When the k-‐spa al entropy is fast and faster using a zoning system

When the k-‐spa al entropy is fast and faster using a zoning system. Didier G. Leibovici & Konstan nos Daras. University of No ngham, UK. University of Leeds ...
5MB taille 3 téléchargements 31 vues
When  the  k-­‐spa/al  entropy  is  fast  and     faster  using  a  zoning  system  

  Didier  G.  Leibovici  &  Konstan4nos  Daras       University  of  No9ngham,  UK   University  of  Leeds,  UK    

geosTapial  datA  anaLysIS  and  siMulA4oN   http://www.geotalisman.org/!

2013   1  

0.95

40 2000

3000

4000

35

1000

84

Time

0

0.2

1000

2000

3000

4000

Time GH

80 70

C= soc

0.025841578775817

 a  maxAminW  

40

50

60

H(C) H(Z) H(C,Z) H(C/Z) H(Z/C)

ShanZ

kZ

kZ.2km

kZ.4km

kZ.6km

FA

FY

FX FJ

FP

GG FT GD GJ FG FZ FE FR FN FM GE FC GF FF FB FL GA FH GB GK FD FQ FK FU GC FS FW

Zoning and collocation

Opti 88 55 81 70 71 48 79 60 121 82 78 65 36 94 95 53 74 63 85 62 77 91 75 72 77 37 80 50 39 77 85 108 111!  Ward FA FB FC FD FE FF FG FH FJ FK FL FM FN FP FQ FR FS FT FU FW FX FY FZ GA GB GC GD GE GF GG GH GJ GK! nbOAs 89 74 79 56 76 66 64 80 74 80 76 64 77 71 56 70 69 71 84 99 79 83 77 75 62 70 70 59 87 74 87 58 83!

2013   15  

minW Hk(C/Z)

0.80 0.78

maxAminW

86

0

0.4

90

100

GG FT GD GJ FG GE FR FN FZ FE FM FC GF FF FB FL GA FH GB GK FD FQ FK FU GC FS FW

30

100 x self-k-spatial Zoning Entropy OA / Z=opt

FP

0.76

0.6

FJ

0.74

FX

FA

0.72

GH FY

88

maxA Hk(Z)

90

0.82

0.8

45

92

soc kEnt 3000 OA/ZmaxAminW

33 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1

summary   •  k-­‐spa4al  entropy  versus  self  k-­‐spa4al  entropy    -­‐faster  algorithm,  point  data  ,  areal  data   •  probabilis4c  framework  useful  (decomposi4on  theorem)    -­‐mapping  the  within  entropies  with  a  Zoning  system    -­‐but  Zoning  underes4mate  the  co-­‐occurrence  counts  (MAUP)   •  Zoning  op4misa4on…        -­‐minAmaxW  or  maxAminW?    -­‐compactness        -­‐more  than  one  variable?           2013   16