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Earth Systems Data and Models
Andrew Gettelman
Richard B. Rood
Demystifying
Climate
Models
A Users Guide to Earth System Models
Earth Systems Data and Models
Volume 2
Series editors
Bernd Blasius, Carl von Ossietzky University Oldenburg, Oldenburg, Germany
William Lahoz, NILU—Norwegian Institute for Air Research, Kjeller, Norway
Dimitri P. Solomatine, UNESCO—IHE Institute for Water Education, Delft,
The Netherlands
Aims and Scope
The book series Earth Systems Data and Models publishes state-of-the-art research
and technologies aimed at understanding processes and interactions in the earth
system. A special emphasis is given to theory, methods, and tools used in earth,
planetary and environmental sciences for: modeling, observation and analysis; data
generation, assimilation and visualization; forecasting and simulation; and
optimization. Topics in the series include but are not limited to: numerical, data-
driven and agent-based modeling of the earth system; uncertainty analysis of models;
geodynamic simulations, climate change, weather forecasting, hydroinformatics,
and complex ecological models; model evaluation for decision-making processes
and other earth science applications; and remote sensing and GIS technology.
The series publishes monographs, edited volumes and selected conference
proceedings addressing an interdisciplinary audience, which not only includes
geologists, hydrologists, meteorologists, chemists, biologists and ecologists but
also physicists, engineers and applied mathematicians, as well as policy makers
who use model outputs as the basis of decision-making processes.
More information about this series at http://www.springer.com/series/10525
Andrew Gettelman • Richard B. Rood
Demystifying Climate
Models
A Users Guide to Earth System Models
Andrew Gettelman
National Center for Atmospheric Research
Boulder
USA
Richard B. Rood
Climate and Space Sciences and Engineering
University of Michigan
Ann Arbor
USA
ISSN 2364-5830 ISSN 2364-5849 (electronic)
Earth Systems Data and Models
ISBN 978-3-662-48957-4 ISBN 978-3-662-48959-8 (eBook)
DOI 10.1007/978-3-662-48959-8
Library of Congress Control Number: 2015958748
© The Editor(s) (if applicable) and The Author(s) 2016. This book is published open access.
Open Access This book is distributed under the terms of the Creative Commons Attribution-
Noncommercial 2.5 License (http://creativecommons.org/licenses/by-nc/2.5/) which permits any
noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and
source are credited.
The images or other third party material in this chapter are included in the work’s Creative Commons
license, unless indicated otherwise in the credit line; if such material is not included in the work’s
Creative Commons license and the respective action is not permitted by statutory regulation, users will
need to obtain permission from the license holder to duplicate, adapt or reproduce the material.
This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part
of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations,
recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission
or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar
methodology now known or hereafter developed.
The use of general descriptive names, registered names, trademarks, service marks, etc. in this publi-
cation does not imply, even in the absence of a specific statement, that such names are exempt from the
relevant protective laws and regulations and therefore free for general use.
The publisher, the authors and the editors are safe to assume that the advice and information in this
book are believed to be true and accurate at the date of publication. Neither the publisher nor the
authors or the editors give a warranty, express or implied, with respect to the material contained herein or
for any errors or omissions that may have been made.
Printed on acid-free paper
This Springer imprint is published by SpringerNature
The registered company is Springer-Verlag GmbH Berlin Heidelberg
Acknowledgments
Amy Marks provided very careful and thorough edit, as well as numerous helpful
suggestions. Cheryl Craig, Teresa Foster, Andrew Dolan, and Galia Guentchev
contributed their time to reading through drafts and providing a needed reality
check. Prof. Reto Knutti helped this book take shape while Andrew Gettelman was
on sabbatical at ETH in Zurich. David Lawrence shared critical insights and
PowerPoint figures on terrestrial systems. Thanks also to Markus Jochum for
straightening us out on explaining how the ocean works. Jan Sedlacek,
ETH-Zürich, helped with figures in Chap. 11 (especially Fig. 11.6).
Mike Moran and David Edwards of the National Center for Atmospheric
Research provided financial support. Lawrence Buja and the National Center for
Atmospheric Research hosted Richard Rood’s visitor status. The National Center
for Atmospheric Research is funded by the U.S. National Science Foundation.
We thank the staff and students of the University of Michigan’s Climate Center
for reviews of the manuscript: Samantha Basile, William Baule, Matt Bishop, Laura
Briley, Daniel Brown, Kimberly Channell, Omar Gates, and Elizabeth Gibbons.
Richard Rood thanks the students in his classes on climate change problem-solving
at the University of Michigan and acknowledges in particular the project work of:
James Arnott, Christopher Curtis, Kevin Kacan, Kazuki Ito, Benjamin Lowden,
Sabrina Shuman, Kelsey Stadnikia, Anthony Torres, Zifan Yang.
Richard Rood acknowledges the support of the University of Michigan and the
Graham Sustainability Institute, and grants from the National Oceanographic and
Atmospheric Administration (Great Lakes Sciences and Assessments Center
(GLISA)—NOAA Climate Program Office NA10OAR4310213) and the
Department of the Interior, National Park Service (Cooperative Agreement
P14AC00898).
Francesca Gettelman exhibited nearly unlimited patience with some late nights.
v
Contents
Part I Basic Principles and the Problem of Climate Forecasts
1 Key Concepts in Climate Modeling . . . . . . . . . . . . . . . . . . . . . . . . 3
1.1 What Is Climate? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.2 What Is a Model? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.3 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.3.1 Model Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.3.2 Scenario Uncertainty. . . . . . . . . . . . . . . . . . . . . . . . . 10
1.3.3 Initial Condition Uncertainty . . . . . . . . . . . . . . . . . . . 11
1.3.4 Total Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2 Components of the Climate System . . . . . . . . . . . . . . . . . . . . . . . . 13
2.1 Components of the Earth System . . . . . . . . . . . . . . . . . . . . . . 13
2.1.1 The Atmosphere. . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.1.2 The Ocean and Sea Ice . . . . . . . . . . . . . . . . . . . . . . . 17
2.1.3 Terrestrial Systems . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.2 Timescales and Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
3 Climate Change and Global Warming . . . . . . . . . . . . . . . . . . . . . 23
3.1 Coupling of the Pieces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
3.2 Forcing the Climate System. . . . . . . . . . . . . . . . . . . . . . . . . . 26
3.3 Climate History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
3.4 Understanding Where the Energy Goes. . . . . . . . . . . . . . . . . . 30
3.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
4 Essence of a Climate Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
4.1 Scientific Principles in Climate Models . . . . . . . . . . . . . . . . . . 38
4.2 Basic Formulation and Constraints . . . . . . . . . . . . . . . . . . . . . 41
4.2.1 Finite Pieces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
4.2.2 Processes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
vii
4.2.3 Marching Forward in Time . . . . . . . . . . . . . . . . . . . . 49
4.2.4 Examples of Finite Element Models . . . . . . . . . . . . . . 50
4.3 Coupled Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
4.4 A Brief History of Climate Models. . . . . . . . . . . . . . . . . . . . . 52
4.5 Computational Aspects of Climate Modeling . . . . . . . . . . . . . . 53
4.5.1 The Computer Program. . . . . . . . . . . . . . . . . . . . . . . 53
4.5.2 Running a Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Part II Model Mechanics
5 Simulating the Atmosphere. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
5.1 Role of the Atmosphere in Climate . . . . . . . . . . . . . . . . . . . . 62
5.2 Types of Atmospheric Models . . . . . . . . . . . . . . . . . . . . . . . . 66
5.3 General Circulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
5.4 Parts of an Atmosphere Model. . . . . . . . . . . . . . . . . . . . . . . . 71
5.4.1 Clouds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
5.4.2 Radiative Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
5.4.3 Chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
5.5 Weather Models Versus Climate Models. . . . . . . . . . . . . . . . . 78
5.6 Challenges for Atmospheric Models . . . . . . . . . . . . . . . . . . . . 79
5.6.1 Uncertain and Unknown Processes . . . . . . . . . . . . . . . 79
5.6.2 Scales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
5.6.3 Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
5.6.4 Cloud Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
5.7 Applications: Impacts of Tropical Cyclones . . . . . . . . . . . . . . . 83
5.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
6 Simulating the Ocean and Sea Ice. . . . . . . . . . . . . . . . . . . . . . . . . 87
6.1 Understanding the Ocean . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
6.1.1 Structure of the Ocean . . . . . . . . . . . . . . . . . . . . . . . 88
6.1.2 Forcing of the Ocean . . . . . . . . . . . . . . . . . . . . . . . . 89
6.2 “Limited” Ocean Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
6.3 Ocean General Circulation Models . . . . . . . . . . . . . . . . . . . . . 92
6.3.1 Topography and Grids . . . . . . . . . . . . . . . . . . . . . . . 92
6.3.2 Deep Ocean. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
6.3.3 Eddies in the Ocean . . . . . . . . . . . . . . . . . . . . . . . . . 96
6.3.4 Surface Ocean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
6.3.5 Structure of an Ocean Model . . . . . . . . . . . . . . . . . . . 100
6.3.6 Ocean Versus Atmosphere Models . . . . . . . . . . . . . . . 101
6.4 Sea-Ice Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
6.5 The Ocean Carbon Cycle . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
6.6 Challenges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
6.6.1 Challenges in Ocean Modeling. . . . . . . . . . . . . . . . . . 105
6.6.2 Challenges in Sea Ice Modeling . . . . . . . . . . . . . . . . . 105
viii Contents
6.7 Applications: Sea-Level Rise, Norfolk, Virginia . . . . . . . . . . . . 106
6.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107
7 Simulating Terrestrial Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
7.1 Role of the Land Surface in Climate. . . . . . . . . . . . . . . . . . . . 109
7.1.1 Precipitation and the Water Cycle. . . . . . . . . . . . . . . . 110
7.1.2 Vegetation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
7.1.3 Ice and Snow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
7.1.4 Human Impacts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112
7.2 Building a Land Surface Simulation . . . . . . . . . . . . . . . . . . . . 113
7.2.1 Evolution of a Terrestrial System Model . . . . . . . . . . . 113
7.2.2 Biogeophysics: Surface Fluxes and Heat . . . . . . . . . . . 115
7.2.3 Biogeophysics: Hydrology. . . . . . . . . . . . . . . . . . . . . 116
7.2.4 Ecosystem Dynamics (Vegetation
and Land Cover/Use Change) . . . . . . . . . . . . . . . . . . 118
7.2.5 Summary: Structure of a Land Model . . . . . . . . . . . . . 120
7.3 Biogeochemistry: Carbon and Other Nutrient Cycles . . . . . . . . 121
7.4 Land-Atmosphere Interactions . . . . . . . . . . . . . . . . . . . . . . . . 125
7.5 Land Ice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
7.6 Humans . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
7.7 Integrated Assessment Models . . . . . . . . . . . . . . . . . . . . . . . . 131
7.8 Challenges in Terrestrial System Modeling . . . . . . . . . . . . . . . 132
7.8.1 Ice Sheet Modeling. . . . . . . . . . . . . . . . . . . . . . . . . . 132
7.8.2 Surface Albedo Feedback . . . . . . . . . . . . . . . . . . . . . 133
7.8.3 Carbon Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
7.9 Applications: Wolf and Moose Ecosystem, Isle Royale
National Park. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
7.10 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
8 Bringing the System Together: Coupling and Complexity . . . . . . . 139
8.1 Types of Coupled Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
8.1.1 Regional Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
8.1.2 Statistical Models and Downscaling . . . . . . . . . . . . . . 141
8.1.3 Integrated Assessment Models . . . . . . . . . . . . . . . . . . 143
8.2 Coupling Models Together: Common Threads . . . . . . . . . . . . . 144
8.3 Key Interactions in Climate Models . . . . . . . . . . . . . . . . . . . . 147
8.3.1 Intermixing of the Feedback Loops. . . . . . . . . . . . . . . 147
8.3.2 Water Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . . 148
8.3.3 Albedo Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . 149
8.3.4 Ocean Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
8.3.5 Sea-Level Change . . . . . . . . . . . . . . . . . . . . . . . . . . 150
8.4 Coupled Modes of Climate Variability . . . . . . . . . . . . . . . . . . 151
8.4.1 Tropical Cyclones . . . . . . . . . . . . . . . . . . . . . . . . . . 151
8.4.2 Monsoons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152
Contents ix
8.4.3 El Niño. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152
8.4.4 Precipitation and the Land Surface . . . . . . . . . . . . . . . 153
8.4.5 Carbon Cycle and Climate. . . . . . . . . . . . . . . . . . . . . 153
8.5 Challenges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154
8.6 Applications: Integrated Assessment of Water Resources. . . . . . 155
8.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157
Part III Using Models
9 Model Evaluation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161
9.1 Evaluation Versus Validation. . . . . . . . . . . . . . . . . . . . . . . . . 161
9.1.1 Evaluation and Missing Information . . . . . . . . . . . . . . 162
9.1.2 Observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164
9.1.3 Model Improvement . . . . . . . . . . . . . . . . . . . . . . . . . 168
