Morphometric Parameters

Formula/Definition

References

I

Basic Parameters

1

Basin Area (A) (Km²)

GIS Software Analysis

Schumm (1956)

2

Basin Perimeter (P) (Km)

GIS Software Analysis

Schumm (1956)

3

Basin Length (L_b)

GIS Software Analysis

Schumm (1956)

4

No. of streams (N_u)

Hierarchical Rank

Strahler (1952)

5

Stream Length (L_u) (Km)

$L_u=L_1+L_2+\cdots +L_n$

Strahler (1964)

6

Mean Stream Length (L_sm) (Km)

$L_{sm}=L_u/N_u$ (km)

Horton (1945)

II

Derived Parameters

7

Bifurcation ratio (R_b)

$R_b=N_u/N_{u+1}$

Strahler (1964)

8

Weighted mean bifurcation ratio (WMR_b)

$WM{R}_b={{\displaystyle \sum }}^{\text{}}\{\left(R_{b}u/u+1\right)\times \left(N_u+N_u+1\right)\}/{{\displaystyle \sum }}^{\text{}}N$

Strahler (1953)

9

Stream Length ratio (R_L)

R_L = L_u/L_u-1.

Strahler (1964)

10

Sinuosity (S_I)

S_I = L_m/L_b

Gregory and Walling (1973) [69]

11

Basin shape index (I_sh%)

$I_{sh}\%=1.27\ast A/L_b^2$

Haggett (1965) [70]

12

Length of overland flow (L_o)

L_o = 1/2D_d

Horton (1945)

13

RHO coefficient (ρ)

ρ = R_L/R_b

Horton (1945)

14

Stream frequency (F_s)

F_s = N_u/A

Horton (1932)

15

Drainage density (D_d) Km/Km²

D_d = L_u/A

Horton (1932)

16

Drainage texture (D_t)

D_t = N_u/P

Horton (1945)

17

Basin relief (B_h) m

B_h = H − h

Strahler (1952)

18

Slope index (S_In%)

S_In% = (E/0.75L_m) × 100

(E = E85 − E10), E85 and E10 are the elevation of points at 85% and 10% of the main channel from its mouth). (L_m = The length of main channel from its mouth to water divide).

Majure and Soenksen (1991) [71]

19

Relief ratio (R_r)

R_r = H/L_b

Schumm (1956)

20

Ruggedness number (R_n)

R_n = D × (B_h/1000)

Melton (1957)

III

Shape Parameters

21

Elongation ratio (R_e)

$R_e=1.128\sqrt{A/L_b}$

Schumm (1956)

22

Circularity ratio (R_c)

R_c = 4πA/P²

Miller (1953)

23

Form factor ratio (R_f)

$R_f=A/L_b^2$

Horton (1932)