Anomalous scaling in an age-dependent branching model

article Anomalous scaling in an age-dependent branching model published yes Stephanie Keller-Schmidt author Murat Tugrul author 37C323C6-F248-11E8-B48F-1D18A9856A870000-0002-8523-0758 Víctor Eguíluz author Emilio Hernandez Garcia author Konstantin Klemm author NiBa department We introduce a one-parametric family of tree growth models, in which branching probabilities decrease with branch age τ as τ-α. Depending on the exponent α, the scaling of tree depth with tree size n displays a transition between the logarithmic scaling of random trees and an algebraic growth. At the transition (α=1) tree depth grows as (logn)2. This anomalous scaling is in good agreement with the trend observed in evolution of biological species, thus providing a theoretical support for age-dependent speciation and associating it to the occurrence of a critical point. American Physical Society2015 eng Physical Review E 1012.3298 00034986090000610.1103/PhysRevE.91.022803 912 S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, K. Klemm, Physical Review E 91 (2015). Keller-Schmidt, Stephanie, et al. “Anomalous Scaling in an Age-Dependent Branching Model.” Physical Review E, vol. 91, no. 2, 022803, American Physical Society, 2015, doi:<a href="https://doi.org/10.1103/PhysRevE.91.022803">10.1103/PhysRevE.91.022803</a>. Keller-Schmidt, S., Tugrul, M., Eguíluz, V., Hernandez Garcia, E., & Klemm, K. (2015). Anomalous scaling in an age-dependent branching model. Physical Review E. American Physical Society. <a href="https://doi.org/10.1103/PhysRevE.91.022803">https://doi.org/10.1103/PhysRevE.91.022803</a> Keller-Schmidt, Stephanie, Murat Tugrul, Víctor Eguíluz, Emilio Hernandez Garcia, and Konstantin Klemm. “Anomalous Scaling in an Age-Dependent Branching Model.” Physical Review E. American Physical Society, 2015. <a href="https://doi.org/10.1103/PhysRevE.91.022803">https://doi.org/10.1103/PhysRevE.91.022803</a>. Keller-Schmidt S, Tugrul M, Eguíluz V, Hernandez Garcia E, Klemm K. 2015. Anomalous scaling in an age-dependent branching model. Physical Review E. 91(2), 022803. S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, and K. Klemm, “Anomalous scaling in an age-dependent branching model,” Physical Review E, vol. 91, no. 2. American Physical Society, 2015. Keller-Schmidt S, Tugrul M, Eguíluz V, Hernandez Garcia E, Klemm K. Anomalous scaling in an age-dependent branching model. Physical Review E. 2015;91(2). doi:<a href="https://doi.org/10.1103/PhysRevE.91.022803">10.1103/PhysRevE.91.022803</a> 18832018-12-11T11:54:31Z2026-08-12T14:26:46Z