Does ncwrite work for multi-dimensional matrix?

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I was trying to write a 3D matrix into the .nc file that I created with nccreate. The information dumped by ncdisp function indicated the file is properly created.
Here is the code I used to create and write the file.
nccreate('ERA5_2015_EVAm.nc','longitude','Dimensions',{'longitude',360},'Datatype','single','Format','64bit');
ncwriteatt('ERA5_2015_EVAm.nc','/','Conventions','CF-1.6');
ncwriteatt('ERA5_2015_EVAm.nc','longitude','units','degrees');
ncwriteatt('ERA5_2015_EVAm.nc','longitude','long_name','longitude');
nccreate('ERA5_2015_EVAm.nc','latitude','Dimensions',{'latitude',180},'Datatype','single');
ncwriteatt('ERA5_2015_EVAm.nc','latitude','units','degrees');
ncwriteatt('ERA5_2015_EVAm.nc','latitude','long_name','latitude');
nccreate('ERA5_2015_EVAm.nc','time','Dimensions',{'time',8760},'Datatype','int32');
ncwriteatt('ERA5_2015_EVAm.nc','time','units','hour since 1900-01-01 00:00:0.0');
ncwriteatt('ERA5_2015_EVAm.nc','time','long_name','time');
ncwriteatt('ERA5_2015_EVAm.nc','time','calendar','gregorian');
nccreate('ERA5_2015_EVAm.nc','e','Dimensions',{'longitude',360,'latitude',180,'time',8760},'Datatype','int16');
ncwriteatt('ERA5_2015_EVAm.nc','e','units','m of water equivalent');
ncwriteatt('ERA5_2015_EVAm.nc','e','long_name','Evaporation');
ncwriteatt('ERA5_2015_EVAm.nc','e','standard_name','lwe_thickness_of_water_evaporation_amount');
time = ncread('ERA5_2015_EVA.nc','time');
longitude = double(ncread('ERA5_2015_EVA.nc','longitude'));
lon(1:180,1) = longitude(181:360)-360;
lon(181:360,1) = longitude(1:180);
lon(361,1) = 180;
lat = double(ncread('ERA5_2015_EVA.nc','latitude'));
e = double(ncread('ERA5_2015_EVA.nc','e'));
eva(1:180,:,:) = e(181:360,:,:);eva(181:360,:,:) = e(1:180,:,:);eva(361,:,:) = e(181,:,:);
clear e;
[x0,y0] = meshgrid(lon,lat);
[x,y] = meshgrid(-179.5:179.5,-89.5:89.5);
for i = 1:8760
e(1:360,1:180,i) = interp2(x0,y0,eva(:,:,i)',x,y,'nearest')';
end
clear eva;
ncwrite('ERA5_2015_EVAm.nc','longitude',-179.5:179.5);
ncwrite('ERA5_2015_EVAm.nc','latitude',-89.5:89.5);
for Ilon = 1:360
for Ilat = 1:180
ncwrite('ERA5_2015_EVAm.nc','e',e(Ilon,Ilat,:),[Ilon Ilat 1]);
end
end
ncwrite('ERA5_2015_EVAm.nc','time',time);
The longitude, latitude and time has been properly input into the file while the 'e' is not. The 'e' I read from the .nc file after writing is zero at all grids as indicated below,
e = double(ncread('ERA5_2015_EVAm.nc','e'));
figure;pcolor(e(:,:,1));shading interp;
while the actual distribution of 'e' should be like this,
figure;pcolor(e(:,:,1));shading interp;
I am sure I did something stupidly wrong, hoping for suggestion from the community!
Many thanks!
Shenjie

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