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Related papers: Spatial Models for Field Trials

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The Gaussian random field (GRF) and the Gaussian Markov random field (GMRF) have been widely used to accommodate spatial dependence under the generalized linear mixed model framework. These models have limitations rooted in the symmetry and…

Methodology · Statistics 2022-12-15 Marcos O. Prates , Dipak K. Dey , Michael R. Willig , Jun Yan

In the presence of unmeasured spatial confounding, spatial models may actually increase (rather than decrease) bias, leading to uncertainty as to how they should be applied in practice. We evaluated spatial modeling approaches through…

We present an extension of the functional data analysis framework for univariate functions to the analysis of surfaces: functions of two variables. The spatial spline regression (SSR) approach developed can be used to model surfaces that…

Methodology · Statistics 2013-06-17 Hien D. Nguyen , Geoffrey J. McLachlan , Ian A. Wood

In plant and animal breeding studies a distinction is made between the genetic value (additive + epistatic genetic effects) and the breeding value (additive genetic effects) of an individual since it is expected that some of the epistatic…

Applications · Statistics 2014-02-11 Deniz Akdemir

We present a novel framework for the probabilistic modelling of random fourth order material tensor fields, with a focus on tensors that are physically symmetric and positive definite (SPD), of which the elasticity tensor is a prime…

Computational Engineering, Finance, and Science · Computer Science 2025-04-03 Sharana Kumar Shivanand , Bojana Rosić , Hermann G. Matthies

In agricultural landscapes, the composition and spatial configuration of cultivated and semi-natural elements strongly impact species dynamics, their interactions and habitat connectivity. To allow for landscape structural analysis and…

Populations and Evolution · Quantitative Biology 2020-03-05 Patrizia Zamberletti , Julien Papaïx , Edith Gabriel , Thomas Opitz

In this paper we consider the problem of bootstrapping a class of spatial regression models when the sampling sites are generated by a (possibly nonuniform) stochastic design and are irregularly spaced. It is shown that the natural…

Statistics Theory · Mathematics 2007-06-13 S. N. Lahiri , Jun Zhu

Nonstationary and non-Gaussian spatial data are common in various fields, including ecology (e.g., counts of animal species), epidemiology (e.g., disease incidence counts in susceptible regions), and environmental science (e.g.,…

Methodology · Statistics 2024-04-01 Remy MacDonald , Benjamin Seiyon Lee

A common assumption in the spatial analysis of agricultural field trials is stationarity. In practice, however, this assumption is often violated due to unaccounted field effects. For instance, in plant breeding field trials, this can lead…

Methodology · Statistics 2025-12-16 Karen Wolf , Pierre Fernique , Hans-Peter Piepho

Understanding the suitability of agricultural land for applying specific management practices is of great importance for sustainable and resilient agriculture against climate change. Recent developments in the field of causal machine…

Machine Learning · Computer Science 2022-04-28 Georgios Giannarakis , Vasileios Sitokonstantinou , Roxanne Suzette Lorilla , Charalampos Kontoes

When setting up field experiments, to test and compare a range of genotypes (e.g. maize hybrids), it is important to account for any possible field effect that may otherwise bias performance estimates of genotypes. To do so, we propose a…

Neural and Evolutionary Computing · Computer Science 2019-07-23 Vitaliy Feoktistov , Stephane Pietravalle , Nicolas Heslot

P-spline models have achieved great popularity both in statistical and in applied research. A possible drawback of P-spline is that they assume a smooth transition of the covariate effect across its whole domain. In some practical…

We propose a model-based geostatistical approach to deal with regionalized compositions. We combine the additive-log-ratio transformation with multivariate geostatistical models whose covariance matrix is adapted to take into account the…

The matrix exponential spatial models exhibit similarities to the conventional spatial autoregressive model in spatial econometrics but offer analytical, computational, and interpretive advantages. This paper provides a comprehensive review…

Econometrics · Economics 2023-11-28 Ye Yang , Osman Dogan , Suleyman Taspinar , Fei Jin

Spatial econometric research typically relies on the assumption that the spatial dependence structure is known in advance and is represented by a deterministic spatial weights matrix. Contrary to classical approaches, we investigate the…

Computation · Statistics 2023-10-24 Miryam S. Merk , Philipp Otto

Genomic regions (or loci) displaying outstanding correlation with some environmental variables are likely to be under selection and this is the rationale of recent methods of identifying selected loci and retrieving functional information…

Populations and Evolution · Quantitative Biology 2013-08-13 Gilles Guillot

Understanding the complex nature of spatial information is crucial for problem solving in social and environmental sciences. This study investigates how the underlying patterns of spatial data can significantly influence the outcomes of…

Physics and Society · Physics 2024-09-17 Peng Luo , Yongze Song , Wenwen Li , Liqiu Meng

For multivariate nonparametric regression, functional analysis-of-variance (ANOVA) modeling aims to capture the relationship between a response and covariates by decomposing the unknown function into various components, representing main…

Methodology · Statistics 2019-06-20 Ting Yang , Zhiqiang Tan

One of the challenges with functional data is incorporating spatial structure, or local correlation, into the analysis. This structure is inherent in the output from an increasing number of biomedical technologies, and a functional linear…

Applications · Statistics 2011-11-07 Timothy W. Randolph , Jaroslaw Harezlak , Ziding Feng

We provide a flexible framework for selecting among a class of additive partial linear models that allows both linear and nonlinear additive components. In practice, it is challenging to determine which additive components should be…

Methodology · Statistics 2021-09-20 Seonghyun Jeong , Taeyoung Park , David A. van Dyk