Ibis (2010), 152, 643–650

An empirical demonstration of the ideal free distribution: Little Grebes Tachybaptus ruficollis breeding in intensive agricultural landscapes ´ L A. SEMPERE 1 & ESTHER SEBASTIA´ N-GONZA´ LEZ, 1,2 * FRANCISCO BOTELLA, 1 RAU 1 ´ A. SA ´ NCHEZ-ZAPATA JOSE 1

Ecology Area, Department of Applied Biology, Miguel Herna´ndez University, Ctra. Beniel, Km. 3, 2, E-03312 Orihuela, Alicante, Spain 2 Don˜ana Biological Station-CSIC, Ame´rico Vespucio s ⁄ n, E-41092 Sevilla, Spain

The ideal free distribution (IFD) model predicts that a density-dependent mechanism operates to regulate habitat selection and reproductive performance. We studied a Little Grebe Tachybaptus ruficollis population, which breeds on irrigation ponds in the Vega Baja Valley (southeastern Spain) to test the premises of the IFD model. These ponds are highly dynamic because they are managed according to agricultural requirements, and are subject to different levels of disturbance, which can change the quality of individual ponds across the landscape. Surveys were carried out during the breeding season from 2002 to 2006, with reproduction performance estimated during two consecutive breeding seasons, 2003 and 2004. Occupation frequency differed from random, indicating preference for some ponds over others. Habitat features such as pond construction and design, the presence of submerged vegetation, vegetation along the shore and reed beds, and pond area correlated with occupation frequency and might be considered to be indicators of pond quality. Ponds were occupied sequentially from best to worst. Thus, when the population size increased, the number of low-quality ponds occupied also increased. High-quality ponds held more breeding pairs than low-quality ones, resulting in the mean reproductive success per breeding pair being independent of pond quality. Little Grebes therefore occupy ponds in a manner consistent with the expectations of the IFD model. Keywords: density-dependence, habitat quality, landscape ecology, occupancy, Spain, wetland.

For species living in patchy habitats, heterogeneity in site quality determines their population dynamics through density-dependent regulation; the basic premise is that when the local population increases, some individuals have to use lower quality patches, resulting in the per-capita population growth being reduced (Rodenhouse et al. 1997). Ecologists have traditionally studied differences in patch quality and their repercussions on population dynamics using two theoretical models: the ideal free distribution (IFD) and the ideal despotic distribution (IDD; Fretwell & Lucas 1970, Sutherland 1996, Newton 1998). The IFD model assumes that competition increases as more individuals settle in *Corresponding author. Email: [email protected]

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a given patch. Consequently, some of these individuals move to less profitable habitats or patches where lower levels of competition would compensate for the lower site quality. The process of density dependence thereby results in equal fitness of individuals across all patches. In the IDD model, the equilibrium density among high-and low-quality habitats depends on the competitive abilities of individuals. Strong competitors displace less competitive individuals to lower quality habitats, resulting in breeding success differing between patches. With independence of the mechanisms of population regulation operating, the natural variability in food abundance, presence of competitors, incidence of disturbance, etc., can make a highquality patch become low-quality or vice versa. The characteristics and therefore the quality of a

