Apparatus, methods, and computer program products are disclosed that access a first coefficient vector that represents a first temporal profile and a second coefficient vector that represents a second temporal profile. The first and second temporal profiles represent presence histories of a first entity and a second entity within a persistent virtual environment. Once the coefficient vectors are accessed, the technology generates a predictive function responsive to the coefficient vectors. The predictive function provides a likelihood with respect to a future time that the first entity and the second entity will be temporally compatible. The technology then presents a representation of said predictive function or information derived from said predictive function.