Hubbert math

The four forms of Hubbert's equation

Over the long haul populations grow and decay. To describe the growth and decay of civilization's dependence on nuclear and fossil fuels, M. King Hubbert chose an equation that describes many natural processes. Introduce bacteria to food and their population will grow exponentially until there no longer is food. As we catch all the fish in the lake our daily catch will be proportional to the number of remaining fish. Hubbert's equation models both exponential growth and decay with a single equation of three parameters to be chosen from the data. He predicted 52 years ago that worldwide oil production would be peaking about now (2008). It is.

Hubbert's math has four different forms which we examine before showing they are mathematically equivalent.

Hubbert math