9.2 Climate Model Evaluation. . . . . . . . . . . . . . . . . . . . . . . . . . . 169
9.2.1 Types of Comparisons . . . . . . . . . . . . . . . . . . . . . . . 169
9.2.2 Model Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . 170
9.2.3 Using Model Evaluation to Guide Further
Observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172
9.3 Predicting the Future: Forecasts Versus Projections. . . . . . . . . . 173
9.3.1 Forecasts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173
9.3.2 Projections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173
9.4 Applications of Climate Model Evaluation:
Ozone Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174
9.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175
10 Predictability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
10.1 Knowledge and Key Uncertainties . . . . . . . . . . . . . . . . . . . . . 178
10.1.1 Physics of the System. . . . . . . . . . . . . . . . . . . . . . . . 178
10.1.2 Variability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
10.1.3 Sensitivity to Changes. . . . . . . . . . . . . . . . . . . . . . . . 180
10.2 Types of Uncertainty and Timescales . . . . . . . . . . . . . . . . . . . 181
10.2.1 Predicting the Near Term: Initial Condition
Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182
10.2.2 Predicting the Next 30–50 Years: Scenario
Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183
10.2.3 Predicting the Long Term: Model Uncertainty
Versus Scenario Uncertainty . . . . . . . . . . . . . . . . . . . 189
10.3 Ensembles: Multiple Models and Simulations . . . . . . . . . . . . . 191
10.4 Applications: Developing and Using Scenarios. . . . . . . . . . . . . 195
10.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196
x Contents
11 Results of Current Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199
11.1 Organization of Climate Model Results. . . . . . . . . . . . . . . . . . 199
11.2 Prediction and Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . 200
11.2.1 Goals of Prediction. . . . . . . . . . . . . . . . . . . . . . . . . . 201
11.2.2 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202
11.2.3 Why Models? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203
11.3 What Is the Confidence in Predictions?. . . . . . . . . . . . . . . . . . 204
11.3.1 Confident Predictions . . . . . . . . . . . . . . . . . . . . . . . . 205
11.3.2 Uncertain Predictions: Where to Be Cautious. . . . . . . . 210
11.3.3 Bad Predictions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212
11.3.4 How Do We Predict Extreme Events?. . . . . . . . . . . . . 214
11.4 Climate Impacts and Extremes . . . . . . . . . . . . . . . . . . . . . . . . 215
11.4.1 Tropical Cyclones . . . . . . . . . . . . . . . . . . . . . . . . . . 216
11.4.2 Stream Flow and Extreme Events. . . . . . . . . . . . . . . . 216
11.4.3 Electricity Demand and Extreme Events . . . . . . . . . . . 217
11.5 Application: Climate Model Impacts in Colorado . . . . . . . . . . . 217
11.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219
12 Usability of Climate Model Projections by Practitioners. . . . . . . . . 221
12.1 Knowledge Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222
12.2 Interpretation and Translation. . . . . . . . . . . . . . . . . . . . . . . . . 224
12.2.1 Barriers to the Use of Climate Model Projections . . . . . 225
12.2.2 Downscaled Datasets . . . . . . . . . . . . . . . . . . . . . . . . 226
12.2.3 Climate Assessments . . . . . . . . . . . . . . . . . . . . . . . . 227
12.2.4 Expert Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228
12.3 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228
12.3.1 Ensembles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231
12.3.2 Uncertainty in Assessment Reports . . . . . . . . . . . . . . . 231
12.4 Framing Uncertainty. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232
12.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235
13 Summary and Final Thoughts . . . . . . . . . . . . . . . . . . . . . . . . . . . 237
13.1 What Is Climate? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237
13.2 Key Features of a Climate Model. . . . . . . . . . . . . . . . . . . . . . 238
13.3 Components of the Climate System . . . . . . . . . . . . . . . . . . . . 239
13.3.1 The Atmosphere. . . . . . . . . . . . . . . . . . . . . . . . . . . . 240
13.3.2 The Ocean. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241
13.3.3 Terrestrial Systems . . . . . . . . . . . . . . . . . . . . . . . . . . 242
13.3.4 Coupled Components . . . . . . . . . . . . . . . . . . . . . . . . 243
13.4 Evaluation and Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . 244
13.4.1 Evaluation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244
13.4.2 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245
13.5 What We Know (and Do not Know) . . . . . . . . . . . . . . . . . . . 246
Contents xi
13.6 The Future of Climate Modeling . . . . . . . . . . . . . . . . . . . . . . 248
13.6.1 Increasing Resolution . . . . . . . . . . . . . . . . . . . . . . . . 248
13.6.2 New and Improved Processes. . . . . . . . . . . . . . . . . . . 249
13.6.3 Challenges. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250
13.7 Final Thoughts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251
Climate Modeling Text Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 255
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271
xii Contents
About the Authors
Andrew Gettelman is a Scientist in the Climate and Global Dynamics and
Atmospheric Chemistry and Modeling Laboratories at the National Center for
Atmospheric Research (NCAR). He is actively involved in developing atmosphere
and chemistry components for global climate models at NCAR. Dr. Gettelman
specializes in understanding and simulating cloud processes and their impact on
climate, especially ice clouds. He has numerous publications on cloud physics
representations in global models, as well as research on climate forcing and feed-
backs. He has participated in several international assessments of climate models,
particularly for assessing atmospheric chemistry. Gettelman holds a doctorate in
Atmospheric Science from the University of Washington, Seattle. He is a recent
recipient of the American Geophysical Union Ascent Award, and is a
Thompson-Reuters Highly Cited Researcher.
Richard B. Rood is a Professor in the Department of Climate and Space Sciences
and Engineering (CLaSP) at the University of Michigan. He is also appointed in the
School of Natural Resources and Environment. Prior to joining the University of
Michigan, he worked in modeling and high performance computing at the National
Aeronautics and Space Administration (NASA). His recent research is focused on
the usability of climate knowledge and data in management planning and practice.
He has started classes in climate-change problem solving, climate change uncer-
tainty in decision making, climate-change informatics (with Paul Edwards). In
addition to publications on numerical models, his recent publications include
software engineering, informatics, political science, social science, forestry and
public health. Rood’s professional degree is in Meteorology from Florida State
University. He recently served on the National Academy of Sciences Committee on
A National Strategy for Advancing Climate Modeling. He writes expert blogs on
climate change science and problem solving for the Weather Underground Richard
Rood is a Fellow of American Meteorological Society and a winner of the World
Meteorological Organization’s Norbert Gerbier Award.
xiii
Introduction
Human-caused climate change is perhaps the defining environmental issue of the
early twenty-first century. We observe the earth’s climate in the present, but
observations of future climate are not available yet. So in order to predict the future,
we rely on simulation models to predict future climate.
This book is designed to be a guide to climate simulation and prediction for the
non-specialist and an entry point for understanding uncertainties in climate models.
The goal is not to be simply a popular guide to climate modeling and prediction, but
to help those using climate models to understand the results. This book provides
background on the earth’s climate system and how it might change, a detailed
qualitative analysis of how climate models are constructed, and a discussion of
model results and the uncertainty inherent in those results. Throughout the text,
terms in bold will be referenced in the glossary. References are provided as foot-
notes in each chapter.
Who uses climate models? Climate model users are practitioners in many fields
who desire to incorporate information about climate and climate change into
planning and management decisions. Users may be scientists and engineers in fields
such as ecosystems or water resources. These scientists are familiar with models
and the roles of models in natural science. In other cases, the practitioners are
engineers, urban planners, epidemiologists, or architects. Though not necessarily
familiar with models of natural science, experts in these fields use quantitative
information for decision-making. These experts are potential users of climate
models. We hope in the end that by understanding climate models and their
uncertainties, the reader will understand how climate models are constructed to
represent the earth’s climate system. The book is intended to help the reader
become a more competent interpreter or translator of climate model output.
Climate is best thought of as the distribution of weather states, or the probability
of finding a particular weather state (usually described by temperature and pre-
cipitation) at any place and time. Climate science seeks to be able to describe this
distribution. In contrast, the goal of predicting the weather is to figure out exactly
which weather state will occur for a specific place and time (e.g., what the high
temperature and total precipitation will be on Tuesday for a given city). Even in
xv
modern societies, we are still more dependent on the weather than we like to admit.
Think of a winter storm snarling traffic and closing schools. Windstorms and
hailstorms can cause significant damage. Or think of the impact of severe tropical
cyclones (also called hurricanes or typhoons, depending on their location), per-
sonified and immortalized with names like Sandy, Andrew, or Katrina. Persistence
(or absence) of weather events is also important. Too little rain (leading to drought
and its resulting effects on agriculture and even contributing to wildfires) and too
much rain (leading to flooding) are both damaging.
Although we are tempted to speak of a single “climate,” there are many climates.
Every place has its own. We build our societies to be comfortable during the
expected weather events (the climate) in each place. Naturally, different climates
mean different expected weather events, and our societies adapt. Buildings in
Minneapolis are built to standards different from buildings in Miami or San
Francisco. City planning is also different in different climates. Minneapolis has
connected buildings so that people do not need to walk outside in winter, for
example. Singapore has connected buildings so that people do not need to walk
outside in heat and humidity. Not just the built environment, but the fabric of
society may be different with local climates. In warmer climates, social life takes
place outdoors, for example, or the flow of a day includes a rest period (siesta in
Spanish) during the hottest period of the day.
We construct our lives for possible and sometimes rare weather events: putting
on snow tires for winter even though snow may not be around for over half a
winter. We build into our lives the ability to deal with variations in the weather.
A closet contains coats, gloves, hats, rain jackets, umbrellas, sun hats, and sun-
glasses: We are ready for a range and for a distribution of possible weather states.
Some events are rare: Snow occasionally has fallen in Los Angeles, for example.
But it is usually the rare or extreme weather events that are damaging. These
outliers of the distribution are typically damaging because they are unexpected and
therefore we do not adequately prepare for them. Or rather, the expectation
(probability) is so rare that it is not cost-effective for society to prepare for them.
This applies to the individual as well: if you live in Miami your closet contains
more warm weather gear, and less cold weather gear. It is unlikely you would be
able to dress for temperatures well below freezing. The impacts of extreme weather
are dependent on the climate of a place as well. For example, a few inches (cen-
timeters) of snow is typical for Denver, Minneapolis, or Oslo, but it will shut down
Rome or Atlanta. One inch (25 millimeters) of annual rainfall is typical for Cairo,
but a disaster in most other places.
Where the most damaging weather events occur are at the extremes of the cli-
mate distribution. One problem is that we often do not know the distribution very
well. Every time we hit a record (e.g., a high temperature, rainfall in 24 hours, days
without rain), we expand the range of observed events a little, and we learn more
about what might happen in a particular place. Because extreme events are rare, we
do not really know the true chance of their occurrence. Think about your knowledge
of the climate where you live or in a place you have visited several times. At first,
you might not have a good grasp of what the seasons are like. After a few years,
xvi Introduction
you think you know how the seasons evolve. But there are always events that will
surprise you. The record events are those that surprise everyone. What is the
probability of a hurricane flooding Houston as New Orleans was flooded by
Katrina? It has not happened since the city of Houston has been there, so we may
not know. The extremes of the distribution of possible weather states are not well
known.
This creates even more of a problem when these extremes change. Changing the
distribution of weather is what we mean by climate change. The cause of those
changes might be natural or they might be human caused (anthropogenic).
So how do we predict the future of weather and the distribution of weather that
represents climate in a location? To understand and predict the future, we need a
way to represent the system. In other words, we need a model. This book is about
how we attempt to use models to represent the complex climate system and predict
the future. Our goal is to explain and provide a better understanding of the models
we use to describe the past, present, and future of the earth system. These are
commonly known as climate models. Scientists often refer to these models formally
as earth system models, but we use the term climate model.
