- Acknowledgments
- Algebraic Operations on Quantities
- An
- Another Look At Section 109
- Another Look At SectiON - 2
- Another Look At SectiON 1252
- Another Look At SectiON 1253
- Another Look At SectiON 1254
- Another Look At SectiON 128
- Another Look At SectiON 1373
- Another look At SectioN 154
- Another look At SectioN 155
- Another Look At Section 3
- Application Individuals Pairs Residencies
- Applying the Logic of Dimensions
- At
- B nn Mm B N M
- Biological Dimensions
- Box
- Box 101 Deviations Calculated on Four Types of Measurement Scale
- Box 102 Weighted Deviances avdevQ SSQ and GQ Computed from Deviations
- Box 103 Calculation of Variance as a Function of Measurement Frequency
- Box 104 Green Variability at Resolution of i 124 and 8 Units
- Box 105 Red Variability at Resolution of i 124 and 8 Units
- Box 106 Computation of Potential Contact PC
- Box 121 Scope Calculations for Vegetational Reconnaissance of Eccentric Bogs in Maine Davis and Anderson 1991
- Box 1210 Spatial Scope Calculation for a Field Experiment to Discover the Effects of Competitor Density on Water Balance of Desert Shrubs Fonteyn and Mahall 1981
- Box 1211 Scope Calculations for a Predator Exclosure Experiment at Twenty One Sites in Four Inlets on the Pacific Coast Panama
- Box 122 Constructing a Scope Diagram Example Based on Calculations in Box 12 1 Calculate overall scope
- Box 123 Scope Calculations for Dredge and Acoustic Surveys on St Pierre Bank Northwest Atlantic
- Box 124 Calculating the Relative Error from Sample Size and Unit Area
- Box 125 Scope Calculations for a Program to Monitor the Impact of Discharges and Tailings from the Hibernia Drilling Platform on the Benthos of the Outer Grand Bank Newfoundland
- Box 126 Scope Calculations for a Stratified Survey of Infaunal Invertebrate Density in Areas Used by a Large Number of Migratory Shorebirds on White Flat Plymouth Harbor 1975
- Box 127 Scope Calculations for a Laboratory Experiment Ogilvie 2000 to Estimate Mortality Due to Handling and Marking of Fish
- Box 128 Scope Calculation for a Mark Recapture Experiment Hancock 2000 to Estimate Dispersal Rate of Juvenile
- Box 129 Scope Calculation for a Latin Square Design Reported by Snedecor and Cochran 1980
- Box 131 Checking Equations for Dimensional Consistency
- Box 132 Use of Dimensional Homogeneity to Work Out the Units and Biological Interpretation of an Undefined Symbol in an Equation
- Box 133 Food Intake M Calculated from Metabolic Rate E
- Box 134 Metabolic Rate Calculated from Body Mass Following Steps in Table 132
- Box 135 Food Intake Calculated from Body Size
- Box 136 Dimensionless Ratios to Develop an Empirical Scaling Function
- Box 137 Dimensionless Ratios to Develop a Semitheoretical Scaling Function
- Box 81 Calculation of Crude Rate of Recruitment Mortality and Change in Numbers
- Box 82 Calculation of Per Capita Rate of Change at Two Different Temporal Scales
- Box 83 Calculation of Per Capita Rate of Recruitment Mortality and Change in Numbers
- Box 84 Estimation of Instantaneous Per Capita Rate of Change in Numbers Recruitment and Mortality from Successive Points in Time
- Box 85 Instantaneous Rate of Change in Population Numbers Partitioned into Recruitment and Loss
- Box 86 Calculation of the Gradient of a Vector Quantity at Two Points
- Box 91 Sums Calculated According to Rules for Numbers
- Box 93 Calculating the Sum of Scaled Quantities For Equal Units
- C
- Calculations Based on Ideas
- Ensemble Quantities Variability 183 Table 102 Measures of Variability as a Function of Scale
- The Geography and Chronology of Quantities 127 Table 71 comparative Analysis of Geographically Explicit Studies
- The Geography and Chronology of Quantities 131 table 72 criteria in Selecting Mathematical Notation
- Codeviances Covariances and Other Measures
- Comparison of Survey Designs
- Contrasts
- Curls
- Data Equations for the General Linear Model
- DB rB K dB dtH dx
- Defined Concepts and Terms for Review and Future Reference - 2
- Defined Concepts and Termsfor Review and Future Reference
- Definition of a Quantity
- Definition of Scale
