; ToDo: Seth Tisue: Make inEdges/outEdges lists of turtles thus agentlists
; Make controls clearer w/ In/Out labels
;
globals [
    steps         ; Number of steps the model has made (think hours for peers)
    graphs        ; List of connected sub graphs in peer network
    maxgraph      ; The ID of the graph with the largest number of nodes
    percent       ; Percent of total maxgraphsize is
    maxgraphsize  ; The number of nodes is has
    totalEdges    ; Total number of edges
]
turtles-own [
    inEdges       ; List of IDs of nodes pointing to me
    outEdges      ; List of IDs of nodes I point to
    numOutEdges   ; Number of out edges I'm supposed to maintain
    nhood         ; The nodes in my neighborhood
    ttl           ; The number of steps until I go off the air
    graph         ; The subnet I currently belong to
]
to-report edgeCount
    report length outEdges + length inEdges
end
to setup
    clear-all
    set-default-shape turtles "circle"
    set steps 0
    create-custom-turtles (screen-size-x * screen-size-y) [
        set ycor (screen-edge-y - floor (who / screen-size-x))
        set xcor (who mod screen-size-x) - screen-edge-x
        set color gray
        set inEdges []
        set outEdges []
        set ttl 0
        set numOutEdges 0
        ifelse drawLabels? [set label  0 + " "][set label no-label]
    ]
    ask turtles [ ; need second pass for nhood: all turtles created & in place
        set nhood turtles with [
            (distance myself <= radiusRange) and (who != who-of myself)
        ]
    ]
end
to step
    set steps steps + 1
    ask turtles [
        ifelse (ttl = 0) [
            if ( random 100 < birthProbability ) [createNode]
        ] [
            set ttl ttl - 1
            if (ttl = 0) [destroyNode]
        ]
    ]
    ; nodes may need to add links anytime they are reduced
    ; by deletions or because there were previously too 
    ; few "on" neighbors available
    ask turtles with [numOutEdges > length outEdges] [
        addOutEdges (numOutEdges - length outEdges)
    ]
    calcGraphs
    set totalEdges 0
    ask turtles [
        ;set edgeCount length outEdges + length inEdges
        ifelse (ttl = 0) [hideturtle][
            set totalEdges totalEdges + edgeCount
            set color (position graph graphs) * 10 + red
            ifelse drawLabels? 
                [set label (length outEdges + length inEdges) + " "]
                [set label no-label]
            showturtle
        ]
    ]
    set totalEdges totalEdges / 2 ; Resolve double count
    doPlots
end
to createNode
    set ttl 1 + random lifeRange
    set numOutEdges 1 + random edgesRange
end
to destroyNode
    locals [myID]
    set ttl 0
    set numOutEdges 0
    set myID who
    ask nhood [
        set inEdges remove myID inEdges
        set outEdges remove myID outEdges
    ]
    set inEdges []
    set outEdges []
end
to addOutEdges [numEdges]
    locals [myID theirID them]
    set myid who
    repeat numEdges [
        set them random-one-of nhood with [
            not (member? myID outEdges or member? myID inEdges or ttl = 0)
        ]
        if (them != nobody) [
            ask them [
                set inEdges fput myID inEdges
                set theirID who
            ]
            set outEdges fput theirID outEdges
        ]
    ]
end
to calcGraphs
    locals[stack node edges graphsize]
    set graphs [] ; reset list of graphs
    set maxgraphsize 0
    ask turtles [set graph -1] ; reset which graph each turtle belongs to
    ask turtles with [ttl > 0] [
        ; important! must be sequential due to state kept in turtles
        without-interruption [ 
            if (graph = -1) [ ; if this turtle not yet in a graph, make root of next graph
                set stack [] ; stack of current batch of turtles to be processed
                set stack fput turtle who stack
                set graph who
                set graphs lput who graphs
                set graphsize 0
                while [length stack > 0] [
                    set node first stack
                    set stack but-first stack
                    set graphsize graphsize + 1
                    set edges sentence inEdges-of node outEdges-of node
                    while [length edges > 0] [
                        set node turtle first edges
                        set edges but-first edges
                        if (graph-of node = -1) [
                            set graph-of node who
                            set stack lput node stack
                        ]
                    ]
                    if (graphsize > maxgraphsize) [
                        set maxgraph who
                        set maxgraphsize graphsize
                    ]
                ]
            ]
        ]
    ]
    set graphs sentence maxgraph remove maxgraph graphs
    set percent maxgraphsize / count turtles with [ ttl > 0 ]
end
to doPlots
    set-current-plot "Nodes"
    set-current-plot-pen "One"
        plot count turtles with [edgeCount = 1]
    set-current-plot-pen "Two"
        plot count turtles with [edgeCount = 2]
    set-current-plot-pen "Three"
        plot count turtles with [edgeCount = 3]
    set-current-plot-pen "Four"
        plot count turtles with [edgeCount = 4]
    set-current-plot-pen "Five"
        plot count turtles with [edgeCount = 5]
    set-current-plot-pen "Six"
        plot count turtles with [edgeCount = 6]
    set-current-plot-pen ">Six"
        plot count turtles with [edgeCount > 6]
    set-current-plot "EdgeHistogram"
    set-histogram-num-bars 10
    histogram-from turtles with [ttl > 0] [edgeCount]
end
@#$#@#$#@
GRAPHICS-WINDOW
309
10
739
461
10
10
20.0
1
12
0
0
0

