How and why have the patterns changed from von Thünen's time to Bednarz?

to answer your question:

f(x)= a^x.  if x=0, f(x)=1  if x=1, f(x)=a  if x=1, f(x)=a^a

answer: if though all maps are biased we study them to tell we have to go and use them to tell the direction we have to go but if you don't want to use a compass to find the way to go then the only option is to use the standard maps made by the european's  

explanation: