pathways: enumerate all food chains that are linked to a given...

In loop: loop decomposition of weighted directed graphs for life cycle analysis, providing flexbile network plotting methods, and analyzing food chain properties in ecology

Description

the food chains can allow circles/loop. This function will return all possible food chains, and some duplicated chains are generated as well. If you want to get unique food chains, try the function 'uniquepaths'

Usage

pathways(gemat, bsp)

Arguments

gemat	standard square graph matrix
bsp	the species/node you want to search. If input is a vector, then the function will return the food chains for each element species in the vector. Please note that all pathways/chains are started with the focused vertext/node/species, ended by a circle/loop; or upto the top of the network without a circle/loop.

Value

return a list showing all food chains by presenting each node in that chain. Also, the weights for each link will be returned as well.

Author(s)

Youhua Chen <[e-mail]>

References

Chen Y (2012) loop: an R package for performing decomposition of weighted directed graphs, food web analysis and flexible network plotting. Submitted.

See Also

uniquepaths, loop.forward, loop.random

Examples

mat=matrix(c(0,5,3,7,0,5,0,8,0,4,3,8,0,1,6,7,0,1,0,2,0,4,6,2,0),5,5)
pathways(mat,bsp=2)
#a vector of species
pathways(mat,bsp=c(1,3,5))

Example output

Loading required package: grid
Loading required package: MASS
$pathways
$pathways[[1]]
[1] 2 1 2

