Fig. 41.

Finite size analysis of the percolation in Earth’s relief network. (a) Log–log plot of the largest gap $g_1$ vs. the network system size $L$ for original real data (red) and shuffled data (blue). (b) Log–log plot of the largest landmass cluster relative size $s_c$ at the percolation threshold vs. $L$ for real data (red) and shuffled data (blue). (c) The average of the largest jump $g_1(H,L)$ as a function of system size $L$; (d) the corresponding percolation threshold $p_c(H,L)$ as a function of $L$ for percolation on 2D fractional Brownian motion surfaces with the Hurst exponent $H=0.66$.

Reprinted figure from Ref. [130].