2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98416We present empirical evidence that the range of random time series associated with the tangled nature model of evolution exhibits a devils staircase like behavior characterized by logarithmic trend and the universal multi-affine spectrum of scaling exponents xi_c of q leq q_c moments of q-order height-height correlations, whereas for q > q_c the moments behaves logarithmically.12 pages with 3 figures; Submitted to PREPhysics and Societytext