$pathways[[2]]
[1] 2 1 3 1

$pathways[[3]]
[1] 2 1 3 2

$pathways[[4]]
[1] 2 1 3 4 1

$pathways[[5]]
[1] 2 1 3 4 3

$pathways[[6]]
[1] 2 1 3 4 5 2

$pathways[[7]]
[1] 2 1 3 4 5 3

$pathways[[8]]
[1] 2 1 3 4 5 4

$pathways[[9]]
[1]  2  1  3  4  5 NA

$pathways[[10]]
[1] 2 1 3 5 2

$pathways[[11]]
[1] 2 1 3 5 3

$pathways[[12]]
[1] 2 1 3 5 4 1

$pathways[[13]]
[1] 2 1 3 5 4 3

$pathways[[14]]
[1] 2 1 3 5 4 5

$pathways[[15]]
[1]  2  1  3  5  4 NA

$pathways[[16]]
[1] 2 1 4 1

$pathways[[17]]
[1] 2 1 4 3 1

$pathways[[18]]
[1] 2 1 4 3 2

$pathways[[19]]
[1] 2 1 4 3 4

$pathways[[20]]
[1] 2 1 4 3 5 2

$pathways[[21]]
[1] 2 1 4 3 5 3

$pathways[[22]]
[1] 2 1 4 3 5 4

$pathways[[23]]
[1]  2  1  4  3  5 NA

$pathways[[24]]
[1] 2 1 4 5 2

$pathways[[25]]
[1] 2 1 4 5 3 1

$pathways[[26]]
[1] 2 1 4 5 3 2

$pathways[[27]]
[1] 2 1 4 5 3 4

$pathways[[28]]
[1] 2 1 4 5 3 5

$pathways[[29]]
[1]  2  1  4  5  3 NA

$pathways[[30]]
[1] 2 1 4 5 4

$pathways[[31]]
[1]  2  1  4  5 NA

$pathways[[32]]
[1] 2 3 1 2

$pathways[[33]]
[1] 2 3 1 3

$pathways[[34]]
[1] 2 3 1 4 1

$pathways[[35]]
[1] 2 3 1 4 3

$pathways[[36]]
[1] 2 3 1 4 5 2

$pathways[[37]]
[1] 2 3 1 4 5 3

$pathways[[38]]
[1] 2 3 1 4 5 4

$pathways[[39]]
[1]  2  3  1  4  5 NA

$pathways[[40]]
[1] 2 3 2

$pathways[[41]]
[1] 2 3 4 1 2

$pathways[[42]]
[1] 2 3 4 1 3

$pathways[[43]]
[1] 2 3 4 1 4

$pathways[[44]]
[1]  2  3  4  1 NA

$pathways[[45]]
[1] 2 3 4 3

$pathways[[46]]
[1] 2 3 4 5 2

$pathways[[47]]
[1] 2 3 4 5 3

$pathways[[48]]
[1] 2 3 4 5 4

$pathways[[49]]
[1]  2  3  4  5 NA

$pathways[[50]]
[1] 2 3 5 2

$pathways[[51]]
[1] 2 3 5 3

$pathways[[52]]
[1] 2 3 5 4 1 2

$pathways[[53]]
[1] 2 3 5 4 1 3

$pathways[[54]]
[1] 2 3 5 4 1 4

$pathways[[55]]
[1]  2  3  5  4  1 NA

$pathways[[56]]
[1] 2 3 5 4 3

$pathways[[57]]
[1] 2 3 5 4 5

$pathways[[58]]
[1]  2  3  5  4 NA

$pathways[[59]]
[1] 2 5 2

$pathways[[60]]
[1] 2 5 3 1 2

$pathways[[61]]
[1] 2 5 3 1 3

$pathways[[62]]
[1] 2 5 3 1 4 1

$pathways[[63]]
[1] 2 5 3 1 4 3

$pathways[[64]]
[1] 2 5 3 1 4 5

$pathways[[65]]
[1]  2  5  3  1  4 NA

$pathways[[66]]
[1] 2 5 3 2

$pathways[[67]]
[1] 2 5 3 4 1 2

$pathways[[68]]
[1] 2 5 3 4 1 3

$pathways[[69]]
[1] 2 5 3 4 1 4

$pathways[[70]]
[1]  2  5  3  4  1 NA

$pathways[[71]]
[1] 2 5 3 4 3

$pathways[[72]]
[1] 2 5 3 4 5

$pathways[[73]]
[1]  2  5  3  4 NA

$pathways[[74]]
[1] 2 5 3 5

$pathways[[75]]
[1]  2  5  3 NA

$pathways[[76]]
[1] 2 5 4 1 2

$pathways[[77]]
[1] 2 5 4 1 3 1

$pathways[[78]]
[1] 2 5 4 1 3 2

$pathways[[79]]
[1] 2 5 4 1 3 4

$pathways[[80]]
[1] 2 5 4 1 3 5

$pathways[[81]]
[1]  2  5  4  1  3 NA

$pathways[[82]]
[1] 2 5 4 1 4

$pathways[[83]]
[1]  2  5  4  1 NA

$pathways[[84]]
[1] 2 5 4 3 1 2

$pathways[[85]]
[1] 2 5 4 3 1 3

$pathways[[86]]
[1] 2 5 4 3 1 4

$pathways[[87]]
[1]  2  5  4  3  1 NA

$pathways[[88]]
[1] 2 5 4 3 2

$pathways[[89]]
[1] 2 5 4 3 4

$pathways[[90]]
[1] 2 5 4 3 5

$pathways[[91]]
[1]  2  5  4  3 NA

$pathways[[92]]
[1] 2 5 4 5

$pathways[[93]]
[1]  2  5  4 NA


$pathwayweights
$pathwayweights[[1]]
[1] 5 5

$pathwayweights[[2]]
[1] 5 3 3

$pathwayweights[[3]]
[1] 5 3 8

$pathwayweights[[4]]
[1] 5 3 1 7

$pathwayweights[[5]]
[1] 5 3 1 1

$pathwayweights[[6]]
[1] 5 3 1 2 4

$pathwayweights[[7]]
[1] 5 3 1 2 6

$pathwayweights[[8]]
[1] 5 3 1 2 2

$pathwayweights[[9]]
[1]  5  3  1  2 NA

$pathwayweights[[10]]
[1] 5 3 6 4

$pathwayweights[[11]]
[1] 5 3 6 6

$pathwayweights[[12]]
[1] 5 3 6 2 7

$pathwayweights[[13]]
[1] 5 3 6 2 1

$pathwayweights[[14]]
[1] 5 3 6 2 2

$pathwayweights[[15]]
[1]  5  3  6  2 NA

$pathwayweights[[16]]
[1] 5 7 7

$pathwayweights[[17]]
[1] 5 7 1 3

$pathwayweights[[18]]
