Frequency of nesting passerines within White Stork nests
In 133 White Stork nests (57% of all surveyed), we found at least one of three co-breeding passerine species, i.e., House Sparrows (68% of all nests with co-breeding), Tree Sparrows (65%), and Starlings (30%). Breeding frequency differed significantly between them (χ
2
2 = 15.74, p < 0.001). The proportion of WS nests with House Sparrows was similar to that with Tree Sparrows (χ
2
1 = 0.054, p = 0.82). Starlings nested in WS nests, less frequently than House Sparrows (χ
2
1 = 13.5, p = 0.0002) or Tree Sparrows (χ
2
1 = 11.9, p = 0.0005). We found nesting of more than one species in 51% of the WS nests with co-breeding passerines. Some WS nests were occupied exclusively by only one passerine species (33% of WS nests with Starlings, 32% of nests with House Sparrows, and 49% of nests with Tree Sparrows).
Factors determining presence/absence of avian species breeding within White Storks nests
For all passerine species combined, we found two logistic regression models describing the factors affecting the presence/absence of co-breeding within WS nests (Table 2). In both models, the probability of breeding passerines within WS nests increased with increasing nest thickness, and was significantly higher in nests currently occupied by WS, situated on electricity poles, and characterized by low prevalence of meadows in the vicinity. Additionally, according to the second candidate model [with higher predictive capability (AUC = 0.78) compared to the first one (AUC = 0.71)], presence of co-breeders was more likely in nests situated closer to buildings (Table 2).
Table 2 Rank of the best logistic regression models for factors determining presence/absence of species breeding within White Storks nests in NE Poland based on Akaike’s information criterion corrected for small sample size (AICc)
Then, we performed separate analyses for particular co-breeding species. For the Starling, we found two models describing the factors affecting breeding within WS nests. According to the first model, the probability of presence of Starlings increased with increasing nest thickness. However, its predictive capability was low (AUC = 0.57). The second model includes only an intercept (Table 2).
For the House Sparrow, we found four models describing the factors affecting their breeding within WS nests (Table 2). In the fourth model [with the highest predictive capability (AUC = 0.74)], the probability of presence of House Sparrows was higher in WS nests situated in areas where meadows are not prevalent (92% of nests), closer to buildings, without breeding Tree Sparrows, without Starlings (however, this effect was not significant, p = 0.25), and situated on electricity poles (68% of nests) (Table 2).
For the Tree Sparrow, we found four models describing factors affecting their breeding within WS nests (Table 2). According to the model with highest predictive capability (AUC = 0.55), the probability of presence of Tree Sparrows was higher in WS nests without co-breeding House Sparrows, and situated in areas with high prevalence of meadows, located further from buildings. However, prevalence of meadows and distance from buildings were not significant (p = 0.139, p = 0.288) (Table 3).
Table 3 The best logistic regression models for factors determining presence/absence of species breeding within White Storks nests in NE Poland
Factors affecting numbers of species and pairs breeding within White Stork nests
All OLS regression models investigating factors affecting the number of species breeding within WS nests were characterized by very low determination coefficients (adjusted R
2 < 0.01). According to the best OLS regression model determining factors affecting the total number of co-breeding pairs (adjusted R
2 = 0.11), their number was higher in areas surrounded by arable land, in thicker nests, nests situated closer to buildings, and nests on electricity poles (Table 4).
Table 4 Rank of the best OLS regression models for factors affecting number of species and pairs breeding within White Storks nests in NE Poland based on Akaike’s information criterion corrected for small sample size (AICc)
Then, we performed separate models for particular co-breeding species. For the Starling, we found three models describing the factors affecting the number of pairs breeding within WS nests (Table 4). According to the best model (with the highest determination coefficient, adj. R
2 = 0.11), the number of breeding pairs was higher in thicker WS nests without any co-breeding passerines, situated further from the nearest WS nest, and where meadows are not prevalent. However, distance to nearest WS nest and prevalence of meadows were not insignificant (p > 0.08) (Table 5). When considering the presence/absence of particular co-breeding species, we found two models. In both models, the number of Starling pairs was higher in thicker WS nests (p = 0.02). According to the second model, number of pairs was also higher in nests situated on electricity poles; however, this effect was not significant (p = 0.23) (Table 5). Both models were characterized by low determination coefficients (adj. R
2 < 0.04).
Table 5 The best OLS regression models for factors affecting number of species and pairs breeding within White Storks nests in NE Poland
For the House Sparrow, we found one model describing the factors affecting the number of pairs breeding within WS nests (adj. R
2 = 0.13) (Table 4). The number of breeding pairs was higher in WS nests surrounded mainly by arable land (mean ± SD 2.2 ± 1.2 pairs vs 1.2 ± 1.3 pairs), where meadows are not prevalent (1.4 ± 1.3 pairs vs 0.6 ± 0.8 pairs), in WS nests situated closer to buildings, without co-breeding passerines (1.8 ± 1.1 pairs vs 1.3 ± 1.3 pairs), and situated on electricity poles (1.3 ± 1.3 pairs vs 1.1 ± 1.2 pairs) (Table 5). In the set of models including presence/absence of particular co-breeding species, the best model (adj. R
2 = 0.15) predicts that the probability of breeding House Sparrows is higher in WS nests surrounded mainly by arable land, where pastures are not prevalent, situated closer to buildings, without co-breeding Tree Sparrows, and situated on electricity poles (Table 5).
For the Tree Sparrow, we found two models describing the factors affecting the number of pairs breeding within WS nests (Table 4). In both models, the number of breeding pairs was higher in thicker WS nests, in areas surrounded by arable land (mean ± SD 1.8 ± 1.5 pairs vs 1.0 ± 1.1 pairs in areas surrounded mainly by other habitats) and meadows (1.6 ± 1.3 pairs vs 1.0 ± 1.1 pairs), and without co-breeding passerines (1.5 ± 0.9 pairs vs 1.0 ± 1.2 pairs). According to the first model, the number of pairs was also higher in nests situated on electricity poles (Table 5). However, both models were characterized by very low determination coefficients (adj. R
2 < 0.09). When considering the presence/absence of particular co-breeding species, we found three models. In all models, the number of breeding pairs was higher in thicker WS nests, located in areas surrounded by arable land and meadows. According to the second model, the number of pairs was also higher in nests situated on electricity poles, and according to the third model, in nests without co-breeding House Sparrows (Table 5). However, all models were characterized by negligible determination coefficients (adj. R
2 < 0.08).