HomeEcology, Wildlife & Biodiversity AnalysisEvenness Index Calculator (Pielou's J') | StatsUnlock

Evenness Index Calculator (Pielou’s J’) | StatsUnlock

Evenness Index Calculator (Pielou's J') | StatsUnlock

Evenness Index Calculator

A free online tool to measure species evenness with Pielou's J', Simpson's evenness, Heip's index, and Evar from your survey counts, with instant charts and report-ready results.

BiodiversityEvennessPielou J'EcologyFreeOnline

Last updated: 15 September 2026 · Built for ecologists and wildlife researchers by StatsUnlock

⚡ 0. Quick Answer

The evenness index calculator shows how equally individuals are shared among species, on a scale of 0 to 1. Enter counts such as 45, 30, 15, 7, 3 and the tool returns Pielou's J' = 0.806 from J' = H' / ln S, plus Simpson's evenness 0.623, Heip's 0.664 and Smith and Wilson's Evar 0.514.

🌿 Key Takeaways

  • The evenness index calculator shows how equally individuals are spread across species, from balanced to strongly dominated.
  • You only need the count of individuals per species. Paste them comma separated, upload a CSV file, or type them in.
  • It returns Pielou's evenness (J'), Simpson's evenness, Heip's evenness, and the Evar index, all on a 0 to 1 scale.
  • A value near 1 means all species are similarly common; a value near 0 means one or a few species dominate.
  • Typical field uses: camera trapping, point counts, vegetation plots, transects, and reef fish surveys.

🌱 1. What Is Species Evenness?

Species evenness describes how equally individuals are shared among the species present. It is the half of biodiversity that a species list cannot show you. Richness asks how many species there are. Evenness asks whether they are balanced or whether one species holds nearly everything.

Every evenness index works the same way underneath: it compares the diversity you actually measured against the diversity you would have seen if every species were equally common. Pielou's J', the standard, divides the Shannon index by its maximum possible value, ln S. The answer runs from 0 to 1, where 1 means perfectly even.

This matters because evenness usually changes before richness does. When a habitat starts to degrade, or an invasive species arrives, the species list often stays the same for years while the balance between species shifts underneath it. Evenness picks that up first, which makes it one of the earliest warning signals in monitoring work.

Perfectly even Strongly dominated S = 5, every species equal S = 5, one species holds 80% J' = 1.00 J' = 0.48
Identical species richness, opposite evenness. A species list cannot tell these two communities apart. Pielou's J' separates them immediately.

1.1 The four evenness indices this tool reports

IndexFormulaBuilt onUse it when
Pielou's evenness (J')H' / ln SShannon indexThe default. Report this unless you have a reason not to.
Simpson's evenness (E1/D)(1/D) / SSimpson's indexDominance is your question; it leans on common species.
Heip's evenness(eH' - 1) / (S - 1)Shannon indexYou are comparing sites with different richness.
Smith and Wilson Evar1 - (2/π) arctan(variance of ln n)Raw countsYou want an index genuinely independent of richness.

What to conclude: the four indices will not agree, and they are not meant to. On this page's worked example they range from 0.514 to 0.806 for the same data. Pick one, name it, and use it consistently across every site in your study.

1.2 What the value means

Pielou's J'ReadingTypical setting
0.90 to 1.00Very even HealthyStable, undisturbed communities; well-sampled insect traps
0.75 to 0.90Even HealthyMature forest, healthy reef, good grassland
0.60 to 0.75Moderate WatchSecondary forest, managed land, seasonal aggregations
0.40 to 0.60Uneven WatchDisturbed sites, early succession, feeding congregations
Below 0.40Very uneven ConcernInvasion, pollution, monoculture, heavy management

What to conclude: a low evenness value is not automatically bad. Some natural systems, such as reed beds, salt marshes and breeding colonies, are genuinely dominated by one species. Compare against a reference site before calling it degradation.

📥 2. Set Up Your Data

0 values entered

Supports .csv and .txt, headers detected automatically.
SpeciesCount

🔎 4. Interpretation of Results, In Detail

▶ Run the analysis above to generate a detailed, plain-English interpretation of your evenness result.

✍️ 5. How to Write Your Results in Research

▶ Run the analysis above to auto-fill all six examples with your results.

🪧 5.1 Research Poster Panel

A print-ready poster layout that updates with your result. Copy the text or use the visual scaffold for A0 / A1 conference posters.

▶ Run the analysis above to build your poster panel.

🧮 6. Formulas Used

Every number this evenness index calculator reports comes from one of the seven formulas below. Cards 1 and 2 build the inputs, cards 3 to 6 are the four evenness indices, and card 7 is the quick dominance check.

1

Shannon index, the input to most evenness measures

H' = -Σ pi ln pi
  • H' Shannon Wiener index, unitless
  • pi proportion of individuals in species i, ni divided by N
  • Example: counts 45, 30, 15, 7, 3 give H' = 1.296.
  • Requires: raw counts, not percentages.
2

Maximum possible diversity

H'max = ln S
  • S species richness, a count
  • Meaning: the value H' would take if every species were equally common.
  • Example: ln 5 = 1.609.
  • Note: this is the denominator that turns diversity into evenness.
3

Pielou's evenness, the standard

J' = H' / H'max = H' / ln S
  • J' evenness, unitless, 0 to 1
  • Range: 1.0 is perfectly even, values under 0.5 mean strong dominance.
  • Example: 1.296 / 1.609 = 0.806.
  • Note: undefined when S = 1, because ln 1 = 0. A single species has no evenness.
4

Simpson's evenness

E1/D = (1 / Σ pi²) / S
  • 1/D Simpson's reciprocal index, the effective number of common species
  • Range: 0 to 1.
  • Example: 3.117 / 5 = 0.623.
  • Use for: when dominance by common species is the question. It ignores rare species almost entirely.
5

Heip's evenness

EHeip = ( eH' - 1 ) / ( S - 1 )
  • Range: 0 to 1.
  • Example: (3.656 - 1) / 4 = 0.664.
  • Use for: comparing sites whose species richness differs, because it is less pulled by S than J' is.
  • Note: undefined when S = 1.
6

Smith and Wilson's Evar

Evar = 1 - (2/π) × arctan( variance of ln ni )
  • ni the raw count of species i, not its proportion
  • Range: 0 to 1.
  • Example: variance of the logged counts is 0.958, so Evar = 0.514.
  • Use for: the one index genuinely independent of richness. It is the purest evenness measure here.
7

Berger-Parker dominance, the quick check

d = nmax / N
  • nmax count of the single commonest species
  • Example: 45 / 100 = 0.45, so the top species holds 45 percent of individuals.
  • Use for: a one-second sanity check. High d always means low evenness.

🧭 7. How to Use This Calculator

Ten steps from a field sheet to a publication-ready evenness result.

