Taylor’s Power Law and Packing Circles

KAYA O., Topçu Z.

Mathematical Sciences and Applications E-Notes, vol.12, no.4, pp.178-186, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.36753/mathenot.1448644
  • Journal Name: Mathematical Sciences and Applications E-Notes
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.178-186
  • Keywords: Density, Distance, Packing circles, Population, Taylor’s Law
  • Galatasaray University Affiliated: Yes

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 R2 satisfies the Taylor power law formula for b = 2.