Rodrigo Abarca del Rio
Universidad de Concepción, Departamento de Geofisica, Faculty Member
- Satellite Geodesy, Earth Rotation, Atmospheric Angular Momentum, Hydrology (Lakes, Snow and glacial modeling), Satellite remote sensing, Sea Level, and 104 moreSpatial Data Analysis, Climate Dynamics, Ocean Heat Budget, Interdecadal Climate Variability, Interdecadal, Interdecadal Variability, 20th century France, Global Warming, Climate Change, Land Surface Temperature, Great Lakes, Shallow Lakes, Lakes, Mountain Lakes, Hydrodynamics of lakes, Land Surface Temperature Modeling, Atmospheric Physics, Atmospheric Dynamics, Regional and Global Sea Level Change, Impact of climate change on sea level rise, Sea-Level Rise, Sea level rise, Air Temperature, Climate variability, Southern Titicaca Basin, Geodesy & Geodynamics, Earth Sciences, Environmental Science, Remote Sensing, Geophysics, Meteorology, Lightning, Flood Mitigation, Flood Forecasting, Hydrology, Saline Lake, Climate, Computing, Non-Linear Dynamics, Complexity, Altiplano, Lake, Bolivia, Paleolakes, Geodesy, Climatology, Atmospheric Science, Time series analysis, Climate modeling, Principal Component Analysis, Time-Series Analysis, Atmosphere, Meteorology & Climatology, El Niño, Sea Level Changes, Climate Reconstruction, El Niño variability, WAVELETS AND ITS APPLICATIONS, Physics, Geography, Oceanography, Physical Geography, Physics Education, Water Wars, Water Scarcity and Conflict, History of Arabic Science. Islamic Instruments. Astronomy under the Mamluks, History of Arabic Science, History of Science In the Middle Ages. Translations From Arabic Into Latin., History of Arabic Sciences, Virtual Water and Water Footprint, Food Security and Insecurity, Water, Water resources, Water Conflicts, Climate Change Adaptation, Food Safety, Geopolitics, Adaptation to Climate Change, Food Security, 21th-Century Studies, Water Geopolicy, Transboundary Water Issues, Food security and access to safe water, Water Security, Access To Water, Nonlinear dynamics, Prediction, Forecasting and Prediction Tools, Time Series Prediction, Time Series Data, ENSO, El Nino-Southern Oscillation, Time Series Analysis and Forecasting, El Nino Phenomenon, Weather and Climate Prediction, Intraseasonal to Interannual Climate Variability, Non linear time series, Time Series, Weather Risks, Forecasting, Nonlinear Time Series, Fractals, Weather Forecasting, and Time Series Forecastingedit
ABSTRACT El presente trabajo estudia eventos de inundaciones en el pasado, asociándolos a indicadores climáticos y precipitaciones durante la fecha de los eventos adversos. Se estudiaron lo hechos ocurridos durante la segunda mitad del... more
ABSTRACT El presente trabajo estudia eventos de inundaciones en el pasado, asociándolos a indicadores climáticos y precipitaciones durante la fecha de los eventos adversos. Se estudiaron lo hechos ocurridos durante la segunda mitad del siglo XX en la zona Central de Chile (32ª a 37º S). Se usaron registros de inundaciones recopiladas por Aldunce en el año 2009 y dos indicadores climáticos: Se usó la variabilidad del El Niño-Oscilación del Sur (ENOS) reflejada en la anomalía nino3.4 y como segundo indicador la anomalía de la oscilación antartica (AAO), adicionalmente se usó las anomalías de los datos globales de precipitación de Willmott. Para el estudio se usó como herramienta dos tipos de distribuciones, en este caso distribuciones logit y probit. Los modelos Logit y Probit tienen la ventaja de ser lineales por lo cual su estimación es simple. Se logró establecer que para anomalías positivas de AAO y nino3.4 existe una mayor probabilidad de inundación, según la fdp establecida mediante ambas regresiones lineales. Conocer la función de distribución de probabilidad asociada a los eventos adversos de inundaciones bajo distintas condiciones, permitiendo manejar de mejor manera los recursos durante las distintas subetapas de preparación.