[1] 5 7 1 8

$pathwayweights[[19]]
[1] 5 7 1 1

$pathwayweights[[20]]
[1] 5 7 1 6 4

$pathwayweights[[21]]
[1] 5 7 1 6 6

$pathwayweights[[22]]
[1] 5 7 1 6 2

$pathwayweights[[23]]
[1]  5  7  1  6 NA

$pathwayweights[[24]]
[1] 5 7 2 4

$pathwayweights[[25]]
[1] 5 7 2 6 3

$pathwayweights[[26]]
[1] 5 7 2 6 8

$pathwayweights[[27]]
[1] 5 7 2 6 1

$pathwayweights[[28]]
[1] 5 7 2 6 6

$pathwayweights[[29]]
[1]  5  7  2  6 NA

$pathwayweights[[30]]
[1] 5 7 2 2

$pathwayweights[[31]]
[1]  5  7  2 NA

$pathwayweights[[32]]
[1] 8 3 5

$pathwayweights[[33]]
[1] 8 3 3

$pathwayweights[[34]]
[1] 8 3 7 7

$pathwayweights[[35]]
[1] 8 3 7 1

$pathwayweights[[36]]
[1] 8 3 7 2 4

$pathwayweights[[37]]
[1] 8 3 7 2 6

$pathwayweights[[38]]
[1] 8 3 7 2 2

$pathwayweights[[39]]
[1]  8  3  7  2 NA

$pathwayweights[[40]]
[1] 8 8

$pathwayweights[[41]]
[1] 8 1 7 5

$pathwayweights[[42]]
[1] 8 1 7 3

$pathwayweights[[43]]
[1] 8 1 7 7

$pathwayweights[[44]]
[1]  8  1  7 NA

$pathwayweights[[45]]
[1] 8 1 1

$pathwayweights[[46]]
[1] 8 1 2 4

$pathwayweights[[47]]
[1] 8 1 2 6

$pathwayweights[[48]]
[1] 8 1 2 2

$pathwayweights[[49]]
[1]  8  1  2 NA

$pathwayweights[[50]]
[1] 8 6 4

$pathwayweights[[51]]
[1] 8 6 6

$pathwayweights[[52]]
[1] 8 6 2 7 5

$pathwayweights[[53]]
[1] 8 6 2 7 3

$pathwayweights[[54]]
[1] 8 6 2 7 7

$pathwayweights[[55]]
[1]  8  6  2  7 NA

$pathwayweights[[56]]
[1] 8 6 2 1

$pathwayweights[[57]]
[1] 8 6 2 2

$pathwayweights[[58]]
[1]  8  6  2 NA

$pathwayweights[[59]]
[1] 4 4

$pathwayweights[[60]]
[1] 4 6 3 5

$pathwayweights[[61]]
[1] 4 6 3 3

$pathwayweights[[62]]
[1] 4 6 3 7 7

$pathwayweights[[63]]
[1] 4 6 3 7 1

$pathwayweights[[64]]
[1] 4 6 3 7 2

$pathwayweights[[65]]
[1]  4  6  3  7 NA

$pathwayweights[[66]]
[1] 4 6 8

$pathwayweights[[67]]
[1] 4 6 1 7 5

$pathwayweights[[68]]
[1] 4 6 1 7 3

$pathwayweights[[69]]
[1] 4 6 1 7 7

$pathwayweights[[70]]
[1]  4  6  1  7 NA

$pathwayweights[[71]]
[1] 4 6 1 1

$pathwayweights[[72]]
[1] 4 6 1 2

$pathwayweights[[73]]
[1]  4  6  1 NA

$pathwayweights[[74]]
[1] 4 6 6

$pathwayweights[[75]]
[1]  4  6 NA

$pathwayweights[[76]]
[1] 4 2 7 5

$pathwayweights[[77]]
[1] 4 2 7 3 3

$pathwayweights[[78]]
[1] 4 2 7 3 8

$pathwayweights[[79]]
[1] 4 2 7 3 1

$pathwayweights[[80]]
[1] 4 2 7 3 6

$pathwayweights[[81]]
[1]  4  2  7  3 NA

$pathwayweights[[82]]
[1] 4 2 7 7

$pathwayweights[[83]]
[1]  4  2  7 NA

$pathwayweights[[84]]
[1] 4 2 1 3 5

$pathwayweights[[85]]
[1] 4 2 1 3 3

$pathwayweights[[86]]
[1] 4 2 1 3 7

$pathwayweights[[87]]
[1]  4  2  1  3 NA

$pathwayweights[[88]]
[1] 4 2 1 8

$pathwayweights[[89]]
[1] 4 2 1 1

$pathwayweights[[90]]
[1] 4 2 1 6

$pathwayweights[[91]]
[1]  4  2  1 NA

$pathwayweights[[92]]
[1] 4 2 2

$pathwayweights[[93]]
[1]  4  2 NA


$pathways
$pathways[[1]]
[1] 1 2 1

$pathways[[2]]
[1] 1 2 3 1

$pathways[[3]]
[1] 1 2 3 2

$pathways[[4]]
[1] 1 2 3 4 1

$pathways[[5]]
[1] 1 2 3 4 3

$pathways[[6]]
[1] 1 2 3 4 5 2

$pathways[[7]]
[1] 1 2 3 4 5 3

$pathways[[8]]
[1] 1 2 3 4 5 4

$pathways[[9]]
[1]  1  2  3  4  5 NA

$pathways[[10]]
[1] 1 2 3 5 2

$pathways[[11]]
[1] 1 2 3 5 3

$pathways[[12]]
[1] 1 2 3 5 4 1

$pathways[[13]]
[1] 1 2 3 5 4 3

$pathways[[14]]
[1] 1 2 3 5 4 5

$pathways[[15]]
[1]  1  2  3  5  4 NA

$pathways[[16]]
[1] 1 2 5 2

$pathways[[17]]
[1] 1 2 5 3 1

$pathways[[18]]
[1] 1 2 5 3 2

$pathways[[19]]
[1] 1 2 5 3 4 1

$pathways[[20]]
[1] 1 2 5 3 4 3

$pathways[[21]]
[1] 1 2 5 3 4 5

$pathways[[22]]
[1]  1  2  5  3  4 NA

$pathways[[23]]
[1] 1 2 5 3 5

$pathways[[24]]
[1]  1  2  5  3 NA

$pathways[[25]]
[1] 1 2 5 4 1

$pathways[[26]]
[1] 1 2 5 4 3 1

$pathways[[27]]
[1] 1 2 5 4 3 2