The purpose of this book is to demystify the models we use to simulate present
and future climate. We explain how the models are constructed, why they are
uncertain, and what level of confidence we should place in those models.
Uncertainty is not a weakness. Understanding uncertainty is a strength, and a key
part of using any model, including climate models. One key message is that the
level of confidence depends on the questions we ask. What are we certain about in
the future and why? What are we less certain of and why? For policy-makers, this is
a critical issue. Understanding how climate models work and how we get there is an
important step in making intelligent decisions using (or not using) these climate
models. Climate models are being used not just to understand the earth system but
also to provide input for policy decisions to address human-caused climate change.
The direction of our environment and economy is dependent on policy options
chosen based on results of these models.
The chapters in Part I serve as a basic primer on climate and climate change. We
hope to give readers an appreciation for the complexity and even beauty of the
complex earth system so that they can better understand how we simulate it. In
Part II, we discuss the mechanics of models of the earth system: How they are built
and what they are trying to represent. Models are built to simulate each region
of the climate system (e.g., atmosphere, ocean, and land), critical processes within
each region, as well as critical interactions between regions and processes. Finally,
in Part III, we focus on uncertainties and probabilities in prediction, with a focus on
understanding what is known, what is unknown, and the degree of certainty. We
also discuss how climate models are evaluated. In the concluding chapter, we
discuss what we know, what we may learn in the future, and why we should (or
should not) use models.
Introduction xvii
Part I
Basic Principles and the Problem
of Climate Forecasts
Chapter 1
Key Concepts in Climate Modeling
In order to describe climate modeling and the climate system, it is necessary to have
a common conception of exactly what we are trying to simulate, and what a model
actually is. What is climate? What is a model? How do we measure the uncertainty
in a model? This chapter introduces some key terms and concepts. We start with
some basic definitions of climate and weather. Everyone will come to this book
with a preconceived definition of what climate and weather are, but separating these
concepts is important for understanding how modeling of climate and weather are
similar and why they are different. It also makes sense to discuss what a model is.
Even if we do not realize it, we use models all the time. So we describe a few
different conceptual types of models and put climate models in context. Finally we
introduce the concept of uncertainty. As we discuss later in the book, models may
have errors and still be useful, but this requires understanding the errors (the
uncertainties) and understanding where they come from. Most of these concepts are
common to many types of modeling, and we provide examples throughout the text.
1.1 What Is Climate?
Climate is perhaps easiest to explain as the distribution of possible weather states.
On any given day and in any given place, the history of weather events can be
compiled into a distribution with probabilities of what the weather might be (see
Fig. 1.1). This figure is called a probability distribution function, representing a
probability distribution.1
The horizontal axis represents a value (e.g., tempera-
ture), and the vertical axis represents the probability (or frequency of occurrence) of
that event’s (i.e., a given temperature) occurring or having occurred. If based on
observations, then the frequency can be the number of times a given temperature
occurs. The higher the line, the more probable the event. The most frequent
1
There is quite a bit of statistics in climate, by definition. For a technical background, a good
reference is Devore, J. L. (2011). Probability and Statistics for Engineering and the Sciences, 8th
ed. Duxbury, MA: Duxbury Press. Any specific aspect of statistics (e.g., standard deviation,
probability distribution function) can be looked up on Wikipedia (www.wikipedia.com).
© The Author(s) 2016
A. Gettelman and R.B. Rood, Demystifying Climate Models,
Earth Systems Data and Models 2, DOI 10.1007/978-3-662-48959-8_1
3
occurrence is the highest probability (the mode). The total area under the line is the
probability. If the total area is given a value of 1, then the area under each part of
the curve is the fractional chance that an event exceeding some threshold will occur.
In Fig. 1.1, the area to the right of point T1 is the probability that the temperature
will be greater than T1, which might be about 20 % of the curve. The mean, or
expected value, is the weighted average of the points. It need not be the point with
the highest frequency. The mean value is the point at which half the probability
(50 %) is on one side of the mean, and half on the other. The median is the value at
which half the points are on one side and half on the other.
Here is an important and obvious question: How can we predict the climate (for
next season, next year, or 50 years from now) if we cannot predict the weather (in 5
or 10 days)? The answer is, we use probability: The climate is the distribution of
probable weather. The weather is a particular location in that distribution, and it is
conditional on the current state of the system. The chance of a hurricane hitting
Miami next week depends mostly on whether one has formed or is forming, and if
one has formed, whether it is heading in the direction of Miami. As another
example, the chance of having a rainy day in Seattle in January is high. But, given a
particular day in January, with a weather state that might be pushing storms well to
the north or south, the probability of rain the next day might be very low. In 50
Januaries, though, the probability of rain would be high. So climate is the distri-
bution of weather (sometimes unknown). Weather is a given state in that distri-
bution (often uncertain).
In a probability distribution of climate, the probabilities and the curve change
over time: In the middle latitudes, the chance of snow is higher in winter than in
summer. The curves will look different from place to place: Some climates have
narrow distributions (see Fig. 1.2a), which means the weather is often very close to
the average. Think about Hawaii, where the average of the daily highs and lows do
not change much over the course of the year or Alaska, where the daily highs and
lows may be the same as in Hawaii in summer, but not in winter. For Alaska the
annual distribution of temperature is a very broad distribution (more like Fig. 1.2b).
Frequency
of
Occurrence
Value (e.g., temperature)
Hot
Cold Mean T1
Fig. 1.1 A probability distribution function with the value on the horizontal axis, and the
frequency of occurrence on the vertical axis
4 1 Key Concepts in Climate Modeling
Of course, even in Hawaii, extreme events occur. For a distribution like precipi-
tation, which is bounded at one end by zero (no precipitation) the distribution might
be “skewed” (Fig. 1.2c) with a low frequency of high events marking the
‘extreme’. As events are more extreme (think about hurricanes like Katrina or
Sandy), there are fewer such events in the historical record. There may even be
possible extreme events that have not occurred. So our description of climate is
incomplete or uncertain. This is particularly true for rare (low-probability) events.
These events are also the events that cause the most damage.
One aspect of shifting distributions is that extremes can change a lot more than
the mean value (see Fig. 1.3). The mean is the value at which the area is equal on
each side of the distribution. The mean is the same as the median if the distribution
is symmetric. Simply moving the distribution to the right or left causes the area
(meaning, the probability) beyond some fixed threshold to increase (or decrease). If
the curve represents temperature, then shifting it to warmer temperatures (Fig. 1.3a)
decreases the chance of cold events and really increases the chance of warm events.
But note that some cold events still occur. Also, you can change the distribution
without changing the mean by making the distribution wider (or broader). The
mathematical term for the width of a distribution is variance, a statistical term for
variability. This situation is illustrated in Fig. 1.3b. The mean is unchanged in
Narrow
(a)
(b)
(c)
Wide
Uneven (Skewed)
Fig. 1.2 Different probability
distribution functions:
a narrow, b wide and
c skewed distributions
1.1 What Is Climate? 5
Fig. 1.3b, but the chance of exceeding a given threshold for warm or cold tem-
peratures changes. In other words, the climate (particularly a climate extreme)
changes dramatically, even if the mean stays the same. The change need not be
symmetric: Hot may change more than cold (or vice versa). Figure 1.3c is not a
symmetric distribution. The key is to see climate as the distribution, not as a fixed
number (often the mean).
This brings us to the fundamental difference between weather and climate
forecasting. In weather forecasting,2
we need to know the current state of the
system and have a model for projecting it forward. Often the model can be simple.
One “model” we all use is called persistence: What is the weather now? It may be
like that tomorrow. In many places (e.g., Hawaii), such a model is not bad, but
sometimes it is horribly wrong (e.g., when a hurricane hits Hawaii). So we try to
use more sophisticated models, now typically numerical ones. These models go by
the name numerical weather prediction (NWP) models, and they are used to
“forecast” the evolution of the earth system from its current state.
Increase in mean
Lots more ‘hot’ (some off scale: records)
(a)
(b)
(c)
Less cold
Increase in variance
More hot and cold: both off scale
Same mean
Increase in mean and variance
Lots more hot, off scale
Less cold
Fig. 1.3 Shifting probability distribution functions are illustrated in different ways going from the
blue to red distribution. The thick lines are the distribution, the thin dashed lines are the mean of
the distributions and the dotted lines are fixed points to illustrate probability. Shown is a increase
in mean, b increase in variance (width), c increase in mean and variance
2
For an overview of the history of weather forecasting, see Edwards, P. N. (2013). A Vast
Machine: Computer Models, Climate Data, and the Politics of Global Warming. Cambridge, MA:
MIT Press.
6 1 Key Concepts in Climate Modeling
Climate forecasting uses essentially the same type of model. But the goal of
climate forecasting is to characterize the distribution. This may mean running the
model for a long time to describe the distribution of all possible weather states
correctly. If you start up a weather model from two different states (two different
days), you hope to get a different answer each time. But for climate, you want to get
the same distribution (the same climate), regardless of when the model started. We
return to these examples again later.
1.2 What Is a Model?
A model, in essence, is a representation of a system. A model can be physical
(building blocks) or abstract (an image on paper like a plan, or in your head).
Abstract models can also be mathematical (monetary or physical totals in a
spreadsheet). Ordinary physics that describes how cars go (or, more importantly,
how they stop suddenly) is a model for how the physical world behaves. Numbers
themselves are abstract models. A financial statement is a model of the money and
resource flows of a household, corporation or country. Models are all around us,
and we use them to abstract, make tractable and understand our human and natural
environment.
As a concrete example, think about different “models” of a building. There can
be many types of models of a building. A physical model of the building would
usually be at a smaller scale that you can hold in your hand. There are several
different abstract models of a building, and they are used for different purposes.
Architects and engineers produce building plans: two-dimensional representations
of the building, used to construct and document the building. Some of these are
highly detailed drawings of specific parts of the building, such as the exterior, or the
electrical and plumbing systems. The engineer may have built not just a physical
model of the building, but perhaps even a more detailed structural model designed
to understand how the building will react to wind or ground motion (earthquakes).
Increasingly, these models are “virtual”: The structure is simulated on a computer.
We are familiar with all these sorts of model, but there are other more abstract
models that deal with flows and budgets of materials or money. The owner and
builder also probably have a spreadsheet model of the costs of construction of the
building. This financial model is not certain, because it is really an estimate (or
forecast, see below) of all the different costs of construction. And, finally, the owner
likely has another model of the financial operation of the building: the money
borrowed to finance the building, any income from a commercial building, and the
costs of maintenance and operations of the building. The operating plan is really a
projection into the future: It depends on a lot of uncertainties, like the cost of
electricity or the value of the income from a building. The projection depends on
these inputs, which the spreadsheet does not try to predict. The prediction is con-
ditional on the inputs.
1.1 What Is Climate? 7
Models All Around Us
Models are everywhere in our world. Many models are familiar and physical,
such as a small-scale model of a building or a bridge, or a mockup of a
satellite or an airplane. Some models we use every day are made up of
numbers. Many people use a model with numbers to manage income and
expenses, savings and debts; that is, a budget. When the model of a bridge is
placed in a computer-assisted design program, or a financial budget is put into
a spreadsheet on a personal computer, then one has a “numerical” model.
These models have a set of mathematical equations that behave with a
specific set of rules, principles or laws.
Climate models are numerical models that calculate budgets of mass,
momentum (velocity) and energy based on the physical laws of conservation.
For example, energy is conserved (neither created or destroyed) and can,
therefore, be counted. The physical laws on which climate models are based
are discussed in more detail in Chap. 4. Weather and climate are dynamical
systems; that is, they evolve over time. We rely on models of dynamical
systems for many aspects of modern life. Here we illustrate a few examples of
models that affect our everyday lives.
Climate models are closely related to weather forecast models; both
simulate how fluids (air or water) move and interact, and how they exchange
heat. An obvious example of a model that affects daily life is the weather
forecast model, which is used in planning by individuals, governments,
corporations and finance. The exact same physical principles of fluid flow are
used to simulate a process in a chemical plant that takes different substances
as liquids or gasses, reacts them together under controlled temperature and
pressure, and produces new substances. Water and sewage treatment plants
share similar principles and models. Internal combustion engines used for
cars, trucks, ships and power plants are developed using models to understand
how fuel enters the engine and produces heat, and that heat produces motion.
