---| Tiger Bush |---------------

Daniel Kinpara
September 2015

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-------------------| The Whole Idea |-------------------

What is Tiger Bush?

  • Vegetation formation pattern observed in Niger, at first.

Why to study it?

  • Because people wanted to know if that was a natural occurence.

Why the present app?

  • To show simulation as a way to find an explanation.

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-------------| The Convolution Matrix |------------

  • The effect of sinergy and competition among plants possible through convolution operation.
  • In R, there's the statement convolve().
  • Convolve applies the matrix of effects (kernel) over the original forest.

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--------------------| The effect |----------------------

  • Let's Gx be the forest with trees in different stages
  • And Gy the matrix of sinergy (+) and competition (-)
  • It's possible to state that the tree population in the area is stabilized (zero effect)
Gx <- c(-1, -2, -1, 0, 0, 0, 1, 2, 1)
Gy <- c(1,  0, -1, 2, 0, -2, 1, 0, -1)
effect <- convolve(Gx, Gy, type = "filter")
round(effect)

[1] 0

---------------------------| Thank you!