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In this paper we provide a self-contained exposition of the problem of sustaining a constant consumption level in a Ramsey model. Our focus is on the case in which the output capital-ratio is random. After a brief review of the known…

Economics · Quantitative Finance 2015-11-24 Rabi Bhattacharya , Hyeonju Kim , Mukul Majumdar

The number of species can be estimated by sampling individuals from a species assemblage. The problem of estimating generalized species accumulation curve is addressed in a nonparametric Poisson mixture model. A likelihood-based estimator…

Statistics Theory · Mathematics 2007-06-13 Chang Xuan Mao

BEF studies aim to understand how ecosystems respond to a gradient of species diversity. Diversity-Interactions (DI) models are suitable for analysing the BEF relationship. These models relate an ecosystem function response of a community…

Populations and Evolution · Quantitative Biology 2023-05-08 Rafael A. Moral , Rishabh Vishwakarma , John Connolly , Laura Byrne , Catherine Hurley , John A. Finn , Caroline Brophy

Consider making a prediction over new test data without any opportunity to learn from a training set of labelled data - instead given access to a set of expert models and their predictions alongside some limited information about the…

Machine Learning · Computer Science 2022-10-12 Alex J. Chan , Mihaela van der Schaar

Fisheries are vulnerable to environmental shocks that impact stock health and fisher income. Index insurance is a promising financial tool to protect fishers from environmental risk. However, insurance may change fisher's behavior. It is…

General Economics · Economics 2026-01-16 Nathaniel Grimes , Christopher Costello , Andrew J. Plantinga

We study a dynamic model of ecosystems where immigration plays an essential role both in assembling the species community and in mantaining its biodiversity. This framework is particularly relevant for insular ecosystems. Population…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 U. Bastolla , M. Laessig , S. Manrubia , A. Valleriani

Mutualistic networks are formed when the interactions between two classes of species are mutually beneficial. They are important examples of cooperation shaped by evolution. Mutualism between animals and plants plays a key role in the…

Populations and Evolution · Quantitative Biology 2013-08-23 Samir Suweis , Filippo Simini , Jayanth R. Banavar , Amos Maritan

Olive production is an important tree crop in Mediterranean climates. However, olive yield varies significantly due to climate change. Accurately estimating yield using remote sensing and machine learning remains a complex challenge. In…

Signal Processing · Electrical Eng. & Systems 2025-06-10 Mohamed Kefi , Tien Dat Pham , Thin Nguyen , Mark G. Tjoelker , Viola Devasirvatham , Kenichi Kashiwagi

In food webs, many interacting species coexist despite the restrictions imposed by the competitive exclusion principle and apparent competition. For the generalized Lotka-Volterra equations, sustainable coexistence necessitates nonzero…

Populations and Evolution · Quantitative Biology 2015-06-18 Jan O. Haerter , Namiko Mitarai , Kim Sneppen

A neutral ecology model is simulated on an island chain, in which neighbouring islands can exchange individuals but only the first island is able to receive immigrants from a metacommunity. It is found by several measures that biodiversity…

Populations and Evolution · Quantitative Biology 2015-05-18 Patrick B Warren

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

Collective vigilance describes how animals in groups benefit from the predator detection efforts of others. Empirical observations typically find either a many-eyes strategy with all (or many) group members maintaining a low level of…

Populations and Evolution · Quantitative Biology 2025-11-25 Charlie Pilgrim , Andrew M Bate , Anna Sigalou , Mélisande Aellen , Joe Morford , Elizabeth Warren , Christopher Krupenye , Dora Biro , Richard P Mann

The introduction of machine learning (ML) techniques to the field of survival analysis has increased the flexibility of modeling approaches, and ML based models have become state-of-the-art. These models optimize their own cost functions,…

Machine Learning · Statistics 2023-02-24 Alex Nowak-Vila , Kevin Elgui , Genevieve Robin

The self-protection of alliances against external invaders is a key concept behind the maintenance of biodiversity in the face of natural selection. But since these alliances, which can be formed by different numbers of competitors, can…

Populations and Evolution · Quantitative Biology 2022-12-07 Attila Szolnoki , Matjaz Perc

Understanding the assembly of ecosystems to estimate the number of species at different spatial scales is a challenging problem. Until now, maximum entropy approaches have lacked the important feature of considering space in an explicit…

Populations and Evolution · Quantitative Biology 2014-07-10 Matteo Adorisio , Jacopo Grilli , Samir Suweis , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

We analyze the optimal harvesting problem for an ecosystem of species that experience environmental stochasticity. Our work generalizes the current literature significantly by taking into account non-linear interactions between species,…

Probability · Mathematics 2019-08-28 Alexandru Hening , Ky Quan Tran , Tien Trong Phan , George Yin

We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is a function of the population size at the time of one of the previous impulses. A close connection to the dynamics of…

Dynamical Systems · Mathematics 2022-10-13 Jennifer Lawson , Elena Braverman

Global environmental change is affecting species distribution and their interactions with other species. In particular, the main drivers of environmental change strongly affect the strength of interspecific interactions with considerable…

Populations and Evolution · Quantitative Biology 2013-08-19 Serguei Saavedra , Rudolf P. Rohr , Vasilis Dakos , Jordi Bascompte

To successfully manage marine fisheries using an ecosystem-based approach, long-term predictions of fish stock development considering changing environmental conditions are necessary. Such predictions can be provided by end-to-end ecosystem…

Populations and Evolution · Quantitative Biology 2022-10-04 Arne N. Johanson , Andreas Oschlies , Wilhelm Hasselbring , Wilhelm Hasselbring , Boris Worm

Contemporary tasks of complex system simulation are often related to the issue of uncertainty management. It comes from the lack of information or knowledge about the simulated system as well as from restrictions of the model set being…