Create clusters of patches without changing occurrence - netlogo

I am writing a Netlogo model which only involves patches. I have managed to create a landscape consisting of patches of 6 different colours (each representing a different vegetation in my project) according to probability. So red patches have a probability of 10% to occur on each patch, yellow 5%, brown 20% and so on.
An example of my code where this probability is set up:
let i random-float 1
ifelse i + random-float 0.1 <= 0.8 ;random 0.1 threshold for environmental noise
[ set pcolor green ]
[ ifelse i + random-float 0.1 <= 0.9
[ set pcolor yellow ]
[ set pcolor blue ] ]
However, this creates a random pattern for each colour. But I would like to create a clustered spatial pattern for one of them.Specifically, in my landscape, I want the proportion of brown patches to be 50%. But if I were to set this 50% probability for every patch, the brown patches will be randomly distributed. How do I get it to occupy 50% of my landscape, but appear in a clustered pattern?
I tried creating the clustered pattern using the Moore neighbourhood, but that obviously changes the proportion of brown patches.
I hope this is somewhat clear. Thanks for any help in advance.

You could seed based on your weights and then grow around the seeds. Here is a different approach: color all patches based on your weights, and then cluster the colors.
extensions [rnd] ;use the rnd extension
globals [threshold]
to setup
ca
set threshold 2
let _cw [[red 10] [yellow 20] [blue 70]] ;colors with weights
ask patches [set pcolor first rnd:weighted-one-of-list _cw [last ?]]
repeat 20 [cluster] ;adjust to taste
end
to cluster
ask patches [
if unhappy? [
swap-pcolor
]
]
end
to swap-pcolor
let _c pcolor
let _p one-of neighbors with [pcolor != [pcolor] of myself]
set pcolor [pcolor] of _p
ask _p [set pcolor _c]
end
to-report unhappy?
let _ct count neighbors with [pcolor = [pcolor] of myself]
report (_ct < threshold)
end

Related

Divide regions accordingly to physical features

I'm working on a smaller project and got stuck on an issue, I'm not really sure if it's possible to solve it in NetLogo but I want to give StackOverflow a go!
I got a model that divides the world into different parts and randomly add physical features (such as rivers). If a feature goes through the whole region, I want it to separate the region and make into two regions. As an example, in the picture below, I want to separate the purple region into two unique regions accordingly to the physical feature (black).
The code I used to generate the picture above, can be found below.
to setup
ca
;Setting world.
resize-world 0 19 0 19
;Creating regions.
let x 5
let y 5
let col 45
while [y <= max-pycor + 1][
while [x <= max-pxcor + 1 ][
ask patches with [pxcor < x and pxcor >= x - 5 and pycor < y and pycor >= y - 5][
set pcolor col
]
set x x + 5
set col col + 10
]
set x 5
set y y + 5
]
;Generating physical features.
ask n-of 5 patches[ sprout 1[
set pcolor black]
]
let i 0
while [ i < (max-pycor * 2 )][
ask turtles [
fd 1
set pcolor black
ifelse (random 20 <= 1)
[
rt one-of [-90 0 90]
forward 1
]
[
fd 1
set pcolor black
fd 1
set pcolor black
]
set pcolor black
set i i + 1]
]
ask turtles [die]
end
My strategy for handling this is to realize that all we really need to do is "flood" a patch out by color and tag all the found adjacent patches, then repeat for any un-tagged, non-black patches until they are all done.
NetLogo does not have a "flood" command to get all patches adjacent to a patch meeting a criteria, so we make a special reporter of our own to handle it, patches-adjacent. Then it's just easy to ask those patches-adjacent to set their region to the currently chosen region.
I don't love this code, it's a little finicky and would be prone to infinite loops if tweaked incorrectly, but it should work. I bet there is a cleaner way to do this that I'm not thinking of at the moment.
; add a variable to track the different regions
; the default value will be `0` for each patch when `clear-all` is called
patches-own [ region ]
to set-regions
let current-region 1
; only act on non-black patches that haven't yet been assigned a region
let untagged patches with [ region = 0 and pcolor != black ]
while [any? untagged] [
ask one-of untagged [
ask patches-adjacent [
set region current-region
]
]
; update the region and the untagged patches we have left to process
set current-region current-region + 1
set untagged patches with [ region = 0 and pcolor != black ]
]
; this is just to get a view of the regions to quickly see if our code worked, it can be removed
ask patches [ set plabel region ]
end
to-report patches-adjacent
report patches-adjacent-ex (patch-set self) pcolor
end
to-report patches-adjacent-ex [found pc]
let newly-found neighbors4 with [ (not member? self found) and pcolor = pc and region = 0 and pcolor != black ]
set found (patch-set found newly-found)
ask newly-found [
; use recursion to find the patches adjacent to each newly-found one
; relying on updating the `found` agentset as we go to avoid duplicates
; or looping forwarder
set found (patches-adjacent-ex found pc)
]
report found
end
I solved this by using the Patch Clusters model that can be found in the NetLogo model library.

