Articles | Volume 10, issue 9
https://doi.org/10.5194/gmd-10-3519-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-10-3519-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Reverse engineering model structures for soil and ecosystem respiration: the potential of gene expression programming
Max Planck Institute for Biogeochemistry, Department Biogeochemical Integration, Hans-Knoell-Str. 10, 07745 Jena, Germany
Peter Dittrich
Bio Systems Analysis Group, Institute of Computer Science, Jena Centre for Bioinformatics and Friedrich Schiller University, 07745 Jena, Germany
Michael Stifel Center Jena for Data-Driven and Simulation Science, 07745 Jena, Germany
Nuno Carvalhais
Max Planck Institute for Biogeochemistry, Department Biogeochemical Integration, Hans-Knoell-Str. 10, 07745 Jena, Germany
CENSE, Departamento de Ciéncias e Engenharia do Ambiente, Faculdade de Ciéncias e Tecnologia, Universidade NOVA de Lisboa, Caparica, Portugal
Martin Jung
Max Planck Institute for Biogeochemistry, Department Biogeochemical Integration, Hans-Knoell-Str. 10, 07745 Jena, Germany
Andreas Heinemeyer
Department of Environment, Stockholm Environment Institute, University of York, York, YO105NG, UK
Mirco Migliavacca
Max Planck Institute for Biogeochemistry, Department Biogeochemical Integration, Hans-Knoell-Str. 10, 07745 Jena, Germany
James I. L. Morison
Forest Research, Alice Holt Lodge, Farnham, Surrey, GU10 4LH, UK
Sebastian Sippel
Max Planck Institute for Biogeochemistry, Department Biogeochemical Integration, Hans-Knoell-Str. 10, 07745 Jena, Germany
Jens-Arne Subke
Biological and Environmental Sciences, School of Natural Sciences, University of Stirling, Stirling, UK
Matthew Wilkinson
Forest Research, Alice Holt Lodge, Farnham, Surrey, GU10 4LH, UK
Miguel D. Mahecha
CORRESPONDING AUTHOR
Max Planck Institute for Biogeochemistry, Department Biogeochemical Integration, Hans-Knoell-Str. 10, 07745 Jena, Germany
Michael Stifel Center Jena for Data-Driven and Simulation Science, 07745 Jena, Germany
German Centre for Integrative Biodiversity Research (iDiv), Deutscher Platz 5e, 04103 Leipzig, Germany
Related authors
No articles found.
Tobias Braun, Sara M. Vallejo-Bernal, Norbert Marwan, Juergen Kurths, Johannes Quaas, Albert Díaz-Guilera, Luis Gimeno, and Miguel D. Mahecha
Earth Syst. Dynam., 17, 695–716, https://doi.org/10.5194/esd-17-695-2026, https://doi.org/10.5194/esd-17-695-2026, 2026
Short summary
Short summary
Atmospheric rivers (ARs) move vast amounts of water through the atmosphere and often cause weather extremes, yet they are usually studied as regional events. Using 84 years of mapped AR trajectories, we reveal the global "roadmap" of ARs, a transport network of high-activity hubs, sparse atmospheric highways & hierarchical basins. Our approach shows how water vapor is systematically channelled through an atmospheric transport network, offering new ways to study changes in the global water cycle.
Maximilian Söchting and Miguel D. Mahecha
Earth Syst. Dynam., 17, 687–693, https://doi.org/10.5194/esd-17-687-2026, https://doi.org/10.5194/esd-17-687-2026, 2026
Short summary
Short summary
As the amount of data collected by satellites and generated by climate models to monitor Earth's climate and environment continues to expand in size and complexity, it becomes increasingly difficult for non-experts to explore these type of data sets. We present an interactive physical exhibit in the shape of a cube that enables anyone to explore these large environmental data sets across space, time, and variables, independent of their technical knowledge, through direct physical interaction.
