HS3.2 | Advanced Geostatistical Methods and Uncertainty Analysis in Hydrological and Environmental Sciences
EDI
Advanced Geostatistical Methods and Uncertainty Analysis in Hydrological and Environmental Sciences
Convener: Mathieu GraveyECSECS | Co-conveners: Emmanouil VarouchakisECSECS, Claus Haslauer, Madlene NussbaumECSECS, Thomas Mejer Hansen
Orals
| Fri, 02 May, 14:00–15:45 (CEST)
 
Room 2.17
Posters on site
| Attendance Fri, 02 May, 16:15–18:00 (CEST) | Display Fri, 02 May, 14:00–18:00
 
Hall A
Orals |
Fri, 14:00
Fri, 16:15
In recent years, the field of geostatistics has seen significant advancements, yet the focus on more traditional approaches remains crucial. These methods are fundamental in understanding spatially and temporally variable hydrological and environmental processes, which are vital for risk assessment and management of extreme events like floods and droughts.
This session aims to provide a comprehensive platform for researchers to present and discuss innovative applications and methodologies of geostatistics and spatio-temporal analysis in hydrology and related fields. The focus will be on traditional approaches and the assessment of uncertainties. Machine Learning approaches have specific and dedicated sessions.

We invite contributions that address the following topics (but not limited to):
1. Spatio-temporal Analysis of Hydrological and Environmental Anomalies:
- Methods for detecting and analyzing large-scale anomalies in hydrological and environmental data.
- Techniques to manage and predict extreme events based on spatio-temporal patterns.
2. Innovative Geostatistical Applications:
- Advances in spatial and spatio-temporal modeling.
- Applications in spatial reasoning and data mining.
- Reduced computational complexity methods suitable for large-scale problems.
3. Geostatistical Methods for Hydrological Extremes:
- Techniques for analyzing the dynamics of natural events, such as floods, droughts, and morphological changes.
- Utilization of copulas and other statistical tools to identify spatio-temporal relationships.
4. Optimization and Generalization of Spatial Models:
- Approaches to optimize monitoring networks and spatial models.
- Techniques for predicting regions with limited or unobserved data e.g., using physical-based model simulations or using secondary variables.
5. Uncertainty Assessment in Geostatistics:
- Methods for characterizing and managing uncertainties in spatial data.
- Applications of Bayesian Geostatistical Analysis and Generalized Extreme Value Distributions.
6. Spatial and Spatio-temporal Covariance Analysis:
- Exploring links between hydrological variables and extremes through covariance analysis.
- Applications of Gaussian and non-Gaussian models in spatial analysis and prediction.

Orals: Fri, 2 May | Room 2.17

Hydrological Modeling and Uncertainty Analysis
14:00–14:10
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EGU25-780
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ECS
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On-site presentation
Anagha Peringiyil, Manabendra Saharia, and Priyam Deka

Gridded precipitation products are naturally uncertain due to different factors like measurement errors, precipitation undercatch, and errors introduced by the different interpolation algorithms. Hydrological modelling is significantly influenced by the uncertainty in meteorological data. The effectiveness of advanced data assimilation systems and other tools in land surface and hydrological modeling is limited due to the lack of quantitative estimates of uncertainty for hydro-meteorological data. We have created a high-resolution ensemble precipitation dataset, Indian Precipitation Ensemble Dataset (IPED), at 0.1° resolution from 1991 to 2023 over the Indian region. This dataset is derived from observation-based precipitation data using a locally weighted linear regression algorithm. However, its potential in evaluating the uncertainties in hydrological modeling is yet to be explored. This study investigates the impact of uncertainties in precipitation data on hydrological modeling across 18 basins in India by utilizing IPED dataset into Indian Land Data Assimilation System (ILDAS), a hydrologic hydrodynamic model. The ensemble simulation employs IPED's probabilistic estimates to perform uncertainty analysis. The results highlight the extent, spatial distribution, and magnitude of uncertainties in precipitation and streamflow variables from 1991 to 2023. A key finding is that uncertainties in streamflow are significantly affected by uncertainties in precipitation. Both spatial and temporal averaging have distinctive effects on the uncertainty of different variables across the study area. In conclusion, this investigation provides a thorough understanding of how IPED dataset improves and quantifies the uncertainties in streamflow over Indian river basins that arise from precipitation data uncertainties. 