  1. Collect standardised counts. Record the number of individuals for each species using the same effort at every site.
  2. Count individuals, not just species. Evenness is impossible from a presence-only species list.
  3. Pick an input tab. Use Paste or Type for a quick run, Upload CSV for a spreadsheet, or Manual Table to key in rows.
  4. Enter species names and counts. In Column Entry mode, put the species name on the left and the count on the right.
  5. Or load a sample dataset. Choose one of the built-in field datasets to see how the tool behaves before you use your own data.
  6. Name your study area. Type the site name into the Study Area box so it appears in every report template and in the poster panel.
  7. Choose which index to highlight. Pielou's J' is the default and the one most journals expect.
  8. Click Run Analysis. The tool returns all four evenness indices, richness, the Shannon index, charts and a results table.
  9. Read across the four indices. If they disagree sharply, your community has an unusual abundance shape, which is worth a sentence in your results.
  10. Copy or download your result. Use the report templates, the poster panel, Download Doc or Download PDF for your thesis or paper.

📗 8. How to Calculate Species Evenness in Excel

Excel, step by step, with the same worked example used everywhere on this page

The worked example below uses five species with counts 45, 30, 15, 7, 3 (N = 100). Excel, R, Python and this calculator all return Pielou's J' = 0.806, Simpson's evenness 0.623, Heip's 0.664 and Evar 0.514 for it.

8.1 The Excel functions you need

FunctionWhat it doesExample
SUMPRODUCTBuilds the Shannon index in one cell=-SUMPRODUCT(C2:C6,LN(C2:C6))
LNNatural logarithm, used for H', ln S and Evar=LN(COUNTIF(B2:B6,">0"))
COUNTIFCounts species present, giving S=COUNTIF(B2:B6,">0")
SUMSQSum of squared proportions, the input to Simpson's evenness=SUMSQ(C2:C6)
VAR.PPopulation variance of the logged counts, for Evar=VAR.P(E2:E6)
ATAN and PIThe arctangent step in Smith and Wilson's Evar=1-(2/PI())*ATAN(VAR.P(E2:E6))

What to conclude: the only unusual function here is VAR.P. Use the population form, not VAR.S, or your Evar will be slightly too low.

8.2 Step by step in the sheet

Step 1. Turn counts into proportions

=B2/$B$7fill down to C6
evenness.xlsx - ExcelC2fx=B2/$B$7ABCDESpeciesCountp = n/Np*LN(p)LN(count)12Bulbul450.453Babbler300.304Sunbird150.155Barbet70.076Drongo30.03

Species names in column A, counts in column B, and C2 holds =B2/$B$7, returning 0.45. The dollar signs lock the total so the formula fills down to C6. Column C now adds to 1.00.

Step 2. Build the Shannon index

=C2*LN(C2)=-SUMPRODUCT(C2:C6,LN(C2:C6))
evenness.xlsx - ExcelD7fx=-SUMPRODUCT(C2:C6,LN(C2:C6))ABCDESpeciesCountp = n/Np*LN(p)LN(count)12Bulbul450.45-0.35933Babbler300.30-0.36124Sunbird150.15-0.28465Barbet70.07-0.18616Drongo30.03-0.10527H' Shannon1.2964

Column D holds =C2*LN(C2) for each row, and D7 totals them with the sign flipped: =-SUMPRODUCT(C2:C6,LN(C2:C6)) returns H' = 1.2964. Evenness needs this number first.

Step 3. Divide by ln S to get Pielou's evenness

=D7/LN(COUNTIF(B2:B6,">0"))=LN(5)
0")) in cell D8">evenness.xlsx - ExcelD8fx=D7/LN(COUNTIF(B2:B6,">0"))ABCDESpeciesCountp = n/Np*LN(p)LN(count)12Bulbul450.45-0.35933Babbler300.30-0.36124Sunbird150.15-0.28465Barbet70.07-0.18616Drongo30.03-0.10527Pielou J'0.8055

D8 holds =D7/LN(COUNTIF(B2:B6,">0")) and returns J' = 0.8055. Using COUNTIF inside the formula means the sheet still works when you add or remove species rows.

Step 4. Add Evar, the richness-independent index

=LN(B2)=VAR.P(E2:E6)=1-(2/PI())*ATAN(VAR.P(E2:E6))
evenness.xlsx - ExcelE7fx=1-(2/PI())*ATAN(VAR.P(E2:E6))ABCDESpeciesCountp = n/Np*LN(p)LN(count)12Bulbul450.45-0.35933.80673Babbler300.30-0.36123.40124Sunbird150.15-0.28462.70815Barbet70.07-0.18611.94596Drongo30.03-0.10521.09867Evar0.5136

Column E holds =LN(B2), the natural log of the raw count rather than the proportion. E7 returns Evar = 0.5136. Note the input is the count, not the proportion: this is the mistake that breaks Evar most often.

Tip: Pielou's evenness fits in one cell straight from the counts: =(-SUMPRODUCT(C2:C6,LN(C2:C6)))/LN(COUNTIF(B2:B6,">0")). Build the proportion column first, then this single formula gives J' with no helper cells.
Warning: Simpson's evenness and Pielou's evenness both run 0 to 1 and both get called "evenness" in papers, but they are not the same number. On this page's data they are 0.623 and 0.806. Always write which index you used in your methods.

8.3 The awkward cases

CaseWhat breaksFix
Only one species (S = 1)ln 1 = 0, so J' divides by zeroEvenness is undefined for one species. Report richness instead.
A species with a count of 0LN(0) returns #NUM! and inflates SDelete the row before calculating
Evar fed with proportionsReturns a wrong value silently, with no errorEvar takes raw counts. Point column E at column B, not column C.
VAR.S used instead of VAR.PEvar comes out slightly too lowUse VAR.P, the population form, as the published definition specifies
Counts entered as percentagesJ' still works, Evar does notGo back to raw counts if you need Evar

What to conclude: J' tolerates proportions, Evar does not. That single difference causes most of the mismatched evenness values people report.

8.4 Why answers differ between Excel, R and Python

Nearly always because a different evenness index was used. R's vegan has no single "evenness" function: J' is written by hand as diversity(x)/log(specnumber(x)), while Evar comes from a separate helper. If someone quotes 0.623 and you have 0.806, you are almost certainly comparing Simpson's evenness against Pielou's on the same data. The second cause is the log base: J' is a ratio, so it is unaffected by whether you use ln or log2 as long as you use the same base top and bottom, but mixing bases within the fraction produces nonsense. Rounding proportions before summing is the third and smallest cause.

8.5 Charting the result in Excel

  1. Rank abundance curve. Sort counts largest to smallest and Insert a Line chart. The steepness of the line is evenness, made visible.
  2. Four-index comparison bars. Chart J', Simpson's E, Heip's and Evar side by side. Where they diverge tells you about the shape of your community.
  3. Evenness across sites. One J' value per site in a clustered bar chart, with the axis fixed 0 to 1 so differences are not exaggerated.
  4. Label the axis with the index name. Write "Pielou's J'" rather than "evenness", because four different numbers answer to that word.