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patch can vary not only spatially (Chalfoun & Martin 2007) but also temporally (Lõhmus 2003, Carrete et al. 2008). Low predictability of patch quality as a consequence of a high frequency of disturbance could affect patch selection processes and hence population dynamics. Considerable research effort has focused on developing theory around the process of density dependence (reviewed in Johnson 2007), but there are few empirical studies focusing on IFD and ⁄ or IDD (e.g. Morris 2006). In this study we analysed the distribution of Little Grebe Tachypabtus ruficollis individuals in an artificial wetland network by monitoring a breeding population over a 5-year period. The irrigation ponds collectively comprise a patchy system where wetlands are immersed in an agricultural matrix and hence available habitat for Grebes is clearly identifiable. These ponds vary in terms of their waterbird, amphibian and invertebrate communities, both in the wintering and in the breeding seasons (Sánchez-Zapata et al. 2005, Abellán et al. 2006, Sebastián-González et al. 2010). In addition, this wetland system is highly dynamic because agricultural utilization and water use by surrounding landowners affect the quality of the ponds in an essentially random temporal pattern, thereby lowering the predictability of pond quality. Two types of irrigation pools with different habitat characteristics, and therefore different habitat quality, exist within the study area. Some are lined with bare plastic, whereas others have a gravel lining resembling a more natural wetland (SánchezZapata et al. 2005, Abellán et al. 2006, SebastiánGonzález et al. 2010). Both types of pond are used as breeding habitat by Little Grebes. Thus, to extend classification of pond quality beyond the two divisions above, we first looked for a gradient of suitability using occupation frequency (Sergio & Newton 2003, Johnson 2007) and assessed pond features in relation to quality. We also explored the pond occupation pattern in relation to the two different pond types. The hypotheses we tested under the IFD model were that: (1) occupation frequency by Little Grebes is not random, suggesting differences in pond (= patch) quality; (2) habitat quality at the level of a pond can be established by correlating habitat characteristics and occupation frequency; (3) higher quality ponds are occupied first, suggesting habitat preference by individuals; (4) when the local population size increases, the number of

ª 2010 The Authors Journal compilation ª 2010 British Ornithologists’ Union

low-quality ponds occupied also increases; (5) high-quality ponds hold more breeding pairs than low-quality ones; and (6) mean reproductive success of Little Grebes is the same across all individuals independent of the quality of the pond they occupy due to the interplay between pond quality and competition for resources. METHODS Study area and species This study was carried out in the Vega Baja Valley (centred on 38°04¢N, 0°51¢W) in southeast Spain where over 2600 ponds have been built since the 1980s to store water for agricultural purposes (Sánchez-Zapata et al. 2005). These irrigation ponds are distributed over an area of 95 840 ha. The climate is of a semi-arid Mediterranean type with low mean annual rainfall (300 mm) and a warm mean annual temperature (18 °C). The Little Grebe is a small, socially monogamous diving bird whose pair-bond is maintained for the whole breeding cycle and beyond, and which displays territorial behaviour in the breeding season (Cramp 1998). Its nest is a floating platform anchored to substrate that normally consists of submerged vegetation. This species therefore offers several possibilities for studying reproductive biology in relation to habitat quality. Little Grebe pairs stay on the same pond throughout the breeding period and do not abandon it (R. Sempere unpubl. data). Consequently, a close relationship between patch quality and reproductive performance might exist. Furthermore, these wetlands are relatively simple to census owing to their reduced emergent vegetation and their small size (Gutiérrez & Figuerola 1997). This also facilitates the discovery of nests and the subsequent monitoring of chick growth. Field procedures Censuses were carried out between 2002 and 2006 in May and June. In total, 156 irrigation ponds were monitored during the 5-year study period. The ponds were randomly selected from those available and a census of each pond was conducted annually. The number of Little Grebes was determined visually using binoculars and telescopes (Koskimies & Väisänen 1991). The reproductive performance and occupation date of ponds by Little Grebes was analysed in a

Ideal free distribution of Little Grebes

subset of the sampled ponds over two consecutive breeding seasons. In 2003, a subset of 32 occupied ponds was selected. In 2004, the number decreased to 28 (all included in the 32 ponds surveyed in 2003) because some of the ponds disappeared (from increasing urbanization) or were no longer occupied by Little Grebes. Ponds were first visited in April to coincide with the start of the Little Grebe’s breeding season. The study was completed by September, when chicks gained independence. Chicks, adults and nests were surveyed once every 2 weeks at all ponds. If nests or chicks were present in the pond, the survey was performed every week. In ponds with two or more pairs, chick identity was carefully logged in the field with respect to nest location and breeding pairs in attendance in order to assign chicks to pairs and nests. Occupation date and reproductive performance In 2004 the pond occupation date was also noted. Little Grebes used the ponds all year, but move between the ponds during the non-breeding season while they search for an appropriate pond for reproduction. On the first day of the study period some of the ponds were already occupied (12 of the 29 ponds), probably because these ponds had not been abandoned by pairs since the previous breeding season. In analyses we treated all such ponds as if occupied on this day (hereafter referred to as ‘day number one’). The occupation day of the remaining ponds was determined by the number of days since ‘day number one’. This categorization leads to an over-representation of ‘day one ponds’ in our dataset, but as these ponds nearly always correspond to an occupation frequency of 100% by Little Grebes, we deem this to be an accurate reflection of these ponds due to having been colonized first, or from having maintained a consistent population of Little Grebes due to their high quality. Reproductive performance was investigated by examining several variables: nest failure, the proportion of pairs with at least one chick hatched, brood size (assessed as the number of chicks hatched per successful pair), productivity (calculated as the number of independent chicks per pair) and mortality (estimated as the number of hatched chicks minus the number of chicks at age of independence). Age of independence was defined as 30 days (Cramp 1998).