How to cite: Peringiyil, A., Saharia, M., and Deka, P.: The Impact of Precipitation Uncertainty on Hydrological Modeling: An Analysis over Indian basins, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-780, https://doi.org/10.5194/egusphere-egu25-780, 2025.

14:10–14:20
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EGU25-8367
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ECS
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On-site presentation
R Urmila Raghava Panikkar and Roshan Srivastav

Over time, many hydrologic models have been developed, ranging from physical-based to system-theoretic approaches. A simplified system-level understanding of the hydrologic process can be represented using conceptual models. Budyko framework, a lumped first-order representation of precipitation partitioning, has been widely applied to evaluate water balance. The Budyko equations are characterized by specific parameters representing the climatic and catchment characteristics. Therefore, the reliability of the framework is highly influenced by the accurate estimation of the parameters. The different input data sources can lead to varied estimates of the model parameter. The study examines the parametric uncertainties arising from various meteorological data sources. With the uncertainty attributed to precipitation, temperature, and potential evapotranspiration data sources, the study highlights the need to select and validate data sources carefully. In addition, the study highlights the challenges in parameter estimation and in capturing the underlying hydrologic processes within the Budyko framework. 

How to cite: Raghava Panikkar, R. U. and Srivastav, R.: Impact of Meteorological Data Variability on Budyko Parameter Estimations, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-8367, https://doi.org/10.5194/egusphere-egu25-8367, 2025.

14:20–14:30
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EGU25-11726
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On-site presentation
Matthew Lurtz, Michael Ronayne, and Alfredo Huete

Groundwater dependent ecosystems (GDEs) exhibit complex spatiotemporal dependency on multiple variables including precipitation, surface and soil water, and groundwater availability. While spatial relationships have been explored in many previous studies, the temporal lag between GDE vegetation health and hydrology is not well understood across a scale of anthropogenic influence. Data from three groundwater dependent ecosystems (Arkansas River in Colorado, USA; South Platte River in Colorado, USA; and the San Pedro River in Arizona, USA), each differing in magnitude of anthropogenic encroachment, are collected and analyzed to discern which hydrologic variables have the strongest correlation in time with phreatophyte health (e.g., Populus fremontii and Populus deltoides). Phreatophyte health serves as a surrogate for overall GDE health. The response variable used to estimate GDE health is a daily time series (2016-2023) of plant health that is quantified by computing the normalized difference vegetation index (NDVI) using Planet Imagery (3-m spatial resolution). The covariates are groundwater depth (meters below land surface), discharge (cubic meter per second), precipitation (mm) and temperature (deg. C). We examine the temporal dependence between the response variable and each covariate by first pre-whitening each data series using a Bayesian hierarchical autoregressive model and then applying a cross-correlation analysis to the residuals. Initial results indicate the correlation in time between NDVI and groundwater depth are highest at time t and t-1, regardless of the magnitude of anthropogenic influence, on a monthly time scale. We anticipate that at higher temporal frequency (i.e., daily) the correlation between the response and the covariates will show distinct patterns owing to alterations in the natural flow regime from agricultural practices and reservoir management. Our research highlights the complex temporal relationship between phreatophyte health and hydrology in groundwater dependent ecosystems encroached by differing magnitudes of anthropogenic influence. This research can aid conservationists in understanding the lagged impact that environmental flows, drought, land use change, and pumping-induced water table decline can have on phreatophyte health. Additionally, this research informs the choice of temporal scale (i.e., daily or monthly) at which to model groundwater dependent ecosystems in spatially distributed parameter modeling schemes.

How to cite: Lurtz, M., Ronayne, M., and Huete, A.: Comparison of temporal dependence between phreatophyte health and hydrometeorological variables for three groundwater dependent ecosystems, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-11726, https://doi.org/10.5194/egusphere-egu25-11726, 2025.

