I need this material, because some producers are having problem with other mites, and here in Brazil we don't have any material about monitoring and sampling methodology.
Do you know what kind of mites are being sampled? If they're foliar eriophyoid mites, then that might encourage experts on these mites to reply. Likewise, those of us who work on spider mites might be more likely to share knowledge if that's the problem group of mites.
Techniques of sampling are probably similar, and in a broad sense I answered a similar question late last year. See:
I hope that helps get you started. If they're eriophyoid mites, then how you count them could be different (e.g. washing leaves, then counting a sample in a gridded petri dish). If you link populations with damage, then damage scores can also be useful.
thanks for you help. The mites are the spider mites. I saw your other answer for this same question. But, do you have a PDF file explaining the same thing of the answer?
Sampling programs can be complex and you can get deep into the theory of optimising them. Search for "spider mite sampling" and you'll see all sorts of works, especially during the 1980s, as workers aimed to develop IPM programs in crops (cotton was a strong focus). Add "trees" to your search and you might get some more appropriate works. I don't know of any works on spider mites on mango, sorry, but perhaps somebody else does.
Most papers in the field are not freely accessible, but you might get them easily through a library. Many were published in well-known journals. One free example are the series on spider mites in almonds:
It probably isn't ideal, but it's a start. These studies often aim to do the minimum amount of work to estimate population size reasonably accurately, and this is coupled with work that determines at what population size that significant economic damage occurs. The answer to both questions (especially the latter) may not be easily transferred between crops or pests. But at least work on large trees replicates some of the problems you may be facing.
More recently, you'll see advances in remote sensing too, but that may be a whole area requiring a lot more initial investment.