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Research Interests: Oceanography, Physics, Climatology, Nonlinear dynamics, Prediction, and 15 moreTime series analysis, Forecasting and Prediction Tools, El Niño, Predictability, Climate Dynamics, Atmospheric sciences, Time Series Prediction, Time Series Data, ENSO, Intraseasonal to Interannual Climate Variability, Time Series Analysis and Forecasting, Weather and Climate Prediction, Non linear time series, El Nino Phenomenon, and La niña
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Interdecadal oscillations in Atmospheric Angular Momentum variationsGlobal Atmospheric Angular Momentum (AAM) is an intrinsic index for describing processes that affect the atmospheric circulation on time scales ranging from intraseasonal... more
Interdecadal oscillations in Atmospheric Angular Momentum variationsGlobal Atmospheric Angular Momentum (AAM) is an intrinsic index for describing processes that affect the atmospheric circulation on time scales ranging from intraseasonal to secular. It is associated with length-of-day (LOD) variability through conservation of global angular momentum in planet Earth and thus is of considerable importance for quantifying how the Earth acts as a system. The availability of lengthy AAM time series computed from the recent 20th Century atmospheric reanalyses (1870-2008), complemented by the NCAR-NCEP reanalysis in the overlapping period of 1948-2008 allows the investigation of the role of decadal and interdecadal cycles as well as the recent overall trend in AAM. Thus, we extend to the entire 20th century (and prior, back to 1870) results concerning decadal time scales and a secular positive trend detected over recent decades by different authors. In addition, we also note that AAM has ...
Research Interests: Environmental Science, Geodesy, Climate Change, Atmospheric Science, Climatology, and 15 moreClimate variability, Atmospheric Physics, Atmospheric Dynamics, Climate modeling, El Niño, Global Warming, Atmosphere, Earth Rotation, El Niño variability, Climate decadal predictability, Atmospheric Angular Momentum, Atmosphereic Sciences, Interdecadal, Geodetic Science, and De Gruyter
Research Interests: Geology, Computer Science, Remote Sensing, Saline Lake, Bolivia, and 15 moreSatellite remote sensing, Lakes, Shallow Lakes, Teledetección, Hypsometry, Landsat TM, Landsat, Titicaca Basin, Southern Titicaca Basin, Teledeteccion y SIG, Bathymetry, Landsat-7 ETM +, BOLIVIAN ALTIPLANO, Bathimetry, and Saline Lakes
We analyse phase lags between the 11-year variations of three records: the semi-annual oscillation of the length of day (LOD), the solar activity (SA) and the cosmic ray intensity (CRI). The analysis was done for solar cycles 20–23.... more
We analyse phase lags between the 11-year variations of three records: the semi-annual oscillation of the length of day (LOD), the solar activity (SA) and the cosmic ray intensity (CRI). The analysis was done for solar cycles 20–23. Observed relationships between LOD, CRI and SA are discussed separately for even and odd solar cycles. Phase lags were calculated using different methods (comparison of maximal points of cycles, maximal correlation coefficient, line of synchronization of cross-recurrence plots). We have found different phase lags between SA and CRI for even and odd solar cycles, confirming previous studies. The evolution of phase lags between SA and LOD as well as between CRI and LOD shows a positive trend with additional variations of phase lag values. For solar cycle 20, phase lags between SA and CRI, between SA and LOD, and between CRI and LOD were found to be negative. Overall, our study suggests that, if anything, the length of day could be influenced by solar irrad...