set a demand and supply curve for the model tragedy of the commons in the case of an overfished pond

I am new at net logo and I want to write a model based on tragedy of the commons in the case of an overfished pond. The purpose is to find an equilibrium between fishers and fishes based on an economic model with demand and supply. If there are less fishers, more fishes will be in the pond, then after a certain time (ticks) the number of fishers increases and less fishes will be in the pond. Maybe set like a number of fishes per day that can be fished. Thus, the solution is to find a convenient number of fishers as the fishes can still reproduce. I want to have a box in the interface where I can type in a number and see what happens with the number of fishes.
I have no idea how to set this up. I hope to hear from you :)
I started with this code:
breed [fishers fisher]
breed [fishes fish]
to setup
clear-all
reset-ticks
ask patches [set pcolor blue ] ;; lake/pond in form of a rectangle in color
ask patches [ if pxcor > 8 [ set pcolor green ]]
ask patches [ if pycor > 8 [ set pcolor green ]]
ask patches [ if pycor < -8 [ set pcolor green ]]
ask patches [ if pxcor < -8 [ set pcolor green ]]
ask one-of patches with [ pcolor = blue ] [ sprout 20 [set shape "fish" set color pink set size 1.5 ]] ;; creates fishes
ask one-of patches with [ pcolor = green ] [ sprout 2 [set shape "person" set color black set size 3 ] ] ;; creates fishers
end
to go
tick
;;fishes
ask turtles with [ shape = "fish" and color = pink ]
[ right random 360 forward 1
if [pcolor] of patch-ahead 1 = green [ right 180 fd 1 ]]
;; fishers
ask turtles with [ shape = "person" and color = black]
[;right random 360 forward 1
if any? patches with [pcolor = blue]
[set heading towards one-of patches with [pcolor = blue] forward 1]
if [pcolor] of patch-ahead 1 = blue [ right 180 fd 2 ]]
ask turtles with [shape = "person" and color = black]
[if any? turtles with [shape = "fish" and color = pink] in-radius 2
[ask turtles with [shape = "fish" and color = pink] in-radius 2 [die]]]
end
Firstly, I suggest you look through existing models in the Netlogo library (Wolf-sheep-predation model may help). You roughly have the right idea in your current code, but you should look at other models to improve. You've already set your different breeds of turtles, but you should also set up their respective shapes under 'setup'. This would help you a great deal later - instead of calling for
ask turtles with [ shape = "fish"...]
you can simply
ask fishes [do sth...]
For that 'box at the interface', you can have a slider at the interface determining the number of fishers you want your run to start with. With another slider, you can set the fishing pressure in your simulated run (i.e. how many fish each fisher will catch) and I suppose you can also consider how this changes when population of fish decreases.
Finally, for a model like yours, you can observe the supply and demand trend by plotting the curves of no. of fishers over time and no. of fishes over time. Again, look at the wolf-sheep-predation model to have an idea of how to do this.
I can't give you more than this I'm afraid since I'm no pro myself but hope this helps a little. Hope someone else would be able to give you a clearer idea.

