Method and system for predicting verlassendem a flow rate of the engine soot

A method for predicting a flow rate of a motor (12) verlassendem soot an exhaust treatment system (10), comprising: Receiving (110) a measured level (38, NO Receiving (110) an engine fuel injection timing Receiving (110) an air-fuel ratio (AFR) of the motor (12); Determining (120) an engine timing factor (f (Inj Determining an engine air-fuel ratio factor based on the air-fuel ratio (AFR); Generating (130) a prediction (46) of a flow rate of the motor (12) verlassendem carbon black based on the measured levels (38, NO Applying (140) a power factor (40, a) a product of the measured levels (38, NO and Applying (150) of the engine air-fuel ratio factor to the unscaled prediction of the flow rate of the motor (12) verlassendem carbon black, to generate the prediction (46) of the flow rate of the engine verlassendem (12) carbon black, - wherein the engine air-fuel ratio factor a based on the air-fuel ratio (AFR) is negative exponentially scaled value of the general formula A * e when B is an exponential coefficients and AFR denote the air-fuel ratio, and - wherein the power factor (40, a) is a negative value.