this post was submitted on 15 Aug 2024
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Simple normalization does amplify signals in low density areas. If a person in a tiny town of 100 reports a bigfoot sighting and another person in an area with 10,000 population also reports a sighting, then with simple normalization the map would show the area with 100 people having 100 times as many big foot sightings per capita as the area with the population of 10k. Someone casually reading the map would erroneously conclude that the tiny town is a bigfoot hotspot and would in general conclude bigfoot clearly prefers rural areas where they can hide in seclusion. When the reality is that the intense signals are artifacts of the sampling/processing methods and both areas have the same number of fursuit wearers.
That's the point. To make the low-population area more intense. Because relative to the population density, there were 100 times as many sightings. Or what am I missing.
I'm not saying normalization is a bad strategy, just that it, like any other processing technique comes with limitations and requires extra attention to avoid incorrect conclusions when interpreting the results.
If you were to attempt to trap and tag bigfoots in both areas, would you end up with 100 times as many angry people in a gorilla suit in the small town? No. You would end up with 1 in both areas. So while the tiny town does technically have 100x the density per capita, each region has only one observable suit wearer.
Assuming the distribution of gorilla suit wearers is uniform, you would expect approximately 99 tiny towns with no big foot sightings for every 1 town with a sighting. So if you were to sample random small towns, because the map says big foots live near small towns, you would actually see fewer hairy beasts than your peer who decided to sample areas with higher population density.
If we could have fractional observations, then all this would be a lot more straightforward, but the discrete nature of the subject matter makes the data imherently noisy. Interpreting data involving discrete events is a whole art and usually involves a lot of filtering.