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Pond characteristics Each pond was characterized to study the habitat features preferred by Little Grebes (Table 1). We defined the vegetation in the pond as present (1) or absent (0), and estimated four variables: extent of vegetation on the shore, submerged vegetation, unicellular algae and reeds. We described two types of pond most simply according to their construction design: low-density polyethylene (LDP) ponds were lined by a layer of gravel to protect the plastic from solar radiation - this type of lining also led to the pond having a more natural appearance; highdensity polyethylene (HDP) ponds did not have any gravel. In general, LDP ponds had more gradual slopes, were larger and were more vegetated than HDP ponds (Sánchez-Zapata et al. 2005). We used digitized aerial photographs (Vuelo Oleícola 1998, available at www.mapya.es) and a geographical information system (GRASS 5.0) to estimate the size of each pond. The risk of predation could be a factor influencing pond selection by Little Grebes. However, the ponds are fenced and therefore predation by mammals can be considered low. In addition, Grebes have never been found in dietary studies of their possible predators within our study area (raptors and foxes; J.A. Sánchez-Zapata). We thus do not include any measure of predation risk in our analyses. Statistical analyses To assess whether territories were occupied at random and independent of previous history Table 1. Averaged characteristics of irrigation ponds in southeast Spain censused from 2002 to 2006 inclusive (n = 57) for Little Grebes, as well as the characteristics of a subset of these ponds used to estimate reproductive performance and sequential settlement (n = 36).

Characteristic

5-year census

% LDP ponds Area (ha) Algae Submerged vegetation Shoreline vegetation Reeds

43 0.65 0.86 ± 0.19 ± 0.20 ± 0.13 ±

0.03 0.03 0.03 0.03

Reproduction and settlement 64 0.63 0.46 ± 0.71 ± 0.43 ± 0.20 ±

0.06 0.05 0.06 0.05

The mean ± 1 sd is shown for each variable. The presence of algae, submerged vegetation, vegetation along the shore, and reeds were measured as binomial variables: 1 = presence; 0 = absence. LDP ponds, ponds constructed with low-density polyethylene.

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(hypothesis 1), we compared the observed occupation frequency to a Poisson distribution (Newton & Marquiss 1976, Krebs 1989, Newton 1991). We used two measures of pond quality to test hypotheses 2–5. We used the number of years a pond was occupied in the study period (Sergio & Newton 2003) and the pond construction design. The latter was selected because previous studies showed that LDP ponds have a more natural appearance and more resources than HDP ponds (Sánchez-Zapata et al. 2005, Abellán et al. 2006). Non-parametric tests were used to analyse the differences between pond types (LDP vs. HDP ponds) over the 5-year study period (hypotheses 2–5). The analyses were undertaken in SPSS 15.0 (SPSS Inc. 2006). Generalized linear models (GLM; McCullagh & Nelder 1989) and generalized linear mixed models (GLMMs; McCullagh & Searle 2000) implemented in R 2.1.1 (R Development Core Team 2005) were used to relate occupation frequency to environmental variables, occupation date, population abundance and breeding performance (hypotheses 2, 3, 5 and 6). The glmmML function for GLMMs was used for breeding performance when the values varied between the two census years (see Table 2) because this function avoids the problem of temporal pseudoreplication. Therefore, the random variable was the census year. The variables chosen were those that had previously been thought likely to affect waterbirds in irrigation ponds, as well as categorizing the ponds according to their degree of naturalization. Large LDP ponds, close to wetlands Table 2. Variables describing the reproductive performance of Little Grebes in irrigation ponds in southeast Spain during the breeding seasons in 2003 and 2004.