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Research Interests: Geology, Geophysics, Climate Change, Climatology, Geodynamics, and 15 moreSea surface temperature, El Niño, Global Warming, Solar Activity, Earth Rotation, Geomatic Engineering, Solar Climate Cycles, El Nino-Southern Oscillation, Atmospheric Angular Momentum, Interdecadal Variability, Interdecadal Climate Variability, Effects of Solar Activities and Cosmic Radiations on the Earth, Length of day, Indexation, and Interdecadal
... Past sea-level reconstruction and variability of sea-level trend patterns. W. Llovel, A. Lombard, A. Cazenave, P. Rogel, Th. Penduff 1 , Rodrigo Abarca Del Rio 2. (2008). 1 : Laboratoire des écoulements géophysiques et industriels... more
... Past sea-level reconstruction and variability of sea-level trend patterns. W. Llovel, A. Lombard, A. Cazenave, P. Rogel, Th. Penduff 1 , Rodrigo Abarca Del Rio 2. (2008). 1 : Laboratoire des écoulements géophysiques et industriels (LEGI). ...
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... Analysis of images from 2000 to 2010 has also showed high inter-annual amplitudes of ... 4] Töyrä, J., Pietroniro, A. and Martz, LW Multisensor Hydrologic Assessment of a ... IEEE JSTARS, Special Issue on Microwave Remote Sensing for... more
... Analysis of images from 2000 to 2010 has also showed high inter-annual amplitudes of ... 4] Töyrä, J., Pietroniro, A. and Martz, LW Multisensor Hydrologic Assessment of a ... IEEE JSTARS, Special Issue on Microwave Remote Sensing for Land Hydrology Research and Applications ...
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ABSTRACT Complementary analysis of satellite mission data (altimetry, Moderate Resolution Imaging Spectroradiometers (MODIS)) and climate fields over 2000–2009 was conducted to investigate the variability of the water cover surfaces and... more
ABSTRACT Complementary analysis of satellite mission data (altimetry, Moderate Resolution Imaging Spectroradiometers (MODIS)) and climate fields over 2000–2009 was conducted to investigate the variability of the water cover surfaces and the geographical source of water inflowing into the Lake Poopó system. The results suggest that over the time span of 2000–2009 a great part of the variability of the Poopó system originates from geographic sources other than Lake Titicaca. Possible alternative causes include climate change inducing increased temperatures and greater evaporation rates along the Altiplano; increased glacier and snow melting over the Andes Cordillera; and a potential increased anthropogenic water use (such as irrigation, minery, etc.) throughout the path of the Desaguadero River (which connects lakes Titicaca and Poopó). This change in the hydrology of this region could lead to a collapse of water supplies and endanger the already fragile Poopó system as well as the regional socioeconomic system, which closely depends upon it.
Research Interests: Earth Sciences, Environmental Science, Geophysics, Climate Change, Hydrology, and 15 moreMeteorology, Arid environments, Bolivia, Satellite remote sensing, Great Lakes, Global Warming, Lakes, Shallow Lakes, Hydrological modelling, Satellite Altimetry, Hydrology and water resources, Lake, Altiplano, Application of Staellite Altimetry in Geodesy, and Saline Lakes
Research Interests: Environmental Science, Estimation and Filtering Theory, Hydrology, Flood Risk Management, Hydrologic Modeling, and 13 moreChile, Flood Mitigation, Watershed Hydrology, Logit & Probit models, Flood Forecasting, Forecasting and Prediction Tools, Flood modelling, River Basin Management, Flood Risk, Floods, Flood Mangement, Logit, and Flood Myth
... CK Shum g , F. Nino b , M. Bergé-Nguyen a , S. Fleury h , P. Gegout i , R. Abarca Del Rio j & P. Maisongrande a pages 291-318. ... 200910. Crétaux, JF, Calmant, S., Romanovski, VV, Shabunin, A., Lyard, F.,... more
... CK Shum g , F. Nino b , M. Bergé-Nguyen a , S. Fleury h , P. Gegout i , R. Abarca Del Rio j & P. Maisongrande a pages 291-318. ... 200910. Crétaux, JF, Calmant, S., Romanovski, VV, Shabunin, A., Lyard, F., Berge-Nguyen, M., Cazenave, A., Hernandez, F. and Perosanz, F. 2009. ...
