Taylor’s Power Law and Packing Circles

KAYA O., Topçu Z.

Mathematical Sciences and Applications E-Notes, cilt.12, sa.4, ss.178-186, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.36753/mathenot.1448644
  • Dergi Adı: Mathematical Sciences and Applications E-Notes
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.178-186
  • Anahtar Kelimeler: Density, Distance, Packing circles, Population, Taylor’s Law
  • Galatasaray Üniversitesi Adresli: Evet

Özet

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.