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Continental-scale knowledge of subsurface temperature is limited by the cost and sparsity of borehole measurements, but such information is essential for geothermal resource assessment and for understanding heat transport in the shallow…

Using 55 years of daily average temperatures from a local weather station, I made a least-absolute-deviations (LAD) regression model that accounts for three effects: seasonal variations, the 11-year solar cycle, and a linear trend. The…

Data Analysis, Statistics and Probability · Physics 2012-09-05 Robert J. Vanderbei

Integrating heterogeneous data sources and expert knowledge is essential for overcoming data scarcity and enhancing estimation accuracy. Two main frameworks naturally arise to perform the integration of these multiple sources: sequential…

Methodology · Statistics 2025-11-26 Mario Figueira , David Conesa , Antonio López-Quílez , Håvard Rue

Regional climate change in the $21^{st}$ century will result from the interplay between human-induced changes and internal climate variability. Competing effects from greenhouse gas warming and aerosol cooling have historically caused…

Atmospheric and Oceanic Physics · Physics 2025-10-02 Raphaël Hébert , Thomas Laepple

The provision of accurate methods for predicting the climate response to anthropogenic and natural forcings is a key contemporary scientific challenge. Using a simplified and efficient open-source general circulation model of the atmosphere…

Atmospheric and Oceanic Physics · Physics 2016-05-25 Valerio Lucarini , Frank Lunkeit , Francesco Ragone

Climate change is a pressing global concern for governments, corporations, and citizens alike. This concern underscores the necessity for these entities to accurately assess the climate impact of manufacturing goods and providing services.…

Computers and Society · Computer Science 2024-09-09 Ajay Chatterjee , Srikanth Ranganathan

Climate models exhibit an approximately invariant surface warming pattern in typical end-of-century projections. This observation has been used extensively in climate impact assessments for fast calculations of local temperature anomalies,…

Atmospheric and Oceanic Physics · Physics 2024-11-22 Paolo Giani , Arlene M. Fiore , Glenn Flierl , Raffaele Ferrari , Noelle E. Selin

We use the technique of wavelet analysis to quantitatively investigate the role of solar variability in forcing terrestrial climate change on solar cycle timescales (roughly 11 years). We examine the connection between mean annual solar…

Astrophysics · Physics 2007-05-23 Matthew J. Lewis , Katherine Freese

Latent Gaussian models (LGMs) are a popular class of Bayesian hierarchical models that include Gaussian processes, as well as certain spatial models and mixed-effect models. Efficient Bayesian inference of LGMs often requires marginalizing…

Machine Learning · Statistics 2026-05-21 Jinlin Lai , Charles C. Margossian , Daniel R. Sheldon

This paper is concerned with a contemporary Bayesian approach to the effect of temperature on developmental rates. We develop statistical methods using recent computational tools to model four commonly used ecological non-linear…

Applications · Statistics 2021-05-03 Marios Kondakis , Nikolaos Demiris , Ioannis Ntzoufras , Nikos E. Papanikolaou

In a bivariate meta-analysis the number of diagnostic studies involved is often very low so that frequentist methods may result in problems. Bayesian inference is attractive as informative priors that add small amount of information can…

Methodology · Statistics 2015-12-22 Jingyi Guo , Håvard Rue , Andrea Riebler

This paper describes an adaptation of the Optimal Localized Averaging (OLA) inversion technique, originally developed for geo- and helioseismological applications, to the interpretation of solar spectroscopic data. It focuses on inverting…

Solar and Stellar Astrophysics · Physics 2023-02-27 Piyush Agrawal , Mark P. Rast , Basilio Ruiz Cobo

Robust time series analysis is an important subject in statistical modeling. Models based on Gaussian distribution are sensitive to outliers, which may imply in a significant degradation in estimation performance as well as in prediction…

We carry out climate simulations for 1880-2003 with GISS modelE driven by ten measured or estimated climate forcings. An ensemble of climate model runs is carried out for each forcing acting individually and for all forcing mechanisms…

In his mathematical theory, Milankovic finds a link between the heat received by the Earth surface per unit time as a function of the solar ephemerids and derives a model of climate changes at periods longer than a few thousand years and…

Geophysics · Physics 2023-12-05 V. Courtillot , F. Lopes , D. Gibert , J. B Boulé , J. L Le Mouël

Data assimilation (DA) integrates observations with model forecasts to produce optimized atmospheric states, whose physical consistency is critical for stable weather forecasting and reliable climate research. Traditional Bayesian DA…

Atmospheric and Oceanic Physics · Physics 2026-03-05 Hang Fan , Lei Bai , Ben Fei , Yi Xiao , Kun Chen , Yubao Liu , Yongquan Qu , Fenghua Ling , Pierre Gentine

A new integer--valued autoregressive process (INAR) with Generalised Lagrangian Katz (GLK) innovations is defined. This process family provides a flexible modelling framework for count data, allowing for under and over--dispersion,…

Methodology · Statistics 2024-12-18 Ovielt Baltodano Lopez , Federico Bassetti , Giulia Carallo , Roberto Casarin

Max-stable processes are the most popular models for high-impact spatial extreme events, as they arise as the only possible limits of spatially-indexed block maxima. However, likelihood inference for such models suffers severely from the…

Methodology · Statistics 2022-03-14 Raphaël Huser , Michael L. Stein , Peng Zhong

Accurate and computationally-viable representations of clouds and turbulence are a long-standing challenge for climate model development. Traditional parameterizations that crudely but efficiently approximate these processes are a leading…

Atmospheric and Oceanic Physics · Physics 2024-01-05 Jerry Lin , Mohamed Aziz Bhouri , Tom Beucler , Sungduk Yu , Michael Pritchard

One of the principal bottlenecks to atmosphere characterisation in the era of all-sky surveys is the availability of fast, autonomous and robust atmospheric retrieval methods. We present a new approach using unsupervised machine learning to…

Earth and Planetary Astrophysics · Physics 2020-04-22 Joshua J. C. Hayes , E. Kerins , S. Awiphan , I. McDonald , J. S. Morgan , P. Chuanraksasat , S. Komonjinda , N. Sanguansak , P. Kittara
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