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Climate change scenarios are computed on a large scale, not accounting for local variations presented in historical data and related to human scale. Based on historical records, we validate a baseline (1962–1990) and correct the bias of... more
Climate change scenarios are computed on a large scale, not accounting for local variations presented in historical data and related to human scale. Based on historical records, we validate a baseline (1962–1990) and correct the bias of A2 and B2 regional projections for the end of twenty‑first century (2070–2100) issued from a high resolu‑ tion dynamical downscaled (using PRECIS mesoscale model, hereinafter DGF‑PRECIS) of Hadley GCM from the IPCC 3rd Assessment Report (TAR). This is performed for the Araucanía Region (Chile; 37°–40°S and 71°–74°W) using two different bias correction methodologies. Next, we study high‑resolution precipitations to find monthly patterns such as seasonal variations, rainfall months, and the geographical effect on these two scenarios. Finally, we compare the TAR projections with those from the recent Assess‑ ment Report 5 (AR5) to find regional precipitation patterns and update the Chilean `projection. To show the effects of climate change projections, we compute the rainfall climatology for the Araucanía Region, including the impact of ENSO cycles (El Niño and La Niña events). The corrected climate projection from the high‑resolution dynami‑ cal downscaled model of the TAR database (DGF‑PRECIS) show annual precipitation decreases: B2 (−19.19 %, −287 ± 42 mm) and A2 (−43.38 %, −655 ± 27.4 mm per year. Furthermore, both projections increase the probability of lower rainfall months (lower than 100 mm per month) to 64.2 and 72.5 % for B2 and A2, respectively.
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We show that the monthly recorded history (1866–2014) of the Southern Oscillation Index (SOI), a descriptor of the El Niño Southern Oscillation (ENSO) phenomenon, can be correctly described as a dynamic system supporting a potential... more
We show that the monthly recorded history (1866–2014) of the Southern Oscillation Index (SOI), a descriptor of the El Niño Southern Oscillation (ENSO) phenomenon, can be correctly described as a dynamic system supporting a potential nonlinear predictability well beyond the spring barrier. Long-term predictability is strongly connected to a detailed knowledge about the topology of the attractor obtained by embedding the SOI index in a wavelet base state space. By utilizing the state orbits on the attractor, we show that the information contained in the SOI is sufficient to provide nonlinear attractor information, allowing the detection of predictability for longer than a year: 2, 3, and 4 years in advance throughout the record with an acceptable error. This is possible due to the fact that the lower-frequency variability of the SOI presents long-term positive autocorrelation. Thus, by using complementary methods, we confirm that the reconstructed attractor of the low-frequency part (lower than 1/year) of SOI time series cannot be attributed to stochastic influences. Furthermore, we establish its multifractality. As an example of the capabilities of the methodology, we investigate a few specific El Niño (1972–1973, 1982–1983, 1997–1998) and La Niña (1973–1974, 1988–1989 and 2010–2011) events. Our results indicate that each of these present several equivalent temporal structures over other eras of these 149 years (1866–2014). Accordingly, none of these cases, including extreme events, presents temporal singularity. We conclude that the methodology’s simplicity of implementation and ease of use makes it suitable for studying nonlinear predictability in any area where observations are similar to those describing the ENSO phenomenon.