$pathways[[28]]
[1] 1 2 5 4 3 4

$pathways[[29]]
[1] 1 2 5 4 3 5

$pathways[[30]]
[1]  1  2  5  4  3 NA

$pathways[[31]]
[1] 1 2 5 4 5

$pathways[[32]]
[1]  1  2  5  4 NA

$pathways[[33]]
[1] 1 3 1

$pathways[[34]]
[1] 1 3 2 1

$pathways[[35]]
[1] 1 3 2 3

$pathways[[36]]
[1] 1 3 2 5 2

$pathways[[37]]
[1] 1 3 2 5 3

$pathways[[38]]
[1] 1 3 2 5 4 1

$pathways[[39]]
[1] 1 3 2 5 4 3

$pathways[[40]]
[1] 1 3 2 5 4 5

$pathways[[41]]
[1]  1  3  2  5  4 NA

$pathways[[42]]
[1] 1 3 4 1

$pathways[[43]]
[1] 1 3 4 3

$pathways[[44]]
[1] 1 3 4 5 2 1

$pathways[[45]]
[1] 1 3 4 5 2 3

$pathways[[46]]
[1] 1 3 4 5 2 5

$pathways[[47]]
[1]  1  3  4  5  2 NA

$pathways[[48]]
[1] 1 3 4 5 3

$pathways[[49]]
[1] 1 3 4 5 4

$pathways[[50]]
[1]  1  3  4  5 NA

$pathways[[51]]
[1] 1 3 5 2 1

$pathways[[52]]
[1] 1 3 5 2 3

$pathways[[53]]
[1] 1 3 5 2 5

$pathways[[54]]
[1]  1  3  5  2 NA

$pathways[[55]]
[1] 1 3 5 3

$pathways[[56]]
[1] 1 3 5 4 1

$pathways[[57]]
[1] 1 3 5 4 3

$pathways[[58]]
[1] 1 3 5 4 5

$pathways[[59]]
[1]  1  3  5  4 NA

$pathways[[60]]
[1] 1 4 1

$pathways[[61]]
[1] 1 4 3 1

$pathways[[62]]
[1] 1 4 3 2 1

$pathways[[63]]
[1] 1 4 3 2 3

$pathways[[64]]
[1] 1 4 3 2 5 2

$pathways[[65]]
[1] 1 4 3 2 5 3

$pathways[[66]]
[1] 1 4 3 2 5 4

$pathways[[67]]
[1]  1  4  3  2  5 NA

$pathways[[68]]
[1] 1 4 3 4

$pathways[[69]]
[1] 1 4 3 5 2 1

$pathways[[70]]
[1] 1 4 3 5 2 3

$pathways[[71]]
[1] 1 4 3 5 2 5

$pathways[[72]]
[1]  1  4  3  5  2 NA

$pathways[[73]]
[1] 1 4 3 5 3

$pathways[[74]]
[1] 1 4 3 5 4

$pathways[[75]]
[1]  1  4  3  5 NA

$pathways[[76]]
[1] 1 4 5 2 1

$pathways[[77]]
[1] 1 4 5 2 3 1

$pathways[[78]]
[1] 1 4 5 2 3 2

$pathways[[79]]
[1] 1 4 5 2 3 4

$pathways[[80]]
[1] 1 4 5 2 3 5

$pathways[[81]]
[1]  1  4  5  2  3 NA

$pathways[[82]]
[1] 1 4 5 2 5

$pathways[[83]]
[1]  1  4  5  2 NA

$pathways[[84]]
[1] 1 4 5 3 1

$pathways[[85]]
[1] 1 4 5 3 2 1

$pathways[[86]]
[1] 1 4 5 3 2 3

$pathways[[87]]
[1] 1 4 5 3 2 5

$pathways[[88]]
[1]  1  4  5  3  2 NA

$pathways[[89]]
[1] 1 4 5 3 4

$pathways[[90]]
[1] 1 4 5 3 5

$pathways[[91]]
[1]  1  4  5  3 NA

$pathways[[92]]
[1] 1 4 5 4

$pathways[[93]]
[1]  1  4  5 NA

$pathways[[94]]
[1] 3 1 2 1

$pathways[[95]]
[1] 3 1 2 3

$pathways[[96]]
[1] 3 1 2 5 2

$pathways[[97]]
[1] 3 1 2 5 3

$pathways[[98]]
[1] 3 1 2 5 4 1

$pathways[[99]]
[1] 3 1 2 5 4 3

$pathways[[100]]
[1] 3 1 2 5 4 5

$pathways[[101]]
[1]  3  1  2  5  4 NA

$pathways[[102]]
[1] 3 1 3

$pathways[[103]]
[1] 3 1 4 1

$pathways[[104]]
[1] 3 1 4 3

$pathways[[105]]
[1] 3 1 4 5 2 1

$pathways[[106]]
[1] 3 1 4 5 2 3

$pathways[[107]]
[1] 3 1 4 5 2 5

$pathways[[108]]
[1]  3  1  4  5  2 NA

$pathways[[109]]
[1] 3 1 4 5 3

$pathways[[110]]
[1] 3 1 4 5 4

$pathways[[111]]
[1]  3  1  4  5 NA

$pathways[[112]]
[1] 3 2 1 2

$pathways[[113]]
[1] 3 2 1 3

$pathways[[114]]
[1] 3 2 1 4 1

$pathways[[115]]
[1] 3 2 1 4 3

$pathways[[116]]
[1] 3 2 1 4 5 2

$pathways[[117]]
[1] 3 2 1 4 5 3

$pathways[[118]]
[1] 3 2 1 4 5 4

$pathways[[119]]
[1]  3  2  1  4  5 NA

$pathways[[120]]
[1] 3 2 3

$pathways[[121]]
[1] 3 2 5 2

$pathways[[122]]
[1] 3 2 5 3

$pathways[[123]]
[1] 3 2 5 4 1 2

$pathways[[124]]
[1] 3 2 5 4 1 3

$pathways[[125]]
[1] 3 2 5 4 1 4

$pathways[[126]]
[1]  3  2  5  4  1 NA

$pathways[[127]]
[1] 3 2 5 4 3

$pathways[[128]]
[1] 3 2 5 4 5

$pathways[[129]]
[1]  3  2  5  4 NA

$pathways[[130]]
[1] 3 4 1 2 1

$pathways[[131]]
[1] 3 4 1 2 3

$pathways[[132]]
[1] 3 4 1 2 5 2

$pathways[[133]]
[1] 3 4 1 2 5 3

$pathways[[134]]
[1] 3 4 1 2 5 4

$pathways[[135]]
[1]  3  4  1  2  5 NA

$pathways[[136]]
[1] 3 4 1 3

$pathways[[137]]
[1] 3 4 1 4

$pathways[[138]]
