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The temporal aspect of a model of pupal dehydration is improved upon. Theobserved dependence of pupal transpiration on time is attributed to analternation between two, essential modes, for which the deposition of a thin,pupal skin inside the puparium and its subsequent demise are thought to beresponsible. For each mode of transpiration, the results of the Bursell (1958)investigation into pupal dehydration are used as a rudimentary data set. Thesedata are generalised to all temperatures and humidities by invoking theproperty of multiplicative separability. The problem, then, is that as thetemperature varies with time, so does the metabolism and the developmentalstages to which the model data pertain, must necessarily warp. Thepuparial-duration formula of Phelps and Burrows (1969) and Hargrove (2004) isexploited to facilitate a mapping between the constant-temperature time domainof the data and that of some, more general case at hand. The resulting,Glossina morsitans model is extrapolated to other species using their relativesurface areas, their relative protected and unprotected transpiration rates andtheir different fourth instar excretions (drawing, to a lesser extent, from thedata of Buxton and Lewis, 1934). In this way the problem of pupal dehydrationis formulated as a series of integrals and the consequent survival can bepredicted. The discovery of a distinct definition for hygrophilic species,within the formulation, prompts the investigation of the hypothetical effect ofa two-day heat wave on pupae. This leads to the conclusion that theclassification of species as hygrophilic, mesophilic and xerophilic is largelytrue only in so much as their third and fourth instars are and, possibly, thehours shortly before eclosion.

An Improved Temporal Formulation of Pupal Transpiration in Glossina