NetLogo: identification of valleys = rivers location in artificial landscape

I want to produce the artificial landscape, containing hills, slopes and valleys. So far, so good. Now, I want to place a rivers in the bottom of the valley. I thought that the easiest way will be ask turtle to move uphill/downhill by elevation as drops here: http://modelingcommons.org/browse/one_model/2352#model_tabs_browse_info
However, as my landscape is not real, my valleys are also not linears, but just the "depressions" in the terrain, and thus my river localisation is really weird looking?
Please, is there a way to create hills and valleys reflecting the real terrain in netlogo without using GIS extension? I've found great models of Erosion, Watershed and GIS gradient example, but how can I initially place my turtles to stay only in valleys?
EDIT
the GIS gradient example provide excellent problem solving of movement of all the cells over the space, and they aggregate in valleys. However, as I want to by movement of my turtle "create" the river bed on the bottom of the valley, how can I place it? maybe start at the lowest point and stop after several ticks to not to allow to get on the top of the hill? thank you !
globals [
low
high
range ]
patches-own [
altitude ]
to setup
clear-all
setup-hills
scale-patches
color-patches
end
to setup-hills
ask n-of 2 patches [
set pcolor magenta ]
ask patches [
let max_dist sqrt (world-width ^ world-width + world-height ^ world-height)
set altitude world-width - distance patch 10 10
set altitude world-width - distance min-one-of patches with [pcolor = magenta][distance myself]
]
crt 1 [ ; create a turtle, needed to identify the lowest slope
set color red
let bottom_valley min-one-of patches [altitude]
move-to bottom_valley
]
end
to scale-patches
set low [altitude] of min-one-of patches [altitude]
set high [altitude] of max-one-of patches [altitude]
set range high - low
ask patches [
set altitude altitude - low ; shift every patch down so lowest altitude is 0
set altitude altitude * 99.0 / range ; scale every patch so that the lowest is 0 and highest is 999
]
repeat 5 [
diffuse altitude 0.5 ]
end
to color-patches
ask patches [
set pcolor scale-color green altitude 0 100]
end
to create-river
ask turtles [
let p max-one-of neighbors in-radius 1 [altitude]
if [altitude] of p >= altitude [
face p
move-to p
set pcolor blue
]
]
end
You have the right general idea. I recommend checking out the "GIS Gradient" model on your landscape. You can find it in the Models Library under Code Examples/GIS. Then think how to filter patches that have a minimum number of water particles passing through it over time.
Identification of system of rivers on the landscape using GIS Gradient Example:
http://modelingcommons.org/browse/one_model/2352#model_tabs_browse_info
The whole process of identification of the river system on the complex landscape is composed by 3 subprocesses:
identify the highest points of the landscape
place here the river source (create-source)
identify patches for a downhill stream
from the highest river source, by decreasing elevetion of neighboring cells to the lowest elevation of the river valley
when turtle reaches the edge of the world, turtle dies (go-downhill)
remove top hill points (as the river does not read the summit of the hill)
the river does not start at the top of the hill, but at the highest point of the valley
the highest "river" patches from the river beds system are removed (remove-river-from-top-hill)
The number of sources depends of type of GIS data you have available. The same for the number of patches you wish to remove from the top of the hill.
;; ----------------------------------------------
;; create river
;; ----------------------------------------------
to create-source
; identify the 5 highest points of the landscape
repeat 5 [
; avoid the highest points to be close to each other
ask max-one-of patches with [ not any? turtles-here and not any? turtles in-radius 20 ] [p_elev] [
;ask patches to sporout turtles
sprout 1 [
set size 1
set color orange
]
]
]
end
to go-downhill
; stop if there is no more turtles
if not any? turtles with [color = orange]
[ stop ]
; ask turtles located on top of thehills to move downhill
ask turtles with [color = orange] [
; die when you reach the edge of the world
if ([pxcor] of patch-here = max-pxcor) or ([pycor] of patch-here = max-pycor)
or ([pxcor] of patch-here = min-pxcor) or ([pycor] of patch-here = min-pycor) [
die ]
move-to patch-here ; go to patch center
set pcolor blue ; identify the use of patch
set p min-one-of neighbors with [pcolor != blue ] [p_elev] ;; or neighbors4 with [pcolor != blue]patches in-radius 3
if p != nobody [
; move downhill if elevation of patch you are standing on is higher then one of the neighboring patches
ifelse [p_elev] of p <= p_elev
[
face p
move-to p
set pcolor blue ; identify the use of patch
]
[
;move-to min-one-of patches with [pcolor != blue] [distance myself]
move-to min-one-of patches in-radius 2 with [pcolor != blue] [p_elev]
set pcolor blue ; identify the use of patch
]
]
]
end
to remove-river-from-top-hill
; remove 5% of the blue (river) patches placed on the top of the hill
let total_blue count patches with [pcolor = blue]
repeat total_blue * 0.05 [
ask max-one-of patches with [pcolor = blue] [p_elev] [
set pcolor yellow ]
]
end
Complex river system identified:
(river bed = BLUE, removed top of the hill = YELLOW):

How to randomly remove block side in a grid?

