rmurcioUCL_utilityCode/ukF.nlogo
extensions [ gis ]
patches-own [potential new-potential seedp capacity ccapacity ]
turtles-own [ xtur ytur xct yct]
globals [cIndex cIndext fileName j filePlots fileView i x1 y1 x2 y2 x3 y3 x4 y4 x5 y5 x6 y6 x10 y10 x11 y11 yt xt xm ym flag cities-dataset
          countries-dataset aspect] ;; x7 y7 x8 y8 x9 y9


;; Init VS and SOC

to setup
 clear-all
  RESET-TICKS
  ;;load map
  set cities-dataset gis:load-dataset "ukcities/ukcities.shp"
 set countries-dataset gis:load-dataset "ukcities/ukclose.shp"
  ; Set the world envelope to the union of all of our dataset's envelopes
  gis:set-world-envelope (gis:envelope-union-of (gis:envelope-of cities-dataset)
                                             (gis:envelope-of countries-dataset))
  ;set aspect gis:create-raster gis:width-of countries-dataset gis:height-of countries-dataset gis:envelope-of countries-dataset
  
  ;gis:set-drawing-color 0
  ;gis:draw countries-dataset 1
  ;gis:set-drawing-color green
  ;gis:draw cities-dataset 1

set i 1
set xm 312
set ym 95
; London  43ad
set x1 xm  
set y1 ym
;Birmingham seventh century
set x2 xm - 77 
set y2 ym + 46 
;Manchester first century
set x3 xm - 96
set y3 ym + 91
;Leeds-Bradford seventh century
set x4 xm - 61
set y4 ym + 106
;Liverpool/Birkenhead 1200
set x5 xm - 119
set y5 ym + 89
;Newcastle-Sunderland 
set x6 xm - 144
set y6 ym + 201
;Sheffield 
;set x7 805 - xt
;set y7 275
;Portsmouth/Southampton 
;set x8 0 - xt
;set y8 835
;Nottingham-Derby 
;set x9 825 - xt
;set y9 235
;Glasgow 10th
set x10 xm - 187 
set y10 ym + 200
;Cardiff & South Wales   1st
set x11 xm - 137
set y11 ym + 1
;Bristol  
;set x12 735 - xt
;set y12 75

ask patches [set pcolor 95 
  set potential -1000]
ask patches gis:intersecting countries-dataset
  [ set pcolor 67
    set potential one-of [1 -1]
    set capacity 5 
    set ccapacity 0
  ]
  
  set cIndex 1
  set cIndext 0
  set j 0
  my-update-plots
end

to setHA
  historicalAccidents 20.0 100 10 x1 y1 9.9
  ;let xv x2 - 75
  ;historicalAccidents 10.7 26.8 1 x10 y10  red
  ;historicalAccidents 7.4 18.6 1 x3 y3  green
  ;historicalAccidents 6.7 16.7 1 x4 y4  yellow
  ;historicalAccidents 6.5 16.3 1 x5 y5  gray
  ;historicalAccidents 4.6 10.1 1 x6 y6  lime
  ;historicalAccidents 3.2 8.0 1 x11 y11  violet 
end
to historicalAccidents [p c cc x y pc]
  ask patch x y [
    set potential p
    set capacity c
    set ccapacity cc
    set pcolor pc 
  ]
end


to setIR
  influenceR x1 y1 100 0 0
  influenceR x2 y2 10 1 threshold / 2
  influenceR x3 y3 10 1 threshold / 3
  influenceR x4 y4 10 1 threshold / 3
  influenceR x5 y5 10 1 threshold / 3
  influenceR x6 y6 10 1 threshold / 4
  influenceR x10 y10 10 1 threshold / 4
  influenceR x11 y11 10 1 threshold / 4
  let xv x2 - 70
  influenceR xv y2 30 1 -1
  
end

to influenceR [xc yc ri s si]
  ask patches gis:intersecting countries-dataset [
  let x pxcor let y pycor
  let r (sqrt((x - xc)*(x - xc) + (y - yc)*(y - yc)))
     if r < ri and r != 0
      [
        ;set pcolor 69
        let p ceiling((r ^ -0.3) * 25)
        set capacity p
        if s = 1 [set potential si]
      ]
 ]
  
