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Paleo-Sciences including palaeoclimatology and palaeoecology have accumulated numerous records related to climatic changes. The researchers have usually tried to identify periodic and quasi-periodic processes in these paleoscientific…

We present a comprehensive Bayesian approach to paleodemography, emphasizing the proper handling of uncertainties. We then apply that framework to survey data from Cyprus, and quantify the uncertainties in the paleodemographic estimates to…

Applications · Statistics 2024-06-13 L. M. Arthur , F. Chelazzi , D. Lawrence , M. D. Price

Molecular phylogenetic and phylogeographic reconstructions generally assume time-homogeneous substitution processes. Motivated by computational convenience, this assumption sacrifices biological realism and offers little opportunity to…

Populations and Evolution · Quantitative Biology 2013-09-13 Filip Bielejec , Philippe Lemey , Guy Baele , Andrew Rambaut , Marc A Suchard

Realistic depictions of past land cover are needed to investigate prehistoric environmental changes, effects of anthropogenic deforestation, and long term land cover-climate feedbacks. Observation based reconstructions of past land cover…

Applications · Statistics 2018-11-06 Behnaz Pirzamanbein , Anneli Poska , Johan Lindström

The Early Anthropogenic Hypothesis considers that greenhouse gas concentrations should have declined during the Holocene in absence of humankind activity, leading to glacial inception around the present. It partly relies on the fact that…

Atmospheric and Oceanic Physics · Physics 2011-12-15 Michel Crucifix

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

Applications · Statistics 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

Ice cores provide insight into the past climate over many millennia. Due to ice compaction, the raw data for any single core are irregular in time. Multiple cores have different irregularities; jointly these series are misaligned. After…

Applications · Statistics 2014-09-23 Thinh K. Doan , Andrew C. Parnell , John Haslett

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Understanding the interactions between ice sheets and global climate forcings over geological timescales is essential for projecting their future. Previous studies have highlighted the role of ice dynamics and climate interactions in…

Atmospheric and Oceanic Physics · Physics 2026-03-31 Pijush Patra , Ludovico T. Giorgini , J. S. Wettlaufer

We consider the problem of assessing goodness of fit of a single Bayesian model to the observed data in the inverse problem context. A novel procedure of goodness of fit test is proposed, based on construction of reference distributions…

Methodology · Statistics 2020-05-04 Sourabh Bhattacharya

Unstructured data from diverse sources, such as social media and aerial imagery, can provide valuable up-to-date information for intelligent situation assessment. Mining these different information sources could bring major benefits to…

Machine Learning · Computer Science 2019-04-08 Edwin Simpson , Steven Reece , Stephen J. Roberts

We consider the problem of aggregating predictions or measurements from a set of human forecasters, models, sensors or other instruments which may be subject to bias or miscalibration and random heteroscedastic noise. We propose a Bayesian…

Statistical Finance · Quantitative Finance 2021-01-12 Chirag Nagpal , Robert E. Tillman , Prashant Reddy , Manuela Veloso

This paper presents a wavelet multiresolution analysis of a time series dataset to study the correlation between the real temperature data and three temperature model reconstructions at different scales. We show that the Mann et.al. model…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Nicola Scafetta , Tim Imholt , Paolo Grigolini , Jim Roberts

Polar precipitation archived in ice caps contains information on past temperature conditions. Such information can be retrieved by measuring the water isotopic signals of $\delta{}^{18}\mathrm{O}$ and $\delta\mathrm{D}$ in ice cores. These…

Geophysics · Physics 2018-02-06 Christian T. Holme , Vasileios Gkinis , Bo M. Vinther

In a number of data-driven applications such as detection of arrhythmia, interferometry or audio compression, observations are acquired indistinctly in the time or frequency domains: temporal observations allow us to study the spectral…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Felipe Tobar , Lerko Araya-Hernández , Pablo Huijse , Petar M. Djurić

This paper aims to project a climate change scenario using a stochastic paleotemperature time series model and compare it with the prevailing consensus. The ARIMA - Autoregressive Integrated Moving Average Process model was used for this…

Econometrics · Economics 2022-04-15 Gilmar V. F. Santos , Lucas G. Cordeiro , Claudio A. Rojo , Edison L. Leismann

Recent work has provided ample evidence that nonlinear methods of time series analysis potentially allow for detecting periods of anomalous dynamics in paleoclimate proxy records that are otherwise hidden to classical statis- tical…

Atmospheric and Oceanic Physics · Physics 2018-09-27 Jasper G. Franke , Reik V. Donner

Predictability estimates of ensemble prediction systems are uncertain due to limited numbers of past forecasts and observations. To account for such uncertainty, this paper proposes a Bayesian inferential framework that provides a simple…

Modelling a complex system is almost invariably a challenging task. The incorporation of experimental observations can be used to improve the quality of a model, and thus to obtain better predictions about the behavior of the corresponding…

Computational Physics · Physics 2015-11-24 Massimiliano Bonomi , Carlo Camilloni , Andrea Cavalli , Michele Vendruscolo

Hydroclimatic time series analysis focuses on a few feature types (e.g., autocorrelations, trends, extremes), which describe a small portion of the entire information content of the observations. Aiming to exploit a larger part of the…