Species richness The number of species is an important biological variable that scientists try to quantify.

Slides:



Advertisements
Similar presentations
Null models in Ecology Diane Srivastava Sept 2010.
Advertisements

Diversity indices BCB242 F M Weitz. Introduction  Measurement of species diversity   Species richness vs. species diversity   Can we know the exact.
Null models and observed patterns of native and exotic diversity: Does native richness repel invasion? Rebecca L. Brown, 1,2 Jason D. Fridley, 1 and John.
Chapter 8 Estimation: Additional Topics
Detecting Temporal Trends In Species Assemblages With Randomization Procedures And Hierarchical Models Nick Gotelli University of Vermont USA.
An Overview of Today’s Class
Chap 9-1 Statistics for Business and Economics, 6e © 2007 Pearson Education, Inc. Chapter 9 Estimation: Additional Topics Statistics for Business and Economics.
Communities: Quantifying community structure. Mary E. Allen Hartwick College.
Timed. Transects Statistics indicate that overall species Richness varies only as a function of method and that there is no difference between sites.
9/17/071 Community Properties Reading assignment: Chapter 9 in GSF.
Chapter 11: Inference for Distributions
Lecture 19 Transformations, Predictions after Transformations Other diagnostic tools: Residual plot for nonconstant variance, histogram to check normality.
Diversity and Distribution of Species
Confidence Intervals: Estimating Population Mean
Rarefaction and Beta Diversity James A. Danoff-Burg Dept. Ecol., Evol., & Envir. Biol. Columbia University.
In SAS March 11, Mariya Cheryomina.  power (π) + β = 1  β = (1- π) = probability of accepting false Ho (ie. reject true Ha) - probability of.
1/49 EF 507 QUANTITATIVE METHODS FOR ECONOMICS AND FINANCE FALL 2008 Chapter 9 Estimation: Additional Topics.
Tests of significance: The basics BPS chapter 15 © 2006 W.H. Freeman and Company.
Community Attributes Kenneth M. Klemow, Ph.D. Wilkes University Kenneth M. Klemow, Ph.D. Wilkes University.
Calculating Diversity Class 3 Presentation 2. Outline Lecture Class room exercise to calculate diversity indices.
Chapter 7 Estimation: Single Population
Species Richness, Simpson’s, and Shannon-Weaver…oh my…
Chapter 17 Community Structure A community has attributes that differ from those of its components –Number of species –Relative abundance of species –Nature.
Copyright © 2010 Pearson Education, Inc. Slide
BPS - 3rd Ed. Chapter 211 Inference for Regression.
MANAGEMENT AND ANALYSIS OF WILDLIFE BIOLOGY DATA Bret A. Collier 1 and T. Wayne Schwertner 2 1 Institute of Renewable Natural Resources, Texas A&M University,
Population All members of a set which have a given characteristic. Population Data Data associated with a certain population. Population Parameter A measure.
Measuring Diversity.
Community Ecology BDC321 Mark J Gibbons, Room 4.102, BCB Department, UWC Tel: Image acknowledgements –
From the Data at Hand to the World at Large
Brian Macpherson Ph.D, Professor of Statistics, University of Manitoba Tom Bingham Statistician, The Boeing Company.
Inference for Regression Simple Linear Regression IPS Chapter 10.1 © 2009 W.H. Freeman and Company.
PCB 3043L - General Ecology Data Analysis. OUTLINE Organizing an ecological study Basic sampling terminology Statistical analysis of data –Why use statistics?
The Completely Randomized Design (§8.3)
Lecture 16 Section 8.1 Objectives: Testing Statistical Hypotheses − Stating hypotheses statements − Type I and II errors − Conducting a hypothesis test.
Limits to Statistical Theory Bootstrap analysis ESM April 2006.
Understanding Your Data Set Statistics are used to describe data sets Gives us a metric in place of a graph What are some types of statistics used to describe.
CHAPTER SEVEN ESTIMATION. 7.1 A Point Estimate: A point estimate of some population parameter is a single value of a statistic (parameter space). For.
Biodiversity and Measuring Abundance Lab Manual Chapters 3, 7, and 13.
Estimating a Population Mean:  Known
PCB 3043L - General Ecology Data Analysis. PCB 3043L - General Ecology Data Analysis.
Biodiversity. Average Size Measure all trees in a transect or quadrat. Produce a size-frequency histogram to show the size distribution. Can also calculate.
PCB 3043L - General Ecology Data Analysis.
Measurement of Biological Diversity: Shannon Diversity Index and Shannon’s Equitability Comparing the diversity found in two or more habitats.
Relative-Abundance Patterns
Coral Reef Biodiversity
1 Chapter 5 – Density estimation based on distances The distance measures were originally developed as an alternative to quadrat sampling for estimating.
1 Probability and Statistics Confidence Intervals.
 1 Species Richness 5.19 UF Community-level Studies Many community-level studies collect occupancy-type data (species lists). Imperfect detection.
Identify techniques for estimating various populations (quadrats, transects, mark- recapture) Understand the carrying capacity of ecosystems; factors.
Unit 3 Investigative Biology. SQA Success Criteria  Explain the difference between random sampling, systematic sampling and stratified sampling.
Monitoring and Estimating Species Richness Paul F. Doherty, Jr. Fishery and Wildlife Biology Department Colorado State University Fort Collins, CO.
BPS - 5th Ed. Chapter 231 Inference for Regression.
Statistical Concepts Basic Principles An Overview of Today’s Class What: Inductive inference on characterizing a population Why : How will doing this allow.
Introducing DOTUR, a Computer Program for Defining Operational Taxonomic Units and Estimating Species Richness Patric D. Schloss and Jo Handelsman Department.
WELCOME TO BIOSTATISTICS! WELCOME TO BIOSTATISTICS! Course content.
PCB 3043L - General Ecology Data Analysis Organizing an ecological study What is the aim of the study? What is the main question being asked? What are.
Some Wildlife Census Techniques
Biodiversity.
Chapter 9 Estimation: Additional Topics
Quantifying Scale and Pattern Lecture 7 February 15, 2005
PCB 3043L - General Ecology Data Analysis.
Community Structure & Function
Estimating Population Size
Conclusion & Discussion
Warmup To check the accuracy of a scale, a weight is weighed repeatedly. The scale readings are normally distributed with a standard deviation of
Basic Practice of Statistics - 3rd Edition Inference for Regression
CHAPTER – 1.2 UNCERTAINTIES IN MEASUREMENTS.
Chapter 9 Estimation: Additional Topics
CHAPTER – 1.2 UNCERTAINTIES IN MEASUREMENTS.
Presentation transcript:

