# What is it called when we “zoom in” a data distribution?

Suppose we have a 2D distribution of shops in an area. For example, here is a heatmap density plot of (latitude, longitude) location of shops in a province:

Now suppose that we "zoom into" the distribution and consider only a tiny window $$w:([x_1,x_2],[y_1,y_2])$$ inside the whole range of x,y; so that we can have a better insight into how data points (shops) are arranged in the small local neighbourhoods.

The data distribution INSIDE each random window is obviously a subset of the entire data. For example, if we plot shops with latitude between $$[42, 42.3]$$ and longitude between $$[-76, -75.5]$$, we get this distribution: (visualized with scatterplot)

In the statistics community, what is the actual name of these "zoomed in" parts of a data distribution?

I want to report that the data distribution is skew in general, but quite uniform in "those small subsets". What are those distributions inside the windows called?

May I say, for example, "micro-distribution" or "partial distribution"?

• Notice that you can always edit a question, not need to delete and ask new question. In fact, we generally discourage deleting and re-asking, in vast majority of cases it will yield a moderator reaction. – Tim Jun 3 '20 at 10:17
• @Tim yep, thanks for the hint & sorry for the repost; but I realized that my initial post was so badly written that it drifted all comment to irrelevant subjects (such as the type of the charts, the scale of the features, etc). – Ali Jun 3 '20 at 12:01
• Detail view of ... – wolfies Jun 3 '20 at 15:10
• If your goal is to talk about some property, you can just say that the property applies "locally" or "in this region" – user20160 Jun 3 '20 at 18:15
• @user20160, I am indexing a multidimensional data which splits the data into a grid. I am interested in the data distribution inside each grid cell. Is "local distribution" a common term in statistics? – Ali Jun 4 '20 at 16:21

This would be the conditional distribution, conditional on $$x\in[x_1,x_2]$$ and $$y\in[y_1,y_2]$$.