The study says Bitcoin’s long-term valuation pattern can be derived from network adoption dynamics and generalized Metcalfe scaling, with the authors arguing the framework explains most long-run price variation over 15 years.
A peer-reviewed study in Elsevier’s Nonlinear Science argues Bitcoin’s long-term price growth follows a power law rooted in network adoption dynamics and generalized Metcalfe scaling, giving academic backing to a valuation model that has circulated for years in crypto markets. The paper, titled "A Mechanistic Derivation of the Bitcoin Price Power Law: Network Adoption Dynamics and Generalised Metcalfe Scaling," was written by Giovanni Santostasi and Stephen Perrenod. Santostasi first outlined the idea in a 2014 Reddit post and later expanded it in a 2024 Medium essay, while critics had long dismissed the framework as curve fitting. The study analyzed 5,696 daily Bitcoin prices from July 2010 through February 2026 and says a single power-law curve explains about 96% of Bitcoin’s long-run price variation, with the model’s predicted growth rate landing within 1.6% of the measured figure. The authors say speculative booms and busts move around the trend rather than define it, and report no structural breaks between 2011 and 2026, though they also outline conditions that could invalidate the model. The paper stops short of giving price targets, and its dataset ends before Bitcoin’s latest decline, leaving the current bear market as the model’s first live test in published academic form.