The idea that diversity is a combination of species richness and the so-called "evenness" of count distributions is a bedrock concept in ecology. Researchers often compute stand-alone evenness indices. They also examine Hill numbers related to Shannon's H and Simpson's D because these metrics balance richness and "evenness" to various degrees. But evenness is an operationally problematic abstraction, not a thing out in the world. Evenness indices and Hill numbers in empirical data are overly sensitive to the abundance of dominant species, poorly replicable within communities, highly variable among similar communities, and a weak indicator of latitudinal biodiversity trends. They are inconsistently related to the parameters of key models that might underlie count distributions, and they vary highly in simulation even when these model parameters do not vary. Ecologists would benefit by instead determining which real distributions fit which theoretical models and using estimated parameters to understand community structure and assembly.

The gzipped Ecological Register data file (Ecological_Register_data.txt.gz) is a full set of published species inventories of trees and terrestrial animals downloaded from the Ecological Register website on 23 October 2022. The additional files include metadata pertaining to the references used to document the inventories (Ecological_Register_references.txt.gz) and to the species inventories themselves (Ecological_Register_samples.txt.gz) .The gzipped and tarred richness R library (richness.tar.gz) was used to prepare the data and analyses in a preprint of an earlier paper called "Three models of ecological community assembly". The blank cells in the .txt files represent cases where no data were entered into the relevant fields, and will be interpreted as NAs when uploaded by an R script. There are no hidden values.

The R programming environment is required to open the richness library and the scripts.