Airplanes are also developed using modeling of the airflow around an aircraft.
In this case, computational modeling has largely replaced design using wind
tunnels. All of these models involve fluid flow and share physical princi-
ples with climate models. The details of the problem, for example, flow in
pipes as contrasted to flow in the free atmosphere, define the specific
requirements for the model construction.
So do you trust a model? Intuitively, we trust models all the time. You are
using the results of a model every time you start your car, flush your toilet,
turn on a light switch or get in an airplane. You count on models when you
drive over a bridge. When NASA sends a satellite or rover to another planet,
the path and behavior of the space vehicle relies on a model of simple physics
describing complex systems.
Models do not just describe physical objects. Models of infectious diseases
played an important role in management of the 2014 outbreak of Ebola. One
function of models is to provide plausible representations of events to come,
8 1 Key Concepts in Climate Modeling
and then to place people into those plausible futures. It is a way to anticipate
and manage complexity. Though most times these models do not give an
exact story of the future, the planning and decision making that comes from
these modeling exercises improves our ability to anticipate the unexpected
and to manage risk. Think of modeling as a virtual, computational world in
which to exercise the practice of trial and error, and therefore, a method for
reducing the “error” in trial and error. Reducing these errors saves lives and
property. Models reduce the chance of errors: Airplanes do not regularly fall
out of the sky, bridges do not normally collapse and chemical plants do not
typically leak.
Ultimately, trust of models is anchored in evaluation of models compared
to observations and experiences. Weather models are evaluated every day
with billions of observations as well as billions of individuals’ experiences.
Trust is often highly personal. By many objective measures, weather models
have remarkable accuracy, for example, letting a city know more than five
days in advance that a major tropical cyclone is likely to make landfall near
that city. Of course, if the tropical cyclone makes landfall just 60 miles
(100 km) away from the city, many people might conclude the models cannot
be trusted.
Objectively, however, a model that simulated the tropical cyclone and
represented its evolution with an error of 60 miles (100 km) on a globe that
spans many thousands of miles can, also, be construed as being quite accu-
rate. This represents the fact that models provide plausible futures that inform
decision making.
Like weather models, climate models are evaluated with billions of
observations and investigations of past events. The results of models have
been scrutinized by thousands of scientists and practitioners. With virtual
certainty, we know the Earth will warm, sea level will rise, ice will melt and
weather will change. They provide plausible futures, not prescribed futures.
There are uncertainties, and there will always be uncertainties. However, our
growing experiences and vigilant efforts to evaluate and improve will help us
to understand, manage and, sometimes, reduce uncertainty. As the models
improve, trust and usability increase. There remains some uncertainty in most
physical models, but that can be accounted for, and we discuss uncertainty,
and its value in modeling, at length.
Our world is completely dependent on physical models, and their success is
seen around us in the fact that much of the world “works” nearly all of the time.
Models are certain enough to use in dangerous contexts that are both mundane
and ubiquitous. We answer the question of whether we should trust models and
make changes in our lives based on their results every time we get in an
elevator or an airplane. There is no issue of should we trust models; we have
been doing it for centuries since the first bridge was constructed, the first train
left a station or the first time a building was built more than one story high.
1.2 What Is a Model? 9
1.3 Uncertainty
Forecasting involves projecting what we know, using a model, onto what we do
not know. The result is a prediction or forecast. Forecasts may be wrong, of course,
and the chance of them being wrong is known as uncertainty. Uncertainty can
come from several different sources, but this is particularly the case when we think
about climate and weather. One way to better characterize uncertainty is to divide it
into categories based on model, scenario and initial conditions.3
1.3.1 Model Uncertainty
Obviously, a model can be wrong or have structural errors (model uncertainty).
For example, if one were modeling how many tires a delivery company would need
for their trucks in a year and assumed that the tires last 10,000 miles, when they
actually only last 7,000 miles, the forecast of tire use is probably wrong. If you
assumed each truck would drive 20,000 miles per year and tires last 10,000 miles,
the trucks would need two sets of tires. However, what if the trucks drove only
14,000 miles per year and each set of tires lasted only 7,000 miles, (still needing
just two sets of tires)? Then the forecast might be right, but the tire forecast would
be right for the wrong reason: in this case, a cancellation of errors.
1.3.2 Scenario Uncertainty
The preceding example also illustrates another potential uncertainty faced in climate
modeling: scenario uncertainty. The scenario4
is the uncertainty in the future
model inputs. In the tire forecast, the scenario assumed 20,000 miles per truck each
year. But the scenario was wrong. If the tire forecast model was correct (or “per-
fect”) and tires lasted 10,000 miles, but the mileage was incorrect (14,000 vs.
20,000 assumed), then the forecast will still be incorrect, even if the model is
perfect. If the actual mileage continued to deviate from the assumption (14,000
miles), then the forecast over time will continue to be incorrect. If one is concerned
with the total purchase of tires and total cost, then the situation becomes even more
uncertain. Other factors (e.g., growth of the company, change in type of tires) may
make forecasting the scenario, or inputs to the model, even more uncertain, even if
the model as it stands is perfect. As the timescale of the model looks farther into the
3
This definition of uncertainty has been developed by Hawkins, E., & Sutton, R. (2009). “The
Potential to Narrow Uncertainty in Regional Climate Prediction.” Bulletin of the American
Meteorological Society, 90(8): 1095–1107.
4
For a discussion of climate scenarios, see Chap. 10.
10 1 Key Concepts in Climate Modeling
future, more and more different “variables” become uncertain (e.g., new types of
tire, new trucks, the cost of tires). These variables that cannot be predicted, but have
to be assumed, are often called parameters. Scenario uncertainty logically domi-
nates uncertainty farther into the future (see Chap. 10 for more detail).
1.3.3 Initial Condition Uncertainty
Finally, there is uncertainty in the initial state of the system used in the model, or
initial condition uncertainty. In our tire forecast, to be specific about how many
tires we will need in the current or next year, we also need to know what the current
state of tires is on all the trucks. Changes in the current state of tires will have big
effects on the near-term forecast: If all trucks have 6,000 or 8,000 miles on their
tires, there will be more purchases of tires in a given year than if they are all brand
new. Initial condition uncertainty is a similar problem in weather forecasting. As we
will discuss, some aspects of the climate system, particularly related to the oceans,
for example, have very long timescales and “memory,” so that knowing the state of
the oceans affects climate over several decades. However, over long timescales
(longer than the timescale of a process), these uncertainties fade. If you want to
know how many tires will be needed over 5 or 10 years, the uncertainty about the
current state of tires (which affects only the first set of replacements) on the total
number of tires needed is small.
1.3.4 Total Uncertainty
In climate prediction, we must address all three types of uncertainties—model
uncertainty, scenario uncertainty and initial condition uncertainty—to estimate the
total uncertainty in a forecast. They operate on different time periods: Initial con-
dition uncertainty matters most for the short term (i.e., weather scales, or even
seasonal to annual, in some cases), and scenario uncertainty matters most in the
longer term (decades to centuries). Model uncertainty operates at all timescales and
can be “masked” or hidden by other uncertainties.
The complicated nature of these uncertainties makes prediction both harder and
easier. It certainly makes it easier to understand and characterize the uncertainty in a
forecast. One of our goals is to set down ideas and a framework for understanding
how climate predictions can be used. Judging the quality of a prediction is based on
understanding what the uncertainty is and where it comes from. Some comes from
the model and some comes from how the experiment is set up (the initial conditions
and the scenario).
1.3 Uncertainty 11
1.4 Summary
Climate can best be thought of as a distribution of all possible weather states. What
matters to us is the shape of the distribution. Weather is where we are on the
distribution at any point in time. The extreme values in the distribution, that usually
have low probability, are hard to predict, but that is where most of the impacts lie.
Weather and climate models are similar, except weather models are designed to
predict the exact location on a distribution, while climate models describe the
distribution itself.
We use models all the time to predict the future. Some models are physical
objects, some are numerical models. Climate models are one type of a numerical
model: As we shall see, they can often be thought of as giant spreadsheets that keep
track of the physical properties of the earth system, the same way a budget keeps
track of money.
Uncertainty in climate models has several components. They are related to the
model itself, to the initial conditions for the model (the starting point) and to the
inputs that affect the model over time in a “scenario.” All three must be addressed
for a model to be useful. Uncertainty is not to be feared. Uncertainty is not a failure
of models. Uncertainty can be understood and used to assess confidence in
predictions.
Key Points
• Climate is the distribution of possible weather states at any place and time.
• Extremes of climate are where the impacts are.
• We use models all the time to predict the future, some models are even
numerical.
• Weather and climate models are similar but have different goals.
• Uncertainty has several different parts (model, scenario, initial conditions).
Open Access This chapter is distributed under the terms of the Creative Commons Attribution-
Noncommercial 2.5 License (http://creativecommons.org/licenses/by-nc/2.5/) which permits any
noncommercial use, distribution, and reproduction in any medium, provided the original author(s)
and source are credited.
The images or other third party material in this chapter are included in the work’s Creative
Commons license, unless indicated otherwise in the credit line; if such material is not included in
the work’s Creative Commons license and the respective action is not permitted by statutory
regulation, users will need to obtain permission from the license holder to duplicate, adapt or
reproduce the material.
12 1 Key Concepts in Climate Modeling
Chapter 2
Components of the Climate System
We experience climate generally at the surface of the earth. This is the intersection
of a number of different and distinct parts of the climate system. Understanding the
different components of the climate system is critical for being able to simulate the
system. As we will discuss, the climate system is typically simulated as a set of
building blocks, from each individual process (i.e., the condensation of water to
form clouds) collected into a model of one part or component of the system (i.e., the
atmosphere), and then coupled to other components of the system (i.e., ocean, land,
ice). Understanding and then representing in a model the different interactions
between processes and then between components is critical for being able to build a
representation of the system: a climate model.
In this chapter we describe the basic parts of the earth system that comprise the
climate system, some of the key scientific principles and critical processes neces-
sary to simulate each of these components. This forms the background to a dis-
cussion of how climate might change (see Chap. 3) and a more detailed discussion
of each component and how it is simulated (Sect. 2.2, Chaps. 5–8). We discuss the
key components of the earth system, as well as some of the critical interactions
(discussed in more detail in Chap. 8).
2.1 Components of the Earth System
Figure 2.1 represents a schematic of many of the important components of the earth
system that govern and regulate climate. Broadly, there are three different regions of
the planet: the atmosphere, the oceans and the land (or terrestrial) surface. In
addition to these general regions, we also speak of a cryosphere, the snow and ice
covered regions of the planet. This fourth “sphere” spans the ocean (as sea ice) and
the terrestrial surface (as glaciers, snow and ice sheets). We address the cryosphere
in discussions of the ocean and terrestrial surface. While modeling the surface of the
earth is commonly thought of as just modeling the land surface, it also includes the
cryosphere (ice and snow) that sits on land. The term terrestrial is used to
encompass all these spheres, though the common term land is also used.
© The Author(s) 2016
A. Gettelman and R.B. Rood, Demystifying Climate Models,
Earth Systems Data and Models 2, DOI 10.1007/978-3-662-48959-8_2
13
These are the traditional physical components of the earth’s climate system. We
also introduce two more “spheres.” An important fifth component of the system is
the biosphere: the living organisms on the planet, again, which span the terrestrial
surface (plants, organisms in the soil, and animals) as well as the ocean (fish and
plants in the ocean). We discuss the biosphere as part of both the ocean and
terrestrial surface. Finally, although humans are technically part of the biosphere,
our large “footprint” and impact on the global environment and the climate system
is large enough that we can define a separate sphere for human activity and impacts
called the anthroposphere (see Chap. 3).
2.1.1 The Atmosphere
The atmosphere is usually the first part of the climate system we naturally think of.
It is literally the air we breathe: mostly inert nitrogen (78 %) with oxygen (16 %)
and then other trace gases (argon, water vapor, carbon dioxide). The oxygen is a
by-product of the respiration (“breathing”) of plants and other organisms: It is
evidence of life on earth. The oxygen in the atmosphere did not exist before the
emergence of living organisms.1
Oxygen is emitted by plants as an outcome of
photosynthesis that removes carbon from carbon dioxide. Oxygen reacts with
materials (rock and ore) at the earth’s surface (oxidation) and disappears from the
atmosphere. One of the most common reactants is iron (iron oxide = rust), which is
responsible for the red color of many rocks. Unless organisms continue to produce
oxygen, it will disappear from the atmosphere. It would take a long time however:
hundreds of thousands to millions of years. But it is the trace species—water vapor,
carbon dioxide and methane—known as the greenhouse gases, that are most
important in understanding the climate system and how climate might change.
