In a multi-species comparison, Koenig (1982) reported a linear decrease in hatching failure with increasing latitude, and speculated that this pattern was related indirectly to selection for greater fecundity at higher latitudes. Thus, large-scale trends in hatching failure may be relevant to our understanding of the evolution of clutch size variation, particularly variation that exhibits specific trends across spatial or temporal gradients. If egg viability constrains clutch size along latitudinal and seasonal gradients, then we expect hatching failure patterns within a species to reinforce these clutch size trends. In this paper we examine three predictions of the egg-viability hypothesis: the probability of hatching failure decreases at higher latitude and increases later in the season, and that both of these trends are strongest among large clutches. METHODS Eastern Bluebirds are abundant cavity-nesting passerines that exhibit a seasonal decline in clutch size as well as larger clutches at more northern latitudes (Gowaty & Plissner 2000, Dhondt et al. 2002). We examined the occurrence of hatching failure in nests across the temperate breeding range of the Eastern Bluebird (Fig. 1). The Birdhouse Network (TBN), administered by the Cornell Laboratory of Ornithology, relies on volunteers who collect information on cavity-nesting species using nestboxes. Volunteers report details of the nesting stages, such as when eggs were seen, the number of eggs, when eggs hatch, the number of unhatched eggs and when nestlings fledge (see www.birds.cornell.edu/birdhouse for more information). Each volunteer monitors from one to over 100 nestboxes (Fig. 1). We used data reported from between 1998 and 2004 inclusive. When TBN participants submit data, they are asked a series of questions regarding the details of each Figure 1. Observation sites span most of the temperature breeding range of the Eastern Bluebird. Filled black circles indicate < 5 nestboxes; open circles indicate 5–50 nestboxes; open squares indicate > 50 nestboxes. Not shown is a site in southern Arizona. © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union Hatching failure in Eastern Bluebirds nest attempt, including ‘Were there any unhatched eggs present?’ Participants can select the answer Yes, No or Unknown, or leave the answer blank. Participants can answer the next question, ‘If yes, number of unhatched eggs?’ as any number or unknown (unknown is the default, i.e. no blank possible). We established several criteria for records of nest attempts to be included in our analyses. We included nests for which at least one nestling was observed, thereby excluding clutches that failed completely to hatch. We included nests for which clutch size, number of nestlings and clutch initiation date were reported. After eliminating data that did not fit these criteria, only 1% of the nest attempts contained instances of egg loss other than that attributed to hatching failure (i.e. egg loss determined by fewer nestlings than eggs, but no unhatched eggs reported), and we excluded these from analyses. We also excluded approximately 10% of clutches which contained reporting errors indicated by a reported total clutch size unequal to the total number unhatched eggs plus maximum number nestlings (n = 861 clutches). We excluded clutches with fewer than three eggs (n = 57) and with seven eggs (n = 13) or more (n = 6) because there were few clutches of this size and we did not want those to have disproportionate effects on the model fit and parameter estimates. Response variables To compare the rates of hatching failure with results from previous studies, we computed the percentage hatching failure as the total number of unhatched eggs over the total number of eggs laid (×100). The distribution of hatching failure was skewed (significantly non-normal, Kolmogorov–Smirnov goodness 223 of fit test, D = 0.451, P = 0.01). Arcsine transformation (H = arcsine(√p), where p = proportion of unhatched eggs (Zar 1984)) was not successful in improving the fit of the data to a normal distribution (significantly non-normal, Kolmogorov–Smirnov test, D = 0.467, P = 0.01), and thus parametric analyses based on an assumption of normally distributed errors were not used. Instead, we chose to examine patterns in per-egg probability of hatching failure, using each egg’s failure (yes/no) as a binomial variable for all of our formal statistical analyses. A per-egg analysis does not require assumptions of normality and allows us to avoid the confounding influence of clutch size, because the probability of hatching failure in a clutch might increase with clutch size simply due to a higher probability of finding a single unhatched egg when more eggs were present. To analyse the Boolean response variable we used the GLIMMIX macro in SAS (Littell et al. 1996) with PROC MIXED, with a binomial error and logit link. The