Patent ID: 11869124
Assignee: SHANGHAI TYPHOON INSTITUTE OF THE CHINA METEOROLOGICAL ADMINISTRATION
Field: Computer technology (Electrical engineering)
Classification: CPC G  Y | IPC G

Claim 3:
4. The visualization analysis method of tropical cyclone forecast verification index data according to claim 2, characterized in that, the intensity forecast verification indexes include absolute error S, average absolute error MAE, relative error S′, average relative error 1 root mean square error RMSE and trend coincidence rate PCT, which respectively meet the following formulas:, S
   =
   
    
     ❘
     "\[LeftBracketingBar]"
    
    
     
      I
      k
     
     -
     
      I
      fk
     
    
    
     ❘
     "\[RightBracketingBar]"
    
   
  
  ;
 

 
  
   MAE
   =
   
    
     1
     N
    
    ⁢
    
     
      ∑
       
     
     
      k
      =
      1
     
     N
    
    ⁢
    
     
      ❘
      "\[LeftBracketingBar]"
     
     
      
       I
       k
      
      -
      
       I
       fk
      
     
     
      ❘
      "\[RightBracketingBar]"
     
    
   
  
  ;
 

 
  
   
    S
    ′
   
   =
   
    
     I
     fk
    
    -
    
     I
     k
    
   
  
  ;
 

 
  
   MRE
   =
   
    
     1
     N
    
    ⁢
    
     
      ∑
       
     
     
      k
      =
      1
     
     N
    
    ⁢
    
     (
     
      
       I
       fk
      
      -
      
       I
       k
      
     
     )
    
   
  
  ;
 

 
  
   RMSE
   =
   
    
     [
     
      
       1
       N
      
      ⁢
      
       
        ∑
         
       
       
        k
        =
        1
       
       N
      
      ⁢
      
       
        (
        
         
          I
          fk
         
         -
         
          I
          k
         
        
        )
       
       2
      
     
     ]
    
    
     1
     2
    
   
  
  ;
 

 
  
   PCT
   =
   
    
     1
     N
    
    ⁢
    
     
      ∑
       
     
     
      k
      =
      1
     
     N
    
    ⁢
    
     P
     K
    
    ×
    100
    ⁢
    %
   
  
  ;
 

 
  wherein
  ,
  
   
    P
    K
   
   =
   
    {
    
     
      
       
        1
        ,
        
         
          if
          ⁢
             
          
           
            (
            
             
              I
              k
             
             -
             
              I
              
               k
               ⁢
               0
              
             
            
            )
           
           ·
           
            (
            
             
              I
              fk
             
             -
             
              I
              
               fk
               ⁢
               0
              
             
            
            )
           
          
         
         >
         0
        
       
      
     
     
      
       
        1
        ,
        
         
          if
          ⁢
             
          
           (
           
            
             I
             k
            
            -
            
             I
             
              k
              ⁢
              0
             
            
           
           )
          
         
         =
         
          
           0
           ⁢
              
           and
           ⁢
              
           
            (
            
             
              I
              fk
             
             -
             
              I
              
               fk
               ⁢
               0
              
             
            
            )
           
          
          =
          0
         
        
       
      
     
     
      
       
        0
        ,
        others
       
      
     
    
   
  
 

wherein, Ik represents the actual intensity corresponding to the K-th forecast;
indicates the forecasted intensity corresponding to the K-th forecast; The absolute error is the absolute value of the difference between the actual intensity and the forecasted intensity; N represents the total forecast times; The relative error represents the difference between the forecasted intensity and the actual intensity; The trend coincidence rate indicates the same sign rate of the change of the actual intensity and the change of the forecasted intensity, and the intensity change is subject to the initial time; Pk is the same number rate; Ik0 represents the actual intensity at the K-th forecast's initial time; Ifko represents the forecasted intensity at the K-th forecast's initial time.