RELATIONS AMONG ENERGY PROFILE AND FREQUENCY DISTRIBUTION CURVE (FDC)

The proposed model hypothesizes that a hydrographic network's state of "precarious equilibrium" can be identified by its geometric layout, particularly its vertical profile and by spatial relationships with potential energy values of surfacial runoff waters.

These aspects or relationships are represented by two key curves taht are the Potential Energy Profile and the Frequency Distribution Curve (FDC).

The central hypothesis is that the Potential Energy Profile dictates the behavior of the hydrographic network. 

FIG_1 RELATIONS BETWEEN ENERGY PROFILE AND FDC.

In the proposed model we hypothisize that FDC trend to transform its self so to sssume a coassial shape with the energy profile and when it reach this particular organization the drainage network reach its asset/order of equilibrium. 

In this context so the drainage network evolution  is defined and considered as controlled by eneregy profile and it consits in a continuos transformation of its geometry until it reach this particular organization.   

In FIG_1 third order streams FDC it is not properly regular and  it assumes the maximum value (absolute max value) in corrispondency with the maximum value of eneregy profile so the drainage network could be considered almost in equlibrium with the energy profile.

Infact the presence of relative maximum value indicate that the hydrography it is continuosly transforming its self and these processes are probably due to the extreme human activity downhill the slopes of the basin.