Article
Environmental Sciences
Ke Rao, Xiang Zhang, Mo Wang, Jianfeng Liu, Wenqi Guo, Guangwei Huang, Jing Xu
Summary: The phytoplankton community is influenced by various environmental factors, making prediction of their dynamics challenging. Different phytoplankton groups respond differently to environmental factors, with reducing nutrients being effective in mitigating the adverse effects of warming and water project constructions.
ENVIRONMENTAL POLLUTION
(2021)
Article
Mathematics
Rehan Ahmad Khan Sherwani, Sadia Iqbal, Shumaila Abbas, Muhammad Aslam, Ali Hussein AL-Marshadi
Summary: This research introduces the neutrosophic negative binomial distribution to address issues related to interval-valued data under the negative binomial distribution, including derivations of various properties of the proposed distribution and discussions on its applications in real data scenarios.
JOURNAL OF MATHEMATICS
(2021)
Article
Environmental Sciences
Juho Kettunen, Lauri Mehtatalo, Eeva-Stiina Tuittila, Aino Korrensalo, Jarno Vanhatalo
Summary: Joint species distribution models are important statistical tools in community ecology, but they cannot model mutual exclusion between species. This study proposes a hierarchical model that can simulate species' niche preferences and competition simultaneously, and evaluates the model performance using a decision theoretic model comparison and validation approach. The results show that ignoring interspecific interactions and competition reduces model predictive performance and leads to biased estimates.
Article
Computer Science, Interdisciplinary Applications
Luc Devroye
Summary: This paper presents a uniformly efficient and simple random variate generator for the truncated negative gamma distribution restricted to any interval. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Ecology
Alberto Jimenez-Valverde, Pedro Aragon, Jorge M. Lobo
Summary: Estimating local suitability with species distribution models (SDMs) can indicate the maximum abundance attainable by species, but the abundance-suitability relationship is typically wedge-shaped. The shape of this relationship is directly related to maximum abundance and is influenced by SDM quality and species prevalence.
GLOBAL ECOLOGY AND BIOGEOGRAPHY
(2021)
Review
Biodiversity Conservation
Conor Waldock, Rick D. Stuart-Smith, Camille Albouy, William W. L. Cheung, Graham J. Edgar, David Mouillot, Jerry Tjiputra, Loic Pellissier
Summary: The contributions of species to ecosystem functions or services depend on their presence and local abundance, but current predictive spatial models focus more on species occurrence rather than abundance. The study found significant variation in the performance of abundance-based models, with random forests providing the best predictions in certain scenarios.
Article
Statistics & Probability
Lizandra C. Fabio, Cristian Villegas, Jalmar M. F. Carrasco, Mario de Castro
Summary: This paper focuses on the development of a multivariate negative binomial (MNB) regression model and diagnostic tools for detecting atypical and influential subjects. The MNB model can accommodate both intraclass correlation and overdispersion, and provides measures such as randomized quantile residuals and influence measures to evaluate the adequacy of the model and assess the influence of individual subjects.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2023)
Article
Mathematics
Zahra Zandi, Hossein Bevrani, Reza Arabi Belaghi
Summary: The study addressed parameter estimation in the zero-inflated negative binomial model and proposed multiple estimators to deal with inactive factors in the response variable. Simulation results showed that the proposed estimators outperformed the unrestricted estimator.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
(2021)
Article
Statistics & Probability
Yuguang Ipsen, Ross A. Maller, Soudabeh Shemehsavar
Summary: In this study, the large-sample distribution of the number of species in a version of Kingman's Poisson-Dirichlet model was derived. It introduced a two-parameter version of the Dickman distribution, expanding on the existing single-parameter version, thereby enriching the range of distributions available for modeling purposes.
ADVANCES IN APPLIED PROBABILITY
(2021)
Article
Biodiversity Conservation
W. Nikolaus Probst, Christopher P. Lynam, Joanna K. Bluemel, Maurice Clarke
Summary: The demand for comprehensive biodiversity assessments is increasing, and ecosystem-based approach to management is being implemented. One important aspect of the assessments is the evaluation of demersal fish communities. However, there is a preference for assessments at the species level rather than the community level.
ECOLOGICAL INDICATORS
(2023)
Article
Computer Science, Information Systems
Fatma Najar, Nizar Bouguila
Summary: This article presents the exact calculation of the Fisher information matrix (EFIM) for the generalized Dirichlet multinomial (GDM) mixture. A parametrization method using the Beta-binomial probability function is proposed to determine the matrix elements. A novel count data modeling approach with the benefit of EFIM is also introduced. Experiments on various tasks confirm the capability of the proposed approach and the merits of using EFIM compared to existing methods.
INFORMATION SCIENCES
(2022)
Article
Mathematics, Applied
Jose A. Adell
Summary: This article introduces a probabilistic representation method for special functions and analytic constants, using inverse moments of [0, 1]-valued random variables. Fast computations and explicit upper bounds for remainder terms are provided. One of the notable features is the use of negative binomial probabilities in the coefficients of the main term approximation, which can be precomputed and stored. Applications to various functions and constants are demonstrated.
MEDITERRANEAN JOURNAL OF MATHEMATICS
(2023)
Article
Agriculture, Multidisciplinary
I Ozturk
Summary: This study discusses the factors affecting fertilization in small and medium-sized dairy farms in the Southeastern Anatolia region of Turkey, including the breed of cattle, diseases, and the experience of artificial insemination specialists. The study finds that the fertility data follows a Poisson distribution.
