Problem with Arithmetic mean/Theissen method with matlab

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Pai-Feng Teng
Pai-Feng Teng 2018-9-30
%Currently I am working on the assignment and I have difficulty on making the code work. The problem is that "Index exceeds matrix dimensions." at "indx= index(pos);"
%Here it my code
%The shape of a drainage basin can be approximate by a polygon whose
%vertices are located at the following coordinates: (5,5), (-5,5), (-5,-5),
%(0,-10), (5,-5)
%Step 1: Catchment Area Coordinates
X = input('X=');
Y = input('Y=');
plot(X,Y,'r','Linewidth',3)
%Step 2: set up gage data
x=[ 7 3 -2 -10 -3 -7 2 2 0]';
y=[ 4 4 5 1 -3 -7 -3 -10 0]';
gages = [x ...
y];
hold on
scatter(x,y,'b','Marker','*')
text([7; 3; -2; -10; -3; -7; 2; 2; 0],[4; 4; 5; 1; -3; -7; -3; -10; 0],['1';'2';'3';'4';'5';'6';'7';'8';'9'],...
'HorizontalAlignment','right',...
'FontSize',12,...
'FontName','Impact');
voronoi(x(:),y(:))
%3. Calculation of Grid Points
m = input('m = ');
n = input('n = ');
for a=1:m
for b=1:n
gx(a,b)=b;
gy(b,a)=b;
scatter(a,b,...
'r','Marker','.')
end
end
p = cat(2,gx,gy);
%4. grid points
grdpts = (m*n);
r = reshape(p,grdpts,2);
index = 1:grdpts;
for d1 = 1:9
for d2 = 1:grdpts
distn = pdist2(gages,r);
end
[~, pos] = min(distn);
indx= index(pos);
end
%5. Nearest Gage to each grid point
numb = zeros(grdpts,1);
for g=1:9
numb = find(indx==g);
wt(g,1)= length(numb);
end
numb;
wt;
%6. (a) the arithmetic mean method
aritm_avg_rainfall = mean(rainfall);
%6. (b) The theissen method
theisswts = wt./grdpts;rainfall = input('rainfall =');
Currently

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