[1]  3  4  1 NA

$pathways[[139]]
[1] 3 4 3

$pathways[[140]]
[1] 3 4 5 2 1 2

$pathways[[141]]
[1] 3 4 5 2 1 3

$pathways[[142]]
[1] 3 4 5 2 1 4

$pathways[[143]]
[1]  3  4  5  2  1 NA

$pathways[[144]]
[1] 3 4 5 2 3

$pathways[[145]]
[1] 3 4 5 2 5

$pathways[[146]]
[1]  3  4  5  2 NA

$pathways[[147]]
[1] 3 4 5 3

$pathways[[148]]
[1] 3 4 5 4

$pathways[[149]]
[1]  3  4  5 NA

$pathways[[150]]
[1] 3 5 2 1 2

$pathways[[151]]
[1] 3 5 2 1 3

$pathways[[152]]
[1] 3 5 2 1 4 1

$pathways[[153]]
[1] 3 5 2 1 4 3

$pathways[[154]]
[1] 3 5 2 1 4 5

$pathways[[155]]
[1]  3  5  2  1  4 NA

$pathways[[156]]
[1] 3 5 2 3

$pathways[[157]]
[1] 3 5 2 5

$pathways[[158]]
[1]  3  5  2 NA

$pathways[[159]]
[1] 3 5 3

$pathways[[160]]
[1] 3 5 4 1 2 1

$pathways[[161]]
[1] 3 5 4 1 2 3

$pathways[[162]]
[1] 3 5 4 1 2 5

$pathways[[163]]
[1]  3  5  4  1  2 NA

$pathways[[164]]
[1] 3 5 4 1 3

$pathways[[165]]
[1] 3 5 4 1 4

$pathways[[166]]
[1]  3  5  4  1 NA

$pathways[[167]]
[1] 3 5 4 3

$pathways[[168]]
[1] 3 5 4 5

$pathways[[169]]
[1]  3  5  4 NA

$pathways[[170]]
[1] 5 2 1 2

$pathways[[171]]
[1] 5 2 1 3 1

$pathways[[172]]
[1] 5 2 1 3 2

$pathways[[173]]
[1] 5 2 1 3 4 1

$pathways[[174]]
[1] 5 2 1 3 4 3

$pathways[[175]]
[1] 5 2 1 3 4 5

$pathways[[176]]
[1]  5  2  1  3  4 NA

$pathways[[177]]
[1] 5 2 1 3 5

$pathways[[178]]
[1]  5  2  1  3 NA

$pathways[[179]]
[1] 5 2 1 4 1

$pathways[[180]]
[1] 5 2 1 4 3 1

$pathways[[181]]
[1] 5 2 1 4 3 2

$pathways[[182]]
[1] 5 2 1 4 3 4

$pathways[[183]]
[1] 5 2 1 4 3 5

$pathways[[184]]
[1]  5  2  1  4  3 NA

$pathways[[185]]
[1] 5 2 1 4 5

$pathways[[186]]
[1]  5  2  1  4 NA

$pathways[[187]]
[1] 5 2 3 1 2

$pathways[[188]]
[1] 5 2 3 1 3

$pathways[[189]]
[1] 5 2 3 1 4 1

$pathways[[190]]
[1] 5 2 3 1 4 3

$pathways[[191]]
[1] 5 2 3 1 4 5

$pathways[[192]]
[1]  5  2  3  1  4 NA

$pathways[[193]]
[1] 5 2 3 2

$pathways[[194]]
[1] 5 2 3 4 1 2

$pathways[[195]]
[1] 5 2 3 4 1 3

$pathways[[196]]
[1] 5 2 3 4 1 4

$pathways[[197]]
[1]  5  2  3  4  1 NA

$pathways[[198]]
[1] 5 2 3 4 3

$pathways[[199]]
[1] 5 2 3 4 5

$pathways[[200]]
[1]  5  2  3  4 NA

$pathways[[201]]
[1] 5 2 3 5

$pathways[[202]]
[1]  5  2  3 NA

$pathways[[203]]
[1] 5 2 5

$pathways[[204]]
[1]  5  2 NA

$pathways[[205]]
[1] 5 3 1 2 1

$pathways[[206]]
[1] 5 3 1 2 3

$pathways[[207]]
[1] 5 3 1 2 5

$pathways[[208]]
[1]  5  3  1  2 NA

$pathways[[209]]
[1] 5 3 1 3

$pathways[[210]]
[1] 5 3 1 4 1

$pathways[[211]]
[1] 5 3 1 4 3

$pathways[[212]]
[1] 5 3 1 4 5

$pathways[[213]]
[1]  5  3  1  4 NA

$pathways[[214]]
[1] 5 3 2 1 2

$pathways[[215]]
[1] 5 3 2 1 3

$pathways[[216]]
[1] 5 3 2 1 4 1

$pathways[[217]]
[1] 5 3 2 1 4 3

$pathways[[218]]
[1] 5 3 2 1 4 5

$pathways[[219]]
[1]  5  3  2  1  4 NA

$pathways[[220]]
[1] 5 3 2 3

$pathways[[221]]
[1] 5 3 2 5

$pathways[[222]]
[1]  5  3  2 NA

$pathways[[223]]
[1] 5 3 4 1 2 1

$pathways[[224]]
[1] 5 3 4 1 2 3

$pathways[[225]]
[1] 5 3 4 1 2 5

$pathways[[226]]
[1]  5  3  4  1  2 NA

$pathways[[227]]
[1] 5 3 4 1 3

$pathways[[228]]
[1] 5 3 4 1 4

$pathways[[229]]
[1]  5  3  4  1 NA

$pathways[[230]]
[1] 5 3 4 3

$pathways[[231]]
[1] 5 3 4 5

$pathways[[232]]
[1]  5  3  4 NA

$pathways[[233]]
[1] 5 3 5

$pathways[[234]]
[1]  5  3 NA

$pathways[[235]]
[1] 5 4 1 2 1

$pathways[[236]]
[1] 5 4 1 2 3 1

$pathways[[237]]
[1] 5 4 1 2 3 2

$pathways[[238]]
[1] 5 4 1 2 3 4

$pathways[[239]]
[1] 5 4 1 2 3 5

$pathways[[240]]
[1]  5  4  1  2  3 NA

$pathways[[241]]
[1] 5 4 1 2 5

$pathways[[242]]
[1]  5  4  1  2 NA

$pathways[[243]]
[1] 5 4 1 3 1

$pathways[[244]]
[1] 5 4 1 3 2 1

$pathways[[245]]
[1] 5 4 1 3 2 3

$pathways[[246]]
[1] 5 4 1 3 2 5

