Little Rock Lake
The is the food web of Little Rock Lake, Wisconsin in the United States of
America. Nodes in this network are autotrophs, herbivores, carnivores and
decomposers; links represent food sources.
Metadata
Statistics
Size  n =  183

Volume  m =  2,494

Loop count  l =  18

Wedge count  s =  101,959

Claw count  z =  1,985,127

Cross count  x =  32,930,228

Triangle count  t =  11,292

Square count  q =  456,289

4Tour count  T_{4} =  4,063,016

Maximum degree  d_{max} =  108

Maximum outdegree  d^{+}_{max} =  63

Maximum indegree  d^{−}_{max} =  102

Average degree  d =  27.256 8

Fill  p =  0.074 472 2

Size of LCC  N =  183

Size of LSCC  N_{s} =  22

Relative size of LSCC  N^{r}_{s} =  0.120 219

Diameter  δ =  4

50Percentile effective diameter  δ_{0.5} =  1.617 02

90Percentile effective diameter  δ_{0.9} =  2.648 70

Median distance  δ_{M} =  2

Mean distance  δ_{m} =  2.127 82

Gini coefficient  G =  0.426 617

Balanced inequality ratio  P =  0.346 030

Outdegree balanced inequality ratio  P_{+} =  0.339 214

Indegree balanced inequality ratio  P_{−} =  0.230 553

Relative edge distribution entropy  H_{er} =  0.941 146

Power law exponent  γ =  1.345 61

Tail power law exponent  γ_{t} =  2.991 00

Tail power law exponent with p  γ_{3} =  2.991 00

pvalue  p =  0.009 000 00

Outdegree tail power law exponent with p  γ_{3,o} =  7.541 00

Outdegree pvalue  p_{o} =  0.000 00

Indegree tail power law exponent with p  γ_{3,i} =  3.241 00

Indegree pvalue  p_{i} =  0.045 000 0

Degree assortativity  ρ =  −0.266 385

Degree assortativity pvalue  p_{ρ} =  7.214 16 × 10^{−80}

In/outdegree correlation  ρ^{±} =  +0.042 949 4

Clustering coefficient  c =  0.332 251

Directed clustering coefficient  c^{±} =  0.472 259

Spectral norm  α =  43.386 8

Operator 2norm  ν =  31.170 6

Cyclic eigenvalue  π =  7.000 00

Algebraic connectivity  a =  0.979 703

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.523 55

Reciprocity  y =  0.040 898 2

Nonbipartivity  b_{A} =  0.435 995

Normalized nonbipartivity  b_{N} =  0.184 147

Algebraic nonbipartivity  χ =  0.974 193

Spectral bipartite frustration  b_{K} =  0.009 088 36

Controllability  C =  99

Relative controllability  C_{r} =  0.540 984

Plots
Matrix decompositions plots
Downloads
References
[1]

Jérôme Kunegis.
KONECT – The Koblenz Network Collection.
In Proc. Int. Conf. on World Wide Web Companion, pages
1343–1350, 2013.
[ http ]

[2]

Neo D. Martinez, John J. Magnuson, Timothy. Kratz, and M. Sierszen.
Artifacts or attributes? effects of resolution on the Little Rock
Lake food web.
Ecol. Monographs, 61:367–392, 1991.