Research Interests: Climatology, Time Series, Weather Risks, Prediction, Forecasting, and 25 moreNonlinear Time Series, Climate, Atmospheric Dynamics, Time-Series Analysis, Fractals, Time series analysis, Forecasting and Prediction Tools, El Niño, Time Series Prediction, Multifractal Analysis, Time-Series, Fractals and multifractals, Fractal Analysis, Fractal, Time Series Data, Weather Forecasting, ENSO, Seasonal forecasting, Time Series Forecasting, El Nino-Southern Oscillation, Fractal Dimension, Fractal Organization of Nature, Time Series Analysis and Forecasting, Weather and Climate Prediction, and El Nino Phenomenon
Global Atmospheric Angular Momentum (AAM) is an intrinsic index for describing processes that affect the atmospheric circulation on time scales ranging from intraseasonal to secular. It is associated with length-of-day (LOD) variability... more
Global Atmospheric Angular Momentum (AAM) is an intrinsic index for describing processes that affect the atmospheric circulation on time scales ranging from intraseasonal to secular. It is associated with length-of-day (LOD) variability through conservation of global angular momentum in planet Earth and thus is of considerable importance for quantifying how the Earth acts as a system. The availability of lengthy AAM time series computed from the recent 20th Century atmospheric reanalyses (1870-2008), complemented by the NCAR-NCEP reanalysis in the overlapping period of 1948-2008 allows the investigation of the role of decadal and interdecadal cycles as well as the recent overall trend in AAM. Thus, we extend to the entire 20th century (and prior, back to 1870) results concerning decadal time scales and a secular positive trend detected over recent decades by different authors. In addition, we also note that AAM has features of interdecadal time scales that modulate the lower frequency variability. These interdecadal time signals oscillate with periods of about 30-50 years, and we found an indication of an 80-90 year period. Short term signals interact with the long-term (secular) trend. Particularly over the years 1950-1985 the global positive trend in AAM appears to result from a conjunction of constructive positive slopes from all lower frequency signals (interdecadal short-term trends and the long-term positive secular trend). Since the mid 1980s, however, the interdecadal oscillation short-term trend contribution decreases, as does the total signal in global AAM. These oscillations appear as two interdecadal modes originating within the Pacific (associated principally with the Pacific Decadal Oscillation and also ENSO) from which they propagate poleward, with differing characteristics in each hemisphere.
Research Interests: Climate Change, Atmospheric Science, Climatology, Meteorology, El Niño, and 8 moreAtmospheric circulation, teleconnection patterns, Earth Rotation, Climate decadal predictability, El Nino-Southern Oscillation, Interdecadal Climate Variability, Interdecadal, Reanalysis, and Pacific Decadal Oscilation
The influence of inter-decadal and secular variability on the annual mean air surface temperature variability over France is characterized for the period 1880–2005, together with a description of their regional distribution. After a... more
The influence of inter-decadal and secular variability
on the annual mean air surface temperature variability over
France is characterized for the period 1880–2005, together
with a description of their regional distribution. After a
descriptive study of temperature linear trends over the
century, the oscillatory components of the series are
investigated through continuous and discrete wavelet
transform. This study reveals the importance of inter-
decadal time scales (40–60 and 60–80 years) and
particularly the evolution of their phase shift in the latest
epoch of the high temperatures rise over France (since
1980).
on the annual mean air surface temperature variability over
France is characterized for the period 1880–2005, together
with a description of their regional distribution. After a
descriptive study of temperature linear trends over the
century, the oscillatory components of the series are
investigated through continuous and discrete wavelet
transform. This study reveals the importance of inter-
decadal time scales (40–60 and 60–80 years) and
particularly the evolution of their phase shift in the latest
epoch of the high temperatures rise over France (since
1980).
Research Interests: Earth Sciences, Environmental Science, Geophysics, Remote Sensing, Climate Change, and 16 moreHydrology, Climatology, Meteorology, Climate variability, 20th century France, Flood Mitigation, Flood Forecasting, Global Warming, Lightning, Land Surface Temperature, Land Surface Temperature Modeling, Climate decadal predictability, Interdecadal Variability, Interdecadal Climate Variability, Temperatures, and Interdecadal
Complementary analysis of satellite mission data (altimetry, Moderate Resolution Imaging Spectroradiometers (MODIS)) and climate fields over 2000–2009 was conducted to investigate the variability of the water cover surfaces and the... more
Complementary analysis of satellite mission data (altimetry, Moderate Resolution Imaging Spectroradiometers (MODIS)) and climate fields over 2000–2009 was conducted to investigate the variability of the water cover surfaces and the geographical source of water inflowing into the Lake Poopó system. The results suggest that over the time span of 2000–2009 a great part of the variability of the Poopó system originates from geographic sources other than Lake Titicaca. Possible alternative causes include climate change inducing increased temperatures and greater evaporation rates along the Altiplano; increased glacier and snow melting over the Andes Cordillera; and a potential increased anthropogenic water use (such as irrigation, minery, etc.) throughout the path of the Desaguadero River (which connects lakes Titicaca and Poopó). This change in the hydrology of this region could lead to a collapse of water supplies and endanger the already fragile Poopó system as well as the regional socioeconomic system, which closely depends upon it.
