Measuring Biological Diversity

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Measuring Biological
Diversity
EEEB G6185
James A. Danoff-Burg
Dept. Ecol., Evol., & Envir. Biol.
Columbia University
Today: Course Introduction
Introduction to the course
Tools to acquire
Course format
Course requirements
Required materials
Content: Basics of measuring biological diversity
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Goals of the Course
Provide skills in censusing & measuring biological
diversity
Choosing appropriate indices for your question
Comparing biodiversity between samples
Design your thesis / dissertation?
Publish a paper or two together?
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Course Format
Weekly meetings, W 4:10 - 6:00
252 Engineering Terrace computer center
Preparatory readings
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Southwood & Henderson 2000
Magurran 1988
Primary literature & Web resources
Lecture introduction
In-class exploration of techniques
Write-ups of the techniques

Produce a publishable paper?
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Tools to Acquire
Survey techniques
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How to design your survey
Specific to question, taxon, location
Diversity indices – understanding & use
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Point: diversity at a single point or microenvironment
Alpha: within habitat diversity
Beta: species diversity along transects & gradients
• High Beta indicates number of spp increases rapidly with
additional sampling sites along the gradient
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Gamma: diversity of a larger geographical unit (island)
Epsilon: regional diversity (if time)
Applying biodiversity to conservation decisions
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Course Schedule
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Week 1; 22 Jan - Intro to community diversity & biotic inventories,
Week 2; 29 Jan - Richness, abundance, & generation of biodiversity
Week 3; 5 Feb - Evenness & broken stick diagrams
Week 4; 12 Feb - Simple community diversity indices I
Week 5; 19 Feb - Simple community diversity indices II
Week 6; 26 Feb - Simple community diversity indices II
Week 7; 5 Mar - Choosing between & improving indices (JDB away?)
Week 8; 12 Mar - Beta diversity indices
Week 9; 19 Mar - Spring Break
Week 10; 26 Mar - Community ordination techniques
Week 11; 2 Apr - Gamma diversity indices I
Week 12; 9 Apr - Gamma diversity indices II
Week 13; 16 Apr - Prioritizing areas for conservation
Week 14; 23 Apr - Implementing conservation decisions
Week 15; 30 Apr - Deadline for submission of term paper
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Course Requirements
Several short write-ups through term – 20%

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Approximately 4-8
Ex: describe an appropriate sampling protocol for your
research question
In-Class participation – 30%
Final paper – 50%
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Due at end of term
Written collaboratively
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Course Materials
Required:
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Magurran 1988 (Labyrinth)
EstimateS
• (from Rob Colwell at http://viceroy.eeb.uconn.edu/EstimateS)
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Excel and SPSS software programs
Others
Recommended:
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Southwood & Henderson 2000 (Labyrinth)
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Content Introduction
Will begin biodiversity & indices next week
Today – Basics of Measuring Biological Diversity
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Introduce some terms
Talk about experimental design to collect biodiversity
data
Discuss how to implement designs
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Basics of
Measuring Biological Diversity
What is a community?
What is biodiversity & how to survey it?
Censusing
Pseudoreplication
Applying these techniques
Assignment for next time
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Community
Define community?
Some possibilities
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Group of populations in a single place (Krebs 85)
Assemblage of species populations which occur
together in space & time (Begon et al. 86)
Distillation & modification:
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Group of interacting populations, single time, single
defined place
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Implications of Definition
Species in a community interact with each other
Can include all species