8.6 Excel error messages and what they mean

MessageCauseFix
#DIV/0!S = 1, so ln S is zeroEvenness needs at least two species
#NUM!LN of zero or a negative numberRemove zero counts before calculating
#VALUE!Text inside a numeric rangeClear notes such as "none seen" from the count column
Result above 1The wrong denominator, usually S instead of ln SEvenness cannot exceed 1. Check the ln.
Result is exactly 1Every species has an identical countCorrect. That is perfect evenness.
Evar is negativeATAN applied to something other than a varianceCheck that VAR.P points at the logged counts

What to conclude: any evenness value outside 0 to 1 is an arithmetic error, not a finding.

📘 9. How to Calculate Species Evenness in R

R, one complete script you can run top to bottom

9.1 The complete script

Copy this into RStudio and press Run. It needs no packages. Change only the counts line. It prints all four evenness indices and saves one 300 dpi figure.

# ------------------------------------------------------------------
# Species Evenness Indices in R
# StatsUnlock.com - free ecology and wildlife analysis tools
# ------------------------------------------------------------------
set.seed(42)

# 1. YOUR DATA -- change only this line
counts <- c(45, 30, 15, 7, 3)
species <- c("Bulbul", "Babbler", "Sunbird", "Barbet", "Drongo")

# Reading from a file instead? Uncomment the two lines below.
# dat <- read.csv("my_survey.csv")          # columns: species, count
# counts <- dat$count; species <- dat$species

# 2. CLEAN THE DATA
counts[is.na(counts)] <- 0        # missing values become zero
keep <- counts > 0                # drop zero counts, ln(0) is undefined
counts <- counts[keep]
species <- species[keep]

# 3. CALCULATE
N <- sum(counts)                          # total individuals
S <- length(counts)                       # species richness
p <- counts / N                           # proportions
H <- -sum(p * log(p))                     # Shannon index
Hmax <- log(S)                            # maximum possible diversity

pielou <- H / Hmax                        # Pielou's J', the standard
invD <- 1 / sum(p^2)                      # Simpson's reciprocal index
simpsonE <- invD / S                      # Simpson's evenness
heip <- (exp(H) - 1) / (S - 1)            # Heip's evenness
lnc <- log(counts)                        # Evar uses RAW counts, not proportions
varln <- sum((lnc - mean(lnc))^2) / S     # population variance
evar <- 1 - (2 / pi) * atan(varln)        # Smith and Wilson's Evar
berger <- max(counts) / N                 # Berger-Parker dominance

# The vegan package has no single evenness function. Build J' like this:
# install.packages("vegan")
# library(vegan)
# pielou <- vegan::diversity(counts) / log(vegan::specnumber(counts))

# 4. PRINT A PLAIN-ENGLISH VERDICT
verdict <- if (pielou >= 0.80) "high evenness" else
           if (pielou >= 0.50) "moderate evenness" else "low evenness, dominance present"
cat("Species richness S      :", S, "\n")
cat("Total individuals N     :", N, "\n")
cat("Shannon H'              :", round(H, 3), "\n")
cat("Pielou's evenness J'    :", round(pielou, 3), "\n")
cat("Simpson's evenness      :", round(simpsonE, 3), "\n")
cat("Heip's evenness         :", round(heip, 3), "\n")
cat("Smith & Wilson Evar     :", round(evar, 3), "\n")
cat("Berger-Parker dominance :", round(berger, 3), "\n")
cat("Verdict                 :", verdict, "\n")

# 5. SAVE ONE 300 dpi FIGURE
png("evenness_indices.png", width = 1800, height = 1200, res = 300)
vals <- c(pielou, simpsonE, heip, evar)
bp <- barplot(vals,
              names.arg = c("Pielou J'", "Simpson E", "Heip", "Evar"),
              col = c("#27a558", "#2b7fd4", "#8b5cf6", "#d97706"),
              border = NA, ylim = c(0, 1),
              ylab = "Evenness (0 to 1)",
              main = paste0("Evenness indices, J' = ", round(pielou, 3)))
text(bp, vals, labels = round(vals, 3), pos = 3, cex = 0.9)
dev.off()
cat("Figure saved as evenness_indices.png\n")

9.2 What each line does

LineWhat it does
counts <- c(45, 30, ...)Your species counts. This is the only line most users change.
keep <- counts > 0Drops zero counts. They break the log and inflate S.
H <- -sum(p * log(p))The Shannon index, which three of the four evenness indices need.
Hmax <- log(S)Maximum possible diversity, the denominator of Pielou's J'.
pielou <- H / HmaxPielou's evenness, the index most journals expect.
simpsonE <- invD / SSimpson's evenness, weighted toward common species.
heip <- (exp(H) - 1) / (S - 1)Heip's evenness, less influenced by richness than J'.
lnc <- log(counts)Evar runs on raw counts, not proportions. This line is where people go wrong.
varln <- sum(...) / SPopulation variance. Note the divisor is S, not S - 1, so do not use var().
evar <- 1 - (2/pi) * atan(varln)Smith and Wilson's Evar, the richness-independent index.
diversity(x) / log(specnumber(x))How to build J' with vegan. There is no single evenness function in the package.

9.3 What the figure shows

The script saves all four evenness indices as labelled bars on a fixed 0 to 1 axis. That fixed axis matters: evenness values are bounded, so a free axis exaggerates small differences and misleads readers. When the four bars sit close together your community has an ordinary abundance shape. When Evar sits far below J', as it does here at 0.514 against 0.806, a few species are much commoner than the rest.

9.4 Problems and fixes

ProblemCauseFix
Error: could not find function "evenness"vegan has no evenness functionBuild it: diversity(x) / log(specnumber(x))
J' returns NaNS = 1, so log(S) is zeroEvenness is undefined for a single species
Evar does not match this pagevar() was used, which divides by S - 1Use the population variance, dividing by S, as in the script
Evar looks wrong but throws no errorProportions were passed instead of raw countsEvar takes counts. Check the log() input.
Two indices disagree sharplyExpected behaviour, not a bugThey weight common and rare species differently. Report which one you used.
Empty PNG filedev.off() was never calledRun dev.off() once, then re-run the plotting block

9.5 One-liners worth keeping

CodeReturns
vegan::diversity(x) / log(vegan::specnumber(x))Pielou's J' from a vector or a site-by-species matrix
vegan::diversity(x, "invsimpson") / vegan::specnumber(x)Simpson's evenness
(exp(vegan::diversity(x)) - 1) / (vegan::specnumber(x) - 1)Heip's evenness
max(x) / sum(x)Berger-Parker dominance
vegan::rankabundance(x)The rank abundance table behind the evenness picture
vegan::radfit(x)Fits abundance models to describe the community shape

🐍 10. How to Calculate Species Evenness in Python

Python, one complete script you can run top to bottom

Packages: numpy does the arithmetic and matplotlib draws and saves the figure. Install them once with pip install numpy matplotlib. scipy is optional and gives entropy() for the Shannon step. scikit-bio ships a pielou_e() function. pandas is only needed if you read a CSV file.

10.1 The complete script

Save this as evenness.py and run it. Change only the counts line. It prints all four evenness indices and saves one 300 dpi figure.