Nest failure (%) % successful pairs Brood size1 Productivity2 Chick mortality (%)3

2003

2004

P

82 (104) 25 (75) 3.31 (23) 0.71 (75) 26 (23)

77 (114) 57 (50) 3.01 (33) 1.45 (50) 28 (33)

0.625 0.008 0.620 0.011 0.584

Sample sizes are shown in parentheses and P-values from Mann–Whitney U-tests compare survey data between years. 1 Brood size was assessed as the number of chicks hatched per pair. 2 Productivity was defined as the number of independent chicks per pair. 3 Mortality was estimated as the number of hatched chicks minus the number of chicks at the age of independence (which was set at 30 days).

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with algae, emergent and submerged vegetation, had the highest waterbird abundances (SánchezZapata et al. 2005). Therefore, the model considered both structural (pond size and type) and resource (presence of submerged vegetation, vegetation along the shore, reeds and algae) variables. GLMs and GLMMs permit the use of suitable error distributions and some of the limitations of conventional regression models were avoided by using the Poisson distribution as an error function. We performed both univariate (i.e. one predictor variable) and multivariate (i.e. several predictor variables) models. In the multivariate models we also included two-way interactions to account for correlations between variables. We used a backward removal procedure to obtain a final model containing only significant factors and those nonsignificant factors included in two-way interactions that significantly improved the fit of the model by more than 1% of the explained deviance (Santoul et al. 2004). The statistical significance was set at a = 0.05 for all analyses. RESULTS Differences in pond quality During the 5-year study period, 55.7% of the irrigation ponds were never occupied by Little Grebes, whereas a few ponds were occupied in all years (5.1%). The observed occupation frequency differed from that expected under a model of random occupation derived from a Poisson distribution (in all cases v2 = 792.8, df = 5, P < 0.01, Fig. 1). This indicates non-random use of ponds by

Figure 1. Observed (filled columns) and expected (open columns) occupation frequency of irrigation ponds by Little Grebes in southeast Spain over a 5-year period from 2002 to 2006. The observed occupation frequency differed from the expected model of random occupation under a Poisson distribution (in all cases v2 = 792.8, df = 5, P < 0.01).

Ideal free distribution of Little Grebes

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Little Grebes and suggests that this species perceives differences in the quality of the ponds and adjusts its settling behaviour accordingly. Pond quality We used univariate GLMs to reveal the characteristics of ponds favoured by Little Grebes by relating the pond attributes to occupation frequency (Table 3). Five of the six variables were statistically significant, but only two had major explanatory power. Pond construction design was the most important habitat feature, and presence of submerged vegetation was also significant (SánchezZapata et al. 2005, Sebastián-González et al. 2010). Presence of vegetation along the shore of the pond, presence of reeds, and pond size were also related to the perceived quality of the pond. A multivariate model identified gradients in pond quality and assessed the interaction between variables. The final multivariate model for occupation frequency (explained deviance = 38.08%) included: construction design (LDP ponds), presence of submerged vegetation and the interaction between these two variables, all with a positive sign (all P-values < 0.001). None of the remaining interactions (pond type with area, presence of vegetation along the shore, presence of reeds or algae, and the four vegetation variables with area) was significant. Moreover, occupation frequency was higher in LDP ponds than in HDP ponds (Mann– Whitney U-test, U = 1.305, P < 0.001, Fig. 2) and the percentage of unoccupied ponds during the five census years when separated by pond type was 78% for HDP ponds and 27% for LDP ponds. Sequential settlement The occupation date of a pond by Little Grebes was related to the occupation frequency, which Table 3. Generalized linear models (GLMs) relating occupation frequency by Little Grebes during 2002–2006 in southeast Spain to pond characteristics.

