Plot Heat map using latitude longitude and other vector

Hi all, I want to plot a heatmap on a worldmap based on the latitude, longitude and power output of powerplants around the world, i.e, colour varies based on amount of power generated. I'm having issues using contourfm. Any suggestions on how to properly use contourfm or any other methods for heatmapping is much appreciated. I have the following code (attached with raw data files as well):

clear all;clc;
Location = uigetdir; 
D = dir([Location, '\*.xlsx']); 
filenames = {D(:).name}.'; 
data = cell(length(D),1); 
worldmap world
load coastlines
[latcells, loncells] = polysplit(coastlat, coastlon);
numel(latcells);
axesmui;
antarcreg=coastlat < -63; 
plotm(coastlat(~antarcreg),coastlon(~antarcreg)) 

whos;

for ii = length(D):-1:1 
      fullname = [Location filesep D(ii).name]; 
      [~,txt,~] = xlsread(fullname,'I:I'); 
      [num,~,~] = xlsread(fullname,'H:H'); 
      num(isnan(num))=1;
      if ismember(txt(1,:), 'point'); 
          txt(1,:)=''; 
      end 

        conv=char(txt);  
        conv=str2num(conv); 
        latitude=conv(:,1); 
        longitude=conv(:,2); 
        checklat=conv(:,1);
        if length(checklat)==length(num);
              x=linspace(min(latitude),max(latitude));
              y=linspace(min(longitude),max(longitude));
              [X,Y]=meshgrid(x,y);
              F=scatteredInterpolant(latitude,longitude,num); 
              contourfm(latitude,longitude,num,'Linecolor','none'); 
        end
  end

Answer 1

[KSSV]

Let x,y,z be your longitude, latitude and data vector. You can plot the colormap using:

dt = delaunayTriangulation(x,y) ;
tri = dt.ConnectivityList ; 
trisurf(tri,x,y,z) ;
shading interp ;
colorbar

[Paj]

Hi KSSV,

Thanks for your help. I keep getting this though:

Warning: Duplicate data points have been detected and removed. The Triangulation indices are defined with respect to the unique set of points in delaunayTriangulation.

Does the method u proposed work on the mapping toolbox.

Thx