Abstract: Grain is a special product related to the national economy and the people’s livelihood, the guarantee of long term stable development of the national economy, and the social and political stability; while farmland is the basic condition and material carrier of grain production, the development of grain production is closely related to farmland. Based on the grain yield calculation model, this paper studies the impact of the utility of cultivated land utilization on the spatial and temporal variation of grain production from the two dimensions of time and space. Taking Jiangxi Province as a case, from the time dimension, this study finds that the total grain output of Jiangxi province from 1992 to 2011 has undergone a change of first rising, then dropping, then continuously rising. Among the arable land utilization factors of grain production, the strength effect plays a strongest role in promoting grain production, followed by the scale effect and structure effect; the scope effect can inhibit grain production.

Key words: utility of farmland utilization; grain production; temporal and spatial variation; factor analysis