Geostatistics and Spatial Analysis
14:30–14:40
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EGU25-3875
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On-site presentation
Abrahan Mora, Juan Antonio Torres-Martínez, and Jürgen Mahlknecht

 

The main goal of this study was to determine the reliability of the double-clustering approach using hierarchical cluster analyses (HCA) to delineate the abundance of major and trace elements in groundwater of an arid watershed in northcentral Mexico, where the As geogenic contamination leads an important deterioration of the groundwater quality. For that, fifty-five groundwater samples were collected from wells within the watershed and physicochemical parameters such as pH, conductivity, temperature, and ORP were measured in situ. In the laboratory, major ions, metalloids, and trace elements were measured by ion chromatography and ICP-MS. For the development of the double-clustering approach, all the data were log-transformed and standardized to approximate normality. A first HCA was performed for clustering variables. This HCA produced six groups of variables. Then, an HCA of cases was applied to each group of variables, which delineated maps describing the magnitude of each group of variables in the aquifer. In general, the double-clustering approach was effective for identifying processes (lithogenic/anthropogenic) controlling the abundance of major and trace elements in groundwater of the above-mentioned watershed. This method identified hotspot of As, Sb, Ge, V, and W in the alluvial aquifer, suggesting a concomitant release to these elements to groundwater. In addition, the applied approach identified mountainous areas with high concentrations of HCO3-, Ca, Mg, K, Sr, Rb, Ga, Ba, Cs, Pb, Ni, Y, and U, indicating that the weathering of carbonate/silicate rocks plays an important role in the abundance of these ions/elements in groundwater. The double-clustering approach was also successful in delineating disperse areas where the salinity and the levels of Na, Cl-, SO42-, NO3-, B, Li, and the chalcophilic elements Cu, Re, and Se in groundwater were elevated, mainly related to processes such as evaporite dissolution and increasing concentrations due to the irrigation return flow. Overall, the double-clustering was also compared with spatial statistical techniques such as the Moran Index and the Local Indicator for Spatial Association (LISA), which demonstrated that the double-clustering is a powerful tool capable of visualizing zones where specific natural/anthropogenic processes may threaten the groundwater quality.

How to cite: Mora, A., Torres-Martínez, J. A., and Mahlknecht, J.: Mapping trace element abundance in groundwater using a double-clustering approach, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-3875, https://doi.org/10.5194/egusphere-egu25-3875, 2025.

14:40–14:50
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EGU25-20526
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ECS
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On-site presentation
Advanced geostatistical modeling of piezometric data in Northeastern Italy
(withdrawn)
Massimiliano Schiavo
14:50–15:00
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EGU25-19012
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ECS
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On-site presentation
Regina Castrovilli, Fabrizio Durante, Daniela Gallo, and Gianfausto Salvadori

Understanding compound events involves analyzing the interactions between different climate variables, assessing their probability of co-occurrence, and evaluating their cumulative impacts. 

This field of study has gained attention in recent years due to the increasing frequency and severity of extreme weather events, which are often linked to climate change.

Regionalization, in the study of compound events, refers to the process of tailoring analyses and models to specific geographic regions. This approach is vital because the characteristics and impacts of compound events can vary significantly across different areas due to variations in climate, geography, socio-economic conditions, and infrastructure resilience. Regionalization methods seek to identify sub-regions that display similar patterns in the variables of interest.

The objective of this talk is to offer a regionalization of intricate spatial climatological datasets, particularly when considering compound extremes.

To this end, a clustering algorithm is introduced to group time series of maxima for paired random variables observed at different stations. The approach requires different types of dissimilarity measures. In particular, it relies on the copula approach and on the use of the related Kendall distributions that are compared with the Wasserstein distance.

As an illustration, using data on daily maximum temperature (in Celsius) and daily maximum evapotranspiration (mm/day) from the ERA5 dataset, collected across various municipalities throughout Italy, enhanced estimation of climate-related metrics at specific locations are obtained by leveraging regions with statistically similar characteristics.

How to cite: Castrovilli, R., Durante, F., Gallo, D., and Salvadori, G.: Regionalization methods for compound events based on Wasserstein distance, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-19012, https://doi.org/10.5194/egusphere-egu25-19012, 2025.

15:00–15:10
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EGU25-5250
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On-site presentation
Sebastian Hoerning, Dany Lauzon, and András Bárdossy

It is frequently the case that direct and indirect measurements have to be combined to deliver meaningful estimates of the variable of interest. Linear co-regionalization, which assumes that all variables share common spatial structures, has widely been used in geostatistics to model the correlated spatial random fields. The underlying linearity assumption, however, is restrictive with respect to the choice of the direct and cross variograms, as it assumes very similar spatial structure for the direct and indirect variables. In this contribution, a new method of non-linear co-regionalization based on Fourier transformation is presented. First, the coherence of the corresponding fields based on their power spectra is introduced. The coherence gives a variogram-dependent upper and lower limit for the correlation of the random fields. The direct variograms of the two fields depend on their phase spectrum. The phase differences of these phase spectra determine the cross-variogram. A simulation method for generating correlated random fields with given direct and cross variograms is presented. The method allows the use of different models for the direct variograms as well as for the cross variogram. Further, the method enables the consideration of non-Gaussian copula-based spatial features, such as different types of spatial asymmetries. This enables the simulation of correlated fields with value-dependent correlations. A real world and various theoretical examples with different Gaussian and non-Gaussian copula-based dependence structures will be used to illustrate the methodology and its flexibility.

