Prologue |
|
xv | |
Acknowledgments |
|
xix | |
|
|
xxi | |
PART I Foundations |
|
|
Introduction: The Basic Challenge |
|
|
3 | (14) |
|
|
3 | (1) |
|
|
4 | (5) |
|
|
9 | (5) |
|
|
9 | (3) |
|
|
12 | (2) |
|
|
14 | (3) |
|
Techniques for Climate Reconstruction |
|
|
17 | (13) |
|
|
17 | (1) |
|
Direct Quantitative Measurements |
|
|
17 | (1) |
|
Descriptive Accounts of General Environmental Conditions |
|
|
18 | (1) |
|
Surficial Biogeologic Proxy Evidence |
|
|
18 | (2) |
|
Annually Layered Life Forms |
|
|
18 | (1) |
|
Surface Geomorphic Evidence |
|
|
19 | (1) |
|
Conventional Nonisotopic Stratigraphic Analyses of Sedimentary Rock and Ice |
|
|
20 | (3) |
|
|
21 | (1) |
|
Paleobiological Indicators (Fossil Faunal Types and Abundances) |
|
|
22 | (1) |
|
|
23 | (3) |
|
|
23 | (1) |
|
Deuterium and Beryllium in Ice Cores |
|
|
24 | (1) |
|
|
25 | (1) |
|
Strontium and Osmium Isotopes |
|
|
26 | (1) |
|
Nonisotopic Geochemical Methods |
|
|
26 | (1) |
|
|
26 | (1) |
|
Greenhouse Gas Analysis of Trapped Air in Ice Cores |
|
|
27 | (1) |
|
Chemical and Biological Constituents and Dust Layers in Ice Cores |
|
|
27 | (1) |
|
Dating the Proxy Evidence (Geochronometry) |
|
|
27 | (3) |
|
A Survey of Global Paleoclimatic Variations |
|
|
30 | (17) |
|
The Phanerozoic Eon (Past 600 My) |
|
|
31 | (3) |
|
The Cenozoic Era (Past 65 My) |
|
|
34 | (1) |
|
The Plio-Pleistocene (Past 5 My) |
|
|
35 | (2) |
|
Variations during the Last Ice Age: IRD Events |
|
|
37 | (1) |
|
The Last Glacial Maximum (20 ka) |
|
|
38 | (1) |
|
Postglacial Changes: The Past 20 ky |
|
|
39 | (1) |
|
|
40 | (1) |
|
The Generalized Spectrum of Climatic Variance |
|
|
41 | (3) |
|
A Qualitative Discussion of Causes |
|
|
44 | (3) |
|
General Theoretical Considerations |
|
|
47 | (21) |
|
The Fundamental Equations |
|
|
47 | (4) |
|
Time Averaging and Stochastic Forcing |
|
|
51 | (4) |
|
Response Times and Equilibrium |
|
|
55 | (5) |
|
|
60 | (3) |
|
Climatic-Mean Mass and Energy Balance Equations |
|
|
63 | (5) |
|
|
63 | (2) |
|
|
65 | (3) |
|
Special Theoretical Considerations for Paleoclimate: Structuring a Dynamical Approach |
|
|
68 | (16) |
|
A Basic Problem: Noncalculable Levels of Energy and Mass Flow |
|
|
69 | (3) |
|
|
72 | (2) |
|
Natational Simplifications for Resolving Total Climate Variability |
|
|
74 | (2) |
|
A Structured Dynamical Approach |
|
|
76 | (6) |
|
The External Forcing Function, F |
|
|
82 | (2) |
|
Astronomical/Cosmic Forcing |
|
|
82 | (1) |
|
|
82 | (2) |
|
Basic Concepts of Dynamical Systems Analysis: Prototypical Climatic Applications |
|
|
84 | (29) |
|
Local (or Internal) Stability |
|
|
84 | (2) |
|
The Generic Cubic Nonlinearity |
|
|
86 | (1) |
|
Structural (or External) Stability: Elements of Bifurcation Theory |
