Taylor’s Power Law and Packing Circles
Mathematical Sciences and Applications E-Notes, vol.12, no.4, pp.178-186, 2024 (Scopus, TRDizin)
- 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.