Professor Paul Williams

Professor of Atmospheric Science

Web Pages:

My Research:



  • Professor of Atmospheric Science
  • Royal Society University Research Fellow

Research Interests:

  • Small-scale features in the atmosphere and ocean
  • Clear-air turbulence
  • Numerical modelling and time-stepping
  • Stochastic parameterisation

Research Projects:

  • Improving predictive climate models through stochastic parameterization (Royal Society URF)
  • New insights into atmospheric turbulence (Royal Society research grant)
  • Philip Leverhulme Prize in Earth, Ocean and Atmospheric Sciences

Postdoctoral & graduate student supervision:

  • Dr Martin Airey is a postdoc working on atmospheric sensors.
  • Dr Nicola Howe is a postdoc working on stochastic eddy parameterisation in ocean models.
  • Dr Keri Nicoll is NERC Knowledge Exchange Fellow working with the aviation and radiosonde industries.
  • Mr Luke Storer is a graduate student working on aviation turbulence.
  • Miss Julie Chenery is a graduate student working on ocean modelling.
  • Mr Graeme Marlton is a graduate student working on atmospheric turbulence measurements.

Other interests:

  • Editor of Geophysical Research Letters
  • Science communication

Recent Publications:

Publications for

Jump to: 2017 | 2016 | 2015 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002
Number of items: 51.


Storer, L., Williams, P. and Joshi, M. (2017) Global response of clear-air turbulence to climate change. Geophysical Research Letters. ISSN 0094-8276 (In Press)

Airey, M., Harrison, G., Nicoll, K., Williams, P. and Marlton, G. (2017) A miniature oscillating microbalance for sampling ice and volcanic ash from a small airborne platform. Review of Scientific Instruments, 88 (8). 086108. ISSN 0034-6748 doi: 10.1063/1.4998971 (In Press)

Williams, P. D. (2017) Increased light, moderate, and severe clear-air turbulence in response to climate change. Advances in Atmospheric Sciences, 34 (5). pp. 576-586. ISSN 0256-1530 doi: 10.1007/s00376-017-6268-2

Chun, H.-Y., Kim, J.-H., Lee, D.-B., Kim, S.-H., Strahan, M., Pettegrew, B., Gill, P., Williams, P. D., Schumann, U., Tenenbaum, J., Lee, Y.-G., Choi, H.-W., Song, I.-S., Park, Y.-J. and Sharman, R. D. (2017) Research collaborations for better predictions of aviation weather hazards. Bulletin of the American Meteorological Society, 98 (5). ES103-ES107. ISSN 1520-0477 doi: 10.1175/bams-d-17-0010.1

Berner, J., Achatz, U., Batte, L., Bengtsson, L., De La Camara, A., Christensen, H. M., Colangeli, M., Coleman, D. R. B., Crommelin, D., Dolaptchiev, S. I., Franzke, C. L. E., Friederichs, P., Imkeller, P., Jarvinen, H., Juricke, S., Kitsios, V., Lott, F., Lucarini, V., Mahajan, S., Palmer, T. N., Penland, C., Sakradzija, M., Von Storch, J.-S., Weisheimer, A., Weniger, M., Williams, P. D. and Yano, J.-I. (2017) Stochastic parameterization: towards a new view of weather and climate models. Bulletin of the American Meteorological Society, 98 (3). pp. 565-588. ISSN 1520-0477 doi: 10.1175/BAMS-D-15-00268.1


Williams, P. D., Howe, N. J., Gregory, J. M., Smith, R. S. and Joshi, M. M. (2016) Improved climate simulations through a stochastic parameterization of ocean eddies. Journal of Climate, 29 (24). pp. 8763-8781. ISSN 1520-0442 doi: 10.1175/JCLI-D-15-0746.1

Marston, J. B. and Williams, P. D. (2016) Focus on stochastic flows and climate statistics. New Journal of Physics, 18 (9). 090201. ISSN 1367-2630 doi: 10.1088/1367-2630/18/9/090201

Harrison, G., Marlton, G., Williams, P. and Nicoll, K. (2016) Coordinated weather balloon solar radiation measurements during a solar eclipse. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374 (2077). 20150221. ISSN 1364-503X doi: 10.1098/rsta.2015.0221 (themed issue: Atmospheric effects of solar eclipses stimulated by the 2015 UK eclipse)

