Bell, Z., Dance, S. ORCID: https://orcid.org/0000-0003-1690-3338 and Waller, J. (2025) The ensemble transform Schmidt-Kalman filter: a novel method to compensate for observation uncertainty due to unresolved scales. Atmospheric Science Letters. ISSN 1530-261X (In Press)

Bell, Z., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Waller, J. A. (2022) Exploring the characteristics of a vehicle-based temperature dataset for kilometre-scale data assimilation. Meteorological Applications, 29 (3). e2058. ISSN 1469-8080 doi: 10.1002/met.2058

Tabeart, J. M., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 and Waller, J. A. (2022) New bounds on the condition number of the Hessian of the preconditioned variational data assimilation problem. Numerical Linear Algebra with Applications, 29 (1). e2405. ISSN 1099-1506 doi: 10.1002/nla.2405

Waller, J. A. ORCID: https://orcid.org/0000-0002-7783-6434, Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Lean, H. W. ORCID: https://orcid.org/0000-0002-1274-4619 (2021) Evaluating errors due to unresolved scales in convection permitting numerical weather prediction. Quarterly Journal of the Royal Meteorological Society, 147 (738). pp. 2657-2669. ISSN 0035-9009 doi: 10.1002/qj.4043

Mirza, A. K. ORCID: https://orcid.org/0000-0001-6350-9080, Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Rooney, G. G., Simonin, D., Stone, E. K. and Waller, J. A. (2021) Comparing diagnosed observation uncertainties with independent estimates: a case study using aircraft‐based observations and a convection‐permitting data assimilation system. Atmospheric Science Letters, 22 (5). el01029. ISSN 1530-261X doi: 10.1002/asl.1029

Blair, G. S., Bassett, R., Bastin, L., Beevers, L., Borrajo, M. I., Brown, M., Dance, S. ORCID: https://orcid.org/0000-0003-1690-3338, Dionescu, A., Edwards, L., Ferrario, M. A., Fraser, R., Fraser, H., Gardner, S., Henrys, P., Hey, T., Homann, S., Huijbers, C., Hutchison, J., Jonathan, P., Lamb, R., Laurie, S., Leeson, A., Leslie, D., McMillan, M., Nundloll, V., Oyebamiji, O., Philipson, J., Pope, V., Prudden, R., Reis, S., Salama, M., Samreen, F., Sejdinovic, D., Simm, W., Street, R., Thornton, L., Towe, R., Vande Hey, J., Vieno, M., Waller, J. and Watkins, J. (2021) The role of digital technologies in responding to the grand challenges of the natural environment: the Windermere accord. Patterns, 2 (1). 100156. ISSN 2666-3899 doi: 10.1016/j.patter.2020.100156

Vetra-Carvalho, S., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Mason, D. C. ORCID: https://orcid.org/0000-0001-6092-6081, Waller, J. A., Cooper, E. S., Smith, P. J. ORCID: https://orcid.org/0000-0003-4570-4127 and Tabeart, J. M. (2020) Collection and extraction of water level information from a digital river camera image dataset. Data In Brief, 33. 106338. ISSN 2352-3409 doi: 10.1016/j.dib.2020.106338

Merchant, C. ORCID: https://orcid.org/0000-0003-4687-9850, Saux-Picart, S. and Waller, J. (2020) Bias correction and covariance parameters for optimal estimation by exploiting matched in-situ references. Remote Sensing of Environment, 237. 111590. ISSN 0034-4257 doi: 10.1016/j.rse.2019.111590

Bell, Z., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Waller, J. A. (2020) Accounting for observation uncertainty and bias due to unresolved scales with the Schmidt-Kalman filter. Tellus A: Dynamic Meteorology and Oceanography, 72 (1). pp. 1-21. ISSN 1600-0870 doi: 10.1080/16000870.2020.1831830

Tabeart, J. M., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 and Waller, J. A. (2020) Improving the condition number of estimated covariance matrices. Tellus A: Dynamic Meteorology & Oceanography, 72 (1). pp. 1-19. ISSN 1600-0870 doi: 10.1080/16000870.2019.1696646

Simonin, D., Waller, J. A., Ballard, S. P., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 (2019) A pragmatic strategy for implementing spatially correlated observation errors in an operational system: an application to Doppler radial winds. Quarterly Journal of the Royal Meteorological Society, 145 (723). pp. 2772-2790. ISSN 1477-870X doi: 10.1002/qj.3592

Hintz, K. S., O'Boyle, K., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Al-Ali, S., Ansper, I., Blaauboer, D., Clark, M., Cress, A., Dahoui, M., Darcy, R., Hyrkkanen, J., Isaksen, L., Kaas, E., Korsholm, U. S., Lavanant, M., Le Bloa, G., Mallet, E., McNicholas, C., Onvlee-Hooimeijer, J., Sass, B., Siirand, V., Vedel, H., Waller, J. A. and Yang, X. (2019) Collecting and utilising crowdsourced data for numerical weather prediction: propositions from the meeting held in Copenhagen, 4–December 5, 2018. Atmospheric Science Letters, 20 (7). e921. ISSN 1530-261X doi: 10.1002/asl.921

Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Ballard, S. P., Bannister, R. N. ORCID: https://orcid.org/0000-0002-6846-8297, Clark, P. ORCID: https://orcid.org/0000-0003-1001-9226, Cloke, H. L. ORCID: https://orcid.org/0000-0002-1472-868X, Darlington, T., Flack, D. L. A., Gray, S. L. ORCID: https://orcid.org/0000-0001-8658-362X, Hawkness-Smith, L., Husnoo, N., Illingworth, A. J. ORCID: https://orcid.org/0000-0002-5774-8410, Kelly, G. A., Lean, H. W., Li, D., Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Nicol, J. C., Oxley, A., Plant, R. S. ORCID: https://orcid.org/0000-0001-8808-0022, Roberts, N. M., Roulstone, I., Simonin, D., Thompson, R. J. and Waller, J. A. (2019) Improvements in forecasting intense rainfall: results from the FRANC (forecasting rainfall exploiting new data assimilation techniques and novel observations of convection) project. Atmosphere, 10 (3). 125. ISSN 2073-4433 doi: 10.3390/atmos10030125

Waller, J. A., Bauernschubert, E., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Simonin, D. (2019) Observation error statistics for Doppler radar radial wind superobservations assimilated into the DWD COSMO-KENDA system. Monthly Weather Review, 147. pp. 3351-3364. ISSN 0027-0644 doi: 10.1175/MWR-D-19-0104.1

Flack, D. L. A., Skinner, C. J., Hawkness-Smith, L., O’Donnell, G., Thompson, R. J., Waller, J. A., Chen, A. S., Moloney, J., Largeron, C., Xia, X., Blenkinsop, S., Champion, A. J., Perks, M. T., Quinn, N. and Speight, L. J. ORCID: https://orcid.org/0000-0002-8700-157X (2019) Recommendations for improving integration in national end-to-end flood forecasting systems: an overview of the FFIR (flooding from intense rainfall) programme. Water, 11 (4). 725. ISSN 2073-4441 doi: 10.3390/w11040725

Holzke, J. and Waller, J. (2018) Improving aircraft-derived temperature observations using data assimilation. Reinvention: an International Journal of Undergraduate Research, 11 (2). ISSN 1755-7429

Tabeart, J. M., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Haben, S. A., Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 and Waller, J. A. (2018) The conditioning of least squares problems in variational data assimilation. Numerical Linear Algebra with Applications, 25 (5). e2165. ISSN 1099-1506 doi: 10.1002/nla.2165

Waller, J. A., Garcia-Pintado, J., Mason, D. C. ORCID: https://orcid.org/0000-0001-6092-6081, Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 (2018) Technical note: assessment of observation quality for data assimilation in flood models. Hydrology and Earth System Sciences, 22. pp. 3983-3992. ISSN 1027-5606 doi: 10.5194/hess-22-3983-2018

Janjic, T., Bormann, N., Bocquet, M., Carton, J. A., Cohn, S. E., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Losa, S. N., Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Waller, J. A. and Weston, P. (2018) On the representation error in data assimilation. Quarterly Journal of the Royal Meteorological Society, 144 (713). pp. 1257-1278. ISSN 0035-9009 doi: 10.1002/qj.3130

Fowler, A. ORCID: https://orcid.org/0000-0003-3650-3948, Dance, S. ORCID: https://orcid.org/0000-0003-1690-3338 and Waller, J. (2018) On the interaction of observation and prior error correlations in data assimilation. Quarterly Journal of the Royal Meteorological Society, 144 (710). pp. 48-62. ISSN 1477-870X doi: 10.1002/qj.3183

Waller, J. A., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 (2017) On diagnosing observation error statistics with local ensemble data assimilation. Quarterly Journal of the Royal Meteorological Society, 143 (708). pp. 2677-2686. ISSN 1477-870X doi: 10.1002/qj.3117

Cordoba, M., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Kelly, G. A., Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 and Waller, J. A. (2017) Diagnosing atmospheric motion vector observation errors for an operational high resolution data assimilation system. Quarterly Journal of the Royal Meteorological Society, 143 (702). pp. 333-341. ISSN 1477-870X doi: 10.1002/qj.2925

Waller, J. A., Simonin, D., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 and Ballard, S. P. (2016) Diagnosing observation error correlations for Doppler radar radial winds in the Met Office UKV model using observation-minus-background and observation-minus-analysis statistics. Monthly Weather Review, 144 (10). pp. 3533-3551. ISSN 0027-0644 doi: 10.1175/MWR-D-15-0340.1

Waller, J. A., Ballard, S. P., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Kelly, G., Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 and Simonin, D. (2016) Diagnosing horizontal and inter-channel observation error correlations for SEVIRI observations using observation-minus-background and observation-minus-analysis statistics. Remote Sensing, 8 (7). 851. ISSN 2072-4292 doi: 10.3390/rs8070581

Waller, J. A., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 (2016) Theoretical insight into diagnosing observation error correlations using observation-minus-background and observation-minus-analysis statistics. Quarterly Journal of the Royal Meteorological Society, 142 (694). pp. 418-431. ISSN 1477-870X doi: 10.1002/qj.2661

Waller, J. A., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568 and Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 (2014) Estimating correlated observation error statistics using an ensemble transform Kalman filter. Tellus A, 66. 23294. ISSN 1600-0870 doi: 10.3402/tellusa.v66.23294

Waller, J. A., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 and Eyre, J. R. (2014) Representativity error for temperature and humidity using the Met Office high-resolution model. Quarterly Journal of the Royal Meteorological Society, 140 (681). pp. 1189-1197. ISSN 1477-870X doi: 10.1002/qj.2207

Pocock, J. A., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338 and Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568 (2011) State estimation using the particle filter with mode tracking. Computers & Fluids, 46 (1). pp. 392-397. ISSN 0045-7930 doi: 10.1016/j.compfluid.2011.02.009