| Ratings 
 
 
  | Year | Rank | Edo | Dev. | Games |  
  | 1929 | 712 | 2164 | (85) | 9 |  
  | 1930 | 747 | 2162 | (84) | 0 |  
  | 1931 | 815 | 2161 | (82) | 0 |  
  | 1932 | 831 | 2159 | (79) | 0 |  
  | 1933 | 874 | 2158 | (74) | 0 |  
  | 1934 | 888 | 2156 | (66) | 0 |  
  | 1935 | 917 | 2155 | (55) | 16 |  
  | 1936 | 833 | 2166 | (58) | 7 |  
  | 1937 | 799 | 2165 | (66) | 0 |  
  | 1938 | 800 | 2164 | (71) | 0 |  
  | 1939 | 742 | 2163 | (73) | 0 |  
  | 1940 | 689 | 2162 | (73) | 0 |  
  | 1941 | 655 | 2161 | (71) | 9 |  
 
Rating table notes
 | 
| Biographical data |  | 
   | Name: Mellgren, Artur |  
   | Born: 15 Apr. 1907 |  
   | Died: 1985 |  |  |  
   | Notes: |  
   | Gaige has date of death as 'c1985'. |  |  |  |  
   | References |  | 
| Books |  
   | Di Felice, Chess Results, 1931-1935, page 394 |  
   | Di Felice, Chess Results, 1936-1940, page 364 |  
   | Di Felice, Chess Results, 1941-1946, page 18 |  
   | Gaige, Chess Personalia, page 277 |  
   | Skinner and Verhoeven, Alexander Alekhine's Chess Games, page 524 |  |  |