$pathways[[247]]
[1]  5  4  1  3  2 NA

$pathways[[248]]
[1] 5 4 1 3 4

$pathways[[249]]
[1] 5 4 1 3 5

$pathways[[250]]
[1]  5  4  1  3 NA

$pathways[[251]]
[1] 5 4 1 4

$pathways[[252]]
[1]  5  4  1 NA

$pathways[[253]]
[1] 5 4 3 1 2 1

$pathways[[254]]
[1] 5 4 3 1 2 3

$pathways[[255]]
[1] 5 4 3 1 2 5

$pathways[[256]]
[1]  5  4  3  1  2 NA

$pathways[[257]]
[1] 5 4 3 1 3

$pathways[[258]]
[1] 5 4 3 1 4

$pathways[[259]]
[1]  5  4  3  1 NA

$pathways[[260]]
[1] 5 4 3 2 1 2

$pathways[[261]]
[1] 5 4 3 2 1 3

$pathways[[262]]
[1] 5 4 3 2 1 4

$pathways[[263]]
[1]  5  4  3  2  1 NA

$pathways[[264]]
[1] 5 4 3 2 3

$pathways[[265]]
[1] 5 4 3 2 5

$pathways[[266]]
[1]  5  4  3  2 NA

$pathways[[267]]
[1] 5 4 3 4

$pathways[[268]]
[1] 5 4 3 5

$pathways[[269]]
[1]  5  4  3 NA

$pathways[[270]]
[1] 5 4 5

$pathways[[271]]
[1]  5  4 NA


$pathwayweights
$pathwayweights[[1]]
[1] 5 5

$pathwayweights[[2]]
[1] 5 8 3

$pathwayweights[[3]]
[1] 5 8 8

$pathwayweights[[4]]
[1] 5 8 1 7

$pathwayweights[[5]]
[1] 5 8 1 1

$pathwayweights[[6]]
[1] 5 8 1 2 4

$pathwayweights[[7]]
[1] 5 8 1 2 6

$pathwayweights[[8]]
[1] 5 8 1 2 2

$pathwayweights[[9]]
[1]  5  8  1  2 NA

$pathwayweights[[10]]
[1] 5 8 6 4

$pathwayweights[[11]]
[1] 5 8 6 6

$pathwayweights[[12]]
[1] 5 8 6 2 7

$pathwayweights[[13]]
[1] 5 8 6 2 1

$pathwayweights[[14]]
[1] 5 8 6 2 2

$pathwayweights[[15]]
[1]  5  8  6  2 NA

$pathwayweights[[16]]
[1] 5 4 4

$pathwayweights[[17]]
[1] 5 4 6 3

$pathwayweights[[18]]
[1] 5 4 6 8

$pathwayweights[[19]]
[1] 5 4 6 1 7

$pathwayweights[[20]]
[1] 5 4 6 1 1

$pathwayweights[[21]]
[1] 5 4 6 1 2

$pathwayweights[[22]]
[1]  5  4  6  1 NA

$pathwayweights[[23]]
[1] 5 4 6 6

$pathwayweights[[24]]
[1]  5  4  6 NA

$pathwayweights[[25]]
[1] 5 4 2 7

$pathwayweights[[26]]
[1] 5 4 2 1 3

$pathwayweights[[27]]
[1] 5 4 2 1 8

$pathwayweights[[28]]
[1] 5 4 2 1 1

$pathwayweights[[29]]
[1] 5 4 2 1 6

$pathwayweights[[30]]
[1]  5  4  2  1 NA

$pathwayweights[[31]]
[1] 5 4 2 2

$pathwayweights[[32]]
[1]  5  4  2 NA

$pathwayweights[[33]]
[1] 3 3

$pathwayweights[[34]]
[1] 3 8 5

$pathwayweights[[35]]
[1] 3 8 8

$pathwayweights[[36]]
[1] 3 8 4 4

$pathwayweights[[37]]
[1] 3 8 4 6

$pathwayweights[[38]]
[1] 3 8 4 2 7

$pathwayweights[[39]]
[1] 3 8 4 2 1

$pathwayweights[[40]]
[1] 3 8 4 2 2

$pathwayweights[[41]]
[1]  3  8  4  2 NA

$pathwayweights[[42]]
[1] 3 1 7

$pathwayweights[[43]]
[1] 3 1 1

$pathwayweights[[44]]
[1] 3 1 2 4 5

$pathwayweights[[45]]
[1] 3 1 2 4 8

$pathwayweights[[46]]
[1] 3 1 2 4 4

$pathwayweights[[47]]
[1]  3  1  2  4 NA

$pathwayweights[[48]]
[1] 3 1 2 6

$pathwayweights[[49]]
[1] 3 1 2 2

$pathwayweights[[50]]
[1]  3  1  2 NA

$pathwayweights[[51]]
[1] 3 6 4 5

$pathwayweights[[52]]
[1] 3 6 4 8

$pathwayweights[[53]]
[1] 3 6 4 4

$pathwayweights[[54]]
[1]  3  6  4 NA

$pathwayweights[[55]]
[1] 3 6 6

$pathwayweights[[56]]
[1] 3 6 2 7

$pathwayweights[[57]]
[1] 3 6 2 1

$pathwayweights[[58]]
[1] 3 6 2 2

$pathwayweights[[59]]
[1]  3  6  2 NA

$pathwayweights[[60]]
[1] 7 7

$pathwayweights[[61]]
[1] 7 1 3

$pathwayweights[[62]]
[1] 7 1 8 5

$pathwayweights[[63]]
[1] 7 1 8 8

$pathwayweights[[64]]
[1] 7 1 8 4 4

$pathwayweights[[65]]
[1] 7 1 8 4 6

$pathwayweights[[66]]
[1] 7 1 8 4 2

$pathwayweights[[67]]
[1]  7  1  8  4 NA

$pathwayweights[[68]]
[1] 7 1 1

$pathwayweights[[69]]
[1] 7 1 6 4 5

$pathwayweights[[70]]
[1] 7 1 6 4 8

$pathwayweights[[71]]
[1] 7 1 6 4 4

$pathwayweights[[72]]
[1]  7  1  6  4 NA

$pathwayweights[[73]]
[1] 7 1 6 6

$pathwayweights[[74]]
[1] 7 1 6 2

$pathwayweights[[75]]
[1]  7  1  6 NA

$pathwayweights[[76]]
[1] 7 2 4 5

$pathwayweights[[77]]