Figure 2. Comparison between the occupation frequency (number of years a pond was occupied) by Little Grebes of LDP and HDP ponds (Mann–Whitney U-test, U = 1.305, P < 0.001).

demonstrated a preference for the high-quality ponds (GLM, P < 0.001, explained deviance = 27.8%). Moreover, LDP ponds were occupied before HDP ponds (Mann–Whitney U-test, U = 56.00, P = 0.03). In general, high-quality ponds were occupied earlier in the season and were then preferred to other ponds. Relationship between occupation and abundance The relationship between abundance and the number of occupied ponds for high-quality and lowquality ponds was examined (Fig. 3). When using pond type as the quality measure, there was a positive correlation between abundance and occupation for HDP ponds (low-quality patch, Pearson’s correlation test r = 0.90, P = 0.04), whereas this correlation was not significant for LDP ponds (high-quality habitats, r = )0.36, P = 0.55). Nevertheless, this relationship was not significant when using the occupation frequency as a measure of pond quality (Pearson’s correlation test, both r < 0.46, both P > 0.2). We considered high-quality ponds to be those occupied for at least 3 years (although similar results were obtained when setting our selection criteria to 2 or 4 years). Habitat quality and population density

Pond characteristic Pond type (LDP) Submerged vegetation Shoreline vegetation Reeds Area

Model coefficient

% Explained deviance

1.515 1.257 0.7932 0.7242 0.3244

25 18 6 4 4

P < < < < <

0.001 0.001 0.001 0.001 0.001

The average number of Little Grebe pairs per pond was related to the occupation frequency, suggesting that ponds of higher quality held more pairs than ponds of lower quality (GLM, P < 0.001, explained deviance = 17.78%). The average number of Grebes per pond was also higher in LDP (3.11) than in HDP ponds (1.95) (Mann–Whitney U-test,

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(a)

(b)

Figure 3. Relationship between Little Grebe abundance and the number of occupied ponds in relation to: (a) construction design (HDP – squares; LDP – circles), and (b) occupation frequency (low < 3 years – squares; high ‡ 3 years – circles). Each point represents one census year in both figures.

U = 13.00, P < 0.001). Using both measures, the results suggested that ponds of higher quality held more Little Grebes. Reproductive performance Five variables (nest failure, nest success rate, average brood size, productivity and chick mortality) were used to measure the reproductive performance of Little Grebes in 2003 and 2004 (Table 2) in a subset of occupied ponds. There were differences between 2003 and 2004 in the percentage of successful pairs and productivity whereas the rest of the variables did not change significantly between years. Therefore, we used GLMMs for these two variables and GLMs for the variables that did not differ among census years. As a measure of reproductive performance, none of the variables was related to the pond type or to the pond occupation frequency using GLMs and GLMMs (all P-values > 0.1). DISCUSSION One of the main problems in assessing how species are distributed in patchy habitats lies in describing

ª 2010 The Authors Journal compilation ª 2010 British Ornithologists’ Union

the underlying differences in patch quality (Johnson 2007). In this study we used different measurements of habitat quality, including habitat attributes (structural characteristics of ponds and the presence of different vegetation substrates), occupancy (patterns of occupancy and date of arrival) and demographic measures (abundance and reproduction). Our results indicated that in the Little Grebe, patterns of distribution among irrigation ponds in southeastern Spain conform to the IFD model. The best patches were occupied first and became overcrowded when the Grebe population increased, whereas productivity remained equal among ponds of different quality. Thus, Grebes detected variation in the quality of the habitat provided by irrigation ponds and, to maximize reproductive output, the population altered its distribution accordingly. Ponds were occupied in successive years in a non-random manner, with some ponds (i.e. patches) preferred and others avoided, as predicted by hypothesis 1. This confirmed the existence of differences in pond quality (Rodenhouse et al. 1997, Sergio & Newton 2003). Occupation frequency, as a measure of habitat quality, was related to some environmental and structural variables of the surveyed ponds (hypothesis 2). When we examined the association between occupation frequency and pond characteristics, our results agreed with the results of previous studies that for waterbirds, macroinvertebrates and vegetation diversity, richness and abundance were higher in LDP than in HDP ponds (SánchezZapata et al. 2005, Abellán et al. 2006, SebastiánGonzález et al. 2010). The presence of submerged vegetation was linked to LDP ponds (positive and significant interaction in the multivariate model) and seems to be the key feature that provides food and nesting material for Little Grebes (Cramp 1998). Moreover, submerged vegetation was present in a high percentage of ponds favoured for breeding (see differences in submerged vegetation among the ponds as a whole, and the group of ponds selected for reproduction; Table 1). Sequential settlement has been widely used to establish patch quality for migrant birds (Sergio & Newton 2003, Sergio et al. 2007, Zaja˛c et al. 2008). This approach can also be applied to resident birds in highly dynamic systems where patch quality may change owing to environmental perturbations. As a consequence of these environmental changes, there is a need to consider patch