CC-WINDOW
309
467
731
587
Command Center

BUTTON
6
43
61
76
NIL
setup
NIL
1
T
OBSERVER
T

SLIDER
131
79
303
112
lifeRange
lifeRange
1
10
4
1
1
NIL

BUTTON
6
78
61
111
NIL
step
NIL
1
T
OBSERVER
T

SLIDER
131
117
303
150
radiusRange
radiusRange
1
5
2
1
1
NIL

SLIDER
131
42
303
75
birthProbability
birthProbability
1
100
20
1
1
NIL

SLIDER
131
153
304
186
edgesRange
edgesRange
1
8
2
1
1
NIL

BUTTON
6
112
62
145
go
step
T
1
T
OBSERVER
T

MONITOR
67
44
124
93
NIL
steps
3
1

SWITCH
6
147
126
180
drawLabels?
drawLabels?
1
1
-1000

PLOT
0
358
305
588
Nodes
Step
NodeCount
0.0
50.0
0.0
50.0
true
true
PENS
"One" 1.0 0 -8716033 true
"Two" 1.0 0 -16776961 true
"Three" 1.0 0 -65536 true
"Four" 1.0 0 -16711681 true
"Five" 1.0 0 -16711936 true
"Six" 1.0 0 -6524078 true
">Six" 1.0 0 -16777216 true

PLOT
3
186
304
355
EdgeHistogram
Edges
Nodes
1.0
10.0
0.0
10.0
true
false
PENS
"default" 1.0 1 -65536 true

MONITOR
67
96
127
145
percent
percent
3
1

@#$#@#$#@
PeerNet

The model creates a peer network who's network nodes/peers come alive (i.e. boot and joint the network) for a fixed time, then turn off again, dropping out of the network.  The fixed time is chosen randomly between 1 and a maximum life (lifeRange).

When a peer joins the net, she receives a number of outward pointing connections/edges (numOutEdges) she attempts to maintain with other peers.  She keeps a list of her current outward edges/connections (outEdges) and incoming connections/edges (inEdges) from other peers who's outEdges point to her.  Whenever her numOutEdges is larger than the actual outEdge list, she creates new connections within her neighborhood.  The new connection cannot be an existing in or out edge.

A peer's neighborhood is determined at birth to be the peers within a radius randomly chosen between 1 and a maximum radius (radiusRange).  Similarly, numOutEdges is chosen between 1 and a maximum number of edges (edgesRange).

Every step of the simulation, think hours for example, decreases the time to live (ttl) of the peer node.  When it dies, it stays off for one cycle, then rejoins with a fixed probability (birthProbability).

At the end of a step, a global calculation of disjoint subgraphs is made .. the peer groups that are complete by them selves but cannot "see" the other peer groups. The largest peer group is grey, the others various colors.  The size of the largest group is displayed as "maxnet".

Usage

First set the four sliders to the values of interest.  An interesting set is:
	birthProbability: 20 (come to life roughly one in five chances)
	lifeRange: 4 (stay alive from 1 to 4 hours/steps)
	radiusRange: 2 (use a neighborhood of radius between 1 to 2 patches)
	edgesRange: 2 (have between 1 and 2 outgoing edges)
This set typically has more than one peer group, which can be seen by the multiple colored subnets.

To run the simulation, click Setup to initialize the network, and Step to single step the simulation, or Go to run the simulation continuously.  Click Go again to stop the continuous run.

Realistically, the edge and radius ranges would be larger, and would show the point of this model: peer nets tend to "close" rather naturally, avoiding disjoint subnets of isolated peer groups.
@#$#@#$#@
default
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Polygon -7566196 true true 150 5 40 250 150 205 260 250

ant
true
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Polygon -7566196 true true 150 95 135 103 139 117 125 149 137 180 135 196 150 204 166 195 161 180 174 150 158 116 164 102
Polygon -7566196 true true 149 186 128 197 114 232 134 270 149 282 166 270 185 232 171 195 149 186 149 186
Polygon -7566196 true true 225 66 230 107 159 122 161 127 234 111 236 106
Polygon -7566196 true true 78 58 99 116 139 123 137 128 95 119
Polygon -7566196 true true 48 103 90 147 129 147 130 151 86 151
Polygon -7566196 true true 65 224 92 171 134 160 135 164 95 175
Polygon -7566196 true true 235 222 210 170 163 162 161 166 208 174
Polygon -7566196 true true 249 107 211 147 168 147 168 150 213 150

arrow
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Polygon -7566196 true true 150 0 0 150 105 150 105 293 195 293 195 150 300 150