[1] 7 2 4 8 3

$pathwayweights[[78]]
[1] 7 2 4 8 8

$pathwayweights[[79]]
[1] 7 2 4 8 1

$pathwayweights[[80]]
[1] 7 2 4 8 6

$pathwayweights[[81]]
[1]  7  2  4  8 NA

$pathwayweights[[82]]
[1] 7 2 4 4

$pathwayweights[[83]]
[1]  7  2  4 NA

$pathwayweights[[84]]
[1] 7 2 6 3

$pathwayweights[[85]]
[1] 7 2 6 8 5

$pathwayweights[[86]]
[1] 7 2 6 8 8

$pathwayweights[[87]]
[1] 7 2 6 8 4

$pathwayweights[[88]]
[1]  7  2  6  8 NA

$pathwayweights[[89]]
[1] 7 2 6 1

$pathwayweights[[90]]
[1] 7 2 6 6

$pathwayweights[[91]]
[1]  7  2  6 NA

$pathwayweights[[92]]
[1] 7 2 2

$pathwayweights[[93]]
[1]  7  2 NA

$pathwayweights[[94]]
[1] 3 5 5

$pathwayweights[[95]]
[1] 3 5 8

$pathwayweights[[96]]
[1] 3 5 4 4

$pathwayweights[[97]]
[1] 3 5 4 6

$pathwayweights[[98]]
[1] 3 5 4 2 7

$pathwayweights[[99]]
[1] 3 5 4 2 1

$pathwayweights[[100]]
[1] 3 5 4 2 2

$pathwayweights[[101]]
[1]  3  5  4  2 NA

$pathwayweights[[102]]
[1] 3 3

$pathwayweights[[103]]
[1] 3 7 7

$pathwayweights[[104]]
[1] 3 7 1

$pathwayweights[[105]]
[1] 3 7 2 4 5

$pathwayweights[[106]]
[1] 3 7 2 4 8

$pathwayweights[[107]]
[1] 3 7 2 4 4

$pathwayweights[[108]]
[1]  3  7  2  4 NA

$pathwayweights[[109]]
[1] 3 7 2 6

$pathwayweights[[110]]
[1] 3 7 2 2

$pathwayweights[[111]]
[1]  3  7  2 NA

$pathwayweights[[112]]
[1] 8 5 5

$pathwayweights[[113]]
[1] 8 5 3

$pathwayweights[[114]]
[1] 8 5 7 7

$pathwayweights[[115]]
[1] 8 5 7 1

$pathwayweights[[116]]
[1] 8 5 7 2 4

$pathwayweights[[117]]
[1] 8 5 7 2 6

$pathwayweights[[118]]
[1] 8 5 7 2 2

$pathwayweights[[119]]
[1]  8  5  7  2 NA

$pathwayweights[[120]]
[1] 8 8

$pathwayweights[[121]]
[1] 8 4 4

$pathwayweights[[122]]
[1] 8 4 6

$pathwayweights[[123]]
[1] 8 4 2 7 5

$pathwayweights[[124]]
[1] 8 4 2 7 3

$pathwayweights[[125]]
[1] 8 4 2 7 7

$pathwayweights[[126]]
[1]  8  4  2  7 NA

$pathwayweights[[127]]
[1] 8 4 2 1

$pathwayweights[[128]]
[1] 8 4 2 2

$pathwayweights[[129]]
[1]  8  4  2 NA

$pathwayweights[[130]]
[1] 1 7 5 5

$pathwayweights[[131]]
[1] 1 7 5 8

$pathwayweights[[132]]
[1] 1 7 5 4 4

$pathwayweights[[133]]
[1] 1 7 5 4 6

$pathwayweights[[134]]
[1] 1 7 5 4 2

$pathwayweights[[135]]
[1]  1  7  5  4 NA

$pathwayweights[[136]]
[1] 1 7 3

$pathwayweights[[137]]
[1] 1 7 7

$pathwayweights[[138]]
[1]  1  7 NA

$pathwayweights[[139]]
[1] 1 1

$pathwayweights[[140]]
[1] 1 2 4 5 5

$pathwayweights[[141]]
[1] 1 2 4 5 3

$pathwayweights[[142]]
[1] 1 2 4 5 7

$pathwayweights[[143]]
[1]  1  2  4  5 NA

$pathwayweights[[144]]
[1] 1 2 4 8

$pathwayweights[[145]]
[1] 1 2 4 4

$pathwayweights[[146]]
[1]  1  2  4 NA

$pathwayweights[[147]]
[1] 1 2 6

$pathwayweights[[148]]
[1] 1 2 2

$pathwayweights[[149]]
[1]  1  2 NA

$pathwayweights[[150]]
[1] 6 4 5 5

$pathwayweights[[151]]
[1] 6 4 5 3

$pathwayweights[[152]]
[1] 6 4 5 7 7

$pathwayweights[[153]]
[1] 6 4 5 7 1

$pathwayweights[[154]]
[1] 6 4 5 7 2

$pathwayweights[[155]]
[1]  6  4  5  7 NA

$pathwayweights[[156]]
[1] 6 4 8

$pathwayweights[[157]]
[1] 6 4 4

$pathwayweights[[158]]
[1]  6  4 NA

$pathwayweights[[159]]
[1] 6 6

$pathwayweights[[160]]
[1] 6 2 7 5 5

$pathwayweights[[161]]
[1] 6 2 7 5 8

$pathwayweights[[162]]
[1] 6 2 7 5 4

$pathwayweights[[163]]
[1]  6  2  7  5 NA

$pathwayweights[[164]]
[1] 6 2 7 3

$pathwayweights[[165]]
[1] 6 2 7 7

$pathwayweights[[166]]
[1]  6  2  7 NA

$pathwayweights[[167]]
[1] 6 2 1

$pathwayweights[[168]]
[1] 6 2 2

$pathwayweights[[169]]
[1]  6  2 NA

$pathwayweights[[170]]
[1] 4 5 5

$pathwayweights[[171]]
[1] 4 5 3 3

$pathwayweights[[172]]
[1] 4 5 3 8

$pathwayweights[[173]]
[1] 4 5 3 1 7

$pathwayweights[[174]]
[1] 4 5 3 1 1

$pathwayweights[[175]]
[1] 4 5 3 1 2

