Factor Separation in the Atmosphere: Applications and Future Prospects

doi:10.1017/CBO9780511921414

Modeling atmospheric processes in order to forecast the weather or future climate change is an extremely complex and computationally intensive undertaking. One of the main difficulties is that there are a huge number of factors that need to be taken into account, some of which are still poorly understood. The Factor Separation (FS) method is a computational procedure that helps deal with these nonlinear factors. In recent years many scientists have applied FS methodology to a range of modeling problems, including paleoclimatology, limnology, regional climate change, rainfall analysis, cloud modeling, pollution, crop growth, and other forecasting applications. This book is the first to describe the fundamentals of the method, and to bring together its many applications in the atmospheric sciences. The main audience is researchers and graduate students using the FS method, but it is also of interest to advanced students, researchers, and professionals across the atmospheric sciences.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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List of contributors
pp vii-xii
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Foreword
pp xiii-xiv
- By Roger A. Pielke, Sr
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Preface
pp xv-xviii
- By Pinhas Alpert
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1 - Introduction
pp 1-4
- By P. Alpert, Tel Aviv University, Israel
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2 - The Factor Separation Methodology and the fractional approach
pp 5-10
- By T. Sholokhman, Tel Aviv University, Israel, P. Alpert, Tel Aviv University, Israel
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3 - Investigation of the Factor Separation features for basic mathematical functions
pp 11-27
- By T. Sholokhman, Tel Aviv University, Israel, P. Alpert, Tel Aviv University, Israel
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4 - Factor Separation Methodology and paleoclimates
pp 28-52
- By A. Berger, Universitá Catholique de Louvain, Belgium, M. Claussen, Max Planck Institute for Meteorology, Germany, Q. Yin, Université Catholique de Louvain, Belgium
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5 - Meso-meteorology: Factor Separation examples in atmospheric meso-scale motions
pp 53-66
- By P. Alpert
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6 - Using the Alpert–Stein Factor Separation Methodology for land-use land-cover change impacts on weather and climate process with the Regional Atmospheric Modeling System
pp 67-86
- By A. Beltrán-Przekurat, University of Colorado, USA, R. A. Pielke, Sr, University of Colorado, USA, J. L Eastman, WindLogics Inc., USA, G. T. Narisma, Ateneo de Manila University, Philippines, A. J. Pitman, University of New South Wales, Australia, M. Lei, Purdue University, USA, D. Niyogi, Purdue University, USA
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7 - Application of Factor Separation to heavy rainfall and cyclogenesis: Mediterranean examples
pp 87-119
- By R. Romero, Universitat de les Illes Balears, Spain
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8 - Experience in applying the Alpert–Stein Factor Separation Methodology to assessing urban land-use and aerosol impacts on precipitation
pp 120-145
- By S. C. van den Heever, Colorado State University, USA, C. Rozoff, University of Wisconsin-Madison/CIMSS, USA, W. R. Cotton, Colorado State University, USA
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9 - Free and forced thermocline oscillations in Lake Tanganyika
pp 146-162
- By O. Gourgue, Université Catholique de Louvain, Belgium, E. Deleersnijder, Université Catholique de Louvain, Belgium, V. Legat, Université Catholique de Louvain, Belgium, E. Marchal, N-Side s.a. 6 Chemin du Cyclotron, Belgium, L. White, Princeton University, USA
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10 - Application of the Factor Separation Methodology to quantify the effect of waste heat, vapor and pollution on cumulus convection
pp 163-170
- By G. W. Reuter, University of Alberta, Canada
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11 - The use of the Alpert–Stein Factor Separation Methodology for climate variable interaction studies in hydrological land surface models and crop yield models
pp 171-183
- By D. Niyogi, Purdue University, USA, R. Mera, University of California at Los Angeles, USA, Yongkang Xue, University of California at Los Angeles, USA, G. Wilkerson, North Carolina State University, USA, F. Booker, North Carolina State University, USA
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12 - Linear model for the sea breeze
pp 184-195
- By T. Sholokhman, Tel Aviv University, Israel, P. Alpert, Tel Aviv University, Israel
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13 - Experience and conclusions from the Alpert–Stein Factor Separation Methodology
pp 196-218
Ensemble data assimilation and forecasting applications
- By D. Rostkier-Edelstein, Israel Institute for Biological Research, Israel, J. P. Hacker, National Center for Atmospheric Research, USA
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14 - Tagging systematic errors arising from different components of dynamics and physics in forecast models
pp 219-236
- By T. N. Krishnamurti, Florida State University, USA, Vinay Kumar, Florida State University, USA
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15 - Some difficulties and prospects
pp 237-244
- By P. Alpert, Tel Aviv University, Israel, T. Sholokhman, Tel Aviv University, Israel
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16 - Summary
pp 245-249
- By P. Alpert, Tel Aviv University, Israel
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Appendix: References employing the Alpert–Stein Factor Separation Methodology
pp 250-253
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References
pp 254-271
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Index
pp 272-274
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Factor Separation in the Atmosphere

Applications and Future Prospects

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

List of contributors
pp vii-xii

Foreword
pp xiii-xiv

Preface
pp xv-xviii

1 - Introduction
pp 1-4

2 - The Factor Separation Methodology and the fractional approach
pp 5-10

3 - Investigation of the Factor Separation features for basic mathematical functions
pp 11-27

4 - Factor Separation Methodology and paleoclimates
pp 28-52

5 - Meso-meteorology: Factor Separation examples in atmospheric meso-scale motions
pp 53-66

6 - Using the Alpert–Stein Factor Separation Methodology for land-use land-cover change impacts on weather and climate process with the Regional Atmospheric Modeling System
pp 67-86

7 - Application of Factor Separation to heavy rainfall and cyclogenesis: Mediterranean examples
pp 87-119

8 - Experience in applying the Alpert–Stein Factor Separation Methodology to assessing urban land-use and aerosol impacts on precipitation
pp 120-145

9 - Free and forced thermocline oscillations in Lake Tanganyika
pp 146-162

10 - Application of the Factor Separation Methodology to quantify the effect of waste heat, vapor and pollution on cumulus convection
pp 163-170

11 - The use of the Alpert–Stein Factor Separation Methodology for climate variable interaction studies in hydrological land surface models and crop yield models
pp 171-183

12 - Linear model for the sea breeze
pp 184-195

13 - Experience and conclusions from the Alpert–Stein Factor Separation Methodology
pp 196-218

14 - Tagging systematic errors arising from different components of dynamics and physics in forecast models
pp 219-236

15 - Some difficulties and prospects
pp 237-244

16 - Summary
pp 245-249

Appendix: References employing the Alpert–Stein Factor Separation Methodology
pp 250-253

References
pp 254-271

Index
pp 272-274

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Factor Separation in the Atmosphere

Applications and Future Prospects

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