Zavud Baghirov, Markus Reichstein, Basil Kraft, Bernhard Ahrens, Marco Körner, and Martin Jung
Geosci. Model Dev., 19, 4467–4496, https://doi.org/10.5194/gmd-19-4467-2026, https://doi.org/10.5194/gmd-19-4467-2026, 2026
Short summary
Short summary
We introduce a new global model that links how water and carbon move through land ecosystems. By combining process knowledge with artificial intelligence that learns from observations, we model daily changes in vegetation, water and carbon cycle processes. This model outperforms both purely data-driven and traditional process models, especially in dry and tropical regions. This advance could improve current understanding of water–carbon cycle relationships.
Tea Thum, Javier Pacheco-Labrador, Mika Aurela, Alan Barr, Marika Honkanen, Bruce Johnson, Hannakaisa Lindqvist, Troy Magney, Mirco Migliavacca, Zoe Amie Pierrat, Tristan Quaife, Jochen Stutz, and Sönke Zaehle
Biogeosciences, 23, 3541–3565, https://doi.org/10.5194/bg-23-3541-2026, https://doi.org/10.5194/bg-23-3541-2026, 2026
Short summary
Short summary
Solar-induced chlorophyll fluorescence (SIF) is an optical signal emitted by plants, connected to the biochemical status of the plants. Therefore it helps to unveil what happens inside plants and since it can be observed with remote sensing, it provides a global view of plant activity. We included SIF module in a terrestrial biosphere model and examined how to best describe movement of the SIF signal in the forest. Our work will help to model SIF in boreal coniferous forests.
Marco Girardello, Gonzalo Oton, Matteo Piccardo, Mark Pickering, Agata Elia, Guido Ceccherini, Mariano Garcia, Mirco Migliavacca, and Alessandro Cescatti
Earth Syst. Sci. Data, 18, 2667–2687, https://doi.org/10.5194/essd-18-2667-2026, https://doi.org/10.5194/essd-18-2667-2026, 2026
Short summary
Short summary
Our research addresses the challenge of assessing forest structural diversity over large spatial scales, which is essential for understanding links between canopy structure, biodiversity, and ecosystem functioning. The advent of spaceborne Light Detection and Ranging (LiDAR) sensors such as the Global Ecosystem Dynamics Investigation (GEDI) has revolutionised the ability to measure forest structure. We provide a spatially explicit dataset of eight forest structural diversity metrics.
Olivia Hau, Matthias Forkel, Wolfgang Buermann, Johanna Kranz, Mirco Migliavacca, Ulrich Weber, and Alexander Josef Winkler
EGUsphere, https://doi.org/10.5194/egusphere-2026-910, https://doi.org/10.5194/egusphere-2026-910, 2026
This preprint is open for discussion and under review for Biogeosciences (BG).
Short summary
Short summary
Shifts in spring and autumn growth due to climate warming change how plants reflect sunlight and release heat and moisture into the air, modulating surface warming. The strength of these effects and their regional variability remain poorly understood. Using satellite and climate data, we show that earlier spring growth increases moisture release, especially in forests, while autumn changes are smaller and less consistent. Impacts on land-atmosphere interactions vary by ecosystem and data source.
Samuel Upton, Markus Reichstein, Wouter Peters, Santiago Botía, Jacob A. Nelson, Sophia Walther, Martin Jung, Fabian Gans, László Haszpra, and Ana Bastos
Atmos. Chem. Phys., 26, 2561–2595, https://doi.org/10.5194/acp-26-2561-2026, https://doi.org/10.5194/acp-26-2561-2026, 2026
Short summary
Short summary
We create a hybrid ecosystem-level carbon flux model using both eddy-covariance observations and observations of the atmospheric mole fraction of CO2 at three tall-tower observatories. Our study uses an atmospheric transport model (STILT) to connect the atmospheric signal to the ecosystem-level model. We show that this inclusion of atmospheric information meaningfully improves the model's representation of the interannual variability of the global net flux of CO2.