Ideal free distribution of Little Grebes

occupancy changes by birds that have to seek the best patches before breeding can start. As in previous studies (see above) and as predicted, the patterns in sequential settlement illustrate individual patch preference. In our study, Grebes preferred high-quality ponds as predicted by the IFD. Therefore, this individual-based measure of patch quality can be used when long-term occupancy data are not available, and use of this measure thus potentially simplifies the collection of field data in habitat quality studies (Zaja˛c et al. 2008). The IFD also predicts that when the population size increases, the number of low-quality patches occupied should also increase (Fretwell & Lucas 1970). We found differences in the number of individuals per pond between high-quality and low-quality ponds, probably as a consequence of density-dependent regulation mechanisms (Newton 1998). Although we found a strong relationship between population size and the number of low-quality ponds used by the Grebes when we used pond type as the measure of pond quality, consistent with the buffer effect (Brown 1969, Newton 1998), this relationship was not significant when we used other pond quality measures (e.g. occupation frequency) and thus hypothesis 4 was only partially supported. This emphasizes the importance of using different indicators of habitat quality to add to our knowledge of the subtleties of the patch selection process and the underlying variability. None of the measures of breeding performance was explained by pond quality with any degree of confidence. Nest failure, as well as pair success, brood size, productivity and chick mortality were similar for all the ponds studied, and hence we found support for hypothesis 6. This might indicate that the quality of the selected ponds was homogenized by the differences in the density of Little Grebes as predicted by the IFD model (Fretwell & Lucas 1970). High-quality ponds were selected until a population density threshold was reached, above which productivity would decline to that of lower-quality ponds. When birds shift from saturated high-quality ponds to ponds of lower quality, lower resource availability is thought to be compensated for by reduced competition for what resources are available. We were able to validate the usefulness of occupation frequency as a measure of patch quality (reviewed in Sergio & Newton 2003) and to detect, at a broad scale, high-quality and low-quality

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patches using only one variable which was easy to identify: pond construction design. Nevertheless, some of the LDP ponds were not perceived as good habitat by Little Grebes and were never occupied. Moreover, the same ponds were not occupied across all years; some ponds were always colonized by Grebes, whereas others were always avoided. This may be caused by other factors that affect the patch selection process such as conspecific and ⁄ or heterospecific attraction, where birds may use the presence of conspecifics or heterospecifics as indicators of habitat quality (Ahlering & Faaborg 2006). In addition, productivity varied significantly between the two study years. Patch quality can also vary as a result of stochastic processes and ⁄ or pond management. For example, the application of water treatment methods to control for aquatic plant growth (e.g. high algae abundance can block irrigation tubes) can reduce the amount of submerged vegetation and, therefore, perceived pond quality by Little Grebes. Furthermore, some fish species, such as the European Carp Cyprinus carpio, are direct competitors with the Little Grebe (Santoul & Matrorillo 2003). They forage on the same invertebrates and they increase water turbidity, thereby reducing visibility in the water column. Therefore, the introduction of this fish species transforms ponds to low-quality in terms of Little Grebes, where reduced visibility impairs their ability to detect prey. Other impacts on pond quality include: (1) oscillations in pond water level that might be caused by the arrival of water from inter-basin water transfers, (2) long periods without water supply, which may occur during the summer as a consequence of the ponds’ location in a semi-arid environment, and (3) the use of water for crop irrigation. As a result, pond water levels change with time (ponds can even dry out completely) and this variation may be an important measure for a species with minimal and maximal water-depth requirements (Cramp 1998). These stochastic causes of variability in quality were not included in our analyses. Irrigation ponds are a clear example of how patch quality can undergo dramatic changes over short periods of time. Most studies of patch quality have neglected the potential for a patch quality to be transient in nature and instead consider patch quality to be a stable trait (Johnson 2007, Carrete et al. 2008). If the quality of a patch changes and such variation is not accounted for, the conclusions derived from these studies might be incorrect.

