Taylor's Power Law and Packing Circles

Year 2024, Volume: 12 Issue: 4, 178 - 186, 08.12.2024

Oğuzhan Kaya , Zeki Topçu

https://doi.org/10.36753/mathenot.1448644

Abstract

The famous Taylor Power Law is in general observed in ecology and relates the variance of the population of a certain species in a unit area while Circle Packing is an arrangement of circles in a given area. We show that the circle packing problem in $\mathbb{R}^2$ satisfies the Taylor power law formula for $b = 2$.

Keywords

Density, Distance, Packing circles, Population, Taylor

References

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