Species richness The number of species is an important biological variable that scientists try to quantify

Species diversity The number of species weighted by their abundance. For example, a forest with 10 tree species, each with ten individuals, is generally considered more diverse than a forest with 10 tree species, one of which is represented by 91 individuals with the other 9 species only represented by one individual each.

To estimate species richness one must first sample an area(s)

Sampling is measuring a small part of an entity assuming that this small part is representative of the larger entity

Ways to diminish biases in sampling Use multiple sampling techniques Sample at random locations (each location has an equal opportunity of being sampled--in other words, sampling should not be biased in favor of some locations and against other locations) Sample repeatedly

In addition to sampling correctly, it is important to recognize that not all species are equally detectable

In addition, species may vary in their detectability across habitat types

Generally, the number of species detected (observed) through sampling, is not the best estimate of the species richness of an area

Ways to look at patterns and estimate diversity after sampling is completed Diversity indices Accumulation curves/Rarefaction curves Using species abundance distribution data

Shannon Diversity Index Also known as the Shannon-Wiener or Shannon- Weaver. This index uses species abundances to calculate an index of diversity H = -Σ pi ln(pi) pi= proportion of the ith species

Imagine the following are the abundances of individuals in a community of frogs detected by a biologist Species 1 = 15 Species 2 = 10 Species 3 = 3 Species 4 = 1

H = -Σ pi ln(pi) = number of individuals in the community p1 = 15/29, p2 = 10/29, p3=3/29, p4=1/29 H = -Σ (0.52(ln0.52)+(0.34(ln0.34)+(0.10(ln0.10) (ln0.03) = = diversity index, which we compare to other, similarly calculated diversity indices if we want to compare the diversities of different communities

Assumption of Shannon Index All species are equally detectable This assumption may be more true for some taxonomic groups than others. In general, for mobile organisms, the Shannon Index is not a strong way to estimate diversity

Accumulation curve—”records the total number of species revealed, during the process of data collection, as additional individuals (or sample units) are added to the pool of all previously observed or collected individuals or samples” Gotelli, N.J. and R. K. Colwell Ecology Letters 4:

Braulio Carillo

Tabanid fly

Tabanid fly species accumulation curves for La Selva and 1070 m in Braulio Carillo A Report on the Tabanidae of La Selva Biological Station and 1070m in Braulio Carrillo National Park Taxonomic Collaborator: John F. Burger, Department of Zoology, Spaulding Hall University of New Hampshire, Durham, New Hampshire USA. Page author: John T. Longino, The Evergreen State College, Olympia WA USA

Accumulation curves show differences in species richness, given the number of individuals detected When these curves reach an asymptote, sampling may be reasonably complete

Rarefaction curves are produced by “repeatedly re-sampling the pool of N individuals or N samples, at random, plotting the average number of species represented by 1, 2,…N individuals or samples. Sampling is generally done without replacement”

Rarefaction curves represent the statistical expectation for the corresponding accumulation curve

Black line is accumulation curve, red line is rarefaction curve, dashed lines are confidence Intervals. Rarefaction curve is based on 100 samples. Data are for bats at site in Malaysia.

Williams et al Variation in native bee faunas and its implications for detecting community change. Ecology and Society 5:7

If one bases rarefaction curves on numbers of samples versus individuals, one needs to be careful If the density of individuals differs among samples, results will be misleading

From Gotelli and Colwell Second growth forest is denser, greater no. of individuals, so rarefying with samples gives mis- leading result that second growth forest is more species-rich. Rarefying with individuals controls for density differences. Because each sample from second growth forest has more individuals than each sample from old growth forest, the samples for the two types of forest are not directly comparable.

Another technique for comparing species richness Use program Specrich, available at pwrc.usgs.gov/software/specrich.html Patuxent Wildlife Research Center website

Community ACommunity B No of spp. detected with one individual6030 No of spp. detected with two individuals2520 No of spp. detected with three individuals1020 No of spp. detected with four individuals215 No of spp. detected with five individuals315 Which community do you think has a greater species richness?

Species abundance distribution data (as presented in the previous slide) are used to estimate species richness in this method.

Estimated species richness (interpolated N) Standard error of estimate Range of estimate Community A Community B

Characteristics of particular taxonomic or ecological groups that are more likely to be more species-rich than others? Characteristics of particular environments that are more likely to be more species-rich than others?

ControlIslandPlantation Planting design-- In islands or plantations?

San Gabriel, April 2007

San Gabriel March 2006

Loma Linda March 2006