# ------------------------------------------------------------------
# Species Evenness Indices in Python
# StatsUnlock.com - free ecology and wildlife analysis tools
# ------------------------------------------------------------------
import numpy as np
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt

np.random.seed(42)

# 1. YOUR DATA -- change only this line
counts = np.array([45, 30, 15, 7, 3], dtype=float)
species = ["Bulbul", "Babbler", "Sunbird", "Barbet", "Drongo"]

# Reading from a file instead? Uncomment the three lines below.
# import pandas as pd
# dat = pd.read_csv("my_survey.csv")          # columns: species, count
# counts, species = dat["count"].to_numpy(float), dat["species"].tolist()

# 2. CLEAN THE DATA
counts = np.nan_to_num(counts, nan=0.0)       # missing values become zero
keep = counts > 0                             # drop zero counts, log(0) undefined
species = [s for s, k in zip(species, keep) if k]
counts = counts[keep]

# 3. CALCULATE
N = counts.sum()                              # total individuals
S = counts.size                               # species richness
p = counts / N                                # proportions
H = float(-np.sum(p * np.log(p)))             # Shannon index
Hmax = np.log(S)                              # maximum possible diversity

pielou = H / Hmax                             # Pielou's J', the standard
invD = 1 / np.sum(p ** 2)                     # Simpson's reciprocal index
simpson_e = invD / S                          # Simpson's evenness
heip = (np.exp(H) - 1) / (S - 1)              # Heip's evenness
lnc = np.log(counts)                          # Evar uses RAW counts, not proportions
varln = np.sum((lnc - lnc.mean()) ** 2) / S   # population variance
evar = 1 - (2 / np.pi) * np.arctan(varln)     # Smith and Wilson's Evar
berger = counts.max() / N                     # Berger-Parker dominance

# SciPy shortcut for the Shannon step:
# from scipy.stats import entropy
# H = entropy(counts)          # natural log by default

# 4. PRINT A PLAIN-ENGLISH VERDICT
if pielou >= 0.80:
    verdict = "high evenness"
elif pielou >= 0.50:
    verdict = "moderate evenness"
else:
    verdict = "low evenness, dominance present"
print(f"Species richness S      : {S}")
print(f"Total individuals N     : {N:.0f}")
print(f"Shannon H'              : {H:.3f}")
print(f"Pielou's evenness J'    : {pielou:.3f}")
print(f"Simpson's evenness      : {simpson_e:.3f}")
print(f"Heip's evenness         : {heip:.3f}")
print(f"Smith & Wilson Evar     : {evar:.3f}")
print(f"Berger-Parker dominance : {berger:.3f}")
print(f"Verdict                 : {verdict}")

# 5. SAVE ONE 300 dpi FIGURE
labels = ["Pielou J'", "Simpson E", "Heip", "Evar"]
vals = [pielou, simpson_e, heip, evar]
fig, ax = plt.subplots(figsize=(6, 4))
bars = ax.bar(labels, vals, color=["#27a558", "#2b7fd4", "#8b5cf6", "#d97706"])
ax.bar_label(bars, fmt="%.3f", padding=3)
ax.set_ylim(0, 1)
ax.set_ylabel("Evenness (0 to 1)")
ax.set_title(f"Evenness indices, J' = {pielou:.3f}")
plt.tight_layout()
plt.savefig("evenness_indices.png", dpi=300)
print("Figure saved as evenness_indices.png")

10.2 What each line does

LineWhat it does
matplotlib.use("Agg")Draws without a screen, so the script runs on a server or in a notebook.
counts = np.array([...])Your species counts. The only line most users change.
keep = counts > 0Drops zero counts, which would send np.log to negative infinity.
H = -np.sum(p * np.log(p))The Shannon index, needed by three of the four evenness measures.
Hmax = np.log(S)Maximum possible diversity, the denominator of Pielou's J'.
pielou = H / HmaxPielou's evenness, the standard index.
simpson_e = invD / SSimpson's evenness, weighted toward common species.
heip = (np.exp(H) - 1) / (S - 1)Heip's evenness, less pulled by species richness.
lnc = np.log(counts)Evar takes raw counts, not proportions. The commonest mistake in this script.
varln = np.sum(...) / SPopulation variance. NumPy's var() already divides by S, unlike R's var().
ax.set_ylim(0, 1)Fixes the axis, because evenness is bounded and a free axis misleads.

10.3 What the figure shows

The saved PNG shows the four indices as labelled bars on a fixed 0 to 1 axis, identical in meaning to the R figure. For the rank abundance picture instead, sort the counts descending and plot them on a log y axis: the slope of that line is what every evenness index is summarising into one number.

10.4 Problems and fixes

ProblemCauseFix
skbio pielou_e differs slightlyscikit-bio uses base 2 in some versionsJ' is a ratio, so the base cancels only if used top and bottom. Check the docstring.
RuntimeWarning: divide by zeroA zero count reached np.logKeep the counts > 0 filter
J' returns nanS = 1, so np.log(S) is zeroEvenness is undefined for a single species
Evar disagrees with RR's var() divides by S - 1, NumPy's var() divides by SUse the population form in both. The script does this explicitly.
Evar looks wrong with no errorProportions passed instead of raw countsEvar takes counts. Check the np.log input.
Figure window never opensThe Agg backend has no screen outputThat is expected. Open the saved PNG file.

10.5 One-liners worth keeping

CodeReturns
skbio.diversity.alpha.pielou_e(c)Pielou's evenness from integer counts
entropy(c) / np.log((c > 0).sum())Pielou's J' using SciPy for the Shannon step
(1/np.sum((c/c.sum())**2)) / (c > 0).sum()Simpson's evenness
(np.exp(entropy(c)) - 1) / ((c > 0).sum() - 1)Heip's evenness
1 - (2/np.pi)*np.arctan(np.log(c).var())Smith and Wilson's Evar, since NumPy var() is already the population form
c.max() / c.sum()Berger-Parker dominance

📋 11. Reference Tables

Six lookup tables for reading, comparing and sanity-checking a species evenness result.

Table 11.1 Published Pielou's J' values by habitat type

HabitatTaxonTypical J'Typical S
Lowland tropical rainforestBirds0.80 to 0.9240 to 120
Dry deciduous forestBirds0.75 to 0.8825 to 50
Temperate woodlandBirds0.72 to 0.8615 to 35
Grassland, managedPlants0.60 to 0.8210 to 30
Wetland, freshwaterWaterbirds0.65 to 0.8512 to 40
Coral reef transectFish0.75 to 0.9030 to 80
Camera trap gridLarge mammals0.60 to 0.856 to 20
Urban parkBirds0.55 to 0.808 to 20
Intensive croplandArthropods0.45 to 0.725 to 20
Reed bed or breeding colonyBirds0.20 to 0.503 to 15

What to conclude: note the last row. A breeding colony is naturally dominated by one species and scores very low, yet it may be the most valuable site in the region. Low evenness is not the same as poor habitat.

Table 11.2 The four indices on the same five datasets

CountsPielou J'Simpson EHeipEvar
20, 20, 20, 20, 201.0001.0001.0001.000
45, 30, 15, 7, 30.8060.6230.6640.514
40, 30, 20, 8, 20.8260.6740.6950.448
80, 5, 5, 5, 50.4830.3080.2940.435
96, 1, 1, 1, 10.1390.2170.0630.186

What to conclude: all four agree at the extremes and diverge in the middle. Heip's index falls fastest as dominance sets in, Evar falls most gently. This is why the index you choose has to be named.

