Find mean value of grid cells found within a coarser grid cell

Hello,

I have two grid, one that is 121x97 (lat_1 & lon_1 in the attached data) and the other is 6x7 (coarser grid, lat_2 & lon_2 in the attached data). I have attached the longitudes and latitudes of the grid cells here. I am trying to find a method (fairly uncomplicated) to find exactly which grid cells of the finer grid are found in each of the coarser grids. I would then like to find their means so that the finer grid now becomes a 6x7 matrix of means from the finer grid.

I am not sure how to use the lat and lon values to find the means. For instance, if one of the coarse grid cells overlaps over 30 finer grid cells, I would like to get the mean of those 30 grid cells.

Hope this makes sense.

Answer 1

[Image Analyst]

Do you have a digital image, and can you somehow map lats and lons to actual rows and columns in the digital image? If you have that, then you can simply use blockproc.

[mashtine]

Hey,

Thanks for the prompt reply. I do not think I have this no. That would add another issue to the problem for me unfortunately.

[Image Analyst]

Well what do you have? You said you attached a file but then forgot to.

[mashtine]

Ah! No wonder your confusion. Sorry about that. I have now attached the data.

[Image Analyst]

    lat_1: [97x1 double]
    lon_1: [121x1 double]
    lat_2: [7x1 double]
    lon_2: [6x1 double]

These are all different sizes. How are you plotting or visualizing these? Does it require the mapping toolbox (which I don't have)?

Answer 2

[Chad Greene]

I think this does what you want:

% Load sample data and create a sample Z1: 
load sample_data
Z1 = round(100*(cosd((1:length(lat_1))'))*cosd(1:length(lon_1))); 

% Get rows and columns: 
r = interp1(lat_2,1:numel(lat_2),lat_1,'nearest','extrap');
c = interp1(lon_2,1:numel(lon_2),lon_1,'nearest','extrap');
[cg,rg] = meshgrid(c,r); 

% Create a downsampled version of Z1 with accumarray: 
Z1ds = accumarray([rg(:) cg(:)],Z1(:),[length(lat_2) length(lon_2)],@mean,NaN); 

% Plot Z1 and downsampled Z1: 
figure
subplot(1,2,1) 
imagesc(lon_1,lat_1,Z1) 
axis xy 

subplot(1,2,2) 
imagesc(lon_2,lat_2,Z1ds) 
axis xy