Schematic view of galaxy migrations across different redshift bins in the M_⋆ − SFR plane. The hexagonal bins represent the galaxy number density at redshift z_i. The arrows represent how galaxies move from a redshift z_p to a redshift z_i. For each redshift z_i, we trace back the progenitors of galaxies to their positions at earlier redshifts z_p, using migration vector (${\overrightarrow{m}}_{\mathrm{\Delta }t}$) that indicates the direction and velocity of galaxy evolution over the time interval elapsed between z_p and z_i. The arrows are color coded by the progenitor population: SB, star forming, GV, and passive. The width of the arrows is modulated by the relative fraction of sources originating from the respective regions. The head of each arrow corresponds to the galaxy positions at z_i, while the tail represents their positions in different regions at z_p. The head’s arrow position in each panel is calculated for stellar mass bins equally spaced over the mass range considered at z_i. The solid black line shows the MS at z_p, with the magenta, blue, and red dashed lines indicating the boundaries for the SB, star-forming, and passive regions, respectively. Each column focuses on galaxies in different populations at z_i (SB, star forming, GV, and passive), while the rows illustrate changes for different redshift pairs (z_i, z_p). The arrows highlight the quantifiable moves in the M_⋆ − SFR.