Can be limited to a single guild
• More common, more tractable
Defined by a consistent spatial boundary
How we design our studies (sampling & indices)
depends on our question
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Basics of
Measuring Biological Diversity
What is a community?
What is biodiversity & how to survey it?
Pseudoreplication
Applying these techniques
Assignment for next time
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Aspects of Biodiversity
What can we measure?
Possibilities
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Species (richness)
Abundance
Diversity
• relationship between richness & abundance
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Guild
Trophic structure
Evolutionary diversity
Within species diversity (genetic, morphological)
Others?
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
How to Summarize
& Describe Nature?
Near-infinite number of things to record
How to simplify?
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Dictated by: experimental question, location, taxon
Sample (really subsample) from nature
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•
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Choose an aspect of biodiversity
Location
Life stage
Etc.
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Types of Censusing Designs
Grid
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Using regular intervals along a 2-dimensional design
Transect
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Sampling with reference to a straight line
Random
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Can be used to site point-quarters, quadrats, other
sampling methods
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Choosing Between
Censusing Designs
How to choose between sampling layouts?
Depends on experimental question
Gradients
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Probably best to use a transect
Ensures comparability
Relatively uniform sampling area
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Random probably best – if done frequently enough, get
equal representation of areas included
Grid may be useful when need to uniformly sample area
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Surveying Design
Need to equally capture / census entire
community (or subset) to be studied
Be consistent
Have equal sampling effort in different areas
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Time, area, quantity sampled
Appropriately represent area studied
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Equally sample disparate constituent areas
Random vs. orderly (grid, transect)?
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Surveying Techniques
In short: Any viable form of collecting or sampling
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Need to be sited at a level appropriate to the question
Examples:
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Point-Quarter
• Proximity to a central point within a cross
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Quadrat
• Sampling within a small area
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Pitfall traps
Beating Sheets
Mist netting
Seining
Etc…
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Basics of
Measuring Biological Diversity
What is a community?
What is biodiversity & how to survey it?
Pseudoreplication
Applying these techniques
Assignment for next time
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Purposes of Replication
Why replicate?
Controls for random or stochastic error
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E.g., untested independent factors may otherwise
determine the outcome of the experiment
Increases the precision of the test
Increases the generalizability of the test
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If you test across many sites – you can safely
generalize to many others
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Some Definitions
Replicate = Sample
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Maximize these in your experimental design
Greatest number possible, given logistical limitations
If you are a professional, use a power analysis
Subsample = Pseudoreplicate
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Only true if the subsamples are incorrectly treated as
true replicates for statistical analysis
Subsamples: useful to increase the accuracy of the data
estimate for that replicate
A special type of statistical analysis are therefore
possible
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Pseudoreplication - Defined
Incorrect “replication”
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Replicating samples, not treatments
Replicates are not independent
Problem is that it violates a key assumption of
statistical analysis:
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Independence of replicates
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•
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•
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Increasing precision of studies if independent
Approximates “truth” better if independent
Accounts for normal random error
Allows us to set α and keep it constant
All of these are violated if pseudoreplicated
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Prevalence of
Pseudoreplication
48% of all studies had pseudoreplication
(Hurlbert,
S.H., 1984. Pseudoreplication and the design of ecological field
experiments. Ecological Monographs 54:187-211)
71% of studies using ANOVA (a common
statistical test) had design errors (Underwood. 1981.
Techniques of analysis of variance in experimental marine biology and
ecology. Ann. Rev. Oceanogr. Mar. Biol.19: 513-605)
Particularly acute in studies with logistical
problems
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Rare animals
Transportation or financial limitations
Many that are in print!
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Examples
Many samples from a single site
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These are actually subsamples
Only a single sample for each treatment condition
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These are actually replicates, but cannot do statistics
on a sample size of one
Single samples from a single site, but replicated
in time
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Would be true samples if the experimental question is
time-dependent
If not, it is pseudoreplication
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Pseudoreplication Example
Treatment A
Treatment B
Site 1
Site 3
Site 2
Site 4
 Question – What is
the affect of
treatments A & B?
 Pseudoreplication
= treating stars of
the same color as
replicates
 Replication =
include only a single
star of each color,
or their average
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Controlling Pseudoreplication I
Know your question

Question determines whether design includes
pseudoreplication
• Taxonomic level
• Ecological hierarchy level
Clearly define your independent and dependent
variables
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Controlling Pseudoreplication II
What constitutes a unit of data?
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Plant branch? Individual? Population? Etc.?
Identify what is the unit of replication
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Individual? Population? Community? Site?
Replicate accordingly – sites are often the level of
replication for our projects
Randomize your sampling design
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Helps to decrease sampling errors
Increases accuracy of estimation
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Basics of
Measuring Biological Diversity
What is a community?
What is biodiversity & how to survey it?
Pseudoreplication
Applying these techniques
Assignment for next time
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Application of Techniques –
An Exercise
Group up
Design a study, avoiding pseudoreplication
Include visual representations of sampling method
Include:
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Experimental question
Manipulations
Hypotheses (null, alternatives)
Target organisms
Censusing design
Censusing method
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Basics of
Measuring Biological Diversity
What is a community?
What is biodiversity & how to survey it?
Pseudoreplication
Applying these techniques
Assignment for next time
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
Assignment
Project of your own design
Write up a short (2-3 paragraphs) description of
your proposed study in normal scientific prose
Include question and hypotheses (including null
and all alternative hypotheses)
Include sampling design, sampling method
Be specific and thorough
Email to jd363@columbia.edu before the start of
class next week
© 2003 Dr. James A. Danoff-Burg, jd363@columbia.edu
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