## Additional file 2.
d ~ Athe local exponent at bin ^{η }i is calculated as η= Δ_{i }ln _{i }d/Δln _{i }A, where Δindicates the difference between two consecutive bins, for instance Δ_{i }ln _{i }d = ln d(i + 1) ln d(i). Empty diamonds: For the log scaling d ~ (ln A)the local exponent at bin ^{β }i is calculated as β= Δ_{i }ln _{i }d/Δln ln _{i }A. Constant values of the local exponents, or values approaching a given value as sizes
increase, indicate appropriateness of the corresponding scaling laws to describe the
data. For the power-law scaling, the exponent is around η ≃ 0.5 and slightly decays for larger trees. For the logarithmic scaling, the exponent
approaches 2 as larger trees are considered, indicating d ~ (ln A)^{2}. The results indicate comparable quality of fit for both laws at the reliable range.
Note that the simpler logarithmic law, β = 1, is not supported by the available data.
Format: PDF Size: 81KB Download file This file can be viewed with: Adobe Acrobat Reader Herrada |