Ocean
Ice (cryosphere)
Sun
Biosphere
Atmosphere
Anthroposphere
Terrestrial (land)
Fig. 2.1 The Earth system. The climate system contains different spheres (components):
atmosphere, ocean, terrestrial, cryosphere, biosphere and anthroposphere
1
Kasting, J. F., & Siefert, J. L. (2002). “Life and the Evolution of Earth’s Atmosphere.” Science,
296(5570): 1066–1068.
14 2 Components of the Climate System
Exploring the Variety of Random
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Demystifying Climate Models A Users Guide to Earth System Models 1st Edition Andrew Gettelman

  • 1. Demystifying Climate Models A Users Guide to Earth System Models 1st Edition Andrew Gettelman download https://textbookfull.com/product/demystifying-climate-models-a- users-guide-to-earth-system-models-1st-edition-andrew-gettelman/ Download full version ebook from https://textbookfull.com
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  • 4. Earth Systems Data and Models Andrew Gettelman Richard B. Rood Demystifying Climate Models A Users Guide to Earth System Models
  • 5. Earth Systems Data and Models Volume 2 Series editors Bernd Blasius, Carl von Ossietzky University Oldenburg, Oldenburg, Germany William Lahoz, NILU—Norwegian Institute for Air Research, Kjeller, Norway Dimitri P. Solomatine, UNESCO—IHE Institute for Water Education, Delft, The Netherlands
  • 6. Aims and Scope The book series Earth Systems Data and Models publishes state-of-the-art research and technologies aimed at understanding processes and interactions in the earth system. A special emphasis is given to theory, methods, and tools used in earth, planetary and environmental sciences for: modeling, observation and analysis; data generation, assimilation and visualization; forecasting and simulation; and optimization. Topics in the series include but are not limited to: numerical, data- driven and agent-based modeling of the earth system; uncertainty analysis of models; geodynamic simulations, climate change, weather forecasting, hydroinformatics, and complex ecological models; model evaluation for decision-making processes and other earth science applications; and remote sensing and GIS technology. The series publishes monographs, edited volumes and selected conference proceedings addressing an interdisciplinary audience, which not only includes geologists, hydrologists, meteorologists, chemists, biologists and ecologists but also physicists, engineers and applied mathematicians, as well as policy makers who use model outputs as the basis of decision-making processes. More information about this series at http://www.springer.com/series/10525
  • 7. Andrew Gettelman • Richard B. Rood Demystifying Climate Models A Users Guide to Earth System Models
  • 8. Andrew Gettelman National Center for Atmospheric Research Boulder USA Richard B. Rood Climate and Space Sciences and Engineering University of Michigan Ann Arbor USA ISSN 2364-5830 ISSN 2364-5849 (electronic) Earth Systems Data and Models ISBN 978-3-662-48957-4 ISBN 978-3-662-48959-8 (eBook) DOI 10.1007/978-3-662-48959-8 Library of Congress Control Number: 2015958748 © The Editor(s) (if applicable) and The Author(s) 2016. This book is published open access. Open Access This book is distributed under the terms of the Creative Commons Attribution- Noncommercial 2.5 License (http://creativecommons.org/licenses/by-nc/2.5/) which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. The images or other third party material in this chapter are included in the work’s Creative Commons license, unless indicated otherwise in the credit line; if such material is not included in the work’s Creative Commons license and the respective action is not permitted by statutory regulation, users will need to obtain permission from the license holder to duplicate, adapt or reproduce the material. This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publi- cation does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by SpringerNature The registered company is Springer-Verlag GmbH Berlin Heidelberg
  • 9. Acknowledgments Amy Marks provided very careful and thorough edit, as well as numerous helpful suggestions. Cheryl Craig, Teresa Foster, Andrew Dolan, and Galia Guentchev contributed their time to reading through drafts and providing a needed reality check. Prof. Reto Knutti helped this book take shape while Andrew Gettelman was on sabbatical at ETH in Zurich. David Lawrence shared critical insights and PowerPoint figures on terrestrial systems. Thanks also to Markus Jochum for straightening us out on explaining how the ocean works. Jan Sedlacek, ETH-Zürich, helped with figures in Chap. 11 (especially Fig. 11.6). Mike Moran and David Edwards of the National Center for Atmospheric Research provided financial support. Lawrence Buja and the National Center for Atmospheric Research hosted Richard Rood’s visitor status. The National Center for Atmospheric Research is funded by the U.S. National Science Foundation. We thank the staff and students of the University of Michigan’s Climate Center for reviews of the manuscript: Samantha Basile, William Baule, Matt Bishop, Laura Briley, Daniel Brown, Kimberly Channell, Omar Gates, and Elizabeth Gibbons. Richard Rood thanks the students in his classes on climate change problem-solving at the University of Michigan and acknowledges in particular the project work of: James Arnott, Christopher Curtis, Kevin Kacan, Kazuki Ito, Benjamin Lowden, Sabrina Shuman, Kelsey Stadnikia, Anthony Torres, Zifan Yang. Richard Rood acknowledges the support of the University of Michigan and the Graham Sustainability Institute, and grants from the National Oceanographic and Atmospheric Administration (Great Lakes Sciences and Assessments Center (GLISA)—NOAA Climate Program Office NA10OAR4310213) and the Department of the Interior, National Park Service (Cooperative Agreement P14AC00898). Francesca Gettelman exhibited nearly unlimited patience with some late nights. v
  • 10. Contents Part I Basic Principles and the Problem of Climate Forecasts 1 Key Concepts in Climate Modeling . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1 What Is Climate? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 What Is a Model? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.3 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3.1 Model Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3.2 Scenario Uncertainty. . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3.3 Initial Condition Uncertainty . . . . . . . . . . . . . . . . . . . 11 1.3.4 Total Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2 Components of the Climate System . . . . . . . . . . . . . . . . . . . . . . . . 13 2.1 Components of the Earth System . . . . . . . . . . . . . . . . . . . . . . 13 2.1.1 The Atmosphere. . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.1.2 The Ocean and Sea Ice . . . . . . . . . . . . . . . . . . . . . . . 17 2.1.3 Terrestrial Systems . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.2 Timescales and Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3 Climate Change and Global Warming . . . . . . . . . . . . . . . . . . . . . 23 3.1 Coupling of the Pieces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.2 Forcing the Climate System. . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.3 Climate History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.4 Understanding Where the Energy Goes. . . . . . . . . . . . . . . . . . 30 3.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4 Essence of a Climate Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 4.1 Scientific Principles in Climate Models . . . . . . . . . . . . . . . . . . 38 4.2 Basic Formulation and Constraints . . . . . . . . . . . . . . . . . . . . . 41 4.2.1 Finite Pieces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4.2.2 Processes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 vii
  • 11. 4.2.3 Marching Forward in Time . . . . . . . . . . . . . . . . . . . . 49 4.2.4 Examples of Finite Element Models . . . . . . . . . . . . . . 50 4.3 Coupled Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 4.4 A Brief History of Climate Models. . . . . . . . . . . . . . . . . . . . . 52 4.5 Computational Aspects of Climate Modeling . . . . . . . . . . . . . . 53 4.5.1 The Computer Program. . . . . . . . . . . . . . . . . . . . . . . 53 4.5.2 Running a Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 4.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Part II Model Mechanics 5 Simulating the Atmosphere. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 5.1 Role of the Atmosphere in Climate . . . . . . . . . . . . . . . . . . . . 62 5.2 Types of Atmospheric Models . . . . . . . . . . . . . . . . . . . . . . . . 66 5.3 General Circulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 5.4 Parts of an Atmosphere Model. . . . . . . . . . . . . . . . . . . . . . . . 71 5.4.1 Clouds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 5.4.2 Radiative Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 5.4.3 Chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 5.5 Weather Models Versus Climate Models. . . . . . . . . . . . . . . . . 78 5.6 Challenges for Atmospheric Models . . . . . . . . . . . . . . . . . . . . 79 5.6.1 Uncertain and Unknown Processes . . . . . . . . . . . . . . . 79 5.6.2 Scales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 5.6.3 Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 5.6.4 Cloud Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 5.7 Applications: Impacts of Tropical Cyclones . . . . . . . . . . . . . . . 83 5.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 6 Simulating the Ocean and Sea Ice. . . . . . . . . . . . . . . . . . . . . . . . . 87 6.1 Understanding the Ocean . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 6.1.1 Structure of the Ocean . . . . . . . . . . . . . . . . . . . . . . . 88 6.1.2 Forcing of the Ocean . . . . . . . . . . . . . . . . . . . . . . . . 89 6.2 “Limited” Ocean Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 6.3 Ocean General Circulation Models . . . . . . . . . . . . . . . . . . . . . 92 6.3.1 Topography and Grids . . . . . . . . . . . . . . . . . . . . . . . 92 6.3.2 Deep Ocean. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 6.3.3 Eddies in the Ocean . . . . . . . . . . . . . . . . . . . . . . . . . 96 6.3.4 Surface Ocean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 6.3.5 Structure of an Ocean Model . . . . . . . . . . . . . . . . . . . 100 6.3.6 Ocean Versus Atmosphere Models . . . . . . . . . . . . . . . 101 6.4 Sea-Ice Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 6.5 The Ocean Carbon Cycle . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 6.6 Challenges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 6.6.1 Challenges in Ocean Modeling. . . . . . . . . . . . . . . . . . 105 6.6.2 Challenges in Sea Ice Modeling . . . . . . . . . . . . . . . . . 105 viii Contents
  • 12. 6.7 Applications: Sea-Level Rise, Norfolk, Virginia . . . . . . . . . . . . 106 6.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 7 Simulating Terrestrial Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 7.1 Role of the Land Surface in Climate. . . . . . . . . . . . . . . . . . . . 109 7.1.1 Precipitation and the Water Cycle. . . . . . . . . . . . . . . . 110 7.1.2 Vegetation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 7.1.3 Ice and Snow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 7.1.4 Human Impacts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 7.2 Building a Land Surface Simulation . . . . . . . . . . . . . . . . . . . . 113 7.2.1 Evolution of a Terrestrial System Model . . . . . . . . . . . 113 7.2.2 Biogeophysics: Surface Fluxes and Heat . . . . . . . . . . . 115 7.2.3 Biogeophysics: Hydrology. . . . . . . . . . . . . . . . . . . . . 116 7.2.4 Ecosystem Dynamics (Vegetation and Land Cover/Use Change) . . . . . . . . . . . . . . . . . . 118 7.2.5 Summary: Structure of a Land Model . . . . . . . . . . . . . 120 7.3 Biogeochemistry: Carbon and Other Nutrient Cycles . . . . . . . . 121 7.4 Land-Atmosphere Interactions . . . . . . . . . . . . . . . . . . . . . . . . 125 7.5 Land Ice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 7.6 Humans . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 7.7 Integrated Assessment Models . . . . . . . . . . . . . . . . . . . . . . . . 131 7.8 Challenges in Terrestrial System Modeling . . . . . . . . . . . . . . . 132 7.8.1 Ice Sheet Modeling. . . . . . . . . . . . . . . . . . . . . . . . . . 132 7.8.2 Surface Albedo Feedback . . . . . . . . . . . . . . . . . . . . . 133 7.8.3 Carbon Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 7.9 Applications: Wolf and Moose Ecosystem, Isle Royale National Park. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 7.10 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 8 Bringing the System Together: Coupling and Complexity . . . . . . . 139 8.1 Types of Coupled Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 8.1.1 Regional Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 8.1.2 Statistical Models and Downscaling . . . . . . . . . . . . . . 141 8.1.3 Integrated Assessment Models . . . . . . . . . . . . . . . . . . 143 8.2 Coupling Models Together: Common Threads . . . . . . . . . . . . . 144 8.3 Key Interactions in Climate Models . . . . . . . . . . . . . . . . . . . . 147 8.3.1 Intermixing of the Feedback Loops. . . . . . . . . . . . . . . 147 8.3.2 Water Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 8.3.3 Albedo Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . 149 8.3.4 Ocean Feedbacks . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 8.3.5 Sea-Level Change . . . . . . . . . . . . . . . . . . . . . . . . . . 150 8.4 Coupled Modes of Climate Variability . . . . . . . . . . . . . . . . . . 151 8.4.1 Tropical Cyclones . . . . . . . . . . . . . . . . . . . . . . . . . . 151 8.4.2 Monsoons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 Contents ix
  • 13. 8.4.3 El Niño. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 8.4.4 Precipitation and the Land Surface . . . . . . . . . . . . . . . 153 8.4.5 Carbon Cycle and Climate. . . . . . . . . . . . . . . . . . . . . 153 8.5 Challenges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 8.6 Applications: Integrated Assessment of Water Resources. . . . . . 155 8.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 Part III Using Models 9 Model Evaluation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 9.1 Evaluation Versus Validation. . . . . . . . . . . . . . . . . . . . . . . . . 161 9.1.1 Evaluation and Missing Information . . . . . . . . . . . . . . 162 9.1.2 Observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164 9.1.3 Model Improvement . . . . . . . . . . . . . . . . . . . . . . . . . 168 9.2 Climate Model Evaluation. . . . . . . . . . . . . . . . . . . . . . . . . . . 169 9.2.1 Types of Comparisons . . . . . . . . . . . . . . . . . . . . . . . 169 9.2.2 Model Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . 170 9.2.3 Using Model Evaluation to Guide Further Observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172 9.3 Predicting the Future: Forecasts Versus Projections. . . . . . . . . . 173 9.3.1 Forecasts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 9.3.2 Projections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 9.4 Applications of Climate Model Evaluation: Ozone Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174 9.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 10 Predictability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 10.1 Knowledge and Key Uncertainties . . . . . . . . . . . . . . . . . . . . . 178 10.1.1 Physics of the System. . . . . . . . . . . . . . . . . . . . . . . . 178 10.1.2 Variability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 10.1.3 Sensitivity to Changes. . . . . . . . . . . . . . . . . . . . . . . . 180 10.2 Types of Uncertainty and Timescales . . . . . . . . . . . . . . . . . . . 181 10.2.1 Predicting the Near Term: Initial Condition Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182 10.2.2 Predicting the Next 30–50 Years: Scenario Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 10.2.3 Predicting the Long Term: Model Uncertainty Versus Scenario Uncertainty . . . . . . . . . . . . . . . . . . . 189 10.3 Ensembles: Multiple Models and Simulations . . . . . . . . . . . . . 191 10.4 Applications: Developing and Using Scenarios. . . . . . . . . . . . . 195 10.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196 x Contents
