Previous work has shown that ternary mixed crystals of naphthalene-h, (N-h) and betamethylnaphthalene (BMN) guests in a naphthalene-d, (N-d) host exhibit a critical concentration effect in which the phosphorescence intensity of BMN, which is present in very small concentration, rises sharply as the concentration of N-h traps passes through 13%. In the present investigation, high pressure is applied to test the validity of theoretical models for this critical concentration effect, and it is shown that at 4 kbar, the apparent critical concentration is lowered from 13% to 11%. High pressure also enhances supertrap capture and exciton fusion rates, as determined from phosphorescence decay measurements. It is tentatively concluded that the observed lowering of the critical concentration is consistent with a diffusive, dynamic percolation model, if one allows for reasonable increases in the exchange interaction p and the supertrap capture efficiency with pressure. The applicability of an Anderson-Mott description is not excluded by our results, but is considered unlikely on the basis of probable substantial increases in inhomogeneous broadening under pressure.