http://web.pdx.edu/~rueterj/courses/objects/J-curve.html

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J-Curve for human population growth

The increase in human population or other activity (such as energy use) is often described as a extreme exponential curve. These are described as a "J" or "hockey stick" to emphasize a flat portion followed by a drammatic rise.

It may be that there is a drammatic rise in population that has an impact but that doesn't mean that there was a recent acceleration of the growth rate. The graphical representations exploit the weakness in arithmetic curves to represent a range of values, i.e. they are biased toward the highest value and don't show the changes in the smaller, historical values.

This is more of a cautionary note on using graphics and imagery than any counter argument that we don't have a problem with human impact on the planet.

 

Textbook representations focus on drammatic increase such as this one from Miller. J curve from Miller text
Can show this with an curve of human population over the last 7000 years with a constant growth rate of 0.0022 per year.

 

growth rate 2.20E-03
year population
0 1.00E+04
1000 9.03E+04
2000 8.15E+05
3000 7.35E+06
4000 6.63E+07
5000 5.99E+08
6000 5.40E+09

 

An artithmetic representation of this data shows the "J" feature.

 

J-curve in arithmetic graph

 

But this can be changed to a semi-log scale in Excel which will show that the growth rate was constant over those 6000 years.

 

excel window with log scale button circled

 

Leads to semi-log chart with same data as displayed above in the table and the arithmetic chart. This is log of the population vs. years.

 

J-curve semi log chart

   

John Rueter - October 1, 2017