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The author has previously proposed an earthquake simulator to aid in understanding the versatility of earthquake phenomena (OTSUKA, 1972). The magnitudefrequency relation is the one among several subjects that have been successfully simulated as is described in the paper. Definite conclusions, however, could not be drawn on this subject because the magnitude range obtained was not wide enough to enable detailed discussion of the problem. A new model with necessary features extracted from the functions of the simulator is proposed for the purpose of discussing this limited subject. Its usefulness is not only effective for the present objective but will also be helpful in understanding the mechanism of earthquake energy release. A basic concept of the simulator and the new model is that earthquake size is defined by the size of the ultimate number of slippages of blocks on the frictional floor that arise from a single slippage initiating at any place in the matrix of blocks. The propagation of the slippage of blocks, which is identified with rupture progression within the material, is controlled by so many complex factors-such as the concentration of stress in the matrix of blocks, hysteresis of the past slippages, degree of inhomogeneity in the spring constants and frictional parameters, etc.-that it is hard to determine its causality until clusters of slippages are actually formed.

A CHAIN-REACTION-TYPE SOURCE MODEL AS A TOOL TO INTERPRET THE MAGNITUDE-FREQUENCY RELATION OF EARTHQUAKES