|
|
87 | (5) |
|
|
92 | (3) |
|
The Two-Variable Phase Plane |
|
|
92 | (3) |
|
A Prototype Two-Variable Model |
|
|
95 | (8) |
|
Sensitivity of Equilibria to Changes in Parameters: Prediction of the Second Kind |
|
|
97 | (2) |
|
|
99 | (4) |
|
The Prototype Two-Variable System as a Stochastic-Dynamical System: Effects of Random Forcing |
|
|
103 | (5) |
|
|
104 | (1) |
|
Structural Stochastic Stability |
|
|
104 | (4) |
|
More Than Two-Variable Systems: Deterministic Chaos |
|
|
108 | (5) |
PART II Physics of the Separate Domains |
|
|
Modeling the Atmosphere and Surface State as Fast-Response Components |
|
|
113 | (33) |
|
The General Circulation Model |
|
|
114 | (1) |
|
Lower Resolution Models: Statistical-Dynamical Models and the Energy Balance Model |
|
|
115 | (4) |
|
|
116 | (1) |
|
|
117 | (2) |
|
The Complete Time-Average State |
|
|
119 | (1) |
|
|
119 | (2) |
|
Radiative-Convective Models |
|
|
119 | (1) |
|
Vertically Averaged Models (the EBM) |
|
|
120 | (1) |
|
The Basic Energy Balance Model |
|
|
121 | (2) |
|
Equilibria and Dynamical Properties of the Zero-Dimensional (Global Average) EBM |
|
|
123 | (4) |
|
|
127 | (2) |
|
The One-Dimensional (Latitude-Dependent) EBM |
|
|
129 | (3) |
|
Transitivity Properties of the Atmospheric and Surface Climatic State: Inferences from a GCM |
|
|
132 | (2) |
|
Closure Relationships Based on GCM Sensitivity Experiments |
|
|
134 | (5) |
|
Surface Temperature Sensitivity |
|
|
135 | (4) |
|
Formal Feedback Analysis of the Fast-Response Equilibrium State |
|
|
139 | (4) |
|
Paleoclimatic Simulations |
|
|
143 | (3) |
|
The Slow-Response ``Control'' Variables: An Overview |
|
|
146 | (12) |
|
|
147 | (2) |
|
|
147 | (1) |
|
|
148 | (1) |
|
Greenhouse Gases: Carbon Dioxide |
|
|
149 | (2) |
|
The Thermohaline Ocean State |
|
|
151 | (3) |
|
A Three-Dimensional Phase-Space Trajectory |
|
|
154 | (4) |
|
Global Dynamics of the Ice Sheets |
|
|
158 | (23) |
|
Basic Equations and Boundary Conditions |
|
|
158 | (5) |
|
|
163 | (3) |
|
The Vertically Integrated Ice-Sheet Model |
|
|
166 | (2) |
|
|
168 | (1) |
|
Basal Temperature and Melting |
|
|
169 | (2) |
|
Deformable Basal Regolith |
|
|
171 | (1) |
|
Ice Streams and Ice Shelves |
|
|
172 | (1) |
|
|
172 | (1) |
|
Sea Level Change and the Ice Sheets: The Depression-Calving Hypothesis |
|
|
173 | (3) |
|
Paleoclimatic Applications of the Vertically Integrated Model |
|
|
176 | (1) |
|
A Global Dynamical Equation for Ice Mass |
|
|
177 | (4) |
|
Dynamics of Atmospheric Co2 |
|
|
181 | (25) |
|
|
183 | (9) |
|
Qualitative Analysis of the Factors Affecting Q↑ |
|
|
185 | (4) |
|
Mathematical Formulation of the Ocean Carbon Balance |
|
|
189 | (2) |
|
A Parameterization for Q↑ |
|
|
191 | (1) |
|