Marlton, G. J., Williams, P. D. and Nicoll, K. A. (2016) On the detection and attribution of gravity waves generated by the 20 March 2015 solar eclipse. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374 (2077). 20150222. ISSN 1364-503X doi: 10.1098/rsta.2015.0222 (themed issue: Atmospheric effects of solar eclipses stimulated by the 2015 UK eclipse)

Williams, P. D. and Joshi, M. M. (2016) Clear-air turbulence in a changing climate. In: Sharman, R. and Lane, T. (eds.) Aviation turbulence: processes, detection, prediction. Springer, pp. 465-480. ISBN 9783319236292 doi: 10.1007/978-3-319-23630-8_23

Kim, J.-H., Chan, W. N., Sridhar, B., Sharman, R. D., Williams, P. D. and Strahan, M. (2016) Impact of the North Atlantic Oscillation on transatlantic flight routes and clear-air turbulence. Journal of Applied Meteorology and Climatology, 55 (3). pp. 763-771. ISSN 1558-8432 doi: 10.1175/JAMC-D-15-0261.1

Williams, P. D. (2016) Transatlantic flight times and climate change. Environmental Research Letters, 11 (2). 024008. ISSN 1748-9326 doi: 10.1088/1748-9326/11/2/024008


Brown, S., Aplin, K. L., Jenkins, K. , Mander, S. , Walsh, C. and Williams, P. D. (2015) Is there a Rhythm Of The Rain? An analysis of weather in popular music. Weather, 70 (7). pp. 198-204. ISSN 0043-1656 doi: 10.1002/wea.2464

Amezcua, J. and Williams, P. D. (2015) The composite-tendency Robert–Asselin–Williams (RAW) filter in semi-implicit integrations. Quarterly Journal of the Royal Meteorological Society, 141 (688). pp. 764-773. ISSN 1477-870X doi: 10.1002/qj.2391

von Larcher, T. and Williams, P. D., eds. (2015) Modeling atmospheric and oceanic flows: insights from laboratory experiments and numerical simulations. John Wiley & Sons, Hoboken, pp368. ISBN 9781118855935

Franzke, C. L. E., O'Kane, T. J., Berner, J., Williams, P. D. and Lucarini, V. (2015) Stochastic climate theory and modeling. Wiley Interdisciplinary Reviews: Climate Change, 6 (1). pp. 63-78. ISSN 1757-7799 doi: 10.1002/wcc.318

Marlton, G. J., Giles Harrison, R., Nicoll, K. A. and Williams, P. D. (2015) Note: A balloon-borne accelerometer technique for measuring atmospheric turbulence. Review of Scientific Instruments, 86 (1). 016109. ISSN 0034-6748 doi: 10.1063/1.4905529


Williams, P. D. and Joshi, M. M. (2013) Intensification of winter transatlantic aviation turbulence in response to climate change. Nature Climate Change, 3. pp. 644-648. ISSN 1758-6798 doi: 10.1038/nclimate1866

Williams, P. D. (2013) Achieving seventh-order amplitude accuracy in leapfrog integrations. Monthly Weather Review, 141 (9). pp. 3037-3051. ISSN 1520-0493 doi: 10.1175/MWR-D-12-00303.1

Williams, P. D., Cullen, M. J.P., Davey, M. K. and Huthnance, J. M. (2013) Mathematics applied to the climate system: outstanding challenges and recent progress. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 371 (1991). 20120518. ISSN 1471-2962 doi: 10.1098/rsta.2012.0518


Williams, P. (2012) Comment on “A modified leapfrog scheme for shallow water equations” by Wen-Yih Sun and Oliver M.T. Sun. Computers & Fluids, 62. p. 91. ISSN 0045-7930 doi: 10.1016/j.compfluid.2012.02.023

Aplin, K. L. and Williams, P. D. (2012) Whether weather affects music. EOS Transactions, 93 (36). p. 347. ISSN 0096-3941 doi: 10.1029/2012EO360007


Aplin, K. L. and Williams, P. D. (2011) Meteorological phenomena in Western classical orchestral music. Weather, 66 (11). pp. 300-306. ISSN 1477-8696 doi: 10.1002/wea.765

Jacoby, T. N. L., Read, P. L., Williams, P. D. and Young, R. M. B. (2011) Generation of inertia-gravity waves in the rotating thermal annulus by a localised boundary layer instability. Geophysical & Astrophysical Fluid Dynamics, 105 (2-3). pp. 161-181. ISSN 0309-1929 doi: 10.1080/03091929.2011.560151