  • 14. 11 Results of Current Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 11.1 Organization of Climate Model Results. . . . . . . . . . . . . . . . . . 199 11.2 Prediction and Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . 200 11.2.1 Goals of Prediction. . . . . . . . . . . . . . . . . . . . . . . . . . 201 11.2.2 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202 11.2.3 Why Models? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 11.3 What Is the Confidence in Predictions?. . . . . . . . . . . . . . . . . . 204 11.3.1 Confident Predictions . . . . . . . . . . . . . . . . . . . . . . . . 205 11.3.2 Uncertain Predictions: Where to Be Cautious. . . . . . . . 210 11.3.3 Bad Predictions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 11.3.4 How Do We Predict Extreme Events?. . . . . . . . . . . . . 214 11.4 Climate Impacts and Extremes . . . . . . . . . . . . . . . . . . . . . . . . 215 11.4.1 Tropical Cyclones . . . . . . . . . . . . . . . . . . . . . . . . . . 216 11.4.2 Stream Flow and Extreme Events. . . . . . . . . . . . . . . . 216 11.4.3 Electricity Demand and Extreme Events . . . . . . . . . . . 217 11.5 Application: Climate Model Impacts in Colorado . . . . . . . . . . . 217 11.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 12 Usability of Climate Model Projections by Practitioners. . . . . . . . . 221 12.1 Knowledge Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222 12.2 Interpretation and Translation. . . . . . . . . . . . . . . . . . . . . . . . . 224 12.2.1 Barriers to the Use of Climate Model Projections . . . . . 225 12.2.2 Downscaled Datasets . . . . . . . . . . . . . . . . . . . . . . . . 226 12.2.3 Climate Assessments . . . . . . . . . . . . . . . . . . . . . . . . 227 12.2.4 Expert Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 12.3 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 12.3.1 Ensembles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231 12.3.2 Uncertainty in Assessment Reports . . . . . . . . . . . . . . . 231 12.4 Framing Uncertainty. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232 12.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 13 Summary and Final Thoughts . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 13.1 What Is Climate? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 13.2 Key Features of a Climate Model. . . . . . . . . . . . . . . . . . . . . . 238 13.3 Components of the Climate System . . . . . . . . . . . . . . . . . . . . 239 13.3.1 The Atmosphere. . . . . . . . . . . . . . . . . . . . . . . . . . . . 240 13.3.2 The Ocean. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 13.3.3 Terrestrial Systems . . . . . . . . . . . . . . . . . . . . . . . . . . 242 13.3.4 Coupled Components . . . . . . . . . . . . . . . . . . . . . . . . 243 13.4 Evaluation and Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . 244 13.4.1 Evaluation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244 13.4.2 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 13.5 What We Know (and Do not Know) . . . . . . . . . . . . . . . . . . . 246 Contents xi
  • 15. 13.6 The Future of Climate Modeling . . . . . . . . . . . . . . . . . . . . . . 248 13.6.1 Increasing Resolution . . . . . . . . . . . . . . . . . . . . . . . . 248 13.6.2 New and Improved Processes. . . . . . . . . . . . . . . . . . . 249 13.6.3 Challenges. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250 13.7 Final Thoughts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251 Climate Modeling Text Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 255 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271 xii Contents
  • 16. About the Authors Andrew Gettelman is a Scientist in the Climate and Global Dynamics and Atmospheric Chemistry and Modeling Laboratories at the National Center for Atmospheric Research (NCAR). He is actively involved in developing atmosphere and chemistry components for global climate models at NCAR. Dr. Gettelman specializes in understanding and simulating cloud processes and their impact on climate, especially ice clouds. He has numerous publications on cloud physics representations in global models, as well as research on climate forcing and feed- backs. He has participated in several international assessments of climate models, particularly for assessing atmospheric chemistry. Gettelman holds a doctorate in Atmospheric Science from the University of Washington, Seattle. He is a recent recipient of the American Geophysical Union Ascent Award, and is a Thompson-Reuters Highly Cited Researcher. Richard B. Rood is a Professor in the Department of Climate and Space Sciences and Engineering (CLaSP) at the University of Michigan. He is also appointed in the School of Natural Resources and Environment. Prior to joining the University of Michigan, he worked in modeling and high performance computing at the National Aeronautics and Space Administration (NASA). His recent research is focused on the usability of climate knowledge and data in management planning and practice. He has started classes in climate-change problem solving, climate change uncer- tainty in decision making, climate-change informatics (with Paul Edwards). In addition to publications on numerical models, his recent publications include software engineering, informatics, political science, social science, forestry and public health. Rood’s professional degree is in Meteorology from Florida State University. He recently served on the National Academy of Sciences Committee on A National Strategy for Advancing Climate Modeling. He writes expert blogs on climate change science and problem solving for the Weather Underground Richard Rood is a Fellow of American Meteorological Society and a winner of the World Meteorological Organization’s Norbert Gerbier Award. xiii
  • 17. Introduction Human-caused climate change is perhaps the defining environmental issue of the early twenty-first century. We observe the earth’s climate in the present, but observations of future climate are not available yet. So in order to predict the future, we rely on simulation models to predict future climate. This book is designed to be a guide to climate simulation and prediction for the non-specialist and an entry point for understanding uncertainties in climate models. The goal is not to be simply a popular guide to climate modeling and prediction, but to help those using climate models to understand the results. This book provides background on the earth’s climate system and how it might change, a detailed qualitative analysis of how climate models are constructed, and a discussion of model results and the uncertainty inherent in those results. Throughout the text, terms in bold will be referenced in the glossary. References are provided as foot- notes in each chapter. Who uses climate models? Climate model users are practitioners in many fields who desire to incorporate information about climate and climate change into planning and management decisions. Users may be scientists and engineers in fields such as ecosystems or water resources. These scientists are familiar with models and the roles of models in natural science. In other cases, the practitioners are engineers, urban planners, epidemiologists, or architects. Though not necessarily familiar with models of natural science, experts in these fields use quantitative information for decision-making. These experts are potential users of climate models. We hope in the end that by understanding climate models and their uncertainties, the reader will understand how climate models are constructed to represent the earth’s climate system. The book is intended to help the reader become a more competent interpreter or translator of climate model output. Climate is best thought of as the distribution of weather states, or the probability of finding a particular weather state (usually described by temperature and pre- cipitation) at any place and time. Climate science seeks to be able to describe this distribution. In contrast, the goal of predicting the weather is to figure out exactly which weather state will occur for a specific place and time (e.g., what the high temperature and total precipitation will be on Tuesday for a given city). Even in xv
  • 18. modern societies, we are still more dependent on the weather than we like to admit. Think of a winter storm snarling traffic and closing schools. Windstorms and hailstorms can cause significant damage. Or think of the impact of severe tropical cyclones (also called hurricanes or typhoons, depending on their location), per- sonified and immortalized with names like Sandy, Andrew, or Katrina. Persistence (or absence) of weather events is also important. Too little rain (leading to drought and its resulting effects on agriculture and even contributing to wildfires) and too much rain (leading to flooding) are both damaging. Although we are tempted to speak of a single “climate,” there are many climates. Every place has its own. We build our societies to be comfortable during the expected weather events (the climate) in each place. Naturally, different climates mean different expected weather events, and our societies adapt. Buildings in Minneapolis are built to standards different from buildings in Miami or San Francisco. City planning is also different in different climates. Minneapolis has connected buildings so that people do not need to walk outside in winter, for example. Singapore has connected buildings so that people do not need to walk outside in heat and humidity. Not just the built environment, but the fabric of society may be different with local climates. In warmer climates, social life takes place outdoors, for example, or the flow of a day includes a rest period (siesta in Spanish) during the hottest period of the day. We construct our lives for possible and sometimes rare weather events: putting on snow tires for winter even though snow may not be around for over half a winter. We build into our lives the ability to deal with variations in the weather. A closet contains coats, gloves, hats, rain jackets, umbrellas, sun hats, and sun- glasses: We are ready for a range and for a distribution of possible weather states. Some events are rare: Snow occasionally has fallen in Los Angeles, for example. But it is usually the rare or extreme weather events that are damaging. These outliers of the distribution are typically damaging because they are unexpected and therefore we do not adequately prepare for them. Or rather, the expectation (probability) is so rare that it is not cost-effective for society to prepare for them. This applies to the individual as well: if you live in Miami your closet contains more warm weather gear, and less cold weather gear. It is unlikely you would be able to dress for temperatures well below freezing. The impacts of extreme weather are dependent on the climate of a place as well. For example, a few inches (cen- timeters) of snow is typical for Denver, Minneapolis, or Oslo, but it will shut down Rome or Atlanta. One inch (25 millimeters) of annual rainfall is typical for Cairo, but a disaster in most other places. Where the most damaging weather events occur are at the extremes of the cli- mate distribution. One problem is that we often do not know the distribution very well. Every time we hit a record (e.g., a high temperature, rainfall in 24 hours, days without rain), we expand the range of observed events a little, and we learn more about what might happen in a particular place. Because extreme events are rare, we do not really know the true chance of their occurrence. Think about your knowledge of the climate where you live or in a place you have visited several times. At first, you might not have a good grasp of what the seasons are like. After a few years, xvi Introduction
  • 19. you think you know how the seasons evolve. But there are always events that will surprise you. The record events are those that surprise everyone. What is the probability of a hurricane flooding Houston as New Orleans was flooded by Katrina? It has not happened since the city of Houston has been there, so we may not know. The extremes of the distribution of possible weather states are not well known. This creates even more of a problem when these extremes change. Changing the distribution of weather is what we mean by climate change. The cause of those changes might be natural or they might be human caused (anthropogenic). So how do we predict the future of weather and the distribution of weather that represents climate in a location? To understand and predict the future, we need a way to represent the system. In other words, we need a model. This book is about how we attempt to use models to represent the complex climate system and predict the future. Our goal is to explain and provide a better understanding of the models we use to describe the past, present, and future of the earth system. These are commonly known as climate models. Scientists often refer to these models formally as earth system models, but we use the term climate model. The purpose of this book is to demystify the models we use to simulate present and future climate. We explain how the models are constructed, why they are uncertain, and what level of confidence we should place in those models. Uncertainty is not a weakness. Understanding uncertainty is a strength, and a key part of using any model, including climate models. One key message is that the level of confidence depends on the questions we ask. What are we certain about in the future and why? What are we less certain of and why? For policy-makers, this is a critical issue. Understanding how climate models work and how we get there is an important step in making intelligent decisions using (or not using) these climate models. Climate models are being used not just to understand the earth system but also to provide input for policy decisions to address human-caused climate change. The direction of our environment and economy is dependent on policy options chosen based on results of these models. The chapters in Part I serve as a basic primer on climate and climate change. We hope to give readers an appreciation for the complexity and even beauty of the complex earth system so that they can better understand how we simulate it. In Part II, we discuss the mechanics of models of the earth system: How they are built and what they are trying to represent. Models are built to simulate each region of the climate system (e.g., atmosphere, ocean, and land), critical processes within each region, as well as critical interactions between regions and processes. Finally, in Part III, we focus on uncertainties and probabilities in prediction, with a focus on understanding what is known, what is unknown, and the degree of certainty. We also discuss how climate models are evaluated. In the concluding chapter, we discuss what we know, what we may learn in the future, and why we should (or should not) use models. Introduction xvii
