https://www.selleckchem.com/products/gsk2126458.html 548 and R 2 = 0.391, respectively, for measuring cat counts per km, p less then 0.001; and R 2 = 0.5 and R 2 = 0.74, respectively, for measuring neutering percentage, p less then 0.001). This scheme was constructively validated by measurements of municipal data on the number of neutered cats and demonstrated high correlation (R 2 = 0.59, p less then 0.001). Conducting cat observations using friendly calling and feeding resulted in an increased number of FRC observed per km walk (by 79% and 22%-30%, respectively). However, these manipulations did not alter the recorded percentage of neutered cats. The proposed scheme provides spatio-temporal data that can contribute to the management programs of such cat metapopulations in an urban environment. © 2020 The Authors. Ecology and Evolution published by John Wiley & Sons Ltd.We analyzed a model to determine the factors that facilitate or limit rapid polygenic adaptation. This model includes population genetic terms of mutation and both directional and stabilizing selection on a highly polygenic trait in a diploid population of finite size. First, we derived the equilibrium distribution of the allele frequencies of the multilocus model by diffusion approximation. This formula describing the equilibrium allele frequencies as a mutation-selection-drift balance was examined by computer simulation using parameter values inferred for human height, a well-studied polygenic trait. Second, assuming that a sudden environmental shift of the fitness optimum occurs while the population is in equilibrium, we analyzed the adaptation of the trait to the new optimum. The speed at which the trait mean approaches the new optimum increases with the equilibrium genetic variance. Thus, large population size and/or large mutation rate may facilitate rapid adaptation. Third, the contribution of an individual locus i to polygenic adaptation depends on the compound parameter γ i p i 0 q i 0 , wh