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This study was funded by the Generalitat Valenciana through the I + D project CTIDIB ⁄ 2002 ⁄ 142 and by the Conselleria de Territori i Habitatge. J. D. Anadón, M. Carrete, C. Villacorta, C. Diaz, J. Navarro, M. A. Richarte, M. Blázquez, M. D. Antón, I. González, J. Aliaga, R. Ballestar and S. Bordonado helped with the fieldwork. We are indebted to F. Hiraldo for his help and advice. K. Alexander helped improve the English text. We thank M. M. Delgado, J. Reynolds, R. Bowie and another anonymous reviewer for their insightful comments, which considerably improved this manuscript. E.S.-G. Benefited from an FPU grant from the Ministry of Education, Spain. All work carried out for this study complies with the current laws of Spain. This paper is dedicated to Miguel Blázquez, a partner and a friend.

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McCullagh, P. & Nelder, J.A. 1989. Generalised Linear Modelling. London: Chapman & Hall. McCullagh, P. & Searle, S.R. 2000. Generalized Linear and Mixed Models. New York: Wiley-Interscience. Morris, D.W. 2006. Moving to the ideal free home. Nature 443: 645–646. Newton, I. 1991. Habitat variation and population regulation in Sparrowhawks. Ibis 133: 76–88. Newton, I. 1998. Population Limitation in Birds. London: Academic Press. Newton, I. & Marquiss, M. 1976. Occupancy and success of nesting territories in the European Sparrowhawk. J. Raptor Res. 10: 65–71. R Development Core Team. 2005. R: A Language and Environment for Statistical Computing. Vienna: R Foundation for Statistical Computing. Rodenhouse, N.L., Sherry, T.W. & Holmes, R.T. 1997. Sitedependent regulation of population size: a new synthesis. Ecology 78: 2025–2042. Sa´nchez-Zapata, J.A., Anado´n, J.D., Carrete, M., Gime´nez, A., Navarro, J., Villacorta, C. & Botella, F. 2005. Breeding waterbirds in relation to artificial pond attributes: implications for the design of irrigation facilities. Biodivers. Conserv. 14: 1627–1639. Santoul, F. & Matrorillo, S. 2003. Interaction between fish and waterbird communities: a case study of two gravel pits in south-west France. Vie Milieu 53: 131–134. Santoul, F., Figuerola, J. & Green, A.J. 2004. Importance of gravel pits for the conservation of waterbirds in the Garonne river floodplain (southwest France). Biodivers. Conserv. 13: 1231–1243. Sebastia´n-Gonza´lez, E., Sa´nchez-Zapata, J.A. & Botella, F. 2010. Agricultural ponds as alternative habitat for waterbirds: spatial and temporal patterns of abundance and management strategies. Eur. J. Wildl. Res. 56: 11–20. Sergio, F. & Newton, I. 2003. Occupancy as a measure of territory quality. J. Anim. Ecol. 72: 857–865. Sergio, F., Blas, J., Forero, M.G., Dona´zar, J.A. & Hiraldo, F. 2007. Sequential settlement and site dependence in a migratory raptor. Behav. Ecol. 18: 811–821. SPSS. 2006. SPSS Advanced Statistics 14.0. Chicago: SPSS. Sutherland, W.J. 1996. From Individual Behaviour to Population Ecology. Oxford series in ecology and evolution. Oxford: Oxford University Press. Zaja˛c, T., Solarz, W. & Bielan´ski, W. 2008. Site-dependent population dynamics: the influence of spatial habitat heterogeneity on individual fitness in the Sedge Warbler Acrocephalus schoenobaenus. J. Avian Biol. 39: 206–214. Received 2 July 2009; revision accepted 2 April 2010.

An empirical demonstration of the ideal free ... - Wiley Online Library

Alicante, Spain. 2Don˜ana Biological Station-CSIC, Ame´rico Vespucio s⁄n, E-41092 Sevilla, Spain. The ideal free distribution (IFD) model predicts that a density-dependent mechanism .... In total, 156 irrigation ponds were monitored during the 5-year study period. The ponds were randomly selected from those available ...

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