The Kardashev scale is defined by the expression:

$K\left(P\right)=\frac{\mathrm{log}P-6}{10}\phantom{\rule{0ex}{0ex}}$

where *P* is the power generated by the civilization expressed in Watts. For planetary civilizations *P=10 ^{16 }*W,

*K(P)=1*(e.g. Type I). For stellar civilizations

*P=10*W,

^{26}*K(P)=2*(e.g. Type II). For galactic civilizations

*P=10*W,

^{36 }*K(P)=3*(e.g. Type III). Earth is currently at

*K(P)~0.7*, lower than the threshold for Type I.

Another useful scale is the power available to the individual. For example, we can set:

${K}_{I}\left(P\right)=K\left(P\right)-\frac{\mathrm{log}I}{10}$

where *I* is the number of individuals in the civilization. If we assume that a Type I civilization has a population of 10 billion individuals, *K _{I}(P)=0*. In essence, we see that there is a MW of power per individual for a Type I civlization that has approximately Earth’s population.

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