How to cite: Hoerning, S., Lauzon, D., and Bárdossy, A.: Spectral methods for non-linear co-regionalization, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-5250, https://doi.org/10.5194/egusphere-egu25-5250, 2025.

Remote Sensing and Data Processing
15:10–15:20
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EGU25-4442
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On-site presentation
Gregoire Mariethoz, Loïc Gerber, Audrey Lambiel, and Nathan Külling

The analysis of spatial processes in environmental and hydrological sciences is often informed by remote sensing observations, provided by satellite or airborne sensors. However, the raw data obtained by such means can present gaps, for instance due to the orbital characteristics of a satellite or to specificities of the aircraft flight path. Many applications and modeling workflows require complete, gapless data. Geostatistical approaches are often used to fill these data gaps, however the sheer size of modern remote sensing datasets make the application of traditional geostatistical approaches challenging due to computational constraints (high-resolution, broad spatial coverage) and to data characteristics (complexity of features, non-stationarity).

In this work, we develop a new approach based on multiple-point geostatistics to fill gaps in very large and non-stationary data sets. It is based on a strategy of partition of the domain in overlapping tiles. This makes the problem computationally more affordable, while additionally enabling parallelization. It also alleviates issues related to non-stationarity, since the assumption of stationarity is more likely to be valid on a small tile than on a large domain.

The approach is illustrated on a dataset that is based on acquisitions by the AVIRIS-NG hyperspectral airborne sensor in Switzerland. The data present significant gaps, and at the same time the domain is extremely large, comprising over 300 million pixels. The simulation results are visually realistic and corroborate independent validation data.

How to cite: Mariethoz, G., Gerber, L., Lambiel, A., and Külling, N.: A method for gap-filling very large spatial datasets: application to AVIRIS-based airborne data, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-4442, https://doi.org/10.5194/egusphere-egu25-4442, 2025.

Extreme Weather and Climate Prediction
15:20–15:30
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EGU25-5147
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ECS
|
On-site presentation
Seoyeong Ku, Jongjin Baik, Jongyun Byun, Jong-Suk Kim, and Changhyun Jun

Abstract

Typhoons, accompanied by strong winds and heavy rainfall, are among the most devastating natural disasters, causing significant loss of life and property damage. To prepare for disaster situations caused by typhoons, predicting Typhoon-induced Accumulated Rainfall (TAR) is crucial. Many previous studies have attempted to predict TAR by evaluating the similarity between typhoon tracks and rainfall patterns using various methods. In this study, we utilized time series data evaluating methodologies (e.g. Dynamic Time Warping, Cosine Similarity, etc.), for assessing similarity of typhoon tracks. Using the best typhoon track data from the Regional Specialized Meteorology Center, Tokyo from 1979 to 2024 (1,157 in the Western North Pacific and the South China Sea), and National Hurricane Center (727 in Atlantic and 816 in Northeast and North Central Pacific), and precipitation data from the National Oceanic and Atmospheric Administrations Climate Prediction Center. The similarity of typhoon tracks was evaluated based on the latitude and longitude of the typhoon center and various meteorological properties such as pressure, translation speed. Typhoons with highly similar tracks were clustered, and the average TAR of the clustered typhoons was used to predict the TAR. To optimize the number of typhoons included within a single cluster, we determined the Optimal Ensemble Number (OEN) based on the root mean square error between observed TAR and predicted TAR. In this process, each typhoon’s trajectory and region are considered. Using OEN, we predicted TAR and validated the performance of our method by selecting typhoons which have different tracks and rainfall characteristics. The results demonstrated that the proposed methodology achieved performance comparable to that of previous studies. These findings suggest that methodologies for evaluating the similarity of time series data can comprehensively account for not only typhoon tracks but also unique meteorological attributes, contributing to improved TAR prediction.