end

to go
  
  ask patches gis:intersecting countries-dataset [ 
    
    
    let stemp count neighbors4 with [potential < -500]
    let s sum [potential] of neighbors4  + stemp * 1000
   ; set new-potential (potential + sum [potential] of neighbors4 ) / 5 + one-of [1 -1] + (0.0001 * (ccapacity + sum [ccapacity] of neighbors4 / 5 ))]
   set new-potential (potential + s ) / 5 + one-of [1 -1] + (0.0001 * (ccapacity + sum [ccapacity] of neighbors4 / 5 ))]
  ask patches gis:intersecting countries-dataset [
               ;let ptemp potential
               set potential new-potential
               fixPotential x1 y1 20
               set xt x1 + 1
               fixPotential xt y1 20
              ; set xt x1 - 1
              ; fixPotential xt y1 20.0
              ; set yt y1 + 1
              ; fixPotential x1 yt 20.0
              ; set yt y1 - 1
              ; fixPotential x1 yt 20.0
               ;fixPotential x2 y2 ptemp 
               ;set xt x2 + 1
               ;fixPotential xt y2 ptemp 
               ;set xt x2 - 1
               ;fixPotential xt y2 ptemp 
               ;fixPotential x3 y3 ptemp 
               ;set xt x3 + 1
               ;fixPotential x3 y3 ptemp
               ;fixPotential x4 y4 ptemp 
               ;set xt x4 + 1
               ;fixPotential xt y4 ptemp 
               ;fixPotential x5 y5 ptemp 
               ;set xt x5 + 1
               ;fixPotential xt y5 ptemp
               ;fixPotential x6 y6 ptemp 
               ;set xt x6 + 1               
               ;fixPotential xt y6 ptemp
               ;fixPotential x10 y10 ptemp
               ;fixPotential x11 y11 ptemp
               ;set xt x11 + 1
               ;fixPotential xt y11 ptemp
               
               if potential > threshold [ set pcolor 9.9 
                 ;set pcolor scale-color red ccapacity 1 10
                                          set ccapacity ccapacity + 1
                                          if ccapacity > capacity 
                                          [avalanche]
                                        ]
  ]
  
  my-update-plots
  tick

  ifelse ticks >= 50 + i * 10 and ticks <= 100 [createP 10 set i i + 1] [set i 1]
  ifelse ticks >= 101 + i * 10 and ticks <= 200 [createP 15 set i i + 1][set i 1]
  ifelse ticks >= 201 + i * 10 and ticks <= 300 [createP 25 set i i + 1]  [set i 1]
  ifelse ticks >= 301 + i * 10 and ticks <= 400 [createP 35 set i i + 1] [set i 1]
  if ticks >= 401 + i * 10 and ticks <= 500 [createP 65 set i i + 1]
  
  movePeople
                
 saveFile
 if cIndex >= 100 [stop]
end

to fixPotential [x y p]
  ask patch x y [
    ;if new-potential < p [set potential p]
    set potential p
    ]
end

to movePeople
  ask turtles 
    [ 
     while [[pcolor] of patch-here = 95 ] [lt random-float 360
      forward 1 ]
    lt random-float 180
      forward 3 
     ;getInradius x1 y1 100 green
     ;getInradius x2 y2 40 blue
     ;getInradius x3 y3 9 green 
     ;getInradius x4 y3 8 yellow
     ;getInradius x5 y3 8 gray
     ;getInradius x6 y6 5 lime
     ;getInradius x11 y11 4 violet      
     
     if any? neighbors with [pcolor = 9.9] or any? neighbors with [pcolor = 9]
          [
            set pcolor 9
            ;set pcolor scale-color gray ccapacity 1 50   ; whit this line we can or can not see the spiders
            set ccapacity ccapacity + 1
            ;show ccapacity
            if ccapacity > capacity 
               [avalanche]
             die
          ]
   ]
end

to getInradius [x y rad c]
 if (distancexy x y) < rad
   [ set color c 
     set heading towards patch x y forward 3]

   let r max-one-of patches in-radius 15 [potential]
   set heading towards r
   forward 2
         
end

to avalanche

  set ccapacity ccapacity - 4

   ask neighbors4 [ 
                    ;set pcolor red
                    ;set pcolor scale-color gray ccapacity 1 50
                    set ccapacity ccapacity + 1
                    if ccapacity > capacity
                     [avalanche]
                  ]
end

;;create migrates waves
to createP [n]
  ;let np int n
  create-turtles n
    [ 
      set flag 0
      set xtur random-xcor
      set ytur random-ycor
      ;let trlid who
      ask patch-at xtur ytur [if potential <= -100.00 [set flag 1]]
      ifelse flag = 0 [set color red set size 2.5
                      setxy xtur ytur]
                      [die]
    ]
    
end

to saveFile
    
    if ticks = 50 + j * 50 [
      ask turtles [ht]
      set j j + 1
      set cIndext cIndext + 1
      set fileName word "uk" cIndex
      set fileName word fileName "_"
      set fileName word fileName cIndext
      set fileName word fileName ".csv"
      export-world fileName
      set fileView word "uk" cIndex
      set fileView word fileView "_"
      set fileView word fileView cIndext
      set fileView word fileView ".png"
      export-view fileView
      ask turtles [st]
    ]  
    if ticks > 600 [  
                  ask turtles [die]
                  set cIndex cIndex + 1
                  set cIndext 0
                  set j 0
                ;  set fileName word "uk" cIndex
                 ; set fileName word fileName ".csv"
                  ;export-world fileName
                 ; set fileView word "uk" cIndex
                 ; set fileView word fileView ".png"
                 ; export-view fileView
                  ;print cIndex
                  reset-ticks clear-turtles clear-patches clear-drawing clear-all-plots clear-output
              ask patches [set pcolor 95
                set potential -1000]
                ;gis:set-drawing-color black
                ;gis:draw countries-dataset 1
               ask patches gis:intersecting countries-dataset
             [ set pcolor 67
            set potential one-of [1 -1]
            set capacity 5 
          set ccapacity 0
           ]               
             setHA
             setIR 
         ]
end

to my-update-plots
  set-current-plot "Cells above threshold"
  plot count patches with [potential > threshold]
end
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## VERSION

