Least Squares, Fish Ecology and the Chain Rule (UMAP)

This module relates least squares, fish ecology and the chain rule. The use of least-squares techniques to fit model parametes to the data is emphasized and is discussed in detail in an appendix that may be used independently as an introduction to the concepts and practice of the least-squares method.

Table of Contents:

INTRODUCTION

THE ROLE OF EXPERIMENTATION AND THE EFFECTIVENESS OF MATHEMATICAL MODELING

RATION VS. AVERAGE INTENSITY OF THE FOOD SUPPLY

EFFECTS OF PATCHINESS IN THE FOOD SUPPLY

COMBINING THE TWO MODELS

APPENDIX A: LEAST-SQUARES METHODS, GOOD AND BAD

APPENDIX B: PROPERTIES OF IVLEV'S INDEX OF AGGREGATION

REFERENCES

EXERCISES

ADDITIONAL EXERCISES TO ACCOMPANY APPENDIX A

SOLUTIONS TO EXERCISES