 

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (RS-2024-00334564).

How to cite: Ku, S., Baik, J., Byun, J., Kim, J.-S., and Jun, C.: Optimizing typhoon-induced accumulated rainfall prediction through track similarity and meteorological properties, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-5147, https://doi.org/10.5194/egusphere-egu25-5147, 2025.

15:30–15:40
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EGU25-5186
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ECS
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On-site presentation
Ítalo Mira, Leornado Santos, Antônio Miguel Monteiro, and Camilo Rennó

Understanding hydrological extremes and the factors that condition them is crucial to 
promoting the adaptability of urban watersheds. Furthermore, few studies investigate 
the spatial variability of these factors and their explanatory power. This study analyzed 
the Tamanduateí River Basin, located in São Paulo, Brazil, using data from multiple 
sources to explore the spatial relationships between inundation points occurrence and 
geo-environmental factors. Spatial autocorrelation models, as Global and Local 
Moran’s Index were applied in these points to identify patterns and areas most 
susceptible to these events. To assess the explanatory power and interaction among 
11 geo-environmental factors - including Topographic Position Index (TPI), Terrain 
Roughness Index (TRI), Sediment Transport Index (STI), Stream Power Index (SPI), 
Topographic Wetness Index (TWI), Drainage Density (DD), Height Above Nearest 
Drain (HAND), Slope, Hillshade, Distance to River (DR) and Cumulative Expanded 
Area (AEXPAND) - the Geodetector geostatistical tool was used. Subsequently, the 
Multiscale Geographically Weighted Regression (MGWR) algorithm was used to 
examine the most relevant factors, allowing a detailed analysis of the spatial interaction 
among them. The results indicated a strong spatial dependence of inundation points 
occurrence and showed significant simultaneous effects of the factors analyzed. Flat 
areas with consolidated anthropogenic use had a higher incidence of these events, 
with variables such as HAND and AEXPAND standing out. These findings reinforce the 
importance of topography and land use in the dynamics of hydrological extremes. This 
study offers an integrated approach to understanding the spatial heterogeneity of 
hydrological extremes in urban areas, contributing to the mapping of these events. In 
addition, the proposed methodology can be replicated in other regions, especially 
those with scarce spatial data, expanding the possibilities for preventing and adapting 
to extreme events in different urban contexts.

How to cite: Mira, Í., Santos, L., Monteiro, A. M., and Rennó, C.: Multivariate spatial analysis of hydrological extremes in urban watersheds, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-5186, https://doi.org/10.5194/egusphere-egu25-5186, 2025.

15:40–15:45

Posters on site: Fri, 2 May, 16:15–18:00 | Hall A

Display time: Fri, 2 May, 14:00–18:00
A.10
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EGU25-11871
Calogero Mattina, Dario Treppiedi, Antonio Francipane, and Leonardo Valerio Noto

Air temperature data are widely used in climatological and hydrological applications. In a data-rich era (e.g., satellites and reanalysis datasets), ground station data still provide a much more accurate estimate of this variable. However, in situ measurements are only representative of a single point in space, and instruments are often replaced or relocated, creating spatial and/or temporal discontinuities that prevent their direct use, and for this reason it is increasingly difficult to obtain long-term observational series.

This problem is evident in the island of Sicily, Italy, where two different air temperature measurement networks exist: the first, provided by the Osservatorio delle Acque – Agenzia Regionale per i Rifiuti e le Acque (OA-ARRA), covers the period from 1980 to 2012, while the second, provided by the Servizio Informativo Agrometeorologico Siciliano (SIAS), has continuously recorded data since 2002. From these two measurement networks, which overlap for a 10-year period, we tested and validated a methodology based on the spatial analysis techniques of interpolation of daily maximum and minimum temperature data. Specifically, we combined Ordinary Kriging with the Near Surface Lapse Rate (NSLR-OK) to account for the altitude effect in the interpolation process.

The datasets provided by the aforementioned networks were used to identify some criticalities due to the different measurement instruments used, by applying a methodology aimed at reducing biases between the two datasets. First, we interpolated the daily maximum and minimum temperature datasets from the OA-ARRA on the SIAS stations for the overlap period. The results of the interpolation procedure were compared with the data recorded at the SIAS stations returning accurate results. We then extended the interpolation from 1980 onwards using a high spatial resolution grid (2x2 km) which allowed us to create the T-Atlas for Sicily, which is a useful tool for detecting possible signals of climate change and their potential spatial patterns across the island.