likelihood of individual eggs hatching is probably not independent for eggs within the same nest. We accounted for this non-independence by using a unique identifier of each nesting attempt as a random-effect variable in our statistical analyses. Predictive variables The independent fixed-effect variables in our statistical models were year, day of breeding season, latitude, longitude and clutch size, as well as various interaction terms (Table 1). Testing our predictions required two steps: statistical model selection followed by biological interpretation of the best model(s). Models A and E permitted testing only of the broadest predictions of the egg-viability Table 1. Series of models with varying fixed effects, listed with AICC values and support indicated based on the Akaike weight of the model within the set (w). K is the number of parameters. ∆AICC is the difference between the AICC of a model and the best model. A Year Day of season Clutch size Latitude Longitude Latitude × longitude Clutch size × latitude Clutch size × day of season AICC K ∆AICC w ✗ ✗ ✗ ✗ ✗ B ✗ ✗ ✗ ✗ ✗ ✗ 182 846.3 15 0 0.96 182 852.9 18 6.6 0.04 C ✗ ✗ ✗ ✗ ✗ ✗ 182 859.6 18 13.3 0.00 D ✗ ✗ ✗ ✗ ✗ ✗ ✗ 182 867.0 21 20.7 0.00 E ✗ ✗ ✗ ✗ ✗ ✗ 182 859.9 16 13.6 0.00 F ✗ ✗ ✗ ✗ ✗ ✗ ✗ 182 866.9 19 20.6 0.00 G H ✗ 182 872.9 19 26.6 0.00 ✗ ✗ ✗ ✗ ✗ ✗ ✗ ✗ 182 881.0 22 34.7 0.00 ✗ ✗ ✗ ✗ ✗ ✗ © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union 224 C. B. Cooper et al. hypothesis, namely that hatching failure decreases with latitude and increases with day of season. Models B, C, D and F, G, H, each of which contained interactions between clutch size and latitude and/or day of season, permitted testing of the more specific prediction of the egg-viability hypothesis, i.e. that large clutches at low latitudes or late in the season will experience the highest rates of hatching failure. We compared the relative strength of evidence of each model (Buckland et al. 1997) using a ranking paradigm based on AIC (Akaike Information Criteria) values and Akaike weights (Johnson 1999, Anderson et al. 2000). After selecting the best models from the set as judged by ∆AIC scores within 10 of the best models, and model-averaging the results across these models, we examined the parameter estimates and confidence limits to test predictions of the egg-viability hypothesis. Year and clutch size were treated as categorical variables so as not to impose an a priori rank. Because we wanted to distinguish between predictions of monotonic latitudinal variation in hatching failure with predictions of no spatial trends, preliminary analyses examined the latitudinal gradient in hatching failure to determine whether latitude should be included in the model as a categorical or continuous variable. In these preliminary analyses, we binned our data by latitude into 2° bands (roughly 200 km) and compared model A (Table 1) with binned latitude as a categorical variable to model A with binned latitude as a continuous, linear variable. Based on the large (> 4) difference in AICC values, the data were better described by models with binned latitude as a continuous variable. Importantly, even when latitude was treated as a categorical variable, the results revealed a monotonic latitudinal gradient rather than geographical variation unrelated to latitude. Specifically, within the band 28–34°N latitude, there were gradual, but steadily decreasing, changes in hatching failure among the 2° bins, and moving north within the band 36–48°N, probabilities of hatching failure dropped at an accelerating rate. Given the better AICC values of the continuouslatitude model and the apparent gradient across latitude, we used latitude as a continuous variable (without bins) in all subsequent models. Because the start of the breeding season varies with latitude (Peakall 1970, Dhondt et al. 2002, Cooper et al. 2005a, 2005b), the measurement of clutch initiation as ‘day-of-year’ is confounded by latitude (i.e. we do not wish to compare 30 March at 30°N latitude with 30 March at 46° latitude, but © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union instead compared dates relative to the start of the breeding season at a given latitude). We used a measure of clutch initiation that controls for latitudinal differences in the start of the breeding season (Cooper et al. 2005b). First, we divided the TBN data among 2° latitudinal bands, corresponding to even-numbered lines of latitude. Then, from all Eastern Bluebird nest attempts (n = 7310), we used the average date of clutch initiation for the earliest 1% of nests at each latitudinal interval to develop a regression equation to calibrate date according to latitude (Cooper et al. 2005b). RESULTS Percentage hatching failure Of the 32 567 eggs laid in 7231 nests and reported by 530 TBN participants, 2550 (7.83%) eggs failed to hatch. Annual values (7 years) ranged between 6.8% and 