Evidence map›Paper›PMID 38010440›Full record

ArticleBulletin of mathematical biology2023

Pattern Formation in Mesic Savannas.

Denis Patterson, Simon Levin, Ann Carla Staver, Jonathan Touboul

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Bulletin of mathematical biology, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

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.

2 · The registry

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.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Article
  2. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Denis PattersonHigh Meadows Environmental Institute, Princeton University, Princeton, NJ, 08544, USA. denis.d.patterson@durham.ac.uk.ORCID 0000-0002-4509-7294
Simon LevinHigh Meadows Environmental Institute, Princeton University, Princeton, NJ, 08544, USA.
Ann Carla StaverDepartment of Ecology and Evolutionary Biology, Yale University, New Haven, CT, 06520, USA.
Jonathan TouboulDepartment of Mathematics, Brandeis University, Waltham, MA, 02453, USA.

Funding

Division of Mathematical Sciences NSF DMS-1615531Division of Mathematical Sciences NSF DMS-1951358Division of Mathematical Sciences NSF DMS- 1951369
6 · The paper itself

Abstract

We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study necessary conditions for pattern-forming bifurcations. Homogeneous solutions dominate the dynamics of the standard forest-savanna model, regardless of the length scales of the various spatial processes considered. However, several different pattern-forming scenarios are possible upon including spatial resource limitation, such as competition for water, soil nutrients, or herbivory effects. Using numerical simulations and continuation, we study the nature of the resulting patterns as a function of system parameters and length scales, uncovering subcritical pattern-forming bifurcations and observing significant regions of multistability for realistic parameter regimes. Finally, we discuss our results in the context of extant savanna-forest modeling efforts and highlight ongoing challenges in building a unifying mathematical model for savannas across different rainfall levels.

Indexed as

EcosystemGrasslandMathematical ConceptsModels, BiologicalTreesIntegro-differential equationsPattern formationSavannaSpatial modelingVegetation dynamics

Identifiers

PMID38010440
PMCPMC10682166

What OpenQuestion holds

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LicenceCC BY
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Registered trials

None linked

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.