Example of Fig 4.10

Sensitivity to Space Sampling

function example410
%
%  Effect of changing the space domain
%

flat = [0 90];
flon = [0 360];
lnorm = 'anom';
[zt,ind,fcos]=readz500(flat,flon,'season','jfm','scaling','yes');
[z,sdz]=anomaly(zt,lnorm);
[eof1,lam1,v,proj]=eoffast(z,ind,15,1);

flat = [0 90];
flon = [90 270];
lnorm = 'anom';
[zt,ind,fcos]=readz500(flat,flon,'season','jfm','scaling','yes');
[z,sdz]=anomaly(zt,lnorm);
[eof2,lam2,v,proj]=eoffast(z,ind,15,1);

flat = [0 90];
flon = [180 240];
lnorm = 'anom';
[zt,ind,fcos]=readz500(flat,flon,'season','jfm','scaling','yes');
[z,sdz]=anomaly(zt,lnorm);
[eof3,lam3,v,proj]=eoffast(z,ind,15,1);


% Make plot

titstr=cell(size(1:3));

titstr{1} = [' Global Domain  - EOF Mode 1  '    num2str(lam1(1)*100,'%-2.0f') '%'];
titstr{2} = [' Smaller Domain 90E-90W  - EOF Mode 1  '    num2str(lam2(1)*100,'%-2.0f') '%'];
titstr{3} = [' Smaller Domain 180E-120W -  EOF Mode 1  '    num2str(lam3(1)*100,'%-2.0f') '%'];

bigtit{1}= ' ' ;
bigtit{2}= '';
pict3(bigtit,eof1(:,1),eof2(:,1),eof3(:,1), ...
    [0 90],[0 360],[-0.3:0.02:0.3],titstr,'shading','off');

h=findobj('type','axes');

% Put some shading
axes(h(1))
patchesm([0 0 90 90],[0 180 180 0],[0.4 0.4 0.4]);
patchesm([0 0 90 90],[240 360 360 240],[0.4 0.4 0.4]);

axes(h(2))
patchesm([0 0 90 90],[0 90 90 0],[0.4 0.4 0.4]);
patchesm([0 0 90 90],[270 360 360 270],[0.4 0.4 0.4]);


print('-dpdf','-painters','-adobecset',['example410.pdf']);
lam1,lam2,lam3
Normalization anom
Expanded Field
Normalization anom
Expanded Field
Normalization anom
Expanded Field
Shading is  off 
Reshaping for T30 Gaussian grid
Contouring from a minimum -0.3000 
Contouring to a maximum 0.3000 
Contouring interval is  0.0200 
Contour values are: 
-0.3000 -0.2800 -0.2600 -0.2400 -0.2200 -0.2000 -0.1800 -0.1600 -0.1400 -0.1200 -0.1000 -0.0800 -0.0600 -0.0400 -0.0200 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000 0.1200 0.1400 0.1600 0.1800 0.2000 0.2200 0.2400 0.2600 0.2800 0.3000 
Maximum field value 0.1081 
Minimum field value -0.0435 
Shading is  off 
Reshaping for T30 Gaussian grid
Contouring from a minimum -0.3000 
Contouring to a maximum 0.3000 
Contouring interval is  0.0200 
Contour values are: 
-0.3000 -0.2800 -0.2600 -0.2400 -0.2200 -0.2000 -0.1800 -0.1600 -0.1400 -0.1200 -0.1000 -0.0800 -0.0600 -0.0400 -0.0200 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000 0.1200 0.1400 0.1600 0.1800 0.2000 0.2200 0.2400 0.2600 0.2800 0.3000 
Maximum field value 0.1321 
Minimum field value -0.0498 
Shading is  off 
Reshaping for T30 Gaussian grid
Contouring from a minimum -0.3000 
Contouring to a maximum 0.3000 
Contouring interval is  0.0200 
Contour values are: 
-0.3000 -0.2800 -0.2600 -0.2400 -0.2200 -0.2000 -0.1800 -0.1600 -0.1400 -0.1200 -0.1000 -0.0800 -0.0600 -0.0400 -0.0200 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000 0.1200 0.1400 0.1600 0.1800 0.2000 0.2200 0.2400 0.2600 0.2800 0.3000 
Maximum field value 0.1508 
Minimum field value -0.0564 

lam1 =

    0.3287
    0.1476
    0.0970
    0.0698
    0.0622
    0.0474
    0.0403
    0.0343
    0.0313
    0.0213
    0.0203
    0.0172
    0.0112
    0.0104
    0.0091
    0.0087
    0.0070
    0.0060
    0.0050
    0.0039
    0.0033
    0.0031
    0.0024
    0.0022
    0.0020
    0.0018
    0.0015
    0.0012
    0.0011
    0.0008
    0.0007
    0.0006
    0.0006
    0.0000


lam2 =

    0.4713
    0.1356
    0.0924
    0.0681
    0.0514
    0.0454
    0.0208
    0.0178
    0.0160
    0.0133
    0.0130
    0.0106
    0.0081
    0.0070
    0.0055
    0.0046
    0.0034
    0.0029
    0.0022
    0.0020
    0.0016
    0.0012
    0.0011
    0.0008
    0.0008
    0.0007
    0.0005
    0.0005
    0.0004
    0.0004
    0.0003
    0.0002
    0.0002
    0.0000


lam3 =

    0.6168
    0.1620
    0.0753
    0.0487
    0.0328
    0.0276
    0.0126
    0.0060
    0.0054
    0.0031
    0.0020
    0.0016
    0.0012
    0.0010
    0.0010
    0.0006
    0.0005
    0.0003
    0.0002
    0.0002
    0.0002
    0.0002
    0.0001
    0.0001
    0.0001
    0.0001
    0.0001
    0.0000
    0.0000
    0.0000
    0.0000
    0.0000
    0.0000
    0.0000