dH

In the equation dH/dt is the change in the prey population size or density with time.

Predator-prey cycles 2008

The equation for the growth of the prey population under the assumption that it is entirely controlled by predation is — dH/dt = rH – pHP

Predator-prey cycles 2008

Hence, dH/dt is the change in population size of the prey with a change in (or the passing of) time.

Predator-prey cycles 2008

Solving the equation for dH/dt = 0, based on predator population size or density gives:

Predator-prey cycles 2008

Physically one would expect for the curve of the sea level rise rate dH/dt as a function of time to look rather similar, as indeed it does: this justifies the Rahmstorf (2007) approach of regressing the one against the other.

RealClimate Tim Joslin 2010

What seduced me was the simplicity of this, so-called semi-empirical approach: linear regression of sea level rise dH/dt against temperature T, yielding two unknown parameters: a regression coefficient

RealClimate Tim Joslin 2010

Looking more carefully however one sees that the dH/dt curve has slightly more of an S-like shape, turning downward in the middle, before swinging up again at the end.

RealClimate Tim Joslin 2010

What seduced me was the simplicity of this, so-called semi-empirical approach: linear regression of sea level rise dH/dt against temperature T, yielding two unknown parameters: a regression coefficient

RealClimate Tim Joslin 2010

Looking more carefully however one sees that the dH/dt curve has slightly more of an S-like shape, turning downward in the middle, before swinging up again at the end.

RealClimate Tim Joslin 2010

Physically one would expect for the curve of the sea level rise rate dH/dt as a function of time to look rather similar, as indeed it does: this justifies the Rahmstorf (2007) approach of regressing the one against the other.

RealClimate Tim Joslin 2010