Abstract. Source sensitivity and source apportionment are two major indicators representing source–receptor relationships, which serve as essential
information when considering effective strategies to accomplish improved air quality. This study evaluated source sensitivities and apportionments
of ambient ozone and PM2.5 concentrations over Japan with multiple numerical techniques embedded in regional chemical transport models,
including a brute-force method (BFM), a high-order decoupled direct method (HDDM), and an integrated source apportionment method (ISAM), to update
the source–receptor relationships considering stringent emission controls recently implemented in Japan and surrounding countries. We also
attempted to understand the differences among source sensitivities and source apportionments calculated by multiple techniques. While a part of
ozone concentrations was apportioned to domestic sources, their sensitivities were small or even negative; ozone concentrations were exclusively
sensitive to transport from outside Japan. Although the simulated PM2.5 concentrations were significantly lower than those reported by previous
studies, their sensitivity to transport from outside Japan was still relatively large, implying that there has been a reduction in Japanese
emissions, similar to surrounding countries including China, due to implementation of stringent emission controls. HDDM allowed us to understand the
importance of the non-linear responses of PM2.5 concentrations to precursor emissions. Apportionments derived by ISAM were useful in
distinguishing various direct and indirect influences on ozone and PM2.5 concentrations by combining with sensitivities. The results indicate
that ozone transported from outside Japan plays a key role in exerting various indirect influences on the formation of ozone and secondary
PM2.5 components. While the sensitivities come closer to the apportionments when perturbations in emissions are larger in highly non-linear
relationships – including those between NH3 emissions and NH4+ concentrations, NOx emissions and
NO3- concentrations, and NOx emissions and ozone concentrations – the sensitivities did not reach the
apportionments because there were various indirect influences including other sectors, complex photochemical reactions, and gas–aerosol
partitioning. It is essential to consider non-linear influences to derive strategies for effectively suppressing concentrations of secondary
pollutants.