Amezcua, J., Kalnay, E. and Williams, P. D. (2011) The effects of the RAW filter on the climatology and forecast skill of the SPEEDY model. Monthly Weather Review, 139 (2). pp. 608-619. ISSN 0027-0644 doi: 10.1175/2010MWR3530.1


Palmer, T. and Williams, P. , eds. (2010) Stochastic physics and climate modelling. Cambridge University Press, Cambridge, UK, pp496. ISBN 9780521761055

Williams, P. D. (2010) Research resource review: Schultz DM 2009: Eloquent Science: A Practical Guide to Becoming a Better Writer, Speaker and Atmospheric Scientist. Boston, MA: American Meteorological Society. 440 pp. US$45 paper. ISBN: 978 1 878220 91 2. Progress in Physical Geography, 34 (5). pp. 729-731. ISSN 0309-1333 doi: 10.1177/03091333100340050102

Williams, P. D., Read, P. L. and Haine, T. W. N. (2010) Testing the limits of quasi-geostrophic theory: application to observed laboratory flows outside the quasi-geostrophic regime. Journal Of Fluid Mechanics , 649. pp. 187-203. ISSN 0022-1120 doi: DOI:10.1017/S0022112009993405

Williams, P. D., Guilyardi, E., Madec, G., Gualdi, S. and Scoccimarro, E. (2010) The role of mean ocean salinity in climate. Dynamics of Atmospheres and Oceans, 49 (2-3). pp. 108-123. ISSN 0377-0265 doi: 10.1016/j.dynatmoce.2009.02.001


Knox, J. A., McCann, D. W. and Williams, P. D. (2009) "Application of the Lighthill-Ford theory of spontaneous imbalance to clear-air turbulence forecasting" :Reply. Journal of the Atmospheric Sciences, 66 (8). pp. 2511-2516. ISSN 0022-4928 doi: 10.1175/2009JAS3084.1

Williams, P. D. (2009) A Proposed Modification to the Robert–Asselin Time Filter. Monthly Weather Review, 137 (8). pp. 2538-2546. ISSN 0027-0644 doi: 10.1175/2009MWR2724.1

Williams, P. D., Haine, T., Read, P., Lewis, S. and Yamazaki, Y. (2009) QUAGMIRE v1.3: a quasi-geostrophic model for investigating rotating fluids experiments. Geoscientific Model Development, 2 (1). pp. 13-32.

Williams, P. D. (2009) Rapid climate change: an overview for economists. International Journal of Green Economics, 3 (1). pp. 63-76. ISSN 1744-9928 doi: 10.1504/IJGE.2009.026492


Knox, J.A., McCann, D.W. and Williams, P. D. (2008) Application of the Lighthill-Ford theory of spontaneous imbalance to clear-air turbulence forecasting. Journal of the Atmospheric Sciences, 65 (10). pp. 3292-3304. ISSN 1520-0469 doi: 10.1175/2008JAS2477.1

Birner, T. and Williams, P. D. (2008) Sudden stratospheric warmings as noise-induced transitions. Journal of the Atmospheric Sciences, 65 (10). pp. 3337-3343. ISSN 1520-0469 doi: 10.1175/2008JAS2770.1

Palmer, T.N. and Williams, P. D. (2008) Introduction. Stochastic physics and climate modelling. Philosophical Transactions of the Royal Society. Part A, 366 (1875). pp. 2421-2427. ISSN 1364-503X doi: 10.1098/rsta.2008.0059

Williams, P. D., Haine, T.W.N. and Read, P.L. (2008) Inertia-Gravity Waves Emitted from Balanced Flow: Observations, Properties, and Consequences. Journal of the Atmospheric Sciences, 65 (11). pp. 3543-3556. ISSN 1520-0469 doi: DOI:10.1175/2008JAS2480.1


Read, P., Yamazaki, H., Lewis, S., Williams, P. D., Wordsworth, R. and Miki-Yamazaki, K. (2007) Dynamics of convectively driven banded jets in the laboratory. Journal of the Atmospheric Sciences, 64 (11). pp. 4031-4052. ISSN 1520-0469 doi: 10.1175/2007JAS2219.1