$pathwayweights[[176]]
[1]  4  5  3  1 NA

$pathwayweights[[177]]
[1] 4 5 3 6

$pathwayweights[[178]]
[1]  4  5  3 NA

$pathwayweights[[179]]
[1] 4 5 7 7

$pathwayweights[[180]]
[1] 4 5 7 1 3

$pathwayweights[[181]]
[1] 4 5 7 1 8

$pathwayweights[[182]]
[1] 4 5 7 1 1

$pathwayweights[[183]]
[1] 4 5 7 1 6

$pathwayweights[[184]]
[1]  4  5  7  1 NA

$pathwayweights[[185]]
[1] 4 5 7 2

$pathwayweights[[186]]
[1]  4  5  7 NA

$pathwayweights[[187]]
[1] 4 8 3 5

$pathwayweights[[188]]
[1] 4 8 3 3

$pathwayweights[[189]]
[1] 4 8 3 7 7

$pathwayweights[[190]]
[1] 4 8 3 7 1

$pathwayweights[[191]]
[1] 4 8 3 7 2

$pathwayweights[[192]]
[1]  4  8  3  7 NA

$pathwayweights[[193]]
[1] 4 8 8

$pathwayweights[[194]]
[1] 4 8 1 7 5

$pathwayweights[[195]]
[1] 4 8 1 7 3

$pathwayweights[[196]]
[1] 4 8 1 7 7

$pathwayweights[[197]]
[1]  4  8  1  7 NA

$pathwayweights[[198]]
[1] 4 8 1 1

$pathwayweights[[199]]
[1] 4 8 1 2

$pathwayweights[[200]]
[1]  4  8  1 NA

$pathwayweights[[201]]
[1] 4 8 6

$pathwayweights[[202]]
[1]  4  8 NA

$pathwayweights[[203]]
[1] 4 4

$pathwayweights[[204]]
[1]  4 NA

$pathwayweights[[205]]
[1] 6 3 5 5

$pathwayweights[[206]]
[1] 6 3 5 8

$pathwayweights[[207]]
[1] 6 3 5 4

$pathwayweights[[208]]
[1]  6  3  5 NA

$pathwayweights[[209]]
[1] 6 3 3

$pathwayweights[[210]]
[1] 6 3 7 7

$pathwayweights[[211]]
[1] 6 3 7 1

$pathwayweights[[212]]
[1] 6 3 7 2

$pathwayweights[[213]]
[1]  6  3  7 NA

$pathwayweights[[214]]
[1] 6 8 5 5

$pathwayweights[[215]]
[1] 6 8 5 3

$pathwayweights[[216]]
[1] 6 8 5 7 7

$pathwayweights[[217]]
[1] 6 8 5 7 1

$pathwayweights[[218]]
[1] 6 8 5 7 2

$pathwayweights[[219]]
[1]  6  8  5  7 NA

$pathwayweights[[220]]
[1] 6 8 8

$pathwayweights[[221]]
[1] 6 8 4

$pathwayweights[[222]]
[1]  6  8 NA

$pathwayweights[[223]]
[1] 6 1 7 5 5

$pathwayweights[[224]]
[1] 6 1 7 5 8

$pathwayweights[[225]]
[1] 6 1 7 5 4

$pathwayweights[[226]]
[1]  6  1  7  5 NA

$pathwayweights[[227]]
[1] 6 1 7 3

$pathwayweights[[228]]
[1] 6 1 7 7

$pathwayweights[[229]]
[1]  6  1  7 NA

$pathwayweights[[230]]
[1] 6 1 1

$pathwayweights[[231]]
[1] 6 1 2

$pathwayweights[[232]]
[1]  6  1 NA

$pathwayweights[[233]]
[1] 6 6

$pathwayweights[[234]]
[1]  6 NA

$pathwayweights[[235]]
[1] 2 7 5 5

$pathwayweights[[236]]
[1] 2 7 5 8 3

$pathwayweights[[237]]
[1] 2 7 5 8 8

$pathwayweights[[238]]
[1] 2 7 5 8 1

$pathwayweights[[239]]
[1] 2 7 5 8 6

$pathwayweights[[240]]
[1]  2  7  5  8 NA

$pathwayweights[[241]]
[1] 2 7 5 4

$pathwayweights[[242]]
[1]  2  7  5 NA

$pathwayweights[[243]]
[1] 2 7 3 3

$pathwayweights[[244]]
[1] 2 7 3 8 5

$pathwayweights[[245]]
[1] 2 7 3 8 8

$pathwayweights[[246]]
[1] 2 7 3 8 4

$pathwayweights[[247]]
[1]  2  7  3  8 NA

$pathwayweights[[248]]
[1] 2 7 3 1

$pathwayweights[[249]]
[1] 2 7 3 6

$pathwayweights[[250]]
[1]  2  7  3 NA

$pathwayweights[[251]]
[1] 2 7 7

$pathwayweights[[252]]
[1]  2  7 NA

$pathwayweights[[253]]
[1] 2 1 3 5 5

$pathwayweights[[254]]
[1] 2 1 3 5 8

$pathwayweights[[255]]
[1] 2 1 3 5 4

$pathwayweights[[256]]
[1]  2  1  3  5 NA

$pathwayweights[[257]]
[1] 2 1 3 3

$pathwayweights[[258]]
[1] 2 1 3 7

$pathwayweights[[259]]
[1]  2  1  3 NA

$pathwayweights[[260]]
[1] 2 1 8 5 5

$pathwayweights[[261]]
[1] 2 1 8 5 3

$pathwayweights[[262]]
[1] 2 1 8 5 7

$pathwayweights[[263]]
[1]  2  1  8  5 NA

$pathwayweights[[264]]
[1] 2 1 8 8

$pathwayweights[[265]]
[1] 2 1 8 4

$pathwayweights[[266]]
[1]  2  1  8 NA

$pathwayweights[[267]]
[1] 2 1 1

$pathwayweights[[268]]
[1] 2 1 6

$pathwayweights[[269]]
[1]  2  1 NA

$pathwayweights[[270]]
[1] 2 2

$pathwayweights[[271]]
[1]  2 NA

loop documentation built on May 2, 2019, 9:07 a.m.