$Header: /home/cvs/netlogo/models/Curricular\040Models/Cities/Urban\040Suite\040-\040Structure\040from\040Randomness\0402.nlogo,v 1.5 2007-09-09 21:56:16 tisue Exp $

## WHAT IS IT?

This is another model that demonstrates the concept of "structure from randomness".  In particular, it is an implementation of the model described in the book "Cities and Complexity" by Michael Batty, on pages 45-47.  For analysis and discussion beyond that provided with this model, the reader is encouraged to refer to this text.

The basic idea here is showing how structured formations can easily from completely random initial data, through a simple process.

## HOW IT WORKS

Each grid cell is initialized to have an potential value of either 1 or -1, at random. 

Each tick of the model, the cell takes on a new potential value which is the average of the potential values from its Von Neumann neighborhood (that is, itself and its 4 neighbors) from the previous step, plus a random number which is either 1 or -1.

The potential values are not displayed directly in the graphical view.  Instead, a cell is shown as white in the view when it becomes activated, which occurs when its potential value exceeds the threshold specified by the THRESHOLD slider.  Once a cell has become activated it stays activated, even though the potential value of the cell may drop down below the threshold again.

## HOW TO USE IT

Press the SETUP button to initialize the grid squares.

Press the GO button to run the model.  Press the GO ONCE button to run the model just a single tick.  For a while nothing may change in the view -- this is because none of the cells have reached the threshold yet, to become activated.  Let the model run for some time, and then you will see cells start to light up.

The THRESHOLD slider controls the threshold which cell's potential value must reach in order to become activated.

The CELLS ABOVE THRESHOLD plot records (at each tick) the number of cells that are currently above the threshold.  Note that this is different than plotting the number of activated cells, which is a monotonically increasing function.

The POTENTIAL plot shows two different things.  The maximum potential value that any cell currently has is plotted in green.  The average potential of all the cells (times a factor of 10, so that it it can be seen better on the same graph) is plotted in blue.   
(These plots were designed to match the plots shown in Figure 1.11 of the Cities and Complexity Book.)

## THINGS TO NOTICE

The maximum potential shoots up quickly at first, but then slows.  However, it continues to slowly increase over time.  It is important to understand that the maximum potential that is being plotted is the largest potential found in any of the cells -- not the theoretically maximum potential, which increases linearly with the number of ticks, since it is possible (though very improbable) that all the cells could continually have 1 added to them, and never have -1.  

## THINGS TO TRY

Choose a medium threshold level (such as 4 or 5) and let the model run for about 1500 ticks.  The white patterns of activated cells that form have been shown definitively to be fractal in nature (by Viscek and Szalay, 1987).  Furthermore, it was shown that the fractal dimension (which gives an indication of the amount to which a fractal fills the space) varies with respect to the THRESHOLD value.  This makes sense, and you can see it visually be setting different THRESHOLD values and running the model for a fixed number of ticks.

## EXTENDING THE MODEL

Make it so that cells can be activated in either the positive or negative direction -- that is, if they go below -THRESHOLD, then they should become negatively activated.  Color positively activated cells blue, and negatively activated cells red.  If a cell gets activated one way, and then later is activated the other way, color that cell purple.

## NETLOGO FEATURES

When creating or adding white noise to the system, this model uses the expression "ONE-OF [1 -1]", to choose either 1 or -1 randomly.  ONE-OF is a primitive that works with either agentsets or lists.  It makes a random choice from the collection it is given.  An alternative choice would have been "(RANDOM 2) * 2 - 1", but the ONE-OF notation is easier to read.

## RELATED MODELS

This model is related to all of the other models in the "Urban Suite".  

In particular, it is related to "Urban Suite - Structure from Randomness 1", which is another model demonstrating the same concept.

It is also related to the DLA (diffusion-limited aggregation) model in the NetLogo models library, which grows fractal structures from random particle motion.

## CREDITS AND REFERENCES

This model is based on pages 45-47 of the book "Cities and Complexity" by Michael Batty.

Thanks to Seth Tisue and Forrest Sondahl for their work on this model.

The Urban Suite models were developed as part of the Procedural Modeling of Cities project, under the sponsorship of NSF ITR award 0326542, Electronic Arts & Maxis.  

Please see the project web site ( http://ccl.northwestern.edu/cities/ ) for more information.

To refer to this model in academic publications, please use:  Sondhal, F. and Wilensky, U. (2007).  NetLogo Urban Suite - Structure from Randomness 2 model.  http://ccl.northwestern.edu/netlogo/models/UrbanSuite-StructurefromRandomness2.  Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL.

In other publications, please use:  Copyright 2007 Uri Wilensky.  All rights reserved.  See http://ccl.northwestern.edu/netlogo/models/UrbanSuite-StructurefromRandomness2 for terms of use.
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