Table 3.

Direct utility sign matrix (Sign D)/integral utility sign matrix (SignU) of LCMN in BDA^a.

	Int	Eng	Con	IBS	Wst	Ext
Int	0/+	+/−	0/+	−/−	0/−	0/+
Eng	−/−	0/+	0/−	−/−	0/+	+/+
Con	0/+	0/−	0/+	+/+	−/−	+/+
IBS	+/+	+/+	−/−	0/+	0/+	0/−
Wst	0/+	0/+	+/+	0/+	0/+	−/+
Ext	−/+	−/−	−/−	0/−	+/+	0/+

^aDue to the value of total supplied carbon from Grn is zero, as the carbon sink, we can consider that the mutual relationships between other compartments and Grn are exploit-exploited (including Int, Eng, Con, IBS, and Ext) or neutrality (including Wst). In this sense, we did not take into consideration Grn calculation and comparison in Table 3. In addition, the signs of direct and integral utility matrixes for each pair of compartments are separated by “/”, for example, “+/−” and “−/−” between Eng and Int show that the direct mutual relationship between them is (+, −), while the integral interaction is (−, −).