Williams, P. D., Guilyardi, E., Sutton, R. T., Gregory, J. M. and Madec, G. (2007) A new feedback on climate change from the hydrological cycle. Geophysical Research Letters, 34 (8). L08706. ISSN 0094-8276 doi: 10.1029/2007GL029275

Lewis, A. C., Evans, M. J., Methven, J., Watson, N. M., Lee, J. D., Hopkins, J. R., Purvis, R., Arnold, S. R., McQuaid, J., Whalley, L. K., Pilling, M. J., Heard, D. E., Monks, P. S., Parker, A. E., Reeves, C. E., Oram, D. E., Mills, G., Bandy, B. J., Stewart, D., Coe, H., Williams, P. I. and Crosier, J. (2007) Chemical composition observed over the mid-Atlantic and the detection of pollution signatures far from source regions. Journal of Geophysical Research, 112. D10S39. ISSN 0148-0227 doi: 10.1029/2006JD007584


Methven, J., Arnold, S. R., Stohl, A., Evans, M. J., Avery, M., Law, K., Lewis, A. C., Monks, P. S., Parrish, D. D., Reeves, C. E., Schlager, H., Atlas, E., Blake, D. R., Coe, H., Crosier, J., Flocke, F. M., Holloway, J. S., Hopkins, J. R., McQuaid, J., Purvis, R., Rappengluck, B., Singh, H. B., Watson, N. M., Whalley, L. K. and Williams, P. I. (2006) Establishing Lagrangian connections between observations within air masses crossing the Atlantic during the International Consortium for Atmospheric Research on Transport and Transformation experiment. Journal of Geophysical Research, 111. D23S62. ISSN 0148-0227 doi: 10.1029/2006JD007540

Williams, P. D., Guilyardi, E., Sutton, R. T., Gregory, J. M. and Madec, G. (2006) On the climate response of the low-latitude Pacific Ocean to changes in the global freshwater cycle. Climate Dynamics, 27 (6). pp. 593-611. ISSN 0930-7575 doi: 10.1007/s00382-006-0151-7

Williams, P. D. and Galvin, J. F. P. (2006) A multitude of gravity waves. Weather, 61 (6). p. 180. ISSN 0043-1656 doi: DOI:10.1256/wea.134.04

Williams, P. D. (2006) Storm in a teacup. Weather, 59 (4). pp. 96-98. ISSN 0043-1656 doi: 10.1256/wea.152.03


Williams, P. D., Haine, T. W. N. and Read, P. L. (2005) On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear. Journal Of Fluid Mechanics , 528. pp. 1-22. ISSN 0022-1120 doi: DOI:10.1017/S0022112004002873

Williams, P. D. (2005) Modelling climate change: the role of unresolved processes. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 363 (1837). pp. 2931-2946. ISSN 1364-503X doi: DOI:10.1098/rsta.2005.1676


Read, P. L., Yamazaki, Y. H., Lewis, S. R., Williams, P. D., Miki-Yamazaki, K., Sommeria, J., Didelle, H. and Fincham, A. (2004) Jupiter's and Saturn's convectively driven banded jets in the laboratory. Geophysical Research Letters, 31 (22). L22701. ISSN 0094-8276 doi: DOI:10.1029/2004GL020106

Williams, P. D., Haine, T. and Read, P. (2004) Stochastic resonance in a nonlinear model of a rotating, stratified shear flow, with a simple stochastic inertia-gravity wave parameterization. Nonlinear Processes in Geophysics, 11 (1). pp. 127-135. ISSN 1023-5809

Williams, P. D., Read, P.L. and Haine, T.W.N. (2004) A calibrated, non-invasive method for measuring the internal interface height field at high resolution in the rotating, two-layer annulus. Geophysical & Astrophysical Fluid Dynamics, 98 (6). pp. 453-471. ISSN 0309-1929 doi: DOI:10.1080/03091920412331296366


Williams, P. D. (2003) Spontaneous generation and impact of inertia-gravity waves in a stratified, two-layer shear flow. Geophysical Research Letters, 30 (24). 2255. ISSN 0094-8276 doi: DOI:10.1029/2003GL018498


Haine, T. and Williams, P. D. (2002) The role of nonhydrostatic dynamics in controlling development of a surface ocean front. Ocean modelling, 4 (2). pp. 121-135. ISSN 1463-5003 doi: DOI:10.1016/S1463-5003(01)00014-2

This list was generated on Sat Oct 21 11:05:09 2017 BST.

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