Mann & Lees Multi-Taper Method (MTM)
- Multitaper spectral analysis which
provides an optimally low-variance, high-resolution spectral estimate.
- Assumptions regarding signal (narrowband, but not strictly periodic) and noise ("red") that are most appropriate in the context of climate studies.
- A "robust" method for accurate
determination of the noise component of the spectrum.
The MTM Method is Described in:
Mann, M.E., Lees. J., Robust
Estimation of Background Noise and Signal Detection in Climatic Time Series,
Climatic Change, 33, 409-445, 1996.
The MTM Method is Used in the SSA-MTM Toolkit
MTM Fortran code
Mann & Park MTM-SVD Multivariate Signal Analysis
- Detection of irregular spatiotemporal oscillatory signals immersed in spatially-correlated coloured noise with optimal signal detection properties
- "Evolutive'' approach to detecting intermittent and/or frequency-modulated spatiotemporal oscillations.
- Reconstruction of spatial and temporal patterns of oscillatory climate signals
MTM-SVD Fortran codes, synthetic test dataset, and analysis results
NOTE: an issue was brought to our attention about averaging angles in the code: mtm-svd-recon.f. More details and
a potential fix can be found here.
- "LFV" multivariate spectrum estimation
- Spatiotemporal signal reconstruction
- Bootstrap confidence level estimation procedure, along with
required subroutines, makefiles, and the synthetic test input and output.
- Mann, M.E., Park, J., Spatial
Correlations of Interdecadal Variation in Global Surface Temperatures,Geophysical Research Letters, 20, 1055-1058, 1993.
- Mann, M.E., Lall, U., Saltzman, B., Decadal-to-century scale climate variability: Insights into the Rise and Fall of the Great Salt Lake, Geophysical Research Letters, 22, 937-940, 1995.
- Mann, M.E., Park, J., Bradley, R.S., Global Interdecadal and Century-Scale Climate Oscillations During the Past Five Centuries, Nature, 378, 266-270, 1995.
- Mann, M.E., Park, J., Greenhouse Warming and Changes in the Seasonal Cycle of Temperature: Model Versus Observations, Geophysical Research Letters, 23, 1111-1114, 1996.
- Koch, D., Mann, M.E., Spatial and Temporal Variability of 7Be Surface Concentrations, Tellus, 48B, 387-396, 1996.
- Mann, M.E., Park, J., Joint Spatio-Temporal Modes of Surface Temperature and Sea Level Pressure Variability in the Northern Hemisphere During the Last Century, Journal of Climate, 9, 2137-2162, 1996.
- Rajagopalan, B., Mann, M.E., and Lall, U., A Multivariate Frequency-Domain Approach to Long-Lead Climatic Forecasting, Weather and Forecasting,, 13, 58-74, 1998.
- Tourre, Y., Rajagopalan, B., and Kushnir, Y., Dominant patterns of climate variability in the Atlantic over the last 136 years, Journal of Climate, 12, 2285-2299, 1998.
- Mann, M.E., Park, J, Oscillatory Spatiotemporal Signal Detection in Climate Studies: A Multiple-Taper Spectral Domain Approach , Advances in Geophysics, 41, 1-131, 1999. (click here for version w/ color figures)
- Delworth, T.L., and Mann, M.E., Observed and Simulated Multidecadal Variability in the Northern Hemisphere, Climate Dynamics, 16, 661-676, 2000.
- Mann, M.E., Bradley, R.S., Hughes, M.K., Long-term variability in the El Nino Southern Oscillation and associated teleconnections, , Diaz, H.F. and Markgraf, V. (eds) El Nino and the Southern Oscillation: Multiscale Variability and its Impacts on Natural Ecosystems and Society, Cambridge University Press, Cambridge, UK, 357-412, 2000.