Talk:Hubbert linearization

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This page is preliminary and need a better introduction.(Sfoucher 21:47, 6 March 2007 (UTC))[reply]

The introduction states that the Hubbert curve is the derivative of the Verhulst curve, which in turn (as far as I can tell from trawling the net, though I know of no authoritative reference) is the same as the Logistic curve. This doesn't look right to me, as the Logistic curve shows Q versus time, while Hubbert's curve shows the derivative P against Q rather than time. Hanche (talk) 20:22, 19 January 2008 (UTC)[reply]

The logistic curve (or sigmoid curve) is the solution of the differential equation (1). The Verhulst equation is simply a generalization of the logisitic curve. The Hubbert curve is in fact the first derivative of the logistic curve. Any relations expressing P (i.e. dQ/dt) versus Q is in fact a differential equation. Sfoucher (talk) 01:59, 22 January 2008 (UTC).[reply]

Er, it now seems clear that I had misread the introduction. I had somehow jumped to the conclusion that the straight-line graphs shown further down were the things called the Hubbert curve. I have no idea how that happened. But perhaps it is because my head goes into a spin whenever the words "curve" and "function" are used as synonyms. (Admittedly a much smaller transgression than the one I was suspecting.) Sorry about the noise. Hanche (talk) 00:10, 24 January 2008 (UTC)[reply]