Table 11.3 What each index is sensitive to

IndexAffected by richness?WeightsChoose it when
Pielou's J'Yes, stronglyRare speciesYou want the index reviewers expect
Simpson's E1/DYes, moderatelyCommon speciesDominance is your question
Heip'sLess than J'Rare speciesSites differ in species richness
Smith and Wilson EvarNoAll species equally on a log scaleYou need evenness independent of richness
Berger-ParkerNoOnly the commonest speciesA fast screen, not a formal result

What to conclude: J' is not independent of richness, despite how often it is described that way. If your sites differ in S, report Evar or Heip alongside it.

Table 11.4 Evenness against dominance

Commonest species holdsBerger-Parker dRough J' (S = 10)Reading
10 percent0.101.00Perfectly even Healthy
25 percent0.250.96Even Healthy
40 percent0.400.86Even Healthy
60 percent0.600.67Moderate Watch
80 percent0.800.41Uneven Watch
95 percent0.950.13Very uneven Concern

What to conclude: these J' values assume the remaining individuals are split equally, so they are the best case for that level of dominance. Your real value will sit at or below them.

Table 11.5 Minimum sampling effort by survey type

Survey typeMinimum effort for a usable J'Preferred effort
Bird point counts10 points, 50 individuals30 points across 3 visits
Line transects2 km walked10 km, repeated in 2 seasons
Camera trapping500 trap nights1,500 or more trap nights
Vegetation quadrats10 quadrats of 1 m²30 quadrats, stratified by habitat
Pitfall traps20 trap days100 trap days across 5 stations
Reef fish belt transects4 transects of 50 m12 transects across 3 depths
Light trap insects3 trap nights12 trap nights across the season

What to conclude: evenness needs enough individuals to see the abundance shape, not enough to find every species. That makes it less effort-hungry than richness, but the counts have to be accurate.

Table 11.6 Which diversity measure to report

MeasureAnswersRangeBest used when
Pielou's J'How evenly are they spread?0 to 1Dominance or balance is the question
Species richness SHow many species?1 upwardYou have a species list and standardised effort
Shannon Wiener H'Both, in one number0 to ~4.6You want a single summary figure
Simpson's 1 - DBoth, weighted to common species0 to 1Small samples, or dominance matters
Berger-ParkerHow dominant is the top species?0 to 1A quick screen
Hill numbersDiversity on a species scale1 upwardYou need comparable ratios across sites

What to conclude: evenness is never reported alone. Pair J' with richness at minimum, because the two together are what the Shannon index is made of.

📊 12. Example Results

Six fully worked scenarios showing the exact counts, the numbers behind each evenness index, and how to read the result in the field. Try any of them in the calculator above to reproduce the values.

Scenario 1: Balanced, even grassland community

Data: 5 plant species, 100 individuals: 20, 20, 20, 20, 20 (each species = 20% of the plot).
Working: Shannon H' = ln 5 = 1.609, and H'max = ln 5 = 1.609, so Pielou's J' = 1.609 / 1.609 = 1.00. Simpson's evenness = 1.00 and Heip = 1.00 too.
Reading: This is a perfectly even community, every species is equally common and none dominates. In the field this is rare and usually points to a stable, undisturbed patch or a deliberately balanced experimental plot. All four indices agree, which is the sign of a genuinely even community.

Scenario 2: Strong single-species dominance

Data: same 5 species, 100 individuals, but skewed: 80, 5, 5, 5, 5 (one species is 80% of the plot).
Working: Shannon H' = 0.78, H'max = 1.609, so Pielou's J' = 0.78 / 1.609 = 0.48. Simpson's evenness falls to 0.31 and Heip to 0.29.
Reading: Richness is identical to Scenario 1 (still 5 species), yet evenness has collapsed because one species dominates. A value below 0.5 is a warning sign in the field, it often follows pollution, nutrient enrichment, heavy grazing, or an invasive takeover. This is the classic case where richness alone would miss the problem.

Scenario 3: Same richness, different evenness

Data: two plots, each with 5 species and 100 individuals. Plot A: 20, 20, 20, 20, 20. Plot B: 60, 20, 10, 7, 3.
Working: Plot A J' = 1.00. Plot B: H' = 1.15, so J' = 1.15 / 1.609 = 0.71.
Reading: Both plots score identically on species richness (S = 5), so a richness-only survey would call them the same. Evenness separates them: Plot A is perfectly balanced, Plot B is moderately skewed toward one common species. This is exactly why ecologists report evenness alongside richness, it captures community structure that a species count cannot.

Scenario 4: Before vs after habitat restoration

Data: the same grassland plot surveyed twice. Before: 70, 15, 8, 5, 2 (invasive-dominated). After 3 years of invasive removal: 30, 25, 20, 15, 10.
Working: Before J' = 0.60 (H' = 0.96). After J' = 0.96 (H' = 1.54).
Reading: Richness stayed at 5 species, but evenness rose sharply as native species recovered and the invasive stopped dominating. A rising J' over time is one of the clearest quantitative signs that a restoration is working, which makes evenness a valuable long-term monitoring metric.

Scenario 5: Camera-trap mammal survey

Data: 8 mammal species over 1,400 trap nights in a wildlife corridor: 40, 35, 30, 25, 20, 15, 10, 5 (180 detections).
Working: H' = 1.94, H'max = ln 8 = 2.079, so Pielou's J' = 1.94 / 2.079 = 0.93. Simpson's evenness ≈ 0.86.
Reading: A high value for a mammal community, meaning detections are shared fairly evenly across species with no runaway dominant. For camera-trap work, always tie this to standardised effort (equal trap nights per site) so the evenness is comparable between locations and seasons.

Scenario 6: Edge case: sample far too small

Data: a rushed survey of just 3 individuals across 3 species: 1, 1, 1.
Working: H' = ln 3 = 1.099, H'max = ln 3 = 1.099, so J' = 1.00: a "perfect" score.
Reading: The maths returns 1.00, but the result is meaningless because the sample is tiny. Evenness (and every diversity index) needs adequate sampling, aim for at least 30 individuals and several species. This scenario is a caution: never report an evenness value without checking that sampling effort was enough.

Scenario 7: Evenness falls before richness does

A grassland monitored for six years keeps the same 14 plant species throughout. Pielou's J' drops from 0.84 to 0.61 as one invasive grass spreads. The species list shows nothing wrong. Evenness caught the change three years before any species was actually lost.

Scenario 8: The worked example used in Sections 8, 9 and 10

Five species with counts 45, 30, 15, 7, 3 give N = 100, S = 5, Shannon H' = 1.296, Pielou's J' = 0.806, Simpson's evenness 0.623, Heip's 0.664, Evar 0.514 and Berger-Parker 0.45. Excel, R, Python and this calculator all agree, so use this dataset to check your own setup.