How to cite: Mattina, C., Treppiedi, D., Francipane, A., and Noto, L. V.: High-Resolution Atlas of Daily Maximum and Minimum Air Temperatures in Sicily, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-11871, https://doi.org/10.5194/egusphere-egu25-11871, 2025.

A.11
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EGU25-18917
Lionel Benoit, Matthew Lucas, Denis Allard, Keri Kodama, and Thomas Giambelluca

Rainfall maps are key tools in hydrological sciences, with uses ranging from the understanding of rainfall climatology to distributed hydrological modeling. Due to the wide availability of rain gauge records and the high accuracy of these direct observations, daily rainfall maps are often derived from the spatial interpolation of rain gauge data.

Geostatistical methods are commonly used to create gridded rainfall maps from scattered rain gauge observations, and have the advantage of providing an estimation of the uncertainty associated with the interpolation process. However, the uncertainty in the resulting daily rainfall maps increases with the distance to the rain gauges, and the variance of the interpolation uncertainty tends to the variance of the rainfall signal itself at grid points far from any rain gauge. This also results in daily rainfall maps with over-smooth spatial gradients, in particular in mountains areas where rain gauge networks are relatively sparse and rainfall gradients strong.

To overcome this limitation, we propose to condition daily rainfall maps not only to daily rain gauge observations, but also to monthly totals that can be available at ungauged locations. These monthly totals can be derived for instance from monthly rainfall maps incorporating additional observations recorded by rain gauges operating at the monthly resolution, as well as information about long-term rainfall patterns (obtained from e.g., vegetation patterns or past rainfall monitoring campaigns). This task is complicated by the fact that the geostatistical model we use is complex due to the intention to account for the temporal variability of daily rainfall patterns, and we therefore resort to a Metropolis within Gibbs algorithm to perform the conditioning to monthly totals.

The performance of the method is assessed for the Island of Hawai‘i (state of Hawaii, USA) which is known to experience dramatic rainfall gradients. Results show that the proposed approach drastically improves the modeling of daily rainfall gradients in poorly gauges areas as well as at the edges of the modeling domain.

How to cite: Benoit, L., Lucas, M., Allard, D., Kodama, K., and Giambelluca, T.: Improving rainfall gradients modeling by conditioning daily rainfall maps to monthly totals, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-18917, https://doi.org/10.5194/egusphere-egu25-18917, 2025.

A.12
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EGU25-4179
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ECS
Carlos Rodriguez-Pardo, Marta Mastropietro, Jonathan Spinoni, and Massimo Tavoni

Climate extreme events pose significant societal and environmental challenges, yet their prediction remains complex due to their rare occurrence and inherent variability. We present a novel probabilistic deep learning framework that predicts multiple climate extremes directly from simple variables, namely monthly temperature and precipitation. Our approach employs a conditional generative adversarial network with a modified U-Net architecture, incorporating self-attention mechanisms and fully-residual blocks to capture long-range spatial dependencies and provide precise estimations. The model is trained using a combination of adversarial, perceptual, physical, and frequency losses, along with an extensive data augmentation pipeline designed explicitly for gridded climate data. We show that our approach achieves superior performance compared to different baselines in predicting nine different climate extreme indices, including droughts, temperature extremes, heat waves, cold waves, and precipitation and snow extremes. Importantly, our framework provides uncertainty estimates, essential for decision-making in climate adaptation strategies. Through comprehensive ablation studies, we show the relative importance of different architectural components and training strategies. Our results suggest that deep learning can effectively bridge the gap between monthly climate variables and extreme event prediction, offering a computationally efficient alternative to traditional climate modeling approaches while maintaining physical consistency and providing uncertainty quantification.

How to cite: Rodriguez-Pardo, C., Mastropietro, M., Spinoni, J., and Tavoni, M.: Probabilistic prediction of climate extreme events with deep learning, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-4179, https://doi.org/10.5194/egusphere-egu25-4179, 2025.

