“…The 1D clustering behavior has been identified in many scientific fields (see reviews in [7,[15][16][17]). The 2D spatial clustering behavior has also been explored in many fields such as hydrology (e.g., [18][19][20], and references therein), biology and ecosystems (e.g., [21,22]), life sciences (e.g., [23][24][25][26]), networks (e.g., [27][28][29]), urban structures (e.g., [30,31]), rock formation (e.g., [32]), turbulence (e.g., [7,33]), art (e.g., [34][35][36]), landscape analysis (e.g., [37,38]), simulated evolution of the universe [39] and many others (e.g., [40]). A unified approach for the quantification of the 2D spatio-temporal clustering in terms of variability in the scale domain (instead of in the common lag and frequency domains) can be found in the applications of the current entry, where a stochastic methodology is presented that quantifies clustering in 2D spatial fields by analyzing the spatial structures over time, and by exploring how the HK dynamics highly increase the induced uncertainty in terms of spatio-temporal variability in the scale domain.…”