🥾 13. How to Collect Raw Data in the Field

Evenness is only as good as the counts behind it. Follow these ready-to-use steps in the field to collect clean, comparable species abundance data. Print this list and take it with you.

start end Line Transect Walk the line, count every individual
Fig 1. Line transect. Walk a fixed straight line at steady pace and count every individual of each species, noting its distance from the line.
observer radius r Point Count Stand still, count within a fixed radius
Fig 2. Point count. Stand at a fixed station for a set time (e.g. 10 min) and count all individuals within a fixed radius; repeat at several stations.
Quadrat Count all individuals in a fixed frame 1 m × 1 m frame
Fig 3. Quadrat. For plants or sessile species, place a fixed frame (e.g. 1 m × 1 m) and count every individual of each species inside it.
camera Camera Trap Motion-triggered photos over trap nights
Fig 4. Camera trap. For shy mammals, fix motion-triggered cameras, run them for equal trap nights per site, and count independent detections per species.
FIELD DATASHEET · Site: Pine Ridge SpeciesCountDetect Robin|||| |||seen Blue Tit|||| |heard Wren||||heard Chaffinch|||seen Nuthatch||seen Date 14/07 Observer RP 0630–0700 Clear
Fig 5. Field datasheet. One row per species: tally each individual, note how it was detected, and record date, observer, time, and weather. Sum per species, then paste the totals into the calculator.
Per-station tallies Robin S1:3 S2:2 S3:2Blue Tit S1:2 S2:2 S3:2 Wren S1:1 S2:2 S3:1Chaffinch S1:1 S2:1 S3:1 Nuthatch S1:1 S2:0 S3:1 add across stations → Paste into tool 7, 6, 4, 3, 2 J' = 0.94 ✓ From datasheet to result Sum species totals, then enter
Fig 6. Sum, then enter. Add each species across all stations to get one total per species, then paste the comma-separated totals into the calculator to get Pielou's J'.
  1. Define your question first. Decide what you are comparing (site vs site, season vs season, before vs after) before you collect any counts.
  2. Pick one taxonomic group and stick to it. Count only birds, only trees, or only mammals. Mixing groups makes evenness meaningless.
  3. Choose a standard sampling method and use it everywhere: point counts, line transects, quadrats, camera traps, pitfall traps, or mist nets.
  4. Fix your sampling effort. Keep the same transect length, plot size, count duration, or number of trap nights at every site.
  5. Set a minimum sample. Aim for at least 30 individuals and several species; small samples give unstable evenness values.
  6. Use replicates. Place at least 3 stations, plots, or transects per site so you can estimate variation.
  7. Mark station locations with GPS so the exact spot can be resurveyed in future years.
  8. Record every individual, not just species presence. Evenness needs accurate abundance counts, not a checklist.
  9. Count during a consistent time window and avoid rain, high wind, or extreme heat.
  10. Avoid double-counting. Move in one direction, note flying birds separately, and use a set detection radius.
  11. Log detection method (seen, heard, trapped, photographed) for later corrections.
  12. Identify to species where possible. If you cannot, use a consistent morphospecies label and keep it identical across sheets.
  13. Use a prepared datasheet. Columns: Date, Site, Station, Observer, Species, Count, Detection type, Notes.
  14. Record effort metadata on every sheet: start and end time, weather, observer name, and equipment used.
  15. Photograph or voucher tricky species to settle identification disputes back at the desk.
  16. Enter counts as whole numbers, not percentages or densities.
  17. Back up your data the same day by photographing paper sheets or typing counts into a spreadsheet.
  18. Keep a field notebook for disturbance, human activity, unexpected species, or equipment problems.
  19. Sum counts per species before entry, then paste the per-species totals into this calculator (for example 52, 48, 55, 61, 47).
  20. Never invent or round zeros away. A species absent from the sample is simply not listed.

🎯 14. When to Use This Tool

14.1 Quick decision checklist

  • ✅ You have counts of individuals per species, not just a species list.
  • ✅ Your question is about balance: is one species taking over?
  • ✅ Two sites have similar richness and you need to show they are not the same.
  • ✅ You are monitoring a site over time and want an early warning signal.
  • ❌ You only have presence or absence data. Evenness is impossible without abundances.
  • ❌ You have one species. Evenness is undefined, not zero.
  • ❌ Effort differs a lot between sites and cannot be standardised. Fix that first.

14.2 Four real situations

SituationWhat you doWhat evenness tells you
Two forest patches with the same species listStandardised point counts at bothWhich one is genuinely balanced and which is carried by one abundant species
Long-term monitoring of a restored grasslandRepeat quadrats each JuneWhether the community is balancing out, often before richness changes at all
Tracking an invasive speciesCounts before and after arrivalFalling evenness with steady richness is the classic invasion signature
Reporting a Shannon index to a reviewerReport J' alongside H'Whether your diversity value comes from many species or from good balance

14.3 Sampling design guidance

  1. Count carefully, not just thoroughly. Evenness depends on the accuracy of your counts, not on finding every last species.
  2. Fix effort first. Decide trap nights, transect length or quadrat count before you start, and keep it identical at every site.
  3. Avoid aggregations. A flock, a fruiting tree or a carcass inflates one species and crushes evenness for reasons that have nothing to do with the habitat.
  4. Replicate within sites. Three or more stations let you report a mean J' with a standard error rather than a bare number.
  5. Hold the season constant. Evenness swings hard with breeding, migration and flowering.

14.4 Which metric next

  • Want the number of species? Go to species richness.
  • Want richness and evenness combined? Use the Shannon Wiener index.
  • Want the dominance side specifically? Use Simpson's index or Berger-Parker.
  • Comparing sites with very different richness? Use Evar or Heip's index rather than J'.
  • Want to see the shape rather than a summary? Plot a rank abundance curve.

🛠️ 15. Troubleshooting and Common Errors

Ten problems users hit with evenness indices, and how to fix each one.

My four evenness indices give four different answers

Cause: they are different indices, not different attempts at one index. Fix: on this page's worked example they range from 0.514 to 0.806 for identical data. Pick one, name it in your methods, and use it for every site in the study.

Evenness is undefined or returns an error

Cause: only one species is present, so ln S is zero. Fix: evenness genuinely has no meaning for a single species. It is not zero, it is undefined. Report richness instead.

My evenness value is above 1

Cause: the wrong denominator, usually S instead of ln S. Fix: every index here is bounded at 1. Check that you divided the Shannon index by ln S, not by S.

Evar does not match my supervisor's value

Cause: either proportions were used instead of raw counts, or the sample variance was used instead of the population variance. Fix: Evar takes the log of raw counts, and divides the squared deviations by S, not by S minus 1.

Evenness is low but the site looks healthy

Cause: some natural systems are genuinely dominated by one species. Fix: reed beds, salt marshes, breeding colonies and kelp forests all score low and are high-value habitats. Compare against a reference site of the same type before interpreting.

My evenness changed but my species list did not

Cause: that is exactly what evenness is for. Fix: nothing to fix. Shifting abundance with a stable species list is an early signal of change, and often the most useful result in a monitoring dataset.

