Spaxel distribution of W_Hα − β relation across properties of the host galaxies. First and the second row panels correspond to the morphological and bar-type (A: no bar, B: bar, and AB: unsure bar) classifications of the galaxies from Walcher et al. (2014), respectively. Third row panels explore the central stellar mass surface density (Sánchez et al. 2016b,c) within 1 kiloparsec (Σ_1 kpc) of the host galaxies, following Cheung et al. (2012). Fourth row panels relates to the bulge type of the host galaxies, according to the method described in Luo et al. (2020, PB: pseudo bulge, CB: classical bulge, and E: ellipticals). Left column panels explore the statistics of the spaxels for the declining CVCs (β < 0), while the right panels correspond to the rising CVCs (β > 0). The different colours and symbols of the bars in the panels distinguish star-forming (blue with black circle) and quenched (red with no symbol) regions of the galaxies. The dashed horizontal lines at Σ_1kpc = 10¹⁰ M_⊙ kpc⁻² are drawn to guide the eye. See more details in Sect. 3.2.