Canyon conditions impact carbon flows in food webs of three sections of the Nazaré canyon

Table 3. Nomenclature of symbols used in calculation of network indices.

Term	Description
	Number of internal compartments in the network, excluding 0 (zero),  and 
	External source (i.e. detritus input)
	Useable export from the food web (i.e. secondary production)
	Unusable export from the food web (i.e. respiration and DOC efflux)
	Flow from compartment  to  where  represents the columns of the flow matrix and  the rows
	Flow matrix, excluding flows to and from the externals
	Total inflows to compartment 
	Total outflows from compartment 
	Total inflows to compartment , excluding inflow from external sources
	Total outflows from compartment , excluding outflow to external sources
	A negative state derivative, considered as a gain to the system pool of mobile energy
	A positive state derivative, considered as a loss from the system pool of mobile energy
	Flow into compartment  from outside the network
	Flow out of the network for compartment  to compartments and , respectively
	The number of species with which both  and  interact divided by the number of species with which either  or  interact
	Identity matrix

Table 4. Algorithms for the calculation of the network indices; see Table 3 for symbols.

Index name	Code	Formula
Total System Throughput	T..
Total System Throughflow	TST
Total System cycled throughflow		
Finn’s Cycling Index	FCI
Average Mutual Information	AMI

Table 5. Model derived total respiration (mmol C m^-2 d^-1) and the biotic contributions (%) to total respiration in the food webs of the upper, middle and lower sections of the Nazaré canyon. See Table 1 for abbreviations.

Table 6. Comparison of network indices calculated for the different sections of the Nazaré canyon. The numbers indicate the fraction of network values that are higher in one section as compared to another section based on a pair-wise comparison. Significant differences are in italic and highly significant differences are in bold.

Network index	upper > middle	upper > lower	middle > lower
	0.62	1.00	1.00
	1.00	0.03	0.00
	0.43	0.93	0.95