The RPNRs of Pd( ) and (100) catalysed methane oxidations obtained after 6000 reactive path calculations using combined PFP and SC-AFIR methods were further analysed as follows. The kinetically most feasible paths were generated by linking the most populated species from the RCMC at 0 and 3.6  10 -7 s and 3.6  10 k and 3.6  10 k+1 s for k = -7, -6, -5, -4, -3, -2, -1, 0, 1, and 2 through the shortest path determined by the Dijkstra method using the reaction time from the RCMC as the edge cost. This method provided all resting states having a longer life than 3.6  10 -7 s along the extracted path 62 . The RCMC is also available in the GRRM program. As shown in Table , because the complete oxidation state did not have the highest population, the shortest path between the most populated species at 3,600 s and the complete oxidation state was further added to the path extracted by the above algorithm in Fig. . In these paths, the barriers of adsorbate migrations were omitted; the barriers in Fig.