Table 4. Matrices for Indirect Paths of Length 10 in the Figure 1 Model. 

 Upper: Number of Length 10 Paths from Column to Row 

 Compartments. 



Middle: Indirect Influence, as Daily Fractions of Carbon in 

 Column Compartments. Transferred to Row Compartments 

 Over Length 10 Paths. 



Lower: Total Influence, as Summed Daily Carbon Fractions of 

 Column Compartments, Transferred to Row Compartments 

 Over Paths of Lengths 1 Through 10. 



indirect, not direct. The influence over any one path may be small, but the total 

 influence due to so many paths can be great. 



For example, the total effect as fractional daily carbon flow of compartment 4 on 

 itself over the 40,619 length 10 paths is 0.601 (Table 4, middle matrix), or 1.48 x IQ-^ 

 per path, which amounts to 63% of the direct effect of 4 on itself (0.950, Table I , lower 



99 



