Betweenness values for the 32 sites in the Gulf of Lion using 20 different connectivity matrices obtained with Lagrangian simulations by [21].

<p>a) Results obtained by using <i>a</i>_<i>ij</i> as edge weight; b) results obtained by using <i>d</i>_<i>ij</i>. Note the change in the colorbars’ ranges.</p

Paths and respective probabilities and weights for the networks in Fig 2.

<p>Paths and respective probabilities and weights for the networks in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0189021#pone.0189021.g002" target="_blank">Fig 2</a>.</p

Example of graph in which the 10^<i>th</i> algorithm in [19] would fail to identify the shortest path between A and B (ADEB) when using <i>a</i>_<i>ij</i> as metric.

<p>Example of graph in which the 10^<i>th</i> algorithm in [<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0189021#pone.0189021.ref019" target="_blank">19</a>] would fail to identify the shortest path between A and B (ADEB) when using <i>a</i>_<i>ij</i> as metric.</p

Representation of matrix #7 from [21], the right side colorbars indicate the metric values.

<p>a) Results obtained by using <i>a</i>_<i>ij</i> as edge weight, b) results obtained by using <i>d</i>_<i>ij</i> as edge weight. In a) the lowest 5% of edges weights are represented. In b) the lowest 5% of edges weights are represented. Note the change in the colorbars’ ranges.</p

Paths and respective probabilities, weights and hop count for the graph in Fig 1.

<p>Paths and respective probabilities, weights and hop count for the graph in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0189021#pone.0189021.g001" target="_blank">Fig 1</a>.</p

Boxplot representing the ENA indices.

<p>The Total System Throughput (TST), the Average path Length (APL), the relative Ascendency (A/DC), the Average Mutual Information (AMI), the internal relative Ascendency (A_i/C_i) ,the Finn Cycling Index (FCI). These indices were calculated with the 500 000 solutions of the MCMC- LIM implementation. Red crosses correspond to outliers. Medians of all these indices were significantly different for the two seasons (Wilcoxon test, H₀ was rejected, p-value < 0.01).</p

Compartment activities in mgC.m^-2.LT^-1 for the two seasons.

<p>The error bars represent the standard deviation on the 500,000 simulations. See <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0076739#pone-0076739-t001" target="_blank">Table 1</a> for compartment abbreviations.</p

Herbivory and bacterivory in the summer and winter food webs.

<p>The herbivory and bacterivory correspond to the mean value of herbivory and bacterivory estimated for the 500,000 solutions proposed by the MCMC-LIM method. The error bars represent the standard deviation of values.</p

Lindeman Spine for the two seasons.

<p>The correspond to the exchanges between trophic levels, the show the export of carbon and symbolize the loss of carbon by respiration. Numbers in red are the transfer efficiencies between each level. Imports to macrofauna were assimilated to imports to the non-living compartment.</p