  • 20. Part I Basic Principles and the Problem of Climate Forecasts
  • 21. Chapter 1 Key Concepts in Climate Modeling In order to describe climate modeling and the climate system, it is necessary to have a common conception of exactly what we are trying to simulate, and what a model actually is. What is climate? What is a model? How do we measure the uncertainty in a model? This chapter introduces some key terms and concepts. We start with some basic definitions of climate and weather. Everyone will come to this book with a preconceived definition of what climate and weather are, but separating these concepts is important for understanding how modeling of climate and weather are similar and why they are different. It also makes sense to discuss what a model is. Even if we do not realize it, we use models all the time. So we describe a few different conceptual types of models and put climate models in context. Finally we introduce the concept of uncertainty. As we discuss later in the book, models may have errors and still be useful, but this requires understanding the errors (the uncertainties) and understanding where they come from. Most of these concepts are common to many types of modeling, and we provide examples throughout the text. 1.1 What Is Climate? Climate is perhaps easiest to explain as the distribution of possible weather states. On any given day and in any given place, the history of weather events can be compiled into a distribution with probabilities of what the weather might be (see Fig. 1.1). This figure is called a probability distribution function, representing a probability distribution.1 The horizontal axis represents a value (e.g., tempera- ture), and the vertical axis represents the probability (or frequency of occurrence) of that event’s (i.e., a given temperature) occurring or having occurred. If based on observations, then the frequency can be the number of times a given temperature occurs. The higher the line, the more probable the event. The most frequent 1 There is quite a bit of statistics in climate, by definition. For a technical background, a good reference is Devore, J. L. (2011). Probability and Statistics for Engineering and the Sciences, 8th ed. Duxbury, MA: Duxbury Press. Any specific aspect of statistics (e.g., standard deviation, probability distribution function) can be looked up on Wikipedia (www.wikipedia.com). © The Author(s) 2016 A. Gettelman and R.B. Rood, Demystifying Climate Models, Earth Systems Data and Models 2, DOI 10.1007/978-3-662-48959-8_1 3
  • 22. occurrence is the highest probability (the mode). The total area under the line is the probability. If the total area is given a value of 1, then the area under each part of the curve is the fractional chance that an event exceeding some threshold will occur. In Fig. 1.1, the area to the right of point T1 is the probability that the temperature will be greater than T1, which might be about 20 % of the curve. The mean, or expected value, is the weighted average of the points. It need not be the point with the highest frequency. The mean value is the point at which half the probability (50 %) is on one side of the mean, and half on the other. The median is the value at which half the points are on one side and half on the other. Here is an important and obvious question: How can we predict the climate (for next season, next year, or 50 years from now) if we cannot predict the weather (in 5 or 10 days)? The answer is, we use probability: The climate is the distribution of probable weather. The weather is a particular location in that distribution, and it is conditional on the current state of the system. The chance of a hurricane hitting Miami next week depends mostly on whether one has formed or is forming, and if one has formed, whether it is heading in the direction of Miami. As another example, the chance of having a rainy day in Seattle in January is high. But, given a particular day in January, with a weather state that might be pushing storms well to the north or south, the probability of rain the next day might be very low. In 50 Januaries, though, the probability of rain would be high. So climate is the distri- bution of weather (sometimes unknown). Weather is a given state in that distri- bution (often uncertain). In a probability distribution of climate, the probabilities and the curve change over time: In the middle latitudes, the chance of snow is higher in winter than in summer. The curves will look different from place to place: Some climates have narrow distributions (see Fig. 1.2a), which means the weather is often very close to the average. Think about Hawaii, where the average of the daily highs and lows do not change much over the course of the year or Alaska, where the daily highs and lows may be the same as in Hawaii in summer, but not in winter. For Alaska the annual distribution of temperature is a very broad distribution (more like Fig. 1.2b). Frequency of Occurrence Value (e.g., temperature) Hot Cold Mean T1 Fig. 1.1 A probability distribution function with the value on the horizontal axis, and the frequency of occurrence on the vertical axis 4 1 Key Concepts in Climate Modeling
  • 23. Of course, even in Hawaii, extreme events occur. For a distribution like precipi- tation, which is bounded at one end by zero (no precipitation) the distribution might be “skewed” (Fig. 1.2c) with a low frequency of high events marking the ‘extreme’. As events are more extreme (think about hurricanes like Katrina or Sandy), there are fewer such events in the historical record. There may even be possible extreme events that have not occurred. So our description of climate is incomplete or uncertain. This is particularly true for rare (low-probability) events. These events are also the events that cause the most damage. One aspect of shifting distributions is that extremes can change a lot more than the mean value (see Fig. 1.3). The mean is the value at which the area is equal on each side of the distribution. The mean is the same as the median if the distribution is symmetric. Simply moving the distribution to the right or left causes the area (meaning, the probability) beyond some fixed threshold to increase (or decrease). If the curve represents temperature, then shifting it to warmer temperatures (Fig. 1.3a) decreases the chance of cold events and really increases the chance of warm events. But note that some cold events still occur. Also, you can change the distribution without changing the mean by making the distribution wider (or broader). The mathematical term for the width of a distribution is variance, a statistical term for variability. This situation is illustrated in Fig. 1.3b. The mean is unchanged in Narrow (a) (b) (c) Wide Uneven (Skewed) Fig. 1.2 Different probability distribution functions: a narrow, b wide and c skewed distributions 1.1 What Is Climate? 5
  • 24. Fig. 1.3b, but the chance of exceeding a given threshold for warm or cold tem- peratures changes. In other words, the climate (particularly a climate extreme) changes dramatically, even if the mean stays the same. The change need not be symmetric: Hot may change more than cold (or vice versa). Figure 1.3c is not a symmetric distribution. The key is to see climate as the distribution, not as a fixed number (often the mean). This brings us to the fundamental difference between weather and climate forecasting. In weather forecasting,2 we need to know the current state of the system and have a model for projecting it forward. Often the model can be simple. One “model” we all use is called persistence: What is the weather now? It may be like that tomorrow. In many places (e.g., Hawaii), such a model is not bad, but sometimes it is horribly wrong (e.g., when a hurricane hits Hawaii). So we try to use more sophisticated models, now typically numerical ones. These models go by the name numerical weather prediction (NWP) models, and they are used to “forecast” the evolution of the earth system from its current state. Increase in mean Lots more ‘hot’ (some off scale: records) (a) (b) (c) Less cold Increase in variance More hot and cold: both off scale Same mean Increase in mean and variance Lots more hot, off scale Less cold Fig. 1.3 Shifting probability distribution functions are illustrated in different ways going from the blue to red distribution. The thick lines are the distribution, the thin dashed lines are the mean of the distributions and the dotted lines are fixed points to illustrate probability. Shown is a increase in mean, b increase in variance (width), c increase in mean and variance 2 For an overview of the history of weather forecasting, see Edwards, P. N. (2013). A Vast Machine: Computer Models, Climate Data, and the Politics of Global Warming. Cambridge, MA: MIT Press. 6 1 Key Concepts in Climate Modeling
  • 25. Climate forecasting uses essentially the same type of model. But the goal of climate forecasting is to characterize the distribution. This may mean running the model for a long time to describe the distribution of all possible weather states correctly. If you start up a weather model from two different states (two different days), you hope to get a different answer each time. But for climate, you want to get the same distribution (the same climate), regardless of when the model started. We return to these examples again later. 1.2 What Is a Model? A model, in essence, is a representation of a system. A model can be physical (building blocks) or abstract (an image on paper like a plan, or in your head). Abstract models can also be mathematical (monetary or physical totals in a spreadsheet). Ordinary physics that describes how cars go (or, more importantly, how they stop suddenly) is a model for how the physical world behaves. Numbers themselves are abstract models. A financial statement is a model of the money and resource flows of a household, corporation or country. Models are all around us, and we use them to abstract, make tractable and understand our human and natural environment. As a concrete example, think about different “models” of a building. There can be many types of models of a building. A physical model of the building would usually be at a smaller scale that you can hold in your hand. There are several different abstract models of a building, and they are used for different purposes. Architects and engineers produce building plans: two-dimensional representations of the building, used to construct and document the building. Some of these are highly detailed drawings of specific parts of the building, such as the exterior, or the electrical and plumbing systems. The engineer may have built not just a physical model of the building, but perhaps even a more detailed structural model designed to understand how the building will react to wind or ground motion (earthquakes). Increasingly, these models are “virtual”: The structure is simulated on a computer. We are familiar with all these sorts of model, but there are other more abstract models that deal with flows and budgets of materials or money. The owner and builder also probably have a spreadsheet model of the costs of construction of the building. This financial model is not certain, because it is really an estimate (or forecast, see below) of all the different costs of construction. And, finally, the owner likely has another model of the financial operation of the building: the money borrowed to finance the building, any income from a commercial building, and the costs of maintenance and operations of the building. The operating plan is really a projection into the future: It depends on a lot of uncertainties, like the cost of electricity or the value of the income from a building. The projection depends on these inputs, which the spreadsheet does not try to predict. The prediction is con- ditional on the inputs. 1.1 What Is Climate? 7
  • 26. Models All Around Us Models are everywhere in our world. Many models are familiar and physical, such as a small-scale model of a building or a bridge, or a mockup of a satellite or an airplane. Some models we use every day are made up of numbers. Many people use a model with numbers to manage income and expenses, savings and debts; that is, a budget. When the model of a bridge is placed in a computer-assisted design program, or a financial budget is put into a spreadsheet on a personal computer, then one has a “numerical” model. These models have a set of mathematical equations that behave with a specific set of rules, principles or laws. Climate models are numerical models that calculate budgets of mass, momentum (velocity) and energy based on the physical laws of conservation. For example, energy is conserved (neither created or destroyed) and can, therefore, be counted. The physical laws on which climate models are based are discussed in more detail in Chap. 4. Weather and climate are dynamical systems; that is, they evolve over time. We rely on models of dynamical systems for many aspects of modern life. Here we illustrate a few examples of models that affect our everyday lives. Climate models are closely related to weather forecast models; both simulate how fluids (air or water) move and interact, and how they exchange heat. An obvious example of a model that affects daily life is the weather forecast model, which is used in planning by individuals, governments, corporations and finance. The exact same physical principles of fluid flow are used to simulate a process in a chemical plant that takes different substances as liquids or gasses, reacts them together under controlled temperature and pressure, and produces new substances. Water and sewage treatment plants share similar principles and models. Internal combustion engines used for cars, trucks, ships and power plants are developed using models to understand how fuel enters the engine and produces heat, and that heat produces motion. Airplanes are also developed using modeling of the airflow around an aircraft. In this case, computational modeling has largely replaced design using wind tunnels. All of these models involve fluid flow and share physical princi- ples with climate models. The details of the problem, for example, flow in pipes as contrasted to flow in the free atmosphere, define the specific requirements for the model construction. So do you trust a model? Intuitively, we trust models all the time. You are using the results of a model every time you start your car, flush your toilet, turn on a light switch or get in an airplane. You count on models when you drive over a bridge. When NASA sends a satellite or rover to another planet, the path and behavior of the space vehicle relies on a model of simple physics describing complex systems. Models do not just describe physical objects. Models of infectious diseases played an important role in management of the 2014 outbreak of Ebola. One function of models is to provide plausible representations of events to come, 8 1 Key Concepts in Climate Modeling
