Species evenness refers to how close in numbers each species in an environment is. Mathematically it is defined as a diversity index, a measure of biodiversity which quantifies how equal the community is numerically. So if there are 40 foxes, and 1000 dogs, the community is not very even. But if there are 40 foxes and 42 dogs, the community is quite even. The evenness of a community can be represented by Pielou's evenness index:
Where
J' is constrained between 0 and 1. the less variation in communities between the species (and the presence of a dominant specie), the lower J' is. And vice versa.
Other indices have been proposed by authors where
S is the total number of species.