Research Interests: Hydrology/Hydrography, Earth Sciences, Environmental Science, Geophysics, Climate Change, and 21 moreHydrology, Meteorology, Arid environments, Bolivia, Satellite remote sensing, Great Lakes, Remote Sensing (Earth Sciences), Global Warming, Lakes, Shallow Lakes, Teledetección, Hydrological modelling, Satellite Altimetry, Satellite Remote Sensing & Image Processing, Hydrology and water resources, Lake, Titicaca Basin, Altiplano, Southern Titicaca Basin, Application of Staellite Altimetry in Geodesy, and Saline Lakes
" We analyse phase lags between the 11-year variations of three records: the semi-annual oscillation of the length of day (LOD), the solar activity (SA) and the cosmic ray intensity (CRI). The analysis was done for solar cycles 20–23.... more
" We analyse phase lags between the 11-year variations of three records: the semi-annual oscillation of the length of day (LOD), the solar activity (SA) and the cosmic ray intensity (CRI). The analysis was done for solar cycles 20–23. Observed relationships between LOD, CRI and SA are discussed separately for even and odd solar cycles. Phase lags were calculated using different methods (comparison of maximal points of cycles, maximal correlation coefficient, line of synchronization of cross-recurrence plots). We have found different phase lags between SA and CRI for even and odd solar cycles, confirming previous studies. The evolution of phase lags between SA and LOD as well as between CRI and LOD shows a positive trend with additional variations of phase lag values. For solar cycle 20, phase lags between SA and CRI, between SA and LOD, and between CRI and LOD were found to be negative. Overall, our study suggests that, if anything, the length of day could be influenced by solar irradiance rather than by cosmic rays."
Research Interests: Geodesy, Cosmic Rays, Ionosphere, Solar Activity, Solar Climate Cycles, and 3 moreLong-term changes in the middle atmosphere, thermosphere and ionosphere in the light of climate change and solar cycle variability, Effects of Solar Activities and Cosmic Radiations on the Earth, and Ionosphere: Ionospheric Irregularities
The tendency of the atmospheric angular momentum (AAM) is investigated using a 49-year set of monthly AAM data for the period January 1949-December 1997. This data set is constructed with zonal wind values from the reanalyses of... more
The tendency of the atmospheric angular momentum (AAM) is investigated using a 49-year set of monthly AAM data for the period January 1949-December 1997. This data set is constructed with zonal wind values from the reanalyses of NCEP/NCAR, used in conjunction with a variety of operationally produced AAM time series with different independent sources and lengths over 1976-1997. In all the analyzed AAM series the linear trend is found to be positive. Since the angular momentum of the atmosphere-earth system is conserved this corresponds to a net loss of angular momentum by the solid earth, therefore decreasing the Earth rotation speed and increasing the length of day (LOD). The AAM rise is significant to the budget of angular momentum of the global atmosphere-earth system; its value in milliseconds/century (ms/cy) is +0.56 ms/cy, corresponding to one-third of the estimated increase in LOD (+1.7 ms/cy). The major contribution to this secular trend in AAM comes from the equatorial Tropopause. This is consistent with results from a previous study using a simplified aqua-planet model to investigate the AAM variations due to near equatorial warming conditions. During the same time interval, 1949-1997, the global marine + land-surface temperature increases by about 0.79 °C/cy, showing a linear correspondence between surface temperature increase and global AAM of about 0.07 ms per 0.1 °C. These results imply that atmospheric angular momentum may be used as an independent index of the global atmosphere's dynamical response to the greenhouse forcing, and as such, the length of day may be used as an indirect indicator of global warming.
