In order to avoid any confusion in the homogeneity of your equations, it is preferable to use the notation Lb instead of Lb.

Usually, the following parameters, as well as their value, are defined for the watershed:

1. Form factor: Watershed Area/(Watershed length)2 = A/L2, Value < 1

2. Shape factor Bs : (Watershed length)2/Watershed Area = L/A2, Value > 1

3. Elongation ratio: Diameter of the circle of watershed area / Watershed length = 1.128A0.5 /L, Value < or equal to 1. The constant value 1.128 is in fact exactly equal to 2/(Pi0.5) = 1.128379167

4. Circulatory ratio: Watershed area/Area of the circle of watershed area = 12.57A/P2, where P is the watershed perimeter, Value < or equal to 1. The constant 12.57 comes from 4Pi = 12.56637061.

5. Compactness Coefficient: Watershed perimeter/perimeter of the circle of watershed area = 0.2821P/A0.5, Value > or equal to 1.

Regards

Dear Lucas,I read the comment of Bachir (distinguished professor: https://www.scopus.com/authid/detail.uri?authorId=6602770810.

I visited your profile on the Research gate, but also of Bachir.

I am kindly inviting you to, in addition to the comment of Bachir, you visit the following web page: www.geasci.org/IntErO

In the Help/Theoretical background of the subject model (Function key F1 when you enter in the model) you will find also some interesting theoretical details about the parameters: Coefficient of the river basin form, A; Coefficient of the watershed development, m; Average river basin width, B; (A)symmetry of the river basin, a; Density of the river network of the basin, G; Coefficient of the river basin tortuousness,K; Average river basin altitude, Hsr; Average elevation difference of the river basin, D; Average river basin decline, Isr; The height of the local erosion base of the river basin, Hleb; Coefficient of the erosion energy of the river basin’s relief, Er; Coefficient of the region’s permeability, S1; Coefficient of the vegetation cover, S2; Analytical presentation of the water retention in inflow, W; Energetic potential of water flow during torrent rains, 2×gDF^½; Maximal outflow from the river basin, Qmax; Temperature coefficient of the region, T; Coefficient of the river basin erosion, Z; Production of erosion material in the river basin, Wyear; Coefficient of the deposit retention, Ru; Real soil losses, Gsp; Real soil losses per km2. But also: (1) The surface of River basin area, F [km²]; (2) The length of the watershed (perimeter), O [km]; (3) Natural length of the main watercourse, Lv [km]; (4) The shortest distance between the fountainhead and mouth, Lm [km]; (5) The total length of the main watercourse with tributaries of I and II class, ΣL [km]; (6) River basin length measured by a series of parallel lines, Lb [km]; (7) The area of the larger river basin part, Fv [km²]; (8) The area of the smaller river basin part, Fm [km²]; (9) Contour lines length, Liz [km]; (10) The area between the two neighboring contour lines, fiz [km²]; neighbouringfactors related to lithology (rocks permeability by percentage: fp, permeable; fpp, semipermeable; fo, low permeability) and soil type (erodibility coefficient, Y); topographic and relief data (I coefficient), monthly mean and annual precipitation (P coefficient), temperatures annual averages (t coefficient); land cover data (Xa coefficient of the River basin planning): 1. Bare lands; 2. Plough-lands; 3. Meadows; 4. Mountain pastures; 5. Orchards and vineyards; 6. Degraded forests; 7. Well-constituted forests; and finally the state of erosion patterns, and development of the watercourse network (Φ coefficient).