Two sites have the same J' but different richness

Cause: J' is a ratio, so it can match across very different communities. Fix: always report S beside J'. A J' of 0.8 across 5 species and across 50 species describe very different places.

A single flock wrecked my evenness value

Cause: one aggregation can hold more individuals than the rest of the survey combined. Fix: note it in your results, and consider reporting evenness with and without the aggregation so readers can see its effect.

Can I calculate evenness from percentages?

Cause: partial. Fix: Pielou's J', Simpson's evenness and Heip's index all work from proportions. Smith and Wilson's Evar does not, because it uses the variance of the logged raw counts. Go back to counts if you need Evar.

Charts do not appear after I click Run

Cause: the Chart.js library was blocked by a network filter or an offline device. Fix: reload the page on a normal connection. The numbers and the results table still work without charts.

⚠️ 16. Assumptions and Limitations

Evenness is the most useful biodiversity measure for detecting change and the most easily misinterpreted as a quality score. These are the conditions it relies on, and what it cannot tell you.

16.1 What the indices assume

  • Counts are accurate. Evenness depends on the size of each count, not just on which species are present.
  • Individuals were sampled at random, with no species systematically over-counted.
  • All species had a fair chance of being detected. Loud or conspicuous species inflate their own share.
  • Each record is independent. Ten photographs of one animal in one minute is one detection.
  • Counts are of individuals, not biomass, cover, or percentages, at least for Evar.
  • At least two species are present, or every index here is undefined.

16.2 What it cannot tell you

  • How many species there are. A perfectly even community of three species scores 1.00, the same as one of three hundred.
  • Which species are present, or whether they are native, rare or invasive.
  • Whether low evenness is natural for that habitat type or a sign of damage.
  • Whether a difference between sites is statistically significant. That needs replicates and a test.
  • Anything at all from presence-absence data.

16.3 The four limitations reviewers raise most

LimitationWhy it mattersWhat to do
J' is not independent of richnessIt is often described as if it were, but S sits in its denominatorReport Evar or Heip alongside when richness differs between sites
Four indices, one wordReaders cannot tell which "evenness" you reportedName the index in the methods and in every table caption
Sensitive to aggregationsOne flock or fruiting tree can halve your valueNote aggregations, and report with and without them if they dominate
Low evenness is not always badMany natural habitats are singly dominated by designCompare against a reference site of the same habitat type

What to conclude: report evenness with richness and the index name attached. J' = 0.81 means nothing on its own; J' = 0.81 (Pielou, S = 5, N = 100) means something.

🔍 17. Conclusion

▶ Run the analysis above to generate a personalised conclusion for your dataset.

❓ 18. Frequently Asked Questions

What is species evenness and why does it matter?

Species evenness describes how equally individuals are shared among the species present, on a scale of 0 to 1. It matters because it changes before richness does. A degrading habitat often keeps its species list for years while the balance between species shifts underneath it.

How do you calculate Pielou's evenness step by step?

Calculate the Shannon index H' from your species proportions, then divide it by ln S, where S is the number of species. With counts 45, 30, 15, 7, 3 the Shannon index is 1.296 and ln 5 is 1.609, so J' = 0.806.

What is the Excel formula for Pielou's evenness?

Build the proportions first, then use =(-SUMPRODUCT(C2:C6,LN(C2:C6)))/LN(COUNTIF(B2:B6,">0")). The numerator is the Shannon index and the denominator is ln S. Using COUNTIF inside means the formula still works when you add species rows.

How do I calculate species evenness in R?

There is no single evenness function in vegan. Build it yourself: vegan::diversity(x) / log(vegan::specnumber(x)). For Smith and Wilson's Evar use the population variance of the logged raw counts, dividing by S rather than S minus 1.

Which Python package calculates species evenness?

scikit-bio has skbio.diversity.alpha.pielou_e() for Pielou's J'. NumPy alone is enough for all four indices, and SciPy's entropy() can supply the Shannon step. Check the scikit-bio docstring, because some versions use base 2.

What is a good species evenness value?

Values above 0.80 are high, 0.60 to 0.80 moderate, and below 0.40 indicate strong dominance. But some natural habitats such as reed beds and breeding colonies are genuinely dominated by one species and score low while being highly valuable.

What is the difference between evenness and richness?

Richness counts how many species are present. Evenness describes how equally the individuals are shared among them. Two plots with five species each can score 1.00 and 0.48 on evenness, and a species list cannot tell them apart.

Why do my four evenness indices give different answers?

Because they are four different indices, not four attempts at one. On this page's worked example they range from 0.514 to 0.806 for identical data. Pick one, name it in your methods, and use it consistently across every site.

What is the difference between Pielou's J' and Simpson's evenness?

Pielou's J' is built from the Shannon index and gives weight to rare species. Simpson's evenness is built from the reciprocal Simpson index and leans on the common ones. They answer slightly different questions about the same community.

What is Smith and Wilson's Evar and when should I use it?

Evar is 1 minus (2 divided by pi) times the arctangent of the variance of the logged counts. Use it when your sites differ in species richness, because unlike Pielou's J' it is genuinely independent of how many species are present.

Is Pielou's evenness independent of species richness?

No, despite being described that way often. Species richness sits in the denominator as ln S, so J' is affected by it. If you are comparing sites with very different richness, report Evar or Heip's index alongside.

What data do I need to calculate species evenness?

You need the count of individuals for each species. Evenness cannot be calculated from a presence-absence list, because it depends entirely on how large each count is relative to the others. At least two species must be present.

Can species evenness be greater than 1?

No. Every index on this page is bounded between 0 and 1. A value above 1 means the wrong denominator was used, usually S instead of ln S in Pielou's formula. Check the natural log.

Why is my evenness undefined for one species?

Because ln 1 equals zero, and dividing by zero has no answer. Evenness describes how individuals are shared between species, so with only one species there is nothing to share. Report species richness instead.

How do I report species evenness in a journal or report?

Name the index, give the value, and add richness and sample size, for example: Pielou's J' = 0.806 (S = 5 species, N = 100 individuals). Evenness reported without richness beside it cannot be interpreted.

Does a low evenness value mean the habitat is degraded?

Not necessarily. Invasion, pollution and heavy management all lower evenness, but so does natural dominance in reed beds, salt marshes, kelp forests and breeding colonies. Compare against a reference site of the same habitat type.

How does evenness relate to the Shannon index?

The Shannon index combines richness and evenness into one number, and Pielou's J' separates the evenness half back out by dividing H' by its maximum possible value. Reporting H' and J' together shows which one is driving your diversity.

Can one flock or aggregation ruin my evenness value?

Yes. A single flock, fruiting tree or carcass can hold more individuals than the rest of the survey combined, which crushes evenness for reasons unrelated to habitat quality. Note it, and consider reporting with and without it.

Does sample size affect species evenness?

Less than it affects richness, because evenness depends on the shape of the abundance distribution rather than on finding every species. It still needs enough individuals to see that shape, so aim for at least 50 individuals.

Is this evenness index calculator free and accurate?

Yes. It is completely free, runs entirely in your browser, stores no data, and uses the published formulas for Pielou's J', Simpson's evenness, Heip's index and Smith and Wilson's Evar. Results are cross-checked against R and Python.

