Preprints
Filtering by Subject: Mathematics
Multi-scale collapse of coral cover under climate change
Published: 2026-04-09
Subjects: Applied Mathematics, Applied Statistics, Biodiversity, Biology, Dynamic Systems, Ecology and Evolutionary Biology, Environmental Indicators and Impact Assessment, Environmental Monitoring, Longitudinal Data Analysis and Time Series, Marine Biology, Mathematics, Numerical Analysis and Computation, Research Methods in Life Sciences, Statistical Methodology, Statistical Models, Survival Analysis, Systems Biology
Projecting ecosystem trajectories under future climates is critical for conservation planning, yet remains constrained by uncertainty arising from limited data, ecological complexity, and biological and environmental variability. Variability, when disentangled from uncertainty, offers critical insights into population and community dynamics. For example, enhanced vital rates (growth, survival, [...]
A Unified Hypergraph- and SuperHyperGraph-Based Framework for Food Web Extension: From Classical Food Webs to SuperHyperWebs in Ecological Systems
Published: 2025-07-01
Subjects: Applied Mathematics, Food Science, Life Sciences, Mathematics, Physical Sciences and Mathematics
Hypergraphs generalize graphs by allowing hyperedges to join any number of vertices, while superhypergraphs further extend this idea by layering iterated powersets to capture hierarchical, self-referential connections. A food web models an ecosystem as a directed graph whose nodes are species and whose edges represent predator–prey interactions. In this paper, we introduce two novel extensions of [...]
Scientific maps should reach everyone: a straightforward approach to let colour blind people visualise spatial patterns
Published: 2022-09-09
Subjects: Computer Sciences, Earth Sciences, Environmental Sciences, Mathematics, Physical Sciences and Mathematics
Maps represent powerful tools to show the spatial variation of a variable in a straightforward manner. A crucial aspect in map rendering for its interpretation by users is the gamut of colours used for displaying data. One part of this problem is linked to the proportion of the human population that is colour blind and, therefore, highly sensitive to colour palette selection. The aim of this [...]