8.9%. Per-nest probability of hatching failure Only 23% (1665 out of 7231) of clutches contained one or more unhatched eggs. Nests that experienced hatching failure contained a median of one unhatched egg, but a mean of 1.53 ± 0.798 sd unhatched eggs and as many as five (n = 2). Approximately one in three nests at low latitudes (below 35°N) contained at least one unhatched egg, compared with approximately one in five at higher latitudes. Few nests contained unhatched eggs early in the season (approximately one in six nests before day 25 of the breeding season contained unhatched eggs, compared with approximately one in four later in the season). Per-egg probability of hatching failure In agreement with several predictions of the eggviability hypothesis and based on AICC values, models A and B were best supported by the data (Table 1). Model A received the highest support by the data, with an Akaike weight of 96%, and, in contrast to the most specific predictions of the eggviability hypothesis, this model contained no clutch size interactions. Yet, the best model did show variation in hatching failure with latitude, day of season and clutch size, results consistent with the eggviability hypothesis. The next best model, model B, did contain a latitude × clutch size interaction, but Hatching failure in Eastern Bluebirds 225 Figure 2. (a) Predicted per-egg probability of hatching failure (blocks) for each clutch size with 95% confidence intervals (lines). (b) Predicted per-egg probability of hatching failure (heavy line) across day of season with 95% confidence intervals (lighter lines). (c) Predicted per-egg probability of hatching failure (heavy line) across latitude with 95% confidence intervals (lighter lines). the confidence intervals associated with this interaction overlapped zero, which suggests that differences in latitudinal gradients among clutch sizes were at best weak or inconsistent. Using Akaike weights to average the two best models, the data showed that, as predicted, hatching failure increases later in the season and decreases at higher latitude. The relationship between hatching failure and clutch size is more complicated. As predicted, hatching failure was more likely in clutches of six than in clutches of four or five eggs. However, the hatching failure rate in clutches of three eggs was as high as in clutches of six (Fig. 2). The percentage per-egg probability of hatching failure varied from 1.3% in the northern part of the Eastern Bluebird range to 4.7% in the southern part of its range (Fig. 2), a decrease of 2.13% for every 10° increase in latitude between 30° and 46° (Koenig 1982 found a decrease of 1% for every 10° increase in latitude from the equator to 80°N). Estimated averages from the best-supported model showed failure rates of 1.9% at the start and 2.6% at the end of a 140-day nesting season, about a 0.15% increase per month (Fig. 2). DISCUSSION As hatching rate and clutch size are both reduced later in the season and further south, large-scale gradients in number of young produced in Eastern Bluebird nests are generated by clutch size trends and reinforced by parallel trends in hatching rates, with more young produced per nest in more northern locations and in earlier nests. There is an interesting contrast in the magnitudes of seasonal and latitudinal variation in clutch size and in hatching rate. With regard to clutch size, a greater proportion of variation is seasonal (> 1 egg) than is latitudinal (< 1 egg; Dhondt et al. 2002). By contrast, latitudinal variation in hatching failure is far greater than seasonal variation (a 3.4% change in probability of hatching failure across the range of latitudes examined, compared with only a 0.7% change across the breeding season). The concurrent patterns of a relatively small latitudinal trend in clutch size and relatively large latitudinal trend in hatching failure suggest that birds at low latitudes lay clutches that are larger than optimal. Conversely, the strong seasonal trend in clutch size combined with low seasonal trend in hatching failure rates suggests that birds laid clutches that were closer to optimal throughout the season. Taken together, this suggests a relatively strong past evolutionary response to selection for seasonal declines in clutch size, with ongoing directional selection for latitudinal gradients in clutch size but with genetic variation possibly being maintained by gene flow (Dhondt et al. 1990, Rytkonen & Orell 2001, Kawecki & Holt 2002, Postma & van Noordwijk 2005) in this partial migrant. Given higher ambient temperatures in summer than spring and at southern than northern latitudes, both seasonal and latitudinal trends in Eastern Bluebird hatching failure are consistent with the notion that the loss of egg viability prior to the full onset of incubation creates the observed gradients (Fig. 2 and Table 2). By this scenario, loss