Posterior distributions of the spherical power-law density model parameters under ATE evolution. The blue contours indicate the posterior distribution adopting the triangular prior of β (see Sect. 4.3.1). The yellow and red dashed contours represent the posterior distribution derived from Gaussian priors on β following Guerrini & Mörtsell (2024) and Bolton et al. (2006), respectively. The dashed black line corresponds to the case of the singular isothermal sphere.