---tree.nlogo

NETLOGO

turtles-own [goal]
globals [ps]

to setup
ca
crt 1
ask turtles [set ycor (screen-edge-y * -1 + 2)]
ask turtles [set heading (0) 
             pendown 
             set pen-size 12
             set goal random(screen-edge-x * 2 )- screen-edge-x]
end

to step
repeat Branching_Frequency [fd Growth_Rate
                            setDirection]
set pen-size  (pen-size - 3)
set ps  pen-size
ask patch-here [branch]
if ((random 100) < PercentStop) [die]
end

to grow
repeat Grow_Until [ask turtles [step]]
end

to setDirection
;; set turtle direction
set heading (
    (random Range_Of_Random_Direction)- Range_Of_Random_Direction / 2 + 
    towards-nowrap patch goal screen-edge-y)
end

to branch
sprout 1 [pendown
          set pen-size ps
          set goal random(screen-edge-x * 2 )- screen-edge-x]
end
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GRAPHICS-WINDOW
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CC-WINDOW
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Command Center
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BUTTON
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Grow
grow
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OBSERVER
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SLIDER
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Growth_Rate
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NIL

BUTTON
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Setup
setup
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OBSERVER
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SLIDER
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Range_Of_Random_Direction
Range_Of_Random_Direction
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SLIDER
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Grow_Until
Grow_Until
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SLIDER
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SLIDER
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PercentStop
PercentStop
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NIL

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WHAT IS IT?
-----------
In an attempt to learn a bit about how Netlogo works, I decided to try to model the growth of a tree.


HOW IT WORKS
------------
The model begins with a single agent at the bottom of the screen, which moves upwards (grows toward the sun), branches (creates a second agent), and possibly dies on each step of growth.


HOW TO USE IT
-------------
There are several controls to play with.

Grow_Until determines how many cycles (including branching and death) the program will complete when you click on the Grow button.

Growth_Rate determines how far each branch will grow during one step.

Range_Of_Random_Direction is the range within which each branch will randomly aim.  Each branch is created with its own randomly-selected goal located on the X axis along the top of the screen.  Each step, after growing, a branch will re-determine its direction for growing during the next step.  The direction will be towards the goal, but fall within a range of the size specified by Range_Of_Random_Direction.

Branching_Frequency determines how many growths will occur on a branch before another branches off from it.

PercentStop is the likelihood that any particular branch will cease to grow during each cycle.


THINGS TO NOTICE
----------------
Notice that when a new branch is created, it and the branch it came from are each slightly smaller in width.

WARNING: Since branches multiply exponentially, it's best to clear the screen and start over with the Setup button after creating a tree.  This is why the Grow_Until button only goes up to 10 - your computer may lock up trying to complete more cycles.


THINGS TO TRY
-------------
Try setting the Growth_Rate very low and the Branching_Frequency to 1.  Notice that sometimes the tree grows down and out the top of the screen.  The primitive I used in the code was towards-nowrap, which returns the direction of the goal patch without accounting for the screen wrapping (which can be the shortest path).  Yet in some extreme examples, the tree still grows roots.  I haven't yet figured out why - maybe you can.


EXTENDING THE MODEL
-------------------
I'd be interested in knowing if anyone adds anything interesting.

I considered starting the tree in the center of the screen and starting with 2 agents doing the exact same thing, except that one will aim down for roots at the same time that one aims up for branches.  It might be interesting to see what kind of symmetry occurs.  I once heard that a tree's roots spread out as far as its branches.  Perhaps the same would happen with our virtual tree.


CREDITS AND REFERENCES
----------------------
Kathleen Maffei
[e-mail]

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NetLogo 3.0.2
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