We study the gas inflow rate ( \zeta _ { inflow } ) and outflow rate ( \zeta _ { outflow } ) evolution of local Milky Way-mass star-forming galaxies ( SFGs ) since z = 1.3 .
The stellar mass growth history of Milky Way-mass progenitor SFGs is inferred from the evolution of the star formation rate ( SFR ) - stellar mass ( M _ { \ast } ) relation , and the gas mass ( M _ { gas } ) is derived using the recently established gas scaling relations .
With the M _ { \ast } + M _ { gas } growth curve , the net inflow rate \kappa is quantified at each cosmic epoch .
At z \sim 1.3 , \kappa is comparable with the SFR , whereas it rapidly decreases to \sim 0.15 \times SFR at z = 0 .
We then constrain the average outflow rate \zeta _ { outflow } of progenitor galaxies by modeling the evolution of their gas-phase metallicity .
The best-fit \zeta _ { outflow } is found to be ( 0.5 - 0.8 ) \times SFR .
Combining \kappa and \zeta _ { outflow } , we finally investigate the evolution of \zeta _ { inflow } since z = 1.3 .
We find that \zeta _ { inflow } rapidly decreases by \sim 80 % from z = 1.3 to z = 0.5 .
At z < 0.5 , \zeta _ { inflow } continuously decreases but with a much lower decreasing rate .
Implications of these findings on galaxy evolution are discussed .