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Gompertz Substitution Forecasting×Fisher-Pry Substitution Model×
FieldFutures Foresight StudiesFutures Foresight Studies
FamilyProcess / pipelineProcess / pipeline
Year of origin19711971
OriginatorBenjamin Gompertz (curve); growth-curve technology forecasters (Lenz, Martino) and the Fisher-Pry traditionJohn C. Fisher & Robert H. Pry (General Electric)
TypeGrowth-curve diffusion pipeline for technology adoption and substitutionLogistic-growth forecasting pipeline for technological substitution
Seminal sourceFisher, J. C., & Pry, R. H. (1971). A simple substitution model of technological change. Technological Forecasting and Social Change, 3, 75-88. DOI ↗Fisher, J. C., & Pry, R. H. (1971). A simple substitution model of technological change. Technological Forecasting and Social Change, 3, 75-88. DOI ↗
AliasesGompertz Diffusion Forecasting, Gompertz Growth-Curve Forecasting, Asymmetric S-Curve Technology Forecasting, Gompertz Adoption ModelFisher-Pry Model, Technological Substitution Model, Logistic Substitution Forecasting, Fisher-Pry Curve
Related32
SummaryGompertz substitution forecasting projects the adoption, diffusion, or substitution of a technology by fitting the asymmetric Gompertz growth curve to historical data and extrapolating it toward a saturation ceiling. Like the symmetric logistic used in the Fisher-Pry substitution model, the Gompertz curve captures the characteristic S-shape of technological change — slow initial uptake, rapid mid-life growth, and tapering as the market saturates — but unlike the logistic it is asymmetric, reaching its fastest growth early, at roughly 37 percent of the ceiling rather than at the midpoint. This makes it a natural choice when a new technology accelerates quickly and then approaches its limit gradually. Within the futures and foresight toolkit catalogued by Glenn and Gordon, growth-curve forecasting of this kind is a core quantitative method for anticipating when a technology will mature and when a successor is likely to displace it.The Fisher-Pry Substitution Model, introduced by John Fisher and Robert Pry of General Electric in 1971, is a foundational technique for forecasting technological substitution — the process by which a new technology displaces an older one. Its empirical premise, supported by dozens of historical cases from synthetic to natural materials and from one manufacturing process to another, is that the fractional market share captured by the new technology follows a logistic (S-shaped) growth curve. The model's elegance lies in a transformation: when the takeover ratio f/(1-f), the ratio of the new technology's share to the old's, is plotted on a logarithmic scale against time, the substitution traces a straight line. This linearization makes it easy to fit, interpret, and extrapolate substitutions from sparse early data, which is why the Fisher-Pry curve remains a workhorse of technological forecasting.
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ScholarGateCompare methods: Gompertz Substitution Forecasting · Fisher-Pry Substitution Model. Retrieved 2026-06-24 from https://scholargate.app/en/compare