JOURNAL OF REGIONAL SCIENCE, VOL 13, NO 2, 1973 930-1940 GHETTO PASTURE GRAZING TUBERCULO CONTROL EXPANSION SUBSIDY FIGURE 5: Number of Acceptances for Three Phenomena by Distance for Various Time Periods adopters may be more enthusiastic tellers about an innovation than later ones; in other words, that over time the diffusion wave loses energy through friction and its amplitude therefore decreases. The relationship between energy and ampli tude is defined in the equation representing the total energy of a particle execut- ing harmonic motion E=kaz where a the amplitude and k a constant(Resnick and Halliday [3, p. 354]) Clearly, we can solve for a and then substitute energy into the wave equation. It becomes possible thereby to interchange the concepts of energy with the number of adopters. The implication for diffusion theory is that the total energy of innovation waves can in this manner then be plotted against time or distance. By introducing the concept of energy into the study of spatial diffusion, greater omprehensiveness can be gained for explaining the diverse topics investigated by regional scientists