Min Feng, Joseph O. Sexton, Panshi Wang, Paul M. Montesano, Leonardo Calle, Nuno Carvalhais, Benjamin Poulter, Matthew J. Macander, Michael A. Wulder, Margaret Wooten, William Wagner, Akiko Elders, Saurabh Channan, and Christopher S. R. Neigh
Biogeosciences, 23, 1089–1101, https://doi.org/10.5194/bg-23-1089-2026, https://doi.org/10.5194/bg-23-1089-2026, 2026
Short summary
Short summary
Analysis of 36 years of satellite tree cover data provide the first comprehensive confirmation of the northward advance of the boreal forest. Boreal tree cover expanded by 0.84 million km² (12%) from 1985 to 2020 and shifted northward by 0.43°. Gains outpaced losses across most latitudes, confirming a biome-wide poleward shift. Young forests now comprise 15% of the area of the world’s largest forest biome, storing 1–6 Pg C and potentially sequestering an additional 2–4 Pg C as they mature.
Daju Wang, Ruowen Yang, Lei Cai, Pierre Gentine, César Terrer, Shuli Niu, Mirco Migliavacca, Wenping Yuan, Ryunosuke Tateno, Junlan Xiao, Josep Peñuelas, Caixian Tang, Yongshuo H. Fu, and Weiyu Shi
EGUsphere, https://doi.org/10.5194/egusphere-2026-296, https://doi.org/10.5194/egusphere-2026-296, 2026
This preprint is open for discussion and under review for Biogeosciences (BG).
Short summary
Short summary
Soil respiration is a major CO2 source, yet its response to vary nitrogen addition levels remains unclear. Using global data from 226 sites, we found moderate N addition has negligible or slightly positive effects, whereas high N addition consistently suppresses total and microbial respiration. These findings were incorporated into the CLM5 model, improving predictions of soil respiration and carbon storage. Our work elucidates how N deposition alters soil carbon processes and climate feedbacks.
Na Li, Sebastian Sippel, Nora Linscheid, Miguel D. Mahecha, Markus Reichstein, and Ana Bastos
Biogeosciences, 23, 767–792, https://doi.org/10.5194/bg-23-767-2026, https://doi.org/10.5194/bg-23-767-2026, 2026
Short summary
Short summary
We study when anthropogenic signal becomes detectable in the global land carbon sink, which has risen since the 1950s due to CO₂ fertilization and mid- to high-latitude warming. The signal emerges earlier at the global than at regional scales. Future scenarios (2016–2100) take longer to detect than the historical period (1851–2014) because the signal is weaker relative to larger natural variability. Removing circulation-induced variability with dynamical adjustment shortens the detection time.
Peter Pfleiderer, Anna Merrifield, István Dunkl, Homer Durand, Enora Cariou, Julien Cattiaux, Gustau Camps-Valls, and Sebastian Sippel
Weather Clim. Dynam., 7, 89–108, https://doi.org/10.5194/wcd-7-89-2026, https://doi.org/10.5194/wcd-7-89-2026, 2026
Short summary
Short summary
Due to changes in atmospheric circulation some regions are warming quicker than others. Statistical methods are used to estimate how much of the local summer temperature changes are due to circulation changes. We evaluate these methods by comparing their estimates to special simulations representing only temperature changes related to circulation changes. By applying the methods to observations of 1979–2023 we find that half of the warming over parts of Europe is related to circulation changes.
Mélanie Weynants, Chaonan Ji, Nora Linscheid, Ulrich Weber, Miguel D. Mahecha, and Fabian Gans
Earth Syst. Sci. Data, 17, 6621–6645, https://doi.org/10.5194/essd-17-6621-2025, https://doi.org/10.5194/essd-17-6621-2025, 2025
Short summary
Short summary
The impacts of climate extremes such as heatwaves and droughts can be made worse when they happen at the same time. Dheed is a global database of dry and hot compound extreme events from 1950 to 2023. It can be combined with other data to study the impacts of those events on terrestrial ecosystems, specific species or human societies. Dheed's analysis confirms that extremely dry and hot days have become more common on all continents in recent decades, especially in Europe and Africa.
Siyuan Wang, Hui Yang, Sujan Koirala, Maurizio Santoro, Ulrich Weber, Claire Robin, Felix Cremer, Matthias Forkel, Markus Reichstein, and Nuno Carvalhais
Earth Syst. Sci. Data Discuss., https://doi.org/10.5194/essd-2025-670, https://doi.org/10.5194/essd-2025-670, 2025
Revised manuscript under review for ESSD
Short summary
Short summary
Forest disturbances are difficult to predict in models because they occur randomly. We discovered that the long-term rules of disturbance known as "regime" leave a unique footprint in a forest's spatial biomass patterns. We trained a model on millions of computer simulations to learn this link. By applying this model to detailed satellite biomass, we could read these patterns to infer the disturbance regime globally, helping make climate projections more accurate.
