[R] [OFF] The "best" tool for a space-temporal analyses?

[Ronaldo Reis-Jr.]

Hi,

I try to make an analyses to discover what is the time that an area begin to 
have spacial autocorrelation. And after, what is the number of individuals 
responsible for this autocorrelation.

The main idea is to discover if exist a contamination of a quadrat from others 
quadrats and how is the population needed to make this contamination.

This is very common to use automata to simulate this situation. But I try to 
make a more statistical approach. I'm studing about, but I dont know the tool 
for testing examples.

I make an example just for tests:

Geodata <- data.frame(X=rep(rep(c(1:10),
(rep(10,10))),5),Y=rep(c(1:10),50),Abund=c(1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1, 2, 0, 0, 
2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, 0, 0, 
0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 
0, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 3, 0, 0, 3, 0, 0, 3, 
0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 10, 0, 0, 3, 0, 0, 0, 0, 3, 
3, 4, 2, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 
0, 0, 0, 4, 0, 2, 1, 0, 0, 3, 0, 0, 0, 2, 0, 1, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 
0, 0, 4, 0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 10, 15, 0, 0, 4, 0, 0, 0, 0, 8, 11, 9, 0, 
0, 0, 0, 0, 0, 0, 1, 5, 3, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 
5, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 3, 10, 15, 20, 0, 0, 0, 0, 0, 0, 4, 13, 16, 13, 0, 0, 0, 
0, 0, 0, 5, 8, 8, 10, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0),Time=rep(c(1:5),rep(100,5)))

X and Y are coordinates, Abund is the number of individuals and Time is the 
date of observation. In this example the population grows from an vertice, 
and after 10 individuals it contaminates your neighbors. I need ideas about 
the best approach and R's tools for this problem.

I'm studing this question in these books:

W.N. Venables, B.D. Ripley. 2003.  Modern Applied Statistics with S. Springer; 
4 edition (September 2, 2003). 512 pages.

Crawley, M. J. 2002. Statistical Computing: An Introduction to Data Analysis 
using S-Plus. John Wiley & Sons; 1st edition (May 15, 2002). 772 pages.

Diggle, Peter J. 2003. Statistical Analysis of Spatial Point Patterns (2nd 
ed.), Arnold, London.

Ripley, B.D. Spatial Statistics

Spatial Ecology

Thanks for all

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|   ( õ   õ )  [Prof. Ronaldo Reis Júnior          ]
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|>   // | \\   [***********************************]
|   ( õ   õ )  [Prof. Ronaldo Reis Júnior          ]
|>      V      [UNIMONTES/Depto. Biologia Geral    ]
|    /     \   [36570-000 Viçosa - MG              ]
|>  /(.''`.)\  [Fone: 31-3899-4007                 ]
|  /(: :'  :)\ [chrysopa em insecta.ufv.br            ]
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