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Understanding present-day global sea level rise requires a correct evaluation of past sea level field variability. We use sea level height fields obtained by satellite altimeters between 1992 and 2006, sea level height fields from recent... more
Understanding present-day global sea level rise requires a correct evaluation of
past sea level field variability. We use sea level height fields obtained by satellite
altimeters between 1992 and 2006, sea level height fields from recent reanalyses
of oceanic circulation (SODA) and worldwide tide gauges series for the time
interval 1958–2006, to investigate the limitations inherent in reconstructing the
past ~50 years of sea level variation using empirical orthogonal function (EOF)
decomposition. To understand some of the weaknesses we found, we tested the
influence of the spatial distribution of tide gauges as well as the ability to properly
reconstruct sea level in certain frequencies bands. The presence of the particularly
strong 1997–1998 El Nin˜o event, and the short time span of the base period
(1992–2006), limits the determination of other spatial teleconnections and then
the reconstruction over preceding epochs. More particularly, during the pre-
satellite era and outside the tropics, the non-stationary characteristics of heat
transport at interannual time scales and other low frequencies oscillations
associated with sea level height fields undermine the methodology.
past sea level field variability. We use sea level height fields obtained by satellite
altimeters between 1992 and 2006, sea level height fields from recent reanalyses
of oceanic circulation (SODA) and worldwide tide gauges series for the time
interval 1958–2006, to investigate the limitations inherent in reconstructing the
past ~50 years of sea level variation using empirical orthogonal function (EOF)
decomposition. To understand some of the weaknesses we found, we tested the
influence of the spatial distribution of tide gauges as well as the ability to properly
reconstruct sea level in certain frequencies bands. The presence of the particularly
strong 1997–1998 El Nin˜o event, and the short time span of the base period
(1992–2006), limits the determination of other spatial teleconnections and then
the reconstruction over preceding epochs. More particularly, during the pre-
satellite era and outside the tropics, the non-stationary characteristics of heat
transport at interannual time scales and other low frequencies oscillations
associated with sea level height fields undermine the methodology.
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We propose an alternative approach for the em- bedding space reconstruction method for short time series. An m-dimensional embedding space is reconstructed with a set of time delays including the relevant time scales charac- terizing... more
We propose an alternative approach for the em-
bedding space reconstruction method for short time series.
An m-dimensional embedding space is reconstructed with a
set of time delays including the relevant time scales charac-
terizing the dynamical properties of the system. By using
a maximal predictability criterion a d-dimensional subspace
is selected with its associated set of time delays, in which
a local nonlinear blind forecasting prediction performs the
best reconstruction of a particular event of a time series. An
locally unfolded d-dimensional embedding space is then ob-
tained. The efficiency of the methodology, which is mathe-
matically consistent with the fundamental definitions of the
local nonlinear long time-scale predictability, was tested with
a chaotic time series of the Lorenz system. When applied to
the Southern Oscillation Index (SOI) (observational data as-
sociated with the El Ni˜no-Southern Oscillation phenomena
(ENSO)) an optimal set of embedding parameters exists, that
allows constructing the main characteristics of the El Ni˜no
1982–1983 and 1997–1998 events, directly from measure-
ments up to 3 to 4 years in advance.
bedding space reconstruction method for short time series.
An m-dimensional embedding space is reconstructed with a
set of time delays including the relevant time scales charac-
terizing the dynamical properties of the system. By using
a maximal predictability criterion a d-dimensional subspace
is selected with its associated set of time delays, in which
a local nonlinear blind forecasting prediction performs the
best reconstruction of a particular event of a time series. An
locally unfolded d-dimensional embedding space is then ob-
tained. The efficiency of the methodology, which is mathe-
matically consistent with the fundamental definitions of the
local nonlinear long time-scale predictability, was tested with
a chaotic time series of the Lorenz system. When applied to
the Southern Oscillation Index (SOI) (observational data as-
sociated with the El Ni˜no-Southern Oscillation phenomena
(ENSO)) an optimal set of embedding parameters exists, that
allows constructing the main characteristics of the El Ni˜no
1982–1983 and 1997–1998 events, directly from measure-
ments up to 3 to 4 years in advance.