A method for controlling a direct-injection internal combustion engine includes monitoring internal combustion engine operational parameters, determining a start of injection in response to the engine operational parameters, monitoring an intake air flow comprising a residual gas component, monitoring an exhaust gas flow, monitoring a fuel flow, determining a time constant corresponding to an intake air flow reaction time based upon the intake air flow, the exhaust gas flow, and the fuel flow, modifying the start of injection with the time constant, and operating the engine subject to the modified start of injection.