- Derivatives - 2
- Deviations
- Dimensional Analysis in Biology
- Dimensional Homogeneity
- Dimensions
- Divergences
- Dr
- Dt
- Dt dt
- Dt dt dN
- Du2 dY2 dZ2 2 dY dZ
- Dx2
- E kWattkg M31321a
- E N Z
- E wi
- Ecology
- Elastic Rescaling
- Elastic Rescaling with Fractal Exponents
- Empirical and Theoretical Scaling Functions
- Ensemble Quantities Weighted Sums
- Equations and Uncertainty The General Linear Model
- Experimental estimate of a Parameter
- Fisherian Experiments
- Fluxes
- From Words to Graphs to Equations
- Further Reading on Dimensions and Measurement Theory
- Generic Recipe for Applying the General Linear Model
- Geographic Attributes in One Dimension
- Geographic Attributes in Two and Three Dimensions
- Goodness of Fit and Hypothesis Testing
- Graphing Scaled Quantities
- Hierarchically Structured Surveys
- Info - 2 3 4 5 6
- Interpreting Models and Their Parameters
- L
- LndevN lnN lnN ln NN
- Logical Rescaling
- M
- Magnitude and Basis of Scaleup in Surveys
- Measurement and Dimension
- MiAi Mi iAi
- Model Based Statistical Analysis
- Monitoring Programs
- N
- Names and Symbols
- Notation - 2
- Overview of Chapter Concepts and Sequence
- Partitioning the Scope
- Patchiness
- Physical and Chemical Dimensions
- Potential Contact
- Preface to First Edition
- Preface to Second Edition
- Procedural Statement
- Production and Erosion of Spatial Variance
- Programs
- Qth
- Quantitative Ecology
- Quantitative Ecology Measurement Models And Scaling Table 131 Rules for checking Dimensional Homogeneity of Equations
- Quantitative Reasoning
- Quantitative Reasoning Using the Principle of Similarity
- Quantitative Reasoning with the Chain Rule
- Reading Equations
- Rescaling Quantities
- Rescaling Via Normalization
- Rigid Rescaling
- Rules for Ratio Scale Units
- Scale Scope and Power Laws
- Scaled Quantities
- Scale Dependent Variance
- Scaling Operators
- Scope Diagrams
- Simple Random Surveys
- Spatial and Temporal Scaling
- Spatial Gradients
- Spatial Gradients from the Density Function
- Spectral Statistics
- Standard Units
- Statistical Analysis
- Stratified Random Surveys
- Sums of Quantities on Nonratio Scales
- Sums of Scaled Quantities
- Synopsis - 2 3 4 5 6 7 8 9 10 11 12 13
- T 2 Ve
- Table 11 Problems with Statistical Practice in Ecology
- Table 12 Research Style in Behavior BEH Population Ecology EcoLP community ecology EcoLc Geophysical Fluid Dynamics JPQ and theoretical ecology TPB
- Table 121 Use of Surveys to Address the Problem of Scale in the experimental Analysis of ecosystems
- Table 133 Symbols for Equality
- Table 134 Generic Recipe for Writing an Equation
- Table 141 Commonly Used Rules for Derivatives of Functions with Units
- Table 142 Generic Recipe for obtaining one Variance from Another Using the Delta Method
- Table 144 operators for Spatial Analysis Panning and Spatial Scaling Rating Coarse Graining Accumulating or Lagging
- Table 73 conventions Used in Expressing Spatial and Temporal Attributes of Quantities
- Table 81 Notation Distinguishing Derived Quantities Based on Measurement from Those Based on Functional Expression
- Table 91 Notation for Taking the Sum of Unitless Numbers
- Temporal Attributes
- The Mean Value of a Quantity
- The Need for Quantitative Reasoning
- The Problem of Scale in Ecology
- The Rise of the Concept of Scale in Ecology
- The Scope of a Measurement
- The Scope of a Set of Measurements
- The Scope of Computational Models
- The Scope of Experiments
- The Scope of Instruments
- The Scope of Integrated Research Programs
- The Scope of Natural Phenomena
- The Scope of Parameters and Equations
- The Scope of Quantities
- The Scope of Surveys
- The Spatial Variance
- The Temporal Variance
- The Total Deviation
- The Use of Equations
- The Utility of Ratio Scale Units
- The Variance
- Time Rate of Change as a Percentage
- Time Rates of Change
- Tools
- Types of Measurement Scale
- Unconventional Units
- Use and Limitations of Dimensions
- Vx
- [Nx
- Variance and
- Variance Functions with the Delta Method
- Verbal Diagrammatic and Formal Expression of Ideas
- Writing Equations
- [b B A
- [b