logistic model

The logistic function has been used to describe the discovery and production of oil and natural gas at the national level. This type of functional representation provides a direct approach for estimating the available supply of the resource and the time at which that supply will be essentially depleted. The mathematical characteristics of the function imply restrictions, which are not necessarily applicable to natural resource-production patterns. We examine these restrictions in the context of crude-oil production at a regional level. We attempt to show that statistical estimates of the functional parameters based on actual crude-oil production could satisfy the mathematical restrictions inherent in the logistic function.

Published in: Energy, Volume 9, Issue 7, July 1984, Pages 565-570
Available from: ScienceDirect

The United States has a vast supply of coal, with almost 30% of world reserves (BP, 2008) and more than 1600 Gt (short) as remaining coal resources (Ruppert et al., 2002). The US is also the world’s second largest coal producer after China and annually produces more than twice as much coal as India, the third largest producer (BP, 2008). The reserves are concentrated in a few states, giving them a major influence on future production. Historically many states have also shown a dramatic reduction in recoverable coal volumes and this has been closely investigated. Current recoverable estimates may also be too high, especially if further restrictions are imposed. The average calorific value of US coals has decreased from 29.2 MJ/kg in 1950 to 23.6 MJ/kg in 2007 as U.S. production moved to subbituminous western coals (Annual Energy Review, 2007). This has also been examined in more detail. This study also uses established analysis methods from oil and gas production forecasting, such as Hubbert linearization and logistic curves, to create some possible future outlooks for U.S. coal production. In one case, the production stabilizes at 1400 Mt annually and remains there until the end of the century, provided that Montana dramatically increases coal output. The second case, which ignores mining restrictions, forecasts a maximum production of 2500 Mt annually by the end of the century.

Published in: International Journal of Coal Geology, Volume 78, Issue 3, May 2009, Pages 201-216
Available from: ScienceDirect
also available from: Global Energy Systems