Table 3: Final reachability matrix. 
 
C1  C2  C3  C4  C5  C6  C7  C8  C9  C10  C11  C12  C13  C14  C15  C16 
C1  1  1  0  1*  0  1  1  1  1*  1*  1  1  1*  1  1  0 
C2  1*  1  0  1*  0  1*  1  1  1  1  1  1  1  1  1  0 
C3  1*  1*  1  1*  0  1  1  1  1*  1*  1*  1  1  1  1  0 
C4  1*  1*  1  1  0  1  1  1*  1*  1*  1*  1  1*  1*  1  0 
C5  1*  1*  1  1*  1  1*  1*  1*  1*  1  1*  1*  1*  1*  1  0 
C6  1*  0  0  1*  0  1  1*  0  0  1*  0  1  1*  1*  1  0 
C7  1*  0  0  1*  0  1  1  0  0  1*  1*  1*  1*  1*  1  0 
C8  1  1  1*  1  0  1  1  1  1  1  1  1  1  1*  1  0 
C9  1  1  1*  1  0  1  1  1*  1  1  1  1  1  1*  1  0 
C10  1  1*  1*  1  0  1*  1  1*  1*  1  1  1  1*  1*  1  0 
C11  1*  0  0  1*  0  0  1*  0  0  1*  1  1  1*  1*  1  0 
C12  1*  0  0  1*  0  0  1*  0  0  1*  0  1  1  1*  1*  0 
C13  1  1*  1*  1*  0  1*  1  1*  1*  1  1*  1  1  1  1  0 
C14  1*  1*  1*  1  0  1*  1  1*  1*  1*  1*  1*  1  1  1  0 
C15  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0 
C16  1*  1*  1*  1*  0  1  1*  1*  1*  1  1  1  1  1*  1  1 
Table 4: Level partitioning results. 
Causes  Reachability Set  Antecedent Set  Intersection Set  Level 
C1  1, 2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 
14 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 16 
1, 2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14  2 
C2  2, 8, 9  2, 3, 5, 8, 9, 16  2, 8, 9  4 
C3  3  3, 5, 16  3  5 
C4  1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 
13, 14 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 16 
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 
14 
2 
C5  5  5  5  6 
C6  6  2, 3, 5, 6, 8, 9, 16  6  3 
C7  1, 4, 6, 7, 10, 11, 12, 13, 14  1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 16 
1, 4, 6, 7, 10, 11, 12, 13, 14  2 
C8  2, 3, 8, 9  2, 3, 5, 8, 9, 16  2, 3, 8, 9  4 
C9  2, 3, 8, 9  2, 3, 5, 8, 9, 16  2, 3, 8, 9  4 
C10  1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 
13, 14 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 16 
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 
14 
2 
C11  11  2, 3, 5, 8, 9, 11, 16  11  3 
C12  1, 4, 7, 10, 12, 13, 14  1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 16 
1, 4, 7, 10, 12, 13, 14  2 
C13  1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 
13, 14 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 16 
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 
14 
2 
C14  1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 
13, 14 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 16 
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 
14 
2 
C15  15  1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 
13, 14, 15, 16 
15  1 
C16  16  16  16  6 
 
After the FRM, level partitioning was carried out. 
For  each  cause  of  DCP,  the  reachability  set,  the 
antecedent set, and the intersection set were created 
to  measure  each  cause’s  influence  levels.  The 
reachability set of cause “i” comprises all causes that 
are influenced by cause “i" (which are represented by 
“1s” in the row of the FRM corresponding to cause 
“i");  the  antecedent  set  of  cause  “i“  comprises  all 
causes  that  influence  cause  “i"  (which  are 
represented  by  “1s”  in  the  column  of  the  FRM 
corresponding to cause “i”); plus, the intersection set 
contains  the  common  causes  found  in  both  the 
reachability  and  antecedent  sets.  When  the 
intersection  set  is  equal  to the  reachability set  of  a