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Raw moments are used as a way to estimate species abundance distribution. The almost linear pattern of the log transformation of raw moments across scales allow us to extrapolate species abundance distribution for larger areas. However,…

Populations and Evolution · Quantitative Biology 2021-07-06 Saeid Alirezazadeh , Khadijeh Alibabaei

Joint species distribution models (JSDM) are among the most important statistical tools in community ecology. They are routinely used for inference and various prediction tasks, such as to build species distribution maps or biomass…

Exploring statistics of locally connected subgraph patterns (also known as network motifs) has helped researchers better understand the structure and function of biological and online social networks (OSNs). Nowadays the massive size of…

Social and Information Networks · Computer Science 2014-03-28 Pinghui Wang , John C. S. Lui , Bruno Ribeiro , Don Towsley , Junzhou Zhao , Xiaohong Guan

Subsampling is a general statistical method developed in the 1990s aimed at estimating the sampling distribution of a statistic $\hat \theta _n$ in order to conduct nonparametric inference such as the construction of confidence intervals…

Statistics Theory · Mathematics 2021-12-14 Dimitris N. Politis

Phytoplankton plays an important role in marine ecosystem. It is defined as a biological factor to assess marine quality. The identification of phytoplankton species has a high potential for monitoring environmental, climate changes and for…

Machine Learning · Statistics 2017-01-24 Thi-Thu-Hong Phan , Emilie Poisson Caillault , André Bigand

If the prior probability distributions of all possible hypothetical true means and all possible observed means of a continuous variable are conditional on the universal set of all numbers (i.e., before the nature of a study is known and a…

Methodology · Statistics 2025-06-05 Huw Llewelyn

In biospectroscopy, suitably annotated and statistically independent samples (e. g. patients, batches, etc.) for classifier training and testing are scarce and costly. Learning curves show the model performance as function of the training…

Applications · Statistics 2015-05-05 Claudia Beleites , Ute Neugebauer , Thomas Bocklitz , Christoph Krafft , Jürgen Popp

We propose a statistical method to test whether two phylogenetic trees with given alignments are significantly incongruent. Our method compares the two distributions of phylogenetic trees given by the input alignments, instead of comparing…

Populations and Evolution · Quantitative Biology 2010-04-14 Elissaveta Arnaoudova , David Haws , Peter Huggins , Jerzy W. Jaromczyk , Neil Moore , Chris Schardl , Ruriko Yoshida

Repetitions within a given genealogical tree provides some information about the degree of consanguineity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Oscar Pla

Predictions of biodiversity trajectories under climate change are crucial in order to act effectively in maintaining the diversity of species. In many ecological applications, future predictions are made under various global warming…

Quantitative Methods · Quantitative Biology 2022-07-19 Matthew Davidow , Cory Merow , Judy Che-Castaldo , Toryn Schafer , Marie-Christine Duker , Derek Corcoran , David Matteson

It is a common contention that it is an ``impossible mission'' to exactly determine the minimum sample size for the estimation of a binomial parameter with prescribed margin of error and confidence level. In this paper, we investigate such…

Statistics Theory · Mathematics 2007-08-02 Xinjia Chen

We study a universal object for the genealogy of a sample in populations with mutations: the critical birth-death process with Poissonian mutations, conditioned on its population size at a fixed time horizon. We show how this process arises…

Probability · Mathematics 2014-07-30 G. Achaz , C. Delaporte , A. Lambert

Quantitative methods for studying biodiversity have been traditionally rooted in the classical theory of finite frequency tables analysis. However, with the help of modern experimental tools, like high throughput sequencing, we now begin to…

Methodology · Statistics 2015-12-22 Maciej Pietrzak , Grzegorz A. Rempała , Michał Seweryn , Jacek Wesołowski

Accurate relative spectrophotometry is critical for many science applications. Small wavelength scale residuals in the flux calibration can significantly impact the measurements of weak emission and absorption features in the spectra. Using…

Instrumentation and Methods for Astrophysics · Physics 2011-10-14 Renbin Yan

Citizen science databases that consist of volunteer-led sampling efforts of species communities are relied on as essential sources of data in ecology. Summarizing such data across counties with frequentist-valid prediction sets for each…

Methodology · Statistics 2023-11-28 Elizabeth Bersson , Peter D. Hoff

Species sampling processes have long served as the fundamental framework for modeling random discrete distributions and exchangeable sequences. However, data arising from distinct but related sources require a broader notion of…

Statistics Theory · Mathematics 2026-02-03 Beatrice Franzolini , Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Species distribution models (SDMs) commonly produce probabilistic occurrence predictions that must be converted into binary presence-absence maps for ecological inference and conservation planning. However, this binarization step is…

1. Joint Species Distribution models (JSDMs) explain spatial variation in community composition by contributions of the environment, biotic associations, and possibly spatially structured residual covariance. They show great promise as a…

Quantitative Methods · Quantitative Biology 2023-03-28 Maximilian Pichler , Florian Hartig

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

The spatial scale of population synchrony gives the characteristic distance at which the population fluctuations are correlated. Therefore, it gives also the characteristic size of the regions of simultaneous population depletion, or even…

Populations and Evolution · Quantitative Biology 2020-12-22 Miguel Ángel Fernández-Grande , Francisco Javier Cao-Garcia
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