  • 27. and then to place people into those plausible futures. It is a way to anticipate and manage complexity. Though most times these models do not give an exact story of the future, the planning and decision making that comes from these modeling exercises improves our ability to anticipate the unexpected and to manage risk. Think of modeling as a virtual, computational world in which to exercise the practice of trial and error, and therefore, a method for reducing the “error” in trial and error. Reducing these errors saves lives and property. Models reduce the chance of errors: Airplanes do not regularly fall out of the sky, bridges do not normally collapse and chemical plants do not typically leak. Ultimately, trust of models is anchored in evaluation of models compared to observations and experiences. Weather models are evaluated every day with billions of observations as well as billions of individuals’ experiences. Trust is often highly personal. By many objective measures, weather models have remarkable accuracy, for example, letting a city know more than five days in advance that a major tropical cyclone is likely to make landfall near that city. Of course, if the tropical cyclone makes landfall just 60 miles (100 km) away from the city, many people might conclude the models cannot be trusted. Objectively, however, a model that simulated the tropical cyclone and represented its evolution with an error of 60 miles (100 km) on a globe that spans many thousands of miles can, also, be construed as being quite accu- rate. This represents the fact that models provide plausible futures that inform decision making. Like weather models, climate models are evaluated with billions of observations and investigations of past events. The results of models have been scrutinized by thousands of scientists and practitioners. With virtual certainty, we know the Earth will warm, sea level will rise, ice will melt and weather will change. They provide plausible futures, not prescribed futures. There are uncertainties, and there will always be uncertainties. However, our growing experiences and vigilant efforts to evaluate and improve will help us to understand, manage and, sometimes, reduce uncertainty. As the models improve, trust and usability increase. There remains some uncertainty in most physical models, but that can be accounted for, and we discuss uncertainty, and its value in modeling, at length. Our world is completely dependent on physical models, and their success is seen around us in the fact that much of the world “works” nearly all of the time. Models are certain enough to use in dangerous contexts that are both mundane and ubiquitous. We answer the question of whether we should trust models and make changes in our lives based on their results every time we get in an elevator or an airplane. There is no issue of should we trust models; we have been doing it for centuries since the first bridge was constructed, the first train left a station or the first time a building was built more than one story high. 1.2 What Is a Model? 9
  • 28. 1.3 Uncertainty Forecasting involves projecting what we know, using a model, onto what we do not know. The result is a prediction or forecast. Forecasts may be wrong, of course, and the chance of them being wrong is known as uncertainty. Uncertainty can come from several different sources, but this is particularly the case when we think about climate and weather. One way to better characterize uncertainty is to divide it into categories based on model, scenario and initial conditions.3 1.3.1 Model Uncertainty Obviously, a model can be wrong or have structural errors (model uncertainty). For example, if one were modeling how many tires a delivery company would need for their trucks in a year and assumed that the tires last 10,000 miles, when they actually only last 7,000 miles, the forecast of tire use is probably wrong. If you assumed each truck would drive 20,000 miles per year and tires last 10,000 miles, the trucks would need two sets of tires. However, what if the trucks drove only 14,000 miles per year and each set of tires lasted only 7,000 miles, (still needing just two sets of tires)? Then the forecast might be right, but the tire forecast would be right for the wrong reason: in this case, a cancellation of errors. 1.3.2 Scenario Uncertainty The preceding example also illustrates another potential uncertainty faced in climate modeling: scenario uncertainty. The scenario4 is the uncertainty in the future model inputs. In the tire forecast, the scenario assumed 20,000 miles per truck each year. But the scenario was wrong. If the tire forecast model was correct (or “per- fect”) and tires lasted 10,000 miles, but the mileage was incorrect (14,000 vs. 20,000 assumed), then the forecast will still be incorrect, even if the model is perfect. If the actual mileage continued to deviate from the assumption (14,000 miles), then the forecast over time will continue to be incorrect. If one is concerned with the total purchase of tires and total cost, then the situation becomes even more uncertain. Other factors (e.g., growth of the company, change in type of tires) may make forecasting the scenario, or inputs to the model, even more uncertain, even if the model as it stands is perfect. As the timescale of the model looks farther into the 3 This definition of uncertainty has been developed by Hawkins, E., & Sutton, R. (2009). “The Potential to Narrow Uncertainty in Regional Climate Prediction.” Bulletin of the American Meteorological Society, 90(8): 1095–1107. 4 For a discussion of climate scenarios, see Chap. 10. 10 1 Key Concepts in Climate Modeling
  • 29. future, more and more different “variables” become uncertain (e.g., new types of tire, new trucks, the cost of tires). These variables that cannot be predicted, but have to be assumed, are often called parameters. Scenario uncertainty logically domi- nates uncertainty farther into the future (see Chap. 10 for more detail). 1.3.3 Initial Condition Uncertainty Finally, there is uncertainty in the initial state of the system used in the model, or initial condition uncertainty. In our tire forecast, to be specific about how many tires we will need in the current or next year, we also need to know what the current state of tires is on all the trucks. Changes in the current state of tires will have big effects on the near-term forecast: If all trucks have 6,000 or 8,000 miles on their tires, there will be more purchases of tires in a given year than if they are all brand new. Initial condition uncertainty is a similar problem in weather forecasting. As we will discuss, some aspects of the climate system, particularly related to the oceans, for example, have very long timescales and “memory,” so that knowing the state of the oceans affects climate over several decades. However, over long timescales (longer than the timescale of a process), these uncertainties fade. If you want to know how many tires will be needed over 5 or 10 years, the uncertainty about the current state of tires (which affects only the first set of replacements) on the total number of tires needed is small. 1.3.4 Total Uncertainty In climate prediction, we must address all three types of uncertainties—model uncertainty, scenario uncertainty and initial condition uncertainty—to estimate the total uncertainty in a forecast. They operate on different time periods: Initial con- dition uncertainty matters most for the short term (i.e., weather scales, or even seasonal to annual, in some cases), and scenario uncertainty matters most in the longer term (decades to centuries). Model uncertainty operates at all timescales and can be “masked” or hidden by other uncertainties. The complicated nature of these uncertainties makes prediction both harder and easier. It certainly makes it easier to understand and characterize the uncertainty in a forecast. One of our goals is to set down ideas and a framework for understanding how climate predictions can be used. Judging the quality of a prediction is based on understanding what the uncertainty is and where it comes from. Some comes from the model and some comes from how the experiment is set up (the initial conditions and the scenario). 1.3 Uncertainty 11
  • 30. 1.4 Summary Climate can best be thought of as a distribution of all possible weather states. What matters to us is the shape of the distribution. Weather is where we are on the distribution at any point in time. The extreme values in the distribution, that usually have low probability, are hard to predict, but that is where most of the impacts lie. Weather and climate models are similar, except weather models are designed to predict the exact location on a distribution, while climate models describe the distribution itself. We use models all the time to predict the future. Some models are physical objects, some are numerical models. Climate models are one type of a numerical model: As we shall see, they can often be thought of as giant spreadsheets that keep track of the physical properties of the earth system, the same way a budget keeps track of money. Uncertainty in climate models has several components. They are related to the model itself, to the initial conditions for the model (the starting point) and to the inputs that affect the model over time in a “scenario.” All three must be addressed for a model to be useful. Uncertainty is not to be feared. Uncertainty is not a failure of models. Uncertainty can be understood and used to assess confidence in predictions. Key Points • Climate is the distribution of possible weather states at any place and time. • Extremes of climate are where the impacts are. • We use models all the time to predict the future, some models are even numerical. • Weather and climate models are similar but have different goals. • Uncertainty has several different parts (model, scenario, initial conditions). Open Access This chapter is distributed under the terms of the Creative Commons Attribution- Noncommercial 2.5 License (http://creativecommons.org/licenses/by-nc/2.5/) which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. The images or other third party material in this chapter are included in the work’s Creative Commons license, unless indicated otherwise in the credit line; if such material is not included in the work’s Creative Commons license and the respective action is not permitted by statutory regulation, users will need to obtain permission from the license holder to duplicate, adapt or reproduce the material. 12 1 Key Concepts in Climate Modeling
  • 31. Chapter 2 Components of the Climate System We experience climate generally at the surface of the earth. This is the intersection of a number of different and distinct parts of the climate system. Understanding the different components of the climate system is critical for being able to simulate the system. As we will discuss, the climate system is typically simulated as a set of building blocks, from each individual process (i.e., the condensation of water to form clouds) collected into a model of one part or component of the system (i.e., the atmosphere), and then coupled to other components of the system (i.e., ocean, land, ice). Understanding and then representing in a model the different interactions between processes and then between components is critical for being able to build a representation of the system: a climate model. In this chapter we describe the basic parts of the earth system that comprise the climate system, some of the key scientific principles and critical processes neces- sary to simulate each of these components. This forms the background to a dis- cussion of how climate might change (see Chap. 3) and a more detailed discussion of each component and how it is simulated (Sect. 2.2, Chaps. 5–8). We discuss the key components of the earth system, as well as some of the critical interactions (discussed in more detail in Chap. 8). 2.1 Components of the Earth System Figure 2.1 represents a schematic of many of the important components of the earth system that govern and regulate climate. Broadly, there are three different regions of the planet: the atmosphere, the oceans and the land (or terrestrial) surface. In addition to these general regions, we also speak of a cryosphere, the snow and ice covered regions of the planet. This fourth “sphere” spans the ocean (as sea ice) and the terrestrial surface (as glaciers, snow and ice sheets). We address the cryosphere in discussions of the ocean and terrestrial surface. While modeling the surface of the earth is commonly thought of as just modeling the land surface, it also includes the cryosphere (ice and snow) that sits on land. The term terrestrial is used to encompass all these spheres, though the common term land is also used. © The Author(s) 2016 A. Gettelman and R.B. Rood, Demystifying Climate Models, Earth Systems Data and Models 2, DOI 10.1007/978-3-662-48959-8_2 13
  • 32. These are the traditional physical components of the earth’s climate system. We also introduce two more “spheres.” An important fifth component of the system is the biosphere: the living organisms on the planet, again, which span the terrestrial surface (plants, organisms in the soil, and animals) as well as the ocean (fish and plants in the ocean). We discuss the biosphere as part of both the ocean and terrestrial surface. Finally, although humans are technically part of the biosphere, our large “footprint” and impact on the global environment and the climate system is large enough that we can define a separate sphere for human activity and impacts called the anthroposphere (see Chap. 3). 2.1.1 The Atmosphere The atmosphere is usually the first part of the climate system we naturally think of. It is literally the air we breathe: mostly inert nitrogen (78 %) with oxygen (16 %) and then other trace gases (argon, water vapor, carbon dioxide). The oxygen is a by-product of the respiration (“breathing”) of plants and other organisms: It is evidence of life on earth. The oxygen in the atmosphere did not exist before the emergence of living organisms.1 Oxygen is emitted by plants as an outcome of photosynthesis that removes carbon from carbon dioxide. Oxygen reacts with materials (rock and ore) at the earth’s surface (oxidation) and disappears from the atmosphere. One of the most common reactants is iron (iron oxide = rust), which is responsible for the red color of many rocks. Unless organisms continue to produce oxygen, it will disappear from the atmosphere. It would take a long time however: hundreds of thousands to millions of years. But it is the trace species—water vapor, carbon dioxide and methane—known as the greenhouse gases, that are most important in understanding the climate system and how climate might change. Ocean Ice (cryosphere) Sun Biosphere Atmosphere Anthroposphere Terrestrial (land) Fig. 2.1 The Earth system. The climate system contains different spheres (components): atmosphere, ocean, terrestrial, cryosphere, biosphere and anthroposphere 1 Kasting, J. F., & Siefert, J. L. (2002). “Life and the Evolution of Earth’s Atmosphere.” Science, 296(5570): 1066–1068. 14 2 Components of the Climate System
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