Conesprings: Cone Spring ecosystem.

In NetIndices: Estimating network indices, including trophic structure of foodwebs in R

Description

Cone spring ecosystem (Tilly, 1968) adapted for input - output analysis by Williams & Crouthamel (1972) in Szyrmer & Ulanowicz (1987, Fig. 1, p. 129) and Ulanowicz & Norden (1990, Fig. 1, p. 435).

This is example 1a from Latham (2006).

The food web comprises 5 functional compartments:

• Plants

• Detritus

• Bacteria

• Detritus feeders

• Carnivores

and two export compartments

• usable export

• dissipation

and one import compartment

• Inflows

Usage

Conesprings

Format

matrix with Tij values, where element (i,j) denotes flow from compartment j to i

rownames and columnames are the components.

Author(s)

Karline Soetaert <[e-mail]>

References

Latham LG. 2006. Network flow analysis algorithms. Ecological Modelling 192: 586-600.

Szyrmer, J., & Ulanowicz, R. E. (1987). Total flows in ecosystems. Ecol. Model. 35, 123..136.

Tilly, L. J. (1968). The structure and dynamics of Cone Spring. Ecol. Monogr. 38, 169..197.

Ulanowicz, R. E., & Norden, J. S. (1990). Symmetrical overhead in flow networks. Int. J. Systems Sci. 21, 429..437.

Williams, M., & Crouthamel, D. (1972). Systems analysis of Cone Spring. Unpublished manuscript. University of Georgia, Athens, Georgia.

Examples

GenInd(Tij = Conesprings, Import = "Inflows",
       Export = c("Export", "Dissipation"))

AscInd(Tij = Conesprings, Import = "Inflows",
       Export = c("Export", "Dissipation"),
       Dissipation = "Dissipation")

UncInd(Tij = Conesprings,Import="Inflows",
       Export = c("Export", "Dissipation"))

EffInd(Tij = Conesprings, Import = "Inflows",
       Export = c("Export", "Dissipation"))

EnvInd(Tij = Conesprings, Import = "Inflows",
       Export = c("Export", "Dissipation"),
       full = TRUE)

Example output

Loading required package: MASS
$N
[1] 5

$T..
[1] 42445

$TST
[1] 30626

$Lint
[1] 8

$Ltot
[1] 18

$LD
[1] 3.6

$C
[1] 0.4

$Tijbar
[1] 2358.056

$TSTbar
[1] 6125.2

$Cbar
[1] 0.3633333

            Ascendency  Overhead  Capacity   ACratio
Total        56725.486 79139.246 135864.73 0.4175144
Internal     29331.979 29832.464  59164.44 0.4957704
Import       19147.847  6221.751  25369.60 0.7547556
Export        8245.659 43085.031  51330.69 0.1606380
Dissipation   7193.894 35274.219  42468.11 0.1693952
$AMI
[1] 1.336447

$HR
[1] 2.195113

$DR
[1] 0.8586661

$RU
[1] 0.6088283

$Hmax
[1] 14.03677

$Hc
[1] 8.159864

$Hsys
[1] 5.876911

$CE
[1] 0.5813204

$CZ
[1] 1.27582

$FZ
[1] 2.627896

$NZ
[1] 2.05977

$RZ
[1] 1.614468

$NAG
[1] 2.591251

$HP
[1] 1.87498

$BC
[1] 3.979433

$ID
[1] 0.9126925

$CVN
[1] 1.085862

$CVG
[1] 2.035971

$U
               Plants   Detritus    Bacteria Det.Feeders  Carnivores
Plants      0.6893902 -0.4016139  0.12788311  0.05720047 -0.01471836
Detritus    0.3911564  0.5057594 -0.16104545 -0.07203357  0.01853509
Bacteria    0.2661538  0.3441329  0.89002791 -0.06148210  0.01454691
Det.Feeders 0.3305133  0.4273487 -0.10885525  0.80444461 -0.11863585
Carnivores  0.1539643  0.1990735 -0.03616717  0.83695705  0.87299832

$N1
                Plants      Detritus      Bacteria  Det.Feeders   Carnivores
Plants      1.00000000 -1.110223e-16 -2.775558e-16 8.326673e-17 1.665335e-16
Detritus    0.95822091  1.206704e+00  3.736137e-01 1.857637e-01 5.446477e-01
Bacteria    0.43434119  5.469735e-01  1.169351e+00 8.420272e-02 2.468772e-01
Det.Feeders 0.19893744  2.505254e-01  9.197564e-02 1.038567e+00 1.130750e-01
Carnivores  0.03087536  3.888188e-02  1.427474e-02 1.611869e-01 1.017549e+00

$G
               Plants  Detritus   Bacteria Det.Feeders Carnivores
Plants      0.0000000 0.0000000 0.00000000  0.00000000  0.0000000
Detritus    0.7940808 0.0000000 0.30739673  0.08389262  0.4513514
Bacteria    0.0000000 0.4532788 0.00000000  0.00000000  0.0000000
Det.Feeders 0.0000000 0.2010799 0.01440922  0.00000000  0.0000000
Carnivores  0.0000000 0.0000000 0.00000000  0.15520134  0.0000000

NetIndices documentation built on July 21, 2019, 3 p.m.