of egg viability acts as an overriding constraint on clutch size with diminishing importance at northern latitudes and increasing importance as the season progresses. Although our correlational evidence is consistent with many aspects of the egg-viability hypothesis, it does not validate all aspects of this hypothesis for three reasons. First, for our results to be consistent with the egg-viability hypothesis we need to assume that females cannot prevent loss of egg viability by the early onset of incubation. However, Cooper et al. (2005a) reported latitudinal and seasonal gradients in the duration of the apparent incubation period, suggesting that female Bluebirds at southern latitudes © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union 226 C. B. Cooper et al. Table 2. The hypothesized causes of hatching failure and predicted types of variation (indicated by ticks and crosses). Crosses indicate that the predictions rely on more than one assumption and/or that the direction of the predicted effect cannot be clearly predicted. Hypothesized cause Egg viability Infertility Female quality Lethal heating Genetic defects Low calcium Microbes Season Latitude ✓ ✗ ✓ ✓ ✓ ✗ ✗ ✓ and late in the season initiate incubation before clutch completion, perhaps to prevent loss of egg viability. Although other explanations for the gradients in apparent incubation period are possible (see Cooper et al. 2005a), it remains plausible that Eastern Bluebird females can, behaviourally, prevent at least some loss of egg viability. Secondly, the best model (Table 1) did not contain clutch size interactions with latitude and day of season and thus did not support the most specific prediction of the eggviability hypothesis: that eggs in large clutches at southern latitudes and late in the season should experience the highest likelihood of hatching failure. However, sample sizes may not have been sufficient to support models with clutch size interactions. Thirdly, egg viability alone cannot account for all observed trends in hatching failure. The remaining trend, elevated failure among three-egg clutches, must be accounted for by other factors, such as female condition (see below). Given the numerous, and not mutually exclusive causes of hatching failure (see Webb 1987 for review; also Veiga 1992, Walsberg & Schmidt 1992, Stoleson & Beissinger 1995, 1999, Graveland & Drent 1997, Greene 1998, Cook et al. 2003), it is plausible that large-scale patterns in hatching failure were the result of multiple factors. Most studies of hatching failure have been on a local scale and have demonstrated how site-specific variation is related to variables such as clutch size (e.g. Moreno et al. 1991), age (Potti & Merino 1996) and sociability (Koenig 1982). However, even within a single site, Potti and Merino (1996) suggested multiple causes of hatching failure in Pied Flycatchers Ficedula hypoleuca: loss of egg viability accounted for the low hatchability of eggs laid early in the sequence, and reduced fertility due to sperm depletion accounted for the low hatchability of eggs laid late in the sequence. Thus, © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union Variation without time/ space trends Clutch size Small Large ✓ ✓ ✓ ✓ ✓ ✓ ✗ neither the egg-viability hypothesis nor any other single hypothesis should be viewed as providing the full explanation for variation in hatching failure. Nevertheless, although local studies have advanced numerous explanations for hatching failure and Koenig (1982) investigated the presence of largescale patterns across species, to date only the eggviability hypothesis makes specific a priori predictions of large-scale patterns within a species. Although many causes of hatching failure may vary among populations (Table 2), below we review three causes that are likely to vary among populations in ways that correspond to gradients in latitude, season and clutch size. As such, the following factors might produce latitudinal, seasonal and clutch-size trends in hatching failure (Table 2): (1) exposure to lethal temperatures during embryo development, (2) effects of female age and quality, and (3) infertility. Lethal temperatures. After embryo growth has begun, embryos can die from exposure to the excessive heat (over 40.5 °C) common at lower latitudes and late in the season in temperate regions. Although latitudinal and seasonal trends in hatching failure seem consistent with embryo overheating, there are several problems with this explanation. First, lethal temperatures should affect all eggs in a clutch, irrespective of clutch size, but we observed an increase in hatching failure among extremely small and extremely large clutches. Secondly, females may time incubation to occur before periods of excessive lethal heat. As part of a different study (see Cooper et al. 2005a), we recorded temperatures in over 300 nests of the three bluebird