Terrestrial Organic Carbon Exchange, W↑G |
|
|
192 | (4) |
|
|
194 | (1) |
|
|
194 | (1) |
|
|
194 | (1) |
|
Long-Term Terrestrial Organic Burial, W↓G |
|
|
195 | (1) |
|
The Global Mass Balance of Organic Carbon |
|
|
196 | (1) |
|
Outgassing Processes, V&uar; |
|
|
196 | (1) |
|
Rock Weathering Downdraw, W↓ |
|
|
197 | (3) |
|
A Global Dynamical Equation for Atmospheric CO2 |
|
|
200 | (1) |
|
Modeling the Tectonically Forced CO2 Variations, μ: Long-Term Rock Processes |
|
|
200 | (5) |
|
The Long-Term Oceanic Carbon Balance |
|
|
201 | (1) |
|
|
201 | (4) |
|
Overview of the Full Global Carbon Cycle |
|
|
205 | (1) |
|
Simplified Dynamics of the Thermohaline Ocean State |
|
|
206 | (29) |
|
|
208 | (2) |
|
|
209 | (1) |
|
A Prototype Four-Box Ocean Model |
|
|
210 | (1) |
|
The Wind-Driven, Local-Convective, and Baroclinic Eddy Circulations |
|
|
211 | (5) |
|
The Wind-Driven Circulation: Gyres and Upwelling |
|
|
211 | (4) |
|
Local Convective Overturnings and Baroclinic Eddy Circulations |
|
|
215 | (1) |
|
The Two-Box Thermohaline Circulation Model: Possible Bimodality of the Ocean State |
|
|
216 | (10) |
|
|
216 | (3) |
|
A Simple Model of the TH Circulation |
|
|
219 | (2) |
|
|
221 | (1) |
|
Dynamical Analysis of the Two-Box Model |
|
|
222 | (4) |
|
Integral Equations for the Deep Ocean State |
|
|
226 | (3) |
|
The Deep Ocean Temperature |
|
|
226 | (2) |
|
|
228 | (1) |
|
Global Dynamical Equations for the Thermohaline State: &thetas; and Sϕ |
|
|
229 | (6) |
PART III Unified Dynamical Theory |
|
|
The Coupled Fast- and Slow-Response Variables as a Global Dynamical System: Outline of a Theory of Paleoclimatic Variation |
|
|
235 | (12) |
|
The Unified Model: A Paleoclimate Dynamics Model |
|
|
236 | (2) |
|
Feedback-Loop Representation |
|
|
238 | (3) |
|
Elimination of the Fast-Response Variables: The Center Manifold |
|
|
241 | (1) |
|
Sources of Instability: The Dissipative Rate Constants |
|
|
242 | (2) |
|
Formal Separation into Tectonic Equilibrium and Departure Equations |
|
|
244 | (3) |
|
Forced Evolution of the Tectonic-Mean Climatic State |
|
|
247 | (15) |
|
Effects of Changing Solar Luminosity and Rotation Rate |
|
|
248 | (1) |
|
|
248 | (1) |
|
|
249 | (1) |
|
General Effects of Changing Land-Ocean Distribution and Topography (h) |
|
|
249 | (4) |
|
Effects of Long-Term Variations of Volcanic and Cosmic Dust and Bolides |
|
|
253 | (2) |
|
Multimillion-Year Evolution of CO2 |
|
|
255 | (5) |
|
|
255 | (4) |
|
First-Order Response of Global Ice Mass and Deep Ocean Temperature to Tectonic CO2 Variations |
|
|
259 | (1) |
|
Possible Role of Salinity-Driven Instability of the Tectonic-Mean State |
|
|
260 | (1) |
|
Snapshot Atmospheric and Surficial Equilibrium Responses to Prescribed y-Fields Using GCMs |
