Articles | Volume 22, issue 3
https://doi.org/10.5194/npg-22-275-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-22-275-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
07 May 2015
Research article |
| 07 May 2015
Oscillations in a simple climate–vegetation model
J. Rombouts
CORRESPONDING AUTHOR
Centre for Complexity Science, University of Warwick, Coventry, UK
Geosciences Department and Environmental Research & Teaching Institute, Ecole Normale Supérieure, Paris, France
Atmospheric & Oceanic Sciences Department and Institute of Geophysics & Planetary Physics, University of California, Los Angeles, CA, USA
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- Impacts of climate change on vegetation pattern: Mathematical modeling and data analysis G. Sun et al. https://doi.org/10.1016/j.plrev.2022.09.005
- Emergence of spatiotemporal patterns beyond Turing-Hopf bifurcation in semi-arid vegetation systems J. Li et al. https://doi.org/10.1016/j.mbs.2026.109695
- Mathematical Modelling of Climate Change and Variability in the Context of Outdoor Ergonomics S. Soldatenko et al. https://doi.org/10.3390/math9222920
- Solving a North-type energy balance model using boundary integral methods A. Samuelsberg & P. Jakobsen https://doi.org/10.5194/npg-32-23-2025
- Noise-induced transitions and shifts in a climate–vegetation feedback model D. Alexandrov et al. https://doi.org/10.1098/rsos.171531
- Comparative Climates of the Trappist-1 Planetary System: Results from a Simple Climate-vegetation Model T. Alberti et al. https://doi.org/10.3847/1538-4357/aa78a2
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- Ocean–atmosphere interactions modulate irrigation's climate impacts N. Krakauer et al. https://doi.org/10.5194/esd-7-863-2016
- Climate bistability of Earth-like exoplanets G. Murante et al. https://doi.org/10.1093/mnras/stz3529
- Nonlinear climate dynamics: From deterministic behaviour to stochastic excitability and chaos D. Alexandrov et al. https://doi.org/10.1016/j.physrep.2020.11.002
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- Analysis of Stochastic Generation and Shifts of Phantom Attractors in a Climate–Vegetation Dynamical Model L. Ryashko et al. https://doi.org/10.3390/math9121329
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- Effect of Vegetation on the Temperatures of TRAPPIST-1 Planets A. Vecchio et al. https://doi.org/10.3847/1538-4357/ab6d75
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26 citations as recorded by crossref.
- On the Breaking of the Milankovitch Cycles Triggered by Temperature Increase: The Stochastic Resonance Response M. Caccamo & S. Magazù https://doi.org/10.3390/cli9040067
- Optimal strategy for removal of greenhouse gas in the atmosphere to avert global climate crisis N. Ahmed & S. Biswas https://doi.org/10.3934/era.2023376
- Theoretical and paleoclimatic evidence for abrupt transitions in the Earth system N. Boers et al. https://doi.org/10.1088/1748-9326/ac8944
- Multilayer coupled mechanism J. Huang https://doi.org/10.1016/j.plrev.2022.11.007
- Impacts of climate change on vegetation pattern: Mathematical modeling and data analysis G. Sun et al. https://doi.org/10.1016/j.plrev.2022.09.005
- Emergence of spatiotemporal patterns beyond Turing-Hopf bifurcation in semi-arid vegetation systems J. Li et al. https://doi.org/10.1016/j.mbs.2026.109695
- Mathematical Modelling of Climate Change and Variability in the Context of Outdoor Ergonomics S. Soldatenko et al. https://doi.org/10.3390/math9222920
- Solving a North-type energy balance model using boundary integral methods A. Samuelsberg & P. Jakobsen https://doi.org/10.5194/npg-32-23-2025
- Noise-induced transitions and shifts in a climate–vegetation feedback model D. Alexandrov et al. https://doi.org/10.1098/rsos.171531
- Comparative Climates of the Trappist-1 Planetary System: Results from a Simple Climate-vegetation Model T. Alberti et al. https://doi.org/10.3847/1538-4357/aa78a2
- A dynamical systems approach to the interplay between tobacco smokers, electronic-cigarette smokers and smoking quitters T. Şengül & E. Yıldız https://doi.org/10.1016/j.chaos.2021.110870
- Ocean–atmosphere interactions modulate irrigation's climate impacts N. Krakauer et al. https://doi.org/10.5194/esd-7-863-2016
- Climate bistability of Earth-like exoplanets G. Murante et al. https://doi.org/10.1093/mnras/stz3529
- Nonlinear climate dynamics: From deterministic behaviour to stochastic excitability and chaos D. Alexandrov et al. https://doi.org/10.1016/j.physrep.2020.11.002
- Stochastic dynamical description of κ and ρ bursting classes of the microquasar GRS 1915+105 T. Alberti et al. https://doi.org/10.1093/mnras/stac2912
- A discrete dynamical system: The poor man’s magnetohydrodynamic (PMMHD) equations T. Alberti et al. https://doi.org/10.1063/1.5109534
- A stable hothouse triggered by a tipping mechanism E. Chavez et al. https://doi.org/10.1098/rsta.2024.0489
- Analysis of Stochastic Generation and Shifts of Phantom Attractors in a Climate–Vegetation Dynamical Model L. Ryashko et al. https://doi.org/10.3390/math9121329
- The physics of climate variability and climate change M. Ghil & V. Lucarini https://doi.org/10.1103/RevModPhys.92.035002
- Modeling for dynamical aspects of smoking abuse with e-cigarette users: Threshold dynamics and optimal control strategies . Abdullah et al. https://doi.org/10.1016/j.compbiomed.2026.111457
- On the stability of a climate model for an Earth-like planet with land-ocean coverage T. Alberti et al. https://doi.org/10.1088/2399-6528/aacd8d
- Anomalous climate dynamics induced by multiplicative and additive noises D. Alexandrov et al. https://doi.org/10.1103/PhysRevE.102.012217
- Description and Demonstration of the Coupled Community Earth System Model v2 – Community Ice Sheet Model v2 (CESM2‐CISM2) L. Muntjewerf et al. https://doi.org/10.1029/2020MS002356
- On a global climate model with non-monotone multivalued coalbedo A. Hidalgo & L. Tello https://doi.org/10.3934/dcdss.2022093
- Effect of Vegetation on the Temperatures of TRAPPIST-1 Planets A. Vecchio et al. https://doi.org/10.3847/1538-4357/ab6d75
- The wonders of colored noise in a climate model D. Alexandrov et al. https://doi.org/10.1063/5.0275848
Saved (final revised paper)
Latest update: 27 Sep 2026
Short summary
Our conceptual model describes global temperature and vegetation extent. We use elements from Daisyworld and classical energy balance models and add an ocean with sea ice. The model exhibits oscillatory behavior within a plausible range of parameter values.
Its periodic solutions have sawtooth behavior that is characteristic of relaxation oscillations, as well as suggestive of Quaternary glaciation cycles. The model is one of the simplest of its kind to produce such oscillatory behavior.
Our conceptual model describes global temperature and vegetation extent. We use elements from...