species across the United States throughout the breeding seasons of 2002 and 2003. We found only one nestbox in which temperatures exceeded 40.5 °C while eggs were in the nest, which suggests that most female Eastern Bluebirds avoid incubating during periods of high heat. Thirdly, Hatching failure in Eastern Bluebirds 227 Table 3. Direction of selection for each trait, with positive signs indicating a higher value (e.g. higher survival in south) and negative signs a lower value (e.g. smaller clutch sizes in south). Latitude Clutch size Adult survival Extra-pair copulations Infertile eggs Figure 3. Temperature recordings in a nestbox (black line) and nest cup (grey line) of a Western Bluebird in California from 3 to 10 June 2003. Note that nest cup temperatures are not necessarily equivalent to egg temperatures, but represent a measure of the temperature near the eggs. even if Eastern Bluebird eggs encounter periods of lethal temperatures, females may maintain egg temperatures below ambient, as can other species nesting in extremely hot areas (e.g. shorebirds; Downs & Ward 1997). Yet, like other passerines, Eastern Bluebirds are intermittent incubators, leaving the nest frequently to forage. Therefore, even if Eastern Bluebirds can cool their eggs, there is still the potential for eggs to experience temperatures over lethal limits during the short periods when they are unattended. The one nestbox that exceeded lethal temperatures during incubation provided anecdotal evidence that female Western Bluebirds Sialia mexicana can actively cool the clutch, because the nest cup temperature remained below 40 °C each day that the box temperature peaked (sometimes going as high as 46 °C; Fig. 3), and the entire clutch hatched. In the same way as loss of egg viability, lethal heating is probably preventable and may vary with female quality or experience. Thus, if lethal temperatures play a role in the large-scale trends, female quality must help shape these patterns. Female quality/age/experience. Because low-quality and inexperienced breeders have been found to breed later in the season (Sæther 1990), a seasonal increase in hatching failure, especially among small clutches, could be explained by inexperienced or low-quality breeders providing poor prenatal attendance and thus failing to maintain optimal incubation temperatures (Table 2). Furthermore, a seasonal deterioration in food supply (Winkler & Allen 1996) is also consistent with seasonal increases in hatching failure. Female age (quality/experience) cannot easily explain the strong latitudinal trends in hatching North South + – + – – + – + failure. One possible, but tenuous, scenario is that different migratory tendencies among Eastern Bluebird populations across latitude correspond to different overwinter survival, resulting in populations at lower latitudes containing higher proportions of younger individuals. Whether overwinter survival of short-distance migrants differs from residents is unknown, but should clearly be a research priority. Counter to this explanation, the latitudinal pattern of hatching failure appears to be a continuous linear gradient rather than a step-function between the migratory and non-migratory portions of the Eastern Bluebird range. Female age also cannot account for the elevated hatching failure among six-egg clutches. The hypothesis that the combination of female age and egg viability accounts for observed patterns of hatching failure is plausible, and perhaps the most parsimonious combination of causes. Infertility. A seasonal increase in infertile eggs could be attributed to a seasonal decline in sperm production (Lombardo et al. 2002). Currently, there are no data demonstrating a latitudinal gradient in sperm depletion or infertility. Predicting large-scale trends in hatching failure from infertile eggs is tenuous and dependent on several assumptions, each the subject of much independent investigation and thus worth exploring together (Table 3). The first assumption is that age-specific mortality can drive the evolution of life-history strategies (Michod 1979, Reznick et al. 1990) where higher adult survival is coupled with allocation of greater investment to fewer young (Ricklefs 1997, Ghalambor & Martin 2001). Thus, we can assume a latitudinal gradient in adult survival inverse to clutch size trends; note the direction of the adult survival gradient has been debated (Karr et al. 1990, Johnston et al. 1997, Martin et al. 2000). The second assumption is that because extra-pair copulations (EPCs) garner costs to future survival and reproduction (Wink & Dyrcz 1999, © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union 228 C. B. Cooper et al. Westneat & Rambo 2000), then EPCs can be viewed as a form of investment in current reproduction with prevalence inverse to adult survival (Lloyd & Martin 2003). The third assumption is that there is a link