A three-dimensional global climate model [A.A. Fomenko, V.N. Krupchatnikoff, and A.G. Yantzen, Bull. Nov. Comp. Center, Num. Mod. In Atmosph., etc., No. 4, 11-19 (1996)] generalized to include a continuity equation for methane tracer is used to assimilate the available data on CH4 concentration obtained at an extended network of ground-based stations between 1984 and 1987 [T.A. Boden, D.P. Kaiser, R.J. Sepansli, and F.W. Stoss, eds., Trends'93: A Compendium of Data on Global Change (Tennessee, 1994)]. The analysis of this transport model has shown that it reproduces well such observed features as north-south latitudinal gradient of concentration, interannual trend, and seasonal variations. The results of spatial simulation indicate that in midlatitudes of the Northern Hemisphere the model predicts considerable gradients of CH4 in the regions of its continental sources in response to the observed surface distribution of methane.