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We construct a large number of linear pulsation models spanning the parameter space suggested by various Cepheid evolution tracks. These models give rise to period-luminosity (P-L) relations which vary according to the specifics of the evolutionary track selected. Thus uncertainties in the evolution calculation result in uncertainties in the P-L relation and therefore in the distances inferred to external galaxies. In the present work, we attempt both to estimate these uncertainties and, reversing the question, to ascertain to what extent observed P-L relations can constrain the Cepheid evolution tracks. We shall see that substantial work remains to be done before a clear picture emerges of Population I Cepheid evolution.