📝 19. Cite This Tool

Use one of these three formats when you mention this evenness index calculator in a thesis, report, or paper.

APA 7th edition

StatsUnlock. (2026). Evenness index calculator: Pielou's J', Simpson, Heip and Evar [Computer software]. https://statsunlock.com/evenness-index-calculator/

BibTeX

@misc{statsunlock_evenness_2026,
  title        = {Evenness Index Calculator: Pielou's J', Simpson, Heip and Evar},
  author       = {{StatsUnlock}},
  year         = {2026},
  howpublished = {\url{https://statsunlock.com/evenness-index-calculator/}},
  note         = {Accessed: 2026-09-15}
}

Methods paragraph

Species evenness was quantified using Pielou's evenness index, J' = H' / ln S, where H' is the Shannon Wiener index and S is species richness (Pielou, 1966). Smith and Wilson's Evar was also calculated as an index independent of richness (Smith & Wilson, 1996). All indices were computed with the StatsUnlock evenness index calculator (https://statsunlock.com/evenness-index-calculator/) using natural logarithms, and verified in R.

🔗 20. Related Tools

Free ecology and wildlife calculators that pair well with species evenness.

Shannon Wiener Index Calculator

The index Pielou's J' is built from. Report H' and J' together and the pair explains itself.

Species Richness Calculator

The other half of diversity. Evenness without richness beside it cannot be interpreted.

Simpson's Diversity Index Calculator

The source of Simpson's evenness, and the better choice when dominance is the question.

Hill Numbers Calculator

Puts richness, Shannon and Simpson on one scale, which makes evenness easier to explain.

Relative Abundance Calculator

Turns raw counts into the proportions every evenness index needs.

Camera Trap Analysis Calculator

Turns photo detections and trap nights into the standardised counts this tool needs.

📖 21. Glossary of Terms

Abundance The number of individuals of a species recorded in a sample.
Aggregation A temporary concentration of one species, such as a flock or a fruiting tree, which distorts evenness.
Alpha diversity Diversity within a single site or sample. Evenness is one component of it.
Berger-Parker index The proportion of the sample made up by the single commonest species.
Dominance The degree to which one or a few species hold most individuals. It is the opposite of evenness.
Evar Smith and Wilson's evenness index, built from the variance of the logged counts and independent of richness.
Effective number of species The number of equally common species that would give the same diversity, such as exp(H') or 1/D.
Heip's evenness An evenness index, (e^H' - 1) / (S - 1), less influenced by richness than Pielou's J'.
Maximum diversity (H'max) ln S, the Shannon value a community would have if every species were equally common.
Natural logarithm (ln) The logarithm to base e (2.718), the standard base for Shannon and evenness work.
Pielou's evenness (J') The standard evenness index, H' divided by ln S, running from 0 to 1.
Population variance Squared deviations divided by S rather than S minus 1. Evar requires this form.
Proportion (p) A species count divided by the total count. All proportions in a sample add to 1.00.
Quadrat A fixed-size sampling frame, usually square, placed on the ground to count plants or slow-moving animals.
Rank abundance curve A plot of species counts sorted from commonest to rarest. Its slope is what evenness summarises.
Sampling effort The amount of survey work done: trap nights, transect kilometres, point counts, or quadrats.
Shannon Wiener index (H') A diversity index combining richness and evenness, calculated as -Σ p ln p.
Simpson's evenness The reciprocal Simpson index divided by richness, weighted toward common species.
Species evenness How equally individuals are shared among the species present.
Species richness (S) The number of different species in a sample, with no weighting by abundance.
Trap night One camera trap active for 24 hours. The standard unit of camera trap effort.
Transect A fixed line along which observations are recorded at a steady speed and effort.
📚 22. References (20 Peer-Reviewed Sources)

The following references support the ecological methods used in this evenness index calculator, covering biodiversity measurement, species evenness, and best practices in ecological sampling and wildlife analysis.

  1. Pielou, E. C. (1966). The measurement of diversity in different types of biological collections. Journal of Theoretical Biology, 13, 131–144. doi.org/10.1016/0022-5193(66)90013-0
  2. Shannon, C. E., & Weaver, W. (1949). The mathematical theory of communication. University of Illinois Press.
  3. Simpson, E. H. (1949). Measurement of diversity. Nature, 163, 688. doi.org/10.1038/163688a0
  4. Heip, C. (1974). A new index measuring evenness. Journal of the Marine Biological Association UK, 54(3), 555–557. doi.org/10.1017/S0025315400022736
  5. Smith, B., & Wilson, J. B. (1996). A consumer's guide to evenness indices. Oikos, 76(1), 70–82. doi.org/10.2307/3545749
  6. Magurran, A. E. (2004). Measuring biological diversity. Blackwell Publishing.
  7. Hill, M. O. (1973). Diversity and evenness: A unifying notation and its consequences. Ecology, 54(2), 427–432. doi.org/10.2307/1934352
  8. Jost, L. (2006). Entropy and diversity. Oikos, 113(2), 363–375. doi.org/10.1111/j.2006.0030-1299.14714.x
  9. Krebs, C. J. (1999). Ecological methodology (2nd ed.). Benjamin Cummings.
  10. Tuomisto, H. (2012). An updated consumer's guide to evenness and related indices. Oikos, 121(8), 1203–1218. doi.org/10.1111/j.1600-0706.2011.19897.x
  11. Gotelli, N. J., & Colwell, R. K. (2001). Quantifying biodiversity: Procedures and pitfalls. Ecology Letters, 4(4), 379–391. doi.org/10.1046/j.1461-0248.2001.00230.x
  12. Oksanen, J., et al. (2022). vegan: Community ecology package. R package v2.6-4. CRAN.R-project.org/package=vegan
  13. Whittaker, R. H. (1972). Evolution and measurement of species diversity. Taxon, 21(2/3), 213–251. doi.org/10.2307/1218190
  14. Bibby, C. J., Burgess, N. D., Hill, D. A., & Mustoe, S. H. (2000). Bird census techniques (2nd ed.). Academic Press.
  15. Ahumada, J. A., et al. (2011). Community structure and diversity of tropical forest mammals. Phil. Trans. R. Soc. B, 366(1578), 2703–2711. doi.org/10.1098/rstb.2011.0115
  16. Peet, R. K. (1974). The measurement of species diversity. Annual Review of Ecology and Systematics, 5, 285–307. doi.org/10.1146/annurev.es.05.110174.001441
  17. Roswell, M., Dushoff, J., & Winfree, R. (2021). A conceptual guide to measuring species diversity. Oikos, 130(3), 321–338. doi.org/10.1111/oik.07202
  18. Niedballa, J., et al. (2016). camtrapR: An R package for camera trap data. Methods Ecol. Evol., 7(12), 1457–1462. doi.org/10.1111/2041-210X.12600
  19. R Core Team. (2024). R: A language and environment for statistical computing. R-project.org
  20. Jost, L. (2010). The relation between evenness and diversity. Diversity, 2(2), 207–232. doi.org/10.3390/d2020207

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