A.13
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EGU25-18625
Saran Raaj, Vivek Gupta, and Vishal Singh

There are several variables which are the triggering factor for floods, among them precipitation, soil moisture and snowmelt is a critical factor which plays a crucial role in snow covered mountain regions. This study uses Vine Copula to determine the dependency structure of the joint variable distribution between precipitation, soil moisture and snowmelt in Beas River basin. In this study, the SWAT model is coupled with the Vine Copula model to conduct multivariate analysis for flood using the sub-basins parameters. For this purpose, the 45-year data which is generated from SWAT model were used. The Vine copula technique approach requires the marginal distributions for each variable and different copula function that combines the marginal data in a tree structure to generate a joint distribution. Considering the range of the variables eight univariant marginal functions were chosen. Once marginal distribution is determined, 18 list of copulas were used to analyse the correlation of variables in pairwise. Later tree sequence of R-, D- and C-vine copulas were analysed in the study. Finally, according to the structure and nature of the data, R-vine copula was selected as the best copula and the relevant tree sequence was later used. Kendall’s tau test was used to check the correlation of the variables in pairwise and showed good correlation. This study proves to be an effective approach in improvising the flood prediction and control of flood risks.

How to cite: Raaj, S., Gupta, V., and Singh, V.: Assessing the multivariant effect on floods using the coupled SWAT -Copula model, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-18625, https://doi.org/10.5194/egusphere-egu25-18625, 2025.

A.14
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EGU25-5489
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ECS
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Damilya Saduakhas, David Bolin, Alexandre B. Simas, and Jonas Wallin

Accurate modeling of multivariate spatial processes is essential for interpreting complex environmental datasets, such as those collected by the Argo project on ocean temperature and salinity. Traditional geostatistical models often assume independent measurement errors, which can lead to biased parameter estimates and inaccurate spatial predictions, especially in the presence of correlated noise and high small-scale variability. This study advances the conventional geostatistical framework by integrating a correlation term within the nugget effect, thereby accommodating correlated measurement errors in bivariate Matérn Stochastic Partial Differential Equations (SPDE) models.

We analyzed global Argo profile data spanning from 2007 to 2020 to assess the impact of the correlated nugget effect on variable estimation and spatial prediction. Enhanced models were developed for both Gaussian and non-Gaussian (Normal-Inverse Gaussian) driving noises. Our findings indicate that neglecting measurement noise correlation distorts the estimated dependencies between variables, resulting in substantial misestimation of the true dependence structure, particularly under strong noise correlations.

Applying our methodology to real-world Argo data, we employed a moving-window approach alongside the Matérn-SPDE model to predict temperature and salinity at unobserved oceanic locations. Cross-validation metrics, including the Continuous Ranked Probability Score (CRPS) and Mean Squared Error (MSE), demonstrated that models incorporating the correlated nugget effect consistently outperformed traditional models. This improvement was particularly notable in capturing small-scale variations and underlying dependencies, thereby enhancing interpretability and predictive accuracy.

These results underscore the critical importance of accounting for measurement noise correlation in multivariate geostatistical analyses. By refining dependence structures and improving predictive accuracy, our work contributes to more robust multivariate spatial analyses in climate and oceanography, encouraging further research into non-stationary and higher-dimensional extensions within environmental geostatistics.

How to cite: Saduakhas, D., Bolin, D., Simas, A. B., and Wallin, J.: Correlated Nugget Effects in Multivariate SPDE Models: Enhancing Ocean Data Predictions, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-5489, https://doi.org/10.5194/egusphere-egu25-5489, 2025.

A.15
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EGU25-13101
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ECS
Liming Guo, Thomas Hermans, Nicolas Benoit, David Dudal, Ellen Van De Vijver, Rasmus Madsen, Jesper Nørgaard, and Wouter Deleersnyder

Airborne electromagnetics (AEM) is a key tool for 3D subsurface imaging, enabling fast, efficient collection of large datasets for hydrogeological studies (Deleersnyder et al., 2023; Madsen et al., 2022). Combined with geostatistical modelling techniques, AEM data generates geologically realistic, data-consistent subsurface models (Hermans et al., 2015). Geostatistics integrates diverse data, captures geological variability, and addresses parameter uncertainties. This study integrates AEM inversion results with the Markov-type categorical prediction (MCP) method to improve subsurface modelling, using a 3D hydrogeological site in Denmark.