bee
true
0
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Polygon -16777216 true false 151 150 149 128 149 114 155 98 178 80 197 80 217 81 233 95 242 117 246 141 247 151 245 177 234 195 218 207 206 211 184 211 161 204 151 189 148 171
Polygon -7566196 true true 246 151 241 119 240 96 250 81 261 78 275 87 282 103 277 115 287 121 299 150 286 180 277 189 283 197 281 210 270 222 256 222 243 212 242 192
Polygon -16777216 true false 115 70 129 74 128 223 114 224
Polygon -16777216 true false 89 67 74 71 74 224 89 225 89 67
Polygon -16777216 true false 43 91 31 106 31 195 45 211
Line -1 false 200 144 213 70
Line -1 false 213 70 213 45
Line -1 false 214 45 203 26
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Line -1 false 162 227 163 241
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Line -1 false 171 249 190 254
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bird1
false
0
Polygon -7566196 true true 2 6 2 39 270 298 297 298 299 271 187 160 279 75 276 22 100 67 31 0

bird2
false
0
Polygon -7566196 true true 2 4 33 4 298 270 298 298 272 298 155 184 117 289 61 295 61 105 0 43

boat1
false
0
Polygon -1 true false 63 162 90 207 223 207 290 162
Rectangle -6524078 true false 150 32 157 162
Polygon -16776961 true false 150 34 131 49 145 47 147 48 149 49
Polygon -7566196 true true 158 33 230 157 182 150 169 151 157 156
Polygon -7566196 true true 149 55 88 143 103 139 111 136 117 139 126 145 130 147 139 147 146 146 149 55

boat2
false
0
Polygon -1 true false 63 162 90 207 223 207 290 162
Rectangle -6524078 true false 150 32 157 162
Polygon -16776961 true false 150 34 131 49 145 47 147 48 149 49
Polygon -7566196 true true 157 54 175 79 174 96 185 102 178 112 194 124 196 131 190 139 192 146 211 151 216 154 157 154
Polygon -7566196 true true 150 74 146 91 139 99 143 114 141 123 137 126 131 129 132 139 142 136 126 142 119 147 148 147

boat3
false
0
Polygon -1 true false 63 162 90 207 223 207 290 162
Rectangle -6524078 true false 150 32 157 162
Polygon -16776961 true false 150 34 131 49 145 47 147 48 149 49
Polygon -7566196 true true 158 37 172 45 188 59 202 79 217 109 220 130 218 147 204 156 158 156 161 142 170 123 170 102 169 88 165 62
Polygon -7566196 true true 149 66 142 78 139 96 141 111 146 139 148 147 110 147 113 131 118 106 126 71

box
true
0
Polygon -7566196 true true 45 255 255 255 255 45 45 45

butterfly1
true
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Polygon -7566196 true true 136 110 119 82 110 71 85 61 59 48 36 56 17 88 6 115 2 147 15 178 134 178
Polygon -7566196 true true 46 181 28 227 50 255 77 273 112 283 135 274 135 180
Polygon -7566196 true true 165 185 254 184 272 224 255 251 236 267 191 283 164 276
Line -7566196 true 167 47 159 82
Line -7566196 true 136 47 145 81
Circle -7566196 true true 165 45 8
Circle -7566196 true true 134 45 6
Circle -7566196 true true 133 44 7
Circle -7566196 true true 133 43 8

circle
false
0
Circle -7566196 true true 35 35 230

person
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Rectangle -7566196 true true 158 79 217 164
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Polygon -7566196 true true 216 83 267 123 248 143 215 107
Polygon -7566196 true true 167 163 145 234 183 234 183 163
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spacecraft
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thin-arrow
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Polygon -7566196 true true 225 30 225 270 120 270 105 210 60 180 45 30 105 60 105 30
Polygon -8716033 true false 195 75 195 120 240 120 240 75
Polygon -8716033 true false 195 225 195 180 240 180 240 225

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Polygon -7566196 true true 120 135 225 135 225 210 75 210 75 165 105 165
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Polygon -8716033 true false 210 210 195 225 180 210
Polygon -8716033 true false 120 210 105 225 90 210

turtle
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wolf-left
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Polygon -6524078 true true 87 80 79 55 76 79
Polygon -6524078 true true 81 75 70 58 73 82
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Polygon -6524078 true true 107 138 107 186 98 190 99 196 112 196 115 190
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Rectangle -6524078 true true 109 150 114 192
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Polygon -6524078 true true 207 140 200 163 206 175 207 192 193 189 192 177 198 176 185 150
Polygon -6524078 true true 214 134 203 168 192 148
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Polygon -6524078 true true 207 103 221 98 236 101 243 115 243 128 256 142 239 143 233 133 225 115 214 114

wolf-right
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Polygon -6524078 true true 48 143 58 141
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Polygon -6524078 true true 45 129 35 142 37 159 53 192 47 210 62 238 80 237
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@#$#@#$#@
NetLogo 2.0beta4
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@