Following on from How to control square size in a grid from square area?, I would like to randomly remove block side in a grid. Here my idea:
%% In a first time, I randomly select a white patch in the grid (figure below):
let random-patch one-of patches with [pcolor = white]
%% Then, I draw red patches to identify intersections between white roads (figure below):
ask patches with [ (pxcor mod (side + 1) = 0 ) and (pycor mod (side + 1) = 0 ) ] [set pcolor red]
%% Finally, I color in brown all white patches that are situated between two red patches and on the same side than the random patch. To identify these white patches, have I to calculate distance between the random patch and the nearest red patches and to color all white patches situated along these distances ?
Thanks in advance for your help.
An alternative way to think about your problem is in terms of finding clusters of white patches: you're picking a white patch at random, and you want to turn all the contiguous white patches to brown.
You can look at the "Patch Clusters Example" in the Code Examples section of NetLogo's model library to see one way to do this.
Here is how I would do it. Let's start by defining a grow-cluster reporter:
to-report grow-cluster [ current-cluster new-patch ]
let patches-to-add [
neighbors4 with [
pcolor = [ pcolor ] of myself and
not member? self current-cluster
]
] of new-patch
let new-cluster (patch-set current-cluster new-patch)
report ifelse-value any? patches-to-add
[ reduce grow-cluster fput new-cluster sort patches-to-add ]
[ new-cluster ]
end
The code may be hard to understand if you're not used to functional programming because it uses recursion within a call to reduce. Still, in a nutshell, it:
takes an existing patch cluster and a new patch to add to this cluster
looks for neighbors of that new patch that should also be added to the cluster, i.e., those that are the same color but not already part of the cluster
calls itself for these new patches to add so that their neighbors can be added to the cluster (and those neighbors' neighbors, etc.) until no new patches are found.
Once you have grow-cluster, you can use it to accomplish exactly what you want by seeding it with an empty cluster and the random patch that you selected:
to remove-random-side
let random-patch one-of patches with [pcolor = white]
let side grow-cluster no-patches random-patch
ask side [ set pcolor brown ]
end
Caveat: for this to work, world wrapping has to be disabled in your model settings.
Since you're making a uniform grid, you might consider just doing math on pxcor and pycor instead of taking the Patch Clusters Example approach. That approach is best suited to dealing with irregular shapes.
To set up your grid, you can just do:
ask patches [
set pcolor brown
let horizontal-street? pycor mod (side + 1) = 0
let vertical-street? pxcor mod (side + 1) = 0
if horizontal-street? or vertical-street?
[ set pcolor white ]
if horizontal-street? and vertical-street?
[ set pcolor red ]
]

To build patch clusters at large spatial scales

I used the code from How to create cluster patches that do not overlap between them to build patches as shown in the first figure below.
Here is the code :
to make-cluster
loop [
let cluster [patches in-radius (2 + random-float 2)] of one-of patches
if all? (patch-set [neighbors] of cluster) [pcolor = black] [
ask cluster [ set pcolor green ]
stop ] ]
clear-all repeat 20 [ make-cluster ]
When I use this code in a large spatial extent (i.e. 1000 x 1000 patches with patch size = 1 pixel), green patches are like circles (see the second figure below).
How can I have patches as shown in the first figure ?
Thank you very much for your help.
If your goal is to simply have heterogeneous regions (rather than specifically blocky, symmetric things), you might play around with some of the answers here: Creating a random shape (blob) of a given area in NetLogo
Frank's solution and my first solution will probably run pretty slow on that large of a world. I just added a solution that should scale to a world of your size. I've put it here too for convenience:
to make-blob [ area x y ]
let blob-maker nobody
crt 1 [ set blob-maker self setxy x y ]
let border patch-set [ patch-here ] of blob-maker
repeat area [
ask blob-maker [
ask min-one-of border [ distance myself ] [
set pcolor green
set border (patch-set border neighbors4) with [ pcolor = black ]
]
rt random 360
fd .8
]
]
ask blob-maker [ die ]
end
That said, if you like the blockiness, it's often the case that models with a large number of patches in a blocky formation can be reworked into models with a smaller number of patches that behave quite similarly. For example, one strategy is to scale down the size and movements of the turtles so that the world is still relatively large to them.