The study area has 13 lithological layers, ranging from Quaternary sands and clays to Miocene and Paleogene clays, as well as a limestone layer at the base (Madsen et al., 2022). A practical workflow was developed to create a lithological model using AEM data and borehole observations. The process starts by extracting 100 2D transects from an existing 3D lithological model. These transects are used to calculate 2D bivariate probabilities, which describe the spatial relationships between different lithological units (Benoit et al. 2018). The 100 individual probabilities are then merged into a single bivariate probability distribution, which is used to calculate conditional probabilities in the Markov-type categorical prediction (MCP) method.

AEM data were integrated with borehole observations to enhance the accuracy of the lithological modelling. A stochastic petrophysical model linked lithological classes to inverted AEM resistivity values. The permanence of ratios concept combined MCP-derived conditional probabilities with geophysical data, ensuring consistent relative contributions.

Figure 1: Overview of Integrating Borehole and TEM Data into MCP-Based Geological Modelling

The real-world application to the Danish hydrogeological site highlighted the robustness of the integrated approach. Cross-sections from the 3D model showed clear improvements in lithological delineation compared to non-constrain simulations. These results present the potential of geophysically constrained MCP simulations to support resource management and groundwater modelling in complex geological settings.


References
Benoit, N., Marcotte, D., Boucher, A., D’Or, D., Bajc, A. and Rezaee, H., (2018). Directional hydrostratigraphic units simulation using MCP algorithm. Stochastic environmental research and risk assessment, 32, 1435-1455.

Deleersnyder, W., Maveau, B., Hermans, T., & Dudal, D. (2023). Flexible quasi-2D inversion of time-domain AEM data, using a wavelet-based complexity measure. Geophysical Journal International, 233(3), 1847–1862.

Hermans, T., Nguyen, F. and Caers, J., (2015). Uncertainty in training image‐based inversion of hydraulic head data constrained to ERT data: Workflow and case study. Water Resources Research, 51(7), 5332-5352.

Madsen, R. B., Høyer, A.-S., Andersen, L. T., Møller, I., & Hansen, T. M. (2022). Geology-driven modeling: A new probabilistic approach for incorporating uncertain geological interpretations in 3D geological modeling. Geological Survey of Denmark and Greenland. Institute for Geoscience, University of Aarhus.

How to cite: Guo, L., Hermans, T., Benoit, N., Dudal, D., Van De Vijver, E., Madsen, R., Nørgaard, J., and Deleersnyder, W.: Improved 3D Geological Modelling with Geophysical Data and Markov-Type Categorical Prediction, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-13101, https://doi.org/10.5194/egusphere-egu25-13101, 2025.

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EGU25-16444
Katerina Spanoudaki, Anna Kaminska Chuchmala, and Emmanouil A. Varouchakis

Accurate spatiotemporal prediction of wave energy fields is critical for harnessing marine renewable energy, particularly in dynamic and complex regions like the Aegean Sea. The current work focuses on the spatiotemporal wave data analysis combining numerical wave modelling and geostatistical methods, for estimating the Wave Energy Potential for the Aegean Sea, an area with unsustainable energy production. The ERA5 produced by ECMWF reanalysis dataset which combines a weather model with observational data from satellites and ground sensors, is used to force NOAA/NCEP’s WAVEWATCH III numerical model to obtain the significant wave height and mean wave period for the area of interest over a fine grid of 3 x 3 km resolution. Geostatistical modelling, by means of co-kriging employing the recently established non-differentiable Spartan semivariogram and leveraging auxiliary variables such as wind data, is employed to estimate significant wave height variability and wave energy potential at finer coastal scales. Results of the geostatistical analysis are cross-validated with existing observations as well as with the results obtained from the computational methods. Spatiotemporal geostatistical or other stochastic spatiotemporal approaches have not been used with marine data and detailed studies of temporal, seasonal and spatial distribution analysis of significant wave height and wave energy potential is being carried out for the first time using these methods for the Aegean Sea. Updated spatial maps of the significant wave height and period and of the wave energy potential distribution for long-term seasonal changes are provided, based on results spanning a 20-year period, that reaches up to current years. The proposed integrated framework is relocatable to other areas of the Mediterranean Sea and provides insight into the application of the less computationally intensive geostatistical modelling in marine wave data.

How to cite: Spanoudaki, K., Kaminska Chuchmala, A., and Varouchakis, E. A.: An integrated Geostatistical and Numerical Modelling framework for Spatiotemporal Analysis of Wave Energy Fields in the Aegean Sea, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-16444, https://doi.org/10.5194/egusphere-egu25-16444, 2025.