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Product No. 99768 Supplementary Print Price: FREE with membership
 

The Species - Area Relations (UMAP)

Kevin Mitchell and James Ryan


Mathematics Topic:
Elementary Functions
Application Areas:
Ecology, biology
Prerequisites:
Logarithms; linear regression

| ©1998 by COMAP, Inc. | The UMAP Journal 19.2 | 32 pages |


This module examines the fundamental ecological relationship that as the area A of a region increases, so does the number of different species S encountered. Using logarithms, it is shown how a model curve can be fit to species-area data sets. Various interpretations and uses of the constants c and z are presented. It is also shown how the model has been used by researchers to describe species loss resulting from deforestation. Real data sets are used extensively throughout the unit. Descriptions of students field projects are included.

Table of Contents:

INTRODUCTION
Areas Large
... and Small

SPECIES - AREA CURVES
The Power Function Model
Fitting a Power Curve to the Data
Scale Dependene of c
Caution: Competing Models and Methods

THE PARAMETERS z AND c
Interpreting z
Interpreting c

DEFORESTATION AND SPECIES - AREA RELATIONS

FIELD PROJECTS USING NESTED PLOTS
Material and Methods
Analysis of Data

SELECTED ANSWERS

REFERENCES

ABOUT THE AUTHORS