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--- en:manuel_reference:methode_micro:verif_habby [2021/12/01 15:46] – ylecoarer
+++ en:manuel_reference:methode_micro:verif_habby [2021/12/02 10:38] – ylecoarer
@@ Line 11: / Line 11: @@
 For a given variable, and for discrete values of the latter, the biological model provides suitability index SI given values between 0 and 1, qualifying the 'preference' of the fish, the suitability curve is thus constructed.
-Equation (1) allows the calculation of the habitat suitability index $\mathit{HSI_i}$ in a mesh of index i and area Ai of a hydraulic model, from the mean values of the variables (H,V,S) of this mesh noted $\mathit{H_i,V_i,S_i}$.
+Equation (1) is used to calculate the habitat suitability index $\mathit{HSI_i}$ according to the user options, in a mesh of index i and area Ai of a hydraulic model, from the mean values of the variables (H,V,S) of this mesh noted $\mathit{H_i,V_i,S_i}$.
 (1a) \[HSI_i=SI_H(H_i)\times SI_V(V_i)\times SI_S(S_i)\]
 (1b) \[HSI_i=(SI_H(H_i)\times SI_V(V_i)\times SI_S(S_i))^\frac{1}{3}\]
-(1c) \[HSI_i=\frac{SI_H(H_i)\times SI_V(V_i)\times SI_S(S_i)}{3}\]
+(1c) \[HSI_i=\frac{SI_H(H_i)+ SI_V(V_i)+ SI_S(S_i)}{3}\]
-(2) \[WUA=sum_{i=1}^M A_itimes HSI_i\]
-(3) \[OSI=frac{WUA}{sum_{i=1}^M A_i}\]
+In case the user decides to use only two variables for example (H,V), these equations are adapted in HABBY and become :
+(1_a2) \[HSI_i=SI_H(H_i)\times SI_V(V_i)\]
+(1_b2) \[HSI_i=(SI_H(H_i)\times SI_V(V_i))^\frac{1}{2}\]
+(1_c2) \[HSI_i=\frac{SI_H(H_i)+ SI_V(V_i)}{2}\]
+The logics (a) product, (b) geometric mean and (c) mean are respected.
+In the case where the biological model is bivariate (H,V) equation (1) is written :
+(1_biv) \[HSI_i=SI_{H,V}(H_i,V_i)\]
+(2) \[WUA=\sum_{i=1}^M A_i\times HSI_i\]
+(3) \[OSI=\frac{WUA}{\sum_{i=1}^M A_i}\]
 (4) \[{SI_{i,S}(S_{i,1},S_{i,2},..S_{i,K})}=\frac{\sum_{k=1}^K S_{i,k}\times SI_S(S_k)}{100} \]