this doesn’t mean 73% of populations are in decline; in fact, around half of the studied populations were in decline, while half were either increasing or stable.
Maybe I should ask why the LPI report uses such a weird number instead?
There might be many herds of each species, all scattered in different places. The report counts all the animals in each of these herds over time, and looks at how those change. Consider some rhino's with two herds that are far apart. One of them is a giant herd, with 10000 rhinos, while the other is tiny with just 50. If the giant herd mostly dies out, and drops to 1000, while the tiny herd gets 5 times bigger to 250, then the average percent change is
(-90% + 500%)/2 = +205%, even though almost all the rhinos died.
Except this is wrong; they actually take the geometric average, which I think would be
sqrt( 0.1 * 5) = 0.25, a 75% decline?
Now, swap which populations do well. the 10000 rhinos become 50000 strong, and the 50 rhinos shrink to just a family or two of 10. The relative percent changes are the same; 500% for one, 10% for the other, so we would still report a 75% decline.
My own attempt, but I'm confused.
There might be many herds of each species, all scattered in different places. The report counts all the animals in each of these herds over time, and looks at how those change. Consider some rhino's with two herds that are far apart. One of them is a giant herd, with 10000 rhinos, while the other is tiny with just 50. If the giant herd mostly dies out, and drops to 1000, while the tiny herd gets 5 times bigger to 250, then the average percent change is (-90% + 500%)/2 = +205%, even though almost all the rhinos died.
Except this is wrong; they actually take the geometric average, which I think would be sqrt( 0.1 * 5) = 0.25, a 75% decline?
Now, swap which populations do well. the 10000 rhinos become 50000 strong, and the 50 rhinos shrink to just a family or two of 10. The relative percent changes are the same; 500% for one, 10% for the other, so we would still report a 75% decline.