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Construct additive relationship matrix
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1 changed files with 48 additions and 2 deletions
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@ -26,11 +26,15 @@ data(:,2) = num2cell(datenum(data(:,2)));
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% Sort the array by date
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data = sortrows(data,2);
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% Coerce all id fields to string format
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strings = [1 3 4];
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data(:,strings) = cellfun(@num2str, data(:,strings), 'UniformOutput', false);
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% Create a lookup lambda function to find the animal represented by a
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% certain id
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animalrow = @(id) find(strcmp(data(:,1), id));
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ids = [data{:,1}];
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numanimals = length(ids);
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numanimals = length(data(:,1));
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% Store column numbers that need to be deleted
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% Column 6 contains an intermediate Excel calculation and always needs to
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@ -117,4 +121,46 @@ for i = 1:length(normal)
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end
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% Create an empty matrix for the additive relationship matrix
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A = sparse(numanimals, numanimals);
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A = sparse(numanimals, numanimals);
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% Create lambdas to find sire and dam of each animal
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dam = @(id) [data{animalrow(num2str(id)), 3}];
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sire = @(id) [data{animalrow(num2str(id)), 4}];
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% Create the additive relationship matrix by the FORTRAN method presented
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% by Henderson
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for i = 1:numanimals
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if strcmp(sire(i), 'NaN') && strcmp(dam(i), 'NaN')
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for j = 1:(i-1)
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A(j,i) = 0;
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end
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A(i,i) = 1;
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continue
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end
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if strcmp(sire(i), 'NaN') && not(strcmp(dam(i), 'NaN'))
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for j = 1:(i-1)
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A(j,i) = A(j,str2double(dam(i)));
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A(i,j) = A(j,str2double(dam(i)));
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end
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A(i,i) = 1;
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continue
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end
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if strcmp(dam(i), 'NaN') && not(strcmp(sire(i), 'NaN'))
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for j=1:(i-1)
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A(j,i) = A(j,str2double(sire(i)));
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A(i,j) = A(j,str2double(sire(i)));
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end
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A(i,i) = 1;
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continue
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end
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for j=1:(i-1)
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A(j,i) = 0.5.*(A(j,str2double(sire(i))) + A(j,str2double(dam(i))));
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A(i,j) = 0.5.*(A(j,str2double(sire(i))) + A(j,str2double(dam(i))));
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end
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A(i,i) = 1 + 0.5.*A(str2double(sire(i)), str2double(dam(i)));
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continue
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end
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