between the frequency of EPCs and infertile eggs (Zeh & Zeh 1996, 1997) such that higher hatching success is associated with more EPCs (see Table 3). Females may benefit from engaging in EPCs in order to avoid temporary sperm depletion of males (Sheldon 1994, Birkhead et al. 1995, Gray 1997). The direction of the link between EPCs and infertility has been debated and remains equivocal (Kempenaers et al. 1996, Cordero et al. 1999, Lubjuhn et al. 2000, Whitekiller et al. 2000). Koenig (1982) found hatching failure increased as the complexity of the social structure increased and suggested other relationships between social factors and hatchability, such as mate competition, egg neglect and behavioural synchronization. Rather than explain hatching failure trends, the hatching failure patterns can inform predictions about latitudinal gradients in mating behaviour. For example, given higher adult survival rates at lower latitudes (in correlation with smaller clutches) combined with elevated hatching failure at lower latitudes, we would expect lower frequencies of EPCs at low latitudes if infertility and EPCs are inversely related. Other factors. There are many factors that cause hatching failure but for which we have even less information about latitudinal and seasonal patterns. Microbes can play an important role in hatching failure and may vary with climate variables, such as temperature and humidity, along seasonal and latitudinal gradients (Cook et al. 2003). We expect other causes of hatching failure such as genetic defects and insufficient calcium to vary among populations relative to such factors as previous bottlenecks (Briskie & Mackintosh 2004), inbreeding (Kempenaers et al. 1996), acid rain (Graveland & Drent 1997, Greene 1998) and humidity (Bruce & Drysdale 1994, Baggott & Graeme-Cook 2002). Although these factors exhibit geographical variation, we do not expect them to exhibit a specific latitudinal or seasonal gradient (Table 2). CONCLUSIONS Our results provide support for the hypothesis that high ambient temperatures common at lower latitudes and late in the breeding season reduce egg viability. Because loss of egg viability can account for all patterns except elevated hatching failure among © 2006 The Authors Journal compilation © 2006 British Ornithologists’ Union three-egg clutches, at least two mechanisms are required to explain all observed patterns. Effects of female age/experience/quality are the most likely factors to explain hatching failure among small clutches. Other causes of hatching failure could contribute to observed latitudinal and seasonal gradients in egg failure. Integrating the link between EPCs and infertility into life-history trade-offs suggests patterns consistent with our results and warrants more attention. Because our results are correlational, we cannot address the issue of clutch-size constraints directly. Yet, as suggested by Stoleson and Beissinger (1999), it is plausible that the loss of egg viability due to temperature conditions that predominate in the south and late in the season affects hatching failure and constrains clutch size. Although research has addressed the adaptive significance of nestling mortality on fecundity (Slagsvold et al. 1995, Slagsvold 1986, Moreno 1989, Vi!uela 2000), less is known about hatching failure. Given that trends in hatching failure reinforce trends in clutch size, future large-scale investigations into all the causes of hatching failure are needed. Implication for large-scale research Researchers have traditionally focused on one primary selection pressure (e.g. predation or food supply) as an agent in the life-history trade-offs that produce consistent large-scale patterns in life-history traits, such as small clutches in the tropics (Moreau 1944, Lack 1947, Skutch 1949, Ashmole 1963, Cody 1966, Royama 1969, Ricklefs 1980). Underlying this work is the assumption that a single selection pressure arises from a single ecological phenomenon varying along a large-scale gradient. Alternatively, multiple selection pressures (e.g. predation rates and food supply) may create the same evolutionary response because the adaptive responses are constrained by incompatible physiological states (Ricklefs & Wikelski 2002). Another related and relatively ignored possibility is that several selection pressures (or constraints) could create a geographical gradient in the life-history response if the relative importance of each selection pressure (or constraint) varies systematically across a species’ range (Cooper et al. 2005a). Thus, there are several ways in which large-scale trends in hatching failure may be relevant to our understanding of the evolution of clutch size variation. Here we have demonstrated how the causes of hatching failure may combine to create trends across latitude and season within a single species. 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