Writing a function for the h-index

I currently have a 365x11 double filled with integer values (ranging from roughly 100-0) that have been sorted in descending order in each column. The rows represent the values for percentage soil moisture each day for a year, and the columns represent this data for 11 consecutive years. I am trying to obtain a value for an h-index style metric for each column, this is obtained by finding the maximum value where f(i) >= i but i can't seem to quite work it out. Any help would be greatly appreciated, thank you in advance!

[dpb]

What is f(i)?

Also seems peculiar to sort on the value -- the correlation with date is then destroyed entirely which would seem to make the value pretty-much meaningless.

Perhaps a working definition of an "h-index style metric" would help...and again, as always attaching the data file as a .mat file would give folks a chance to do something with data.

Answer 1

[the cyclist]

My understanding of h-index comes from publishing, for example this definition.

If M is your data matrix, already sorted, then I believe this will do it:

hIndex = sum(M >= (1:size(M,1))');

[Joe Wheeler]

thank you so much, this worked wonders!