|
|
261 | (1) |
|
The Late Cenozoic Ice-Age Departures: An Overview of Previous Ideas and Models |
|
|
262 | (16) |
|
General Review: Forced vs. Free Models |
|
|
262 | (4) |
|
Models in Which Earth-Orbital Forcing Is Necessary |
|
|
263 | (2) |
|
Instability-Driven (Auto-oscillatory) Models |
|
|
265 | (1) |
|
Hierarchical Classification in Terms of Increasing Physical Complexity |
|
|
266 | (1) |
|
Forced Ice-Line Models (Box 1, Fig. 14-1) |
|
|
266 | (1) |
|
|
267 | (4) |
|
The Simplest Forms (Box 2) |
|
|
267 | (1) |
|
More Physically Based Ice-Sheet Models: First Applications |
|
|
268 | (1) |
|
Direct Bedrock Effects (Box 3) |
|
|
269 | (1) |
|
Bedrock-Calving Effects (Box 4) |
|
|
270 | (1) |
|
Basal Meltwater and Sliding (Box 5) |
|
|
270 | (1) |
|
Ice Streams and Ice Shelf Effects |
|
|
270 | (1) |
|
Continental Ice-Sheet Movement (Box 6) |
|
|
270 | (1) |
|
Three-Dimensional (λ, ϕ, hI) Ice-Sheet Models |
|
|
271 | (1) |
|
The Need for Enhancement of the Coupled Ice-Sheet/Atmospheric Climate Models |
|
|
271 | (1) |
|
Ice-Sheet Variables Coupled with Additional Slow-Response Variables |
|
|
272 | (2) |
|
Regolith Mass, mr (Box 7) |
|
|
272 | (1) |
|
The Deep Ocean Temperature &thetas; (Box 8) |
|
|
273 | (1) |
|
The Salinity Gradient Sϕ (Box 9) |
|
|
274 | (1) |
|
Carbon Dioxide, μ (Box 10) |
|
|
274 | (2) |
|
|
274 | (1) |
|
Quantitative Revival of the Carbon Dioxide Hypothesis |
|
|
275 | (1) |
|
|
276 | (2) |
|
A Global Theory of the Late Cenozoic Ice Ages: Glacial Onset and Oscillation |
|
|
278 | (23) |
|
Specialization of the Model |
|
|
279 | (3) |
|
The 100-ky Oscillation as a Free Response: Determination of the Adjustable Parameters |
|
|
282 | (4) |
|
|
283 | (1) |
|
Internal Stability Analysis to Locate a Free 100-ky-Period Oscillation in Parameter Spece |
|
|
284 | (2) |
|
Milankovitch Forcing of the Free Oscillation |
|
|
286 | (2) |
|
Structural Stability as a Function of the Tectonic CO2 Level |
|
|
288 | (2) |
|
|
290 | (5) |
|
|
295 | (2) |
|
Robustness and Sensitivity |
|
|
297 | (1) |
|
Summary: A Revival of the CO2 Theory of the Ice Ages |
|
|
298 | (3) |
|
Millennial-Scale Variations |
|
|
301 | (13) |
|
Theory of Heinrich Oscillations |
|
|
303 | (8) |
|
The ``Binge-Purge'' Model |
|
|
304 | (1) |
|
Scale Analysis of the Factors Influencing TB |
|
|
305 | (1) |
|
|
306 | (2) |
|
Dynamical Analysis: A Simple Heinrich-Scale Oscillator |
|
|
308 | (3) |
|
Dynamics of the D-O Scale Oscillations |
|
|
311 | (3) |
|
Closing Thoughts: Epilogue |
|
|
314 | (7) |
|
Toward a More Complete Theory |
|
|
314 | (4) |
|
Epilogue: The ``Ice Ages'' and ``Physics'' |
|
|
318 | (3) |
Bibliography |
|
321 | (22) |
Index |
|
343 | (8) |
List of Volumes in the Series |
|
351 | |