Fig. 1
From: Second-order control of complex systems with correlated synthetic data
Configurations obtained for parameters giving the four emphasized points in Fig. 2, in order from left to right and top to bottom. We recognize polycentric city configurations (2 and 4), diffuse rural settlements (3) and aggregated weak density area (1). See dataset for exhaustive parameter values, indicators and corresponding correlations. For example d is highly correlated with l and s (\(\simeq\) 0.8) in (1) but not for (3) although both correspond to rural environments; in the urban case we observe also a broad variability : \(\rho [d,c]\simeq 0.34\) for (4) but \(\simeq -\,0.41\) for (2), what is explained by a stronger role of gravitation hierarchy in (2) \(\gamma =3.9,k_h=0.7\) (for (4), \(\gamma =1.07,k_h=0.25\)), whereas density parameters are similar