Diversity.Hill

Hill numbers are found in the Diversity.Hill submodule.

Usage

Accessing the main functionality in the package is simple:

julia> using Diversity.Hill
julia> community = [10, 20, 20, 0, 3]5-element Vector{Int64}:
 10
 20
 20
  0
  3
julia> community = community ./ sum(community)5-element Vector{Float64}:
 0.18867924528301888
 0.37735849056603776
 0.37735849056603776
 0.0
 0.05660377358490566
julia> hillnumber(community, [0, 1, 2])3×7 DataFrame
 Row │ measure     q      type_level  type_name  partition_level  partition_na ⋯
     │ String      Int64  String      String     String           String       ⋯
─────┼──────────────────────────────────────────────────────────────────────────
   1 │ HillNumber      0  types                  subcommunity     1            ⋯
   2 │ HillNumber      1  types                  subcommunity     1
   3 │ HillNumber      2  types                  subcommunity     1
                                                               2 columns omitted

A Hill number of order q is the diversity of a community in which every type is completely distinct from every other. Order 0 counts the types present — here 4, since one of the five has no individuals — and higher orders weight the commoner types more heavily, so the diversity falls as q rises.

Diversity.Hill — Module

Diversity.Hill submodule

Hill numbers are found in the Diversity.Hill package.

source

Diversity.Hill.hillnumber — Method

hillnumber(proportions, qs)

Calculate the Hill number (or naive diversity) of order q of population(s) with given relative proportions

Arguments:

proportions: relative proportions of different individuals / species in population (vector, or matrix where columns are individual populations)
qs: single number or vector of orders of diversity measurement

Returns:

Diversity of order qs (single number or vector of diversities)

source