JOURNAL OF ANIMAL AND PLANT SCIENCES-JAPS
(2022)
Article
Statistics & Probability
Bogdan Cmiel, Jakub Nawala, Lucjan Janowski, Krzysztof Rusek
Summary: This paper introduces a class of discrete probability distributions with a limited support, commonly found in Multimedia Quality Assessment and other research fields. Instead of using a latent variable approach, the paper proposes the Generalised Score Distribution (GSD) class with only two parameters. The GSD class covers the entire range of possible means and variances and can be easily estimated by the method of moments or Maximum Likelihood Estimation (MLE).
STATISTICAL PAPERS
(2023)
Letter
Biodiversity Conservation
Christos Mammides, Eben Goodale, Salindra K. Dayananda, Kang Luo, Jin Chen
Summary: Bradfer-Lawrence et al. (2020) used a novel modeling approach to analyze acoustic indices, making an important contribution to the literature. However, their argument about acoustic evenness index is challenged, as higher species richness does not always lead to less even soundscapes.
ECOLOGICAL INDICATORS
(2021)
Article
Biodiversity Conservation
Simone L. Stevenson, Skipton N. C. Woolley, Jon Barnett, Piers Dunstan
CONSERVATION BIOLOGY
(2020)
Article
Ecology
Scott D. Foster, Geoffrey R. Hosack, Jacquomo Monk, Emma Lawrence, Neville S. Barrett, Alan Williams, Rachel Przeslawski
METHODS IN ECOLOGY AND EVOLUTION
(2020)
Article
Biology
Skipton N. C. Woolley, Scott D. Foster, Nicholas J. Bax, Jock C. Currie, Daniel C. Dunn, Cecilie Hansen, Nicole Hill, Timothy D. O'Hara, Otso Ovaskainen, Roger Sayre, Jarno P. Vanhatalo, Piers K. Dunstan
Article
Multidisciplinary Sciences
Nicholas R. Perkins, Geoffrey R. Hosack, Scott D. Foster, Jacquomo Monk, Neville S. Barrett
Article
Ecology
Nicole Hill, Skipton N. C. Woolley, Scott Foster, Piers K. Dunstan, John McKinlay, Otso Ovaskainen, Craig Johnson
METHODS IN ECOLOGY AND EVOLUTION
(2020)
Article
Ecology
Scott D. Foster
Summary: A well-considered survey design is crucial for generating representative data from the sample population. Spatially balanced randomisation with unequal inclusion probabilities is an efficient method within sampling theory. The R-package MBHdesign provides field researchers with easy access to these designs and implements point-based and transect-based methods.
METHODS IN ECOLOGY AND EVOLUTION
(2021)
Article
Ecology
Scott D. Foster, Jarno Vanhatalo, Verena M. Trenkel, Torsti Schulz, Emma Lawrence, Rachel Przeslawski, Geoffrey R. Hosack
Summary: This study examines the effectiveness of data reuse in ecological research and finds that ignoring survey designs can lead to up to 250% bias in density estimates, which cannot be reduced by adding more data. It suggests using appropriate estimators or models to mitigate this bias.
ECOLOGICAL APPLICATIONS
(2021)
Article
Environmental Sciences
Jarno Vanhatalo, Scott D. Foster, Geoffrey R. Hosack
Summary: This study introduces a finite mixture model for spatial and spatiotemporal clustering that incorporates spatial and spatiotemporal autocorrelation and environmental covariates using Gaussian processes. Bayesian inference through approximation methods, including Laplace approximation and Markov chain Monte Carlo approaches, is employed for efficient and accurate analysis of large datasets. Results suggest that the Laplace approximation is a useful alternative to MCMC methods for spatial and spatiotemporal clustering.
Article
Parasitology
Adrien Ickowicz, Scott D. Foster, Geoffrey R. Hosack, Keith R. Hayes
Summary: Reproductive containment provides a chance for staged-release genetic control strategies of malaria vectors. A model was developed to study the spread and persistence of genetically modified sterile male mosquitoes, with results indicating that they will remain localized and persist for a short duration.
PARASITES & VECTORS
(2021)
Article
Environmental Sciences
J. R. A. Butler, R. M. Wise, S. Meharg, N. Peterson, E. L. Bohensky, G. Lipsett-Moore, T. D. Skewes, D. Hayes, M. Fischer, P. Dunstan
Summary: Adaptation pathways are decision-making processes that can guide climate-resilient development in developing economies. In Papua New Guinea's Bismarck Sea, an adaptation pathways approach was tested for natural resource development and proved effective despite complex political dynamics.
ENVIRONMENTAL SCIENCE & POLICY
(2022)
Article
Multidisciplinary Sciences
Scott D. Foster, Pierre Feutry, Peter Grewe, Campbell Davies
Summary: The amount of information needed for analytical tasks in population genetics depends on the number of individuals sampled and the genetic markers measured, with different tasks requiring varying numbers of individuals and genetic markers. Real data from sampling locations across the tropical Pacific Ocean were used to assess genetic differences and sample sizes for tasks such as profile testing, stock delineation, and assignment of individuals to stocks in yellowfin tuna populations. Task-specific sample size requirements were determined to help guide the design of molecular ecological surveys for yellowfin tuna.
Letter
Ecology
Jan Jansen, Skipton N. C. Woolley, Piers K. Dunstan, Scott D. Foster, Nicole A. Hill, Marcus Haward, Craig R. Johnson
NATURE ECOLOGY & EVOLUTION
(2022)
Article
Fisheries
T. P. Lynch, S. Foster, C. Devine, A. Hegarty, F. McEnnulty, M. Burton, J. M. Lyle
ICES JOURNAL OF MARINE SCIENCE
(2020)