ReviewJournal of the Royal Society, Interface2008
Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models.
Review in Journal of the Royal Society, Interface, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
19 citing papers in PubMed.
- Article
- Nonreciprocal field theory for decision-making in multi-agent control systems.Nature communications · 2025Article
- Evidence for a survival-driven traveling wave in a keystone boreal predator population.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Hemodynamic cortical ripples through cyclicity analysis.Network neuroscience (Cambridge, Mass.) · 2024Article
- Sars-Cov2 world pandemic recurrent waves controlled by variants evolution and vaccination campaign.Scientific reports · 2022Article
- From pattern to process? Dual travelling waves, with contrasting propagation speeds, best describe a self-organised spatio-temporal pattern in population growth of a cyclic rodent.Ecology letters · 2022Article
- A Comparison of the "Reduced Losses" and "Increased Production" Models for Mussel Bed Dynamics.Bulletin of mathematical biology · 2021Article
- Using Probabilistic Approach to Evaluate the Total Population Density on Coarse Grids.Entropy (Basel, Switzerland) · 2020Article
- Article
- Article
- Species survival emerge from rare events of individual migration.Scientific reports · 2015Article
- Absolute stability and dynamical stabilisation in predator-prey systems.Journal of mathematical biology · 2014Article
- Towards the rational design of synthetic cells with prescribed population dynamics.Journal of the Royal Society, Interface · 2012Article
- Challenges of ecological monitoring: estimating population abundance from sparse trap counts.Journal of the Royal Society, Interface · 2012Article
- Article
- Cyclic competition of mobile species on continuous space: pattern formation and coexistence.Physical review. E, Statistical, nonlinear, and soft matter physics · 2010Article
- Spatially mismatched trophic dynamics: cyclically outbreaking geometrids and their larval parasitoids.Biology letters · 2010Article
- Phase-dependent outbreak dynamics of geometrid moth linked to host plant phenology.Proceedings. Biological sciences · 2009Article
- Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion.Proceedings of the National Academy of Sciences of the United States of America · 2009Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Periodic travelling waves have been reported in a number of recent spatio-temporal field studies of populations undergoing multi-year cycles. Mathematical modelling has a major role to play in understanding these results and informing future empirical studies. We review the relevant field data and summarize the statistical methods used to detect periodic waves. We then discuss the mathematical theory of periodic travelling waves in oscillatory reaction-diffusion equations. We describe the notion of a wave family, and various ecologically relevant scenarios in which periodic travelling waves occur. We also discuss wave stability, including recent computational developments. Although we focus on oscillatory reaction-diffusion equations, a brief discussion of other types of model in which periodic travelling waves have been demonstrated is also included. We end by proposing 10 research challenges in this area, five mathematical and five empirical.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.