5.7-edenSimple.nlogo

;; The MIT License (MIT)
;;
;; Copyright (c) 2011-24 David O'Sullivan and George Perry
;;
;; Permission is hereby granted, free of charge, to any person
;; obtaining a copy of this software and associated documentation
;; files (the "Software"), to deal in the Software without restriction,
;; including without limitation the rights to use, copy, modify, merge,
;; publish, distribute, sublicense, and/or sell copies of the Software,
;; and to  permit persons to whom the Software is furnished to do so,
;; subject to the following conditions:
;;
;; The above copyright notice and this permission notice shall be included
;; in all copies or substantial portions of the Software.
;;
;; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
;; OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
;; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
;; THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
;; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
;; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
;; DEALINGS IN THE SOFTWARE.
;;

extensions [ palette ]

globals [
  perimeter
  at-edge?
]

patches-own [
  t-colonised
  attempts
]

to setup
  clear-all
  ask patches [ set t-colonised -1 ]
  set perimeter patch-set nobody
  set at-edge? false
  reset-ticks
end


to go
  if at-edge? [
    colour-by-time
    stop
  ]
  ask get-next-occupied [
    set attempts attempts + 1
    if attempts > m [
      set pcolor white
      set t-colonised ticks
      update-perimeter
      set at-edge? pxcor = min-pxcor + 1 or pxcor = max-pxcor - 1 or
               pycor = min-pycor + 1 or pycor = max-pycor - 1
    ]
  ]
  tick
end


;; PATCH procedure
to update-perimeter
  set perimeter (patch-set perimeter neighbors4) with [t-colonised = -1]
end


to-report get-next-occupied
  ifelse ticks <= m
  [ report patch (min-pxcor + world-width / 2) (min-pycor + world-height / 2) ]
  [ report one-of perimeter ]
end


;; colour patches by the time they were colonised
to colour-by-time
  ask patches with [t-colonised >= 0] [
    set pcolor palette:scale-gradient [[244 109 67] [255 255 191] [116 173 209]] t-colonised 0 ticks
  ]
end

;; highlight the perimeter cells only
to colour-edge
  ask patches [set pcolor black]
  ask perimeter [set pcolor yellow]
end
@#$#@#$#@
GRAPHICS-WINDOW
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ticks
500.0

BUTTON
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setup
setup
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T
OBSERVER
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BUTTON
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go
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OBSERVER
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PLOT
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Perimeter length
Time
Length
0.0
10.0
0.0
10.0
true
false
"" ""
PENS
"default" 1.0 0 -16777216 true "" "plotxy ticks count perimeter"

BUTTON
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colour-by-time
colour-by-time
NIL
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T
OBSERVER
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BUTTON
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colour-edge
colour-edge
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OBSERVER
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1

SLIDER
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m
m
0
10
2.0
1
1
NIL
HORIZONTAL

TEXTBOX
22
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194
286
If m = 0 then there is no 'noise-reduction' and the model is as per Eden (1961)
12
0.0
1

@#$#@#$#@
## WHAT IS IT?

This model simulates the class Eden growth process:

+   Eden M 1961 A two-dimensional growth process, _4th Berkeley Symposium on Mathematical Statistics and Probability_, pp. 223–239, University of California Press, Berkeley, CA.

as discussed in Chapter 5 of

+   O'Sullivan D and Perry GLW 2013 _Spatial Simulation: Exploring Pattern and Process_. Wiley, Chichester, England.

A noise-reduced variant, as discussed in

+   Gouyet J-F 1996 Physics and Fractal Structures. Masson; Springer, Paris; New York.

is also supported.

An alternative version of this model that does not require the R-netlogo extension is also available.

## THINGS TO NOTICE

This models uses `patch-set` called `perimeter` to manage the set of patches adjacent to the advancing invasion/occupation/infection. This avoids repeated `ask patches with [any? neighbors4 with [t-colonised > -1] and t-colonised = -1]` calls which would run slowly.

To highlight similarities among the various Eden processes, the code has been written similarly in each case such that the major change among them is in one of two procedures, either `get-next-occupied` or `update-perimeter`. Note that the latter procedure is a patch procedure that can only be run by a patch, since it invokes the `neighbors4` reporter.

## THINGS TO TRY

Most of the obvious things you might try already have been, and appear in the next several models, as different variations on the Eden process theme!

## HOW TO CITE

If you mention this model in a publication, please include these citations for the model itself and for NetLogo

+   Eden M 1961 A two-dimensional growth process, _4th Berkeley Symposium on Mathematical Statistics and Probability_, pp. 223–239, University of California Press, Berkeley, CA.
+   O'Sullivan D and Perry GLW 2013 _Spatial Simulation: Exploring Pattern and Process_. Wiley, Chichester, England.
+   Wilensky U 1999 NetLogo. http://ccl.northwestern.edu/netlogo/. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL.

## COPYRIGHT AND LICENSE

The MIT License (MIT)

Copyright &copy; 2011-24 David O'Sullivan and George Perry

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to  permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
@#$#@#$#@
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@#$#@#$#@
NetLogo 6.4.0
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