2.3-csr.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.

__includes [ "pp-utils.nls" ]

extensions [ palette ]

breed [ points point ]

globals [ smooth ]

patches-own [
  lambda
  point-dists
]

to setup
  clear-all
  clear-background
  reset-ticks
end

to go
  setup
  ;; turtles are point events
  create-points n [
    ;; events are randomly located
    ;; and do not interact with one another
    setxy random-xcor random-ycor
    set color black
    set shape "circle"
  ]
end

;; use smoothing of even count per patch as estimate
to calculate-intensity
  ifelse density-method = "quartic-kernel" [
    ask patches [
      set point-dists []
    ]
    let bw rescale bandwidth 0 1 0 world-width
    ask points [
      ask patches in-radius bw [
        set point-dists lput (distance myself) point-dists
      ]
    ]
    ;; normalising factor for a quartic kernel in 2D is 3 / (pi * bw^2)
    let k 3 / (pi * bw ^ 2)
    ask patches [
      set lambda sum map [x -> k * get-quartic bw x] point-dists
    ]
  ]
  [
    set smooth bandwidth * world-width
    calculate-point-intensity
  ]
end

to-report get-quartic [h r]
  if r > h [ report 0 ]
  let u r / h
  report (1 - u ^ 2) ^ 2
end
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GRAPHICS-WINDOW
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10
718
519
-1
-1
5.0
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1
1
0
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0
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0
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1
1
ticks
100.0

SLIDER
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n
n
1
1000
500.0
1
1
NIL
HORIZONTAL

BUTTON
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174
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generate pattern
go
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
1

BUTTON
49
229
159
262
plot intensity
calculate-intensity\nplot-surface [p -> [lambda] of p]
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
1

BUTTON
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269
161
302
toggle-points
ask turtles [set hidden? not hidden?]
NIL
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T
OBSERVER
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NIL
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1

SLIDER
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352
190
385
bandwidth
bandwidth
0.01
0.5
0.05
0.01
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HORIZONTAL

CHOOSER
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190
436
density-method
density-method
"smoothing" "quartic-kernel"
1

BUTTON
108
23
174
56
NIL
setup
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
1

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## WHAT IS IT?

This model is an implementation of complete spatial randomness (CSR) or the _independent random process_ for a spatial point pattern and is discussed in Chapter 2 of

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

You should consult that book for more information and details of the model.

## HOW TO CITE

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

+   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 © 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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airplane
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circle
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circle 2
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cow
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cylinder
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face happy
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flag
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flower
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house
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leaf
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line
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line half
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person
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Polygon -7500403 true true 105 90 60 150 75 180 135 105

plant
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Polygon -7500403 true true 135 255 90 210 45 195 75 255 135 285
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sheep
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square
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square 2
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star
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target
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tree
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triangle
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triangle 2
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truck
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wheel
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x
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NetLogo 6.4.0
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0
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