Simulation of Uniform Distribution on Surfaces. Giuseppe Melfi Université de Neuchâtel Espace de l’Europe, 4 2002 Neuchâtel. Introduction. Random distributions are quite usual in nature. In particular: Environmental sciences Geology Botanics Meteorology are concerned .
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Université de Neuchâtel
Espace de l’Europe, 4
Random distributions are quite usual in nature. In particular:
Distribution of trees in a typical cultivated field.
Distribution of trees in a typical intensive production. For the same surface and the same minimal distance, there are 15% more trees.
Distribution of trees in a plane forest. Uniform random distribution on a plane.
D compact, f supposed to be differentiable. This function describes the surface
can be partly inbedded in D.
Again, 1000 points have been used.
Density can depend on
These factors correspond to a positive function z(x,y) describing their punctual influence.
It is the surface considered in first example
This corresponds to give more probability to points for which f(x,y)=3
In this case we give a probability of Gaussian type, depending on value of f(x,y)