This may not be an answer to your question, but the Density Analysis plugin
(https://plugins.qgis.org/plugins/densityanalysis/) will create a uniform
set of polygons over an area of interest with a NUMPOINTS attribute of the
number of points are contained within the polygon. The NUMPOINTS value can
be weighted using some other attribute. It will automatically style the
density map as well from a given color ramp.

Calvin

On Wed, Jul 26, 2023 at 8:06 PM Shinoto, PD Dr. Maria via QGIS-User <
qgis-user@lists.osgeo.org> wrote:

> Hi,
>
> I have a similar research problem, and the dots seem to be a wonderful
> solution.
>
> So, this email does not give any assistance re the original question, just
> an answer to the question below:
>
> Am 2023/07/27 um 03:45 schrieb chris hermansen via QGIS-User <
> qgis-user@lists.osgeo.org>:
>
> Here's (apologies for the closed source link) an example of the type of
>> map/symbology I'm trying to describe.
>> https://www.arcgis.com/apps/mapviewer/index.html?webmap=30d2e10d4d694b3eb4dc4d2e58dbb5a5
>>
>> Thanks for any suggestions!
>>
>
> What about just shading the polygons using a gray scale?
>
> Given that your polygons should generate a uniform density of dots within
> the area they bound, I don't see value in generating the dots for symbology.
>
>
> The polygon area may vary, as it does in my research (distribution of
> burials in administrative areas). Therefore, a small area always looks
> underrepresented as compared to a larger area, and vice versa. I have large
> administrative areas with low densitiy, but they look well populated even
> with a very light shade of grey.
>
> So I would like to try to find a solution to Chris' problem since the
> representation with dots is closer to reality than colouring areas. I will
> report when I found a solution for my use case -- though this may be
> autumn...
>
> Maria
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