A kinetic model for the anaerobic filter (AF) that takes into account the mass fractions of sulfate-reducing bacteria (SRB) (f(SRB)) and methanogenic bacteria (MB) (f(MB)) and an inhibiting effect of H(2)S on bacterial groups is proposed. When the acetate-fed AFs were maintained at the low organic loading rate of 2.5 kg COD/m(3) d, variations of the influent COD/SO(4)(2-) ratio (0.5-3.0) does not materially affect the acetate removal efficiency (all varying between 98.1% and 99.7%). With an increase in influent COD/SO(4)(2-) ratio, both the biofilm thickness and the specific substrate utilization rate decreased slightly but f(SRB) decreased markedly. The estimated results of f(SRB) and f(MB) showed that SRB out-competed MB for bacterial growth if the influent COD/SO(4)(2-) ratio was maintained at less than 1.3, whereas MB out-competed SRB for bacterial growth if the influent COD/SO(4)(2-) ratio was maintained at greater than 2.0. The specific substrate utilization rate of SRB (0.19-0.24 mg acetate/mg VSS d) was lower than that of MB (0.31-0.59 mg acetate/mg VSS d). The estimated kinetic parameters disclosed that the affinity of acetate to MB was higher and unionized H(2)S imposed a greater inhibiting effect on MB. The model simulation results (acetate and sulfate removal) agreed well with the experimental results. (C) 2008 Elsevier Ltd. All rights reserved.