Javier Pacheco-Labrador, Ulisse Gomarasca, Daniel E. Pabon-Moreno, Wantong Li, Mirco Migliavacca, Martin Jung, and Gregory Duveiller
Geosci. Model Dev., 18, 8401–8422, https://doi.org/10.5194/gmd-18-8401-2025, https://doi.org/10.5194/gmd-18-8401-2025, 2025
Short summary
Short summary
Measuring biodiversity is necessary to assess its loss, evolution, and role in ecosystem functions. Satellites image the whole terrestrial surface and could cost-efficiently map plant diversity globally. However, developing the necessary methods lacks consistent and sufficient field measurements. Thus, we propose using a simulation tool that generates virtual ecosystems, with species properties and functions varying in response to meteorology and the respective remote sensing imagery.
Basil Kraft, Jacob A. Nelson, Sophia Walther, Fabian Gans, Ulrich Weber, Gregory Duveiller, Markus Reichstein, Weijie Zhang, Marc Rußwurm, Devis Tuia, Marco Körner, Zayd Hamdi, and Martin Jung
Biogeosciences, 22, 3965–3987, https://doi.org/10.5194/bg-22-3965-2025, https://doi.org/10.5194/bg-22-3965-2025, 2025
Short summary
Short summary
This study evaluates machine learning approaches for upscaling evapotranspiration from the site to the global scale. Sequential models capture temporal dynamics better, especially with precipitation data, but all models show biases in data-scarce regions. Improved upscaling requires richer training data, informed covariate selection, and physical constraints to enhance robustness and reduce extrapolation errors.
Friedrich J. Bohn, Ana Bastos, Romina Martin, Anja Rammig, Niak Sian Koh, Giles B. Sioen, Bram Buscher, Louise Carver, Fabrice DeClerck, Moritz Drupp, Robert Fletcher, Matthew Forrest, Alexandros Gasparatos, Alex Godoy-Faúndez, Gregor Hagedorn, Martin C. Hänsel, Jessica Hetzer, Thomas Hickler, Cornelia B. Krug, Stasja Koot, Xiuzhen Li, Amy Luers, Shelby Matevich, H. Damon Matthews, Ina C. Meier, Mirco Migliavacca, Awaz Mohamed, Sungmin O, David Obura, Ben Orlove, Rene Orth, Laura Pereira, Markus Reichstein, Lerato Thakholi, Peter H. Verburg, and Yuki Yoshida
Biogeosciences, 22, 2425–2460, https://doi.org/10.5194/bg-22-2425-2025, https://doi.org/10.5194/bg-22-2425-2025, 2025
Short summary
Short summary
An interdisciplinary collaboration of 36 international researchers from 35 institutions highlights recent findings in biosphere research. Within eight themes, they discuss issues arising from climate change and other anthropogenic stressors and highlight the co-benefits of nature-based solutions and ecosystem services. Based on an analysis of these eight topics, we have synthesized four overarching insights.
Zavud Baghirov, Martin Jung, Markus Reichstein, Marco Körner, and Basil Kraft
Geosci. Model Dev., 18, 2921–2943, https://doi.org/10.5194/gmd-18-2921-2025, https://doi.org/10.5194/gmd-18-2921-2025, 2025
Short summary
Short summary
We use an innovative approach to studying the Earth's water cycle by integrating advanced machine learning techniques with a traditional water cycle model. Our model is designed to learn from observational data, with a particular emphasis on understanding the influence of vegetation on water movement. By closely aligning with real-world observations, our model offers new possibilities for enhancing our understanding of the water cycle and its interactions with vegetation.
Wolfgang Knorr, Matthew Williams, Tea Thum, Thomas Kaminski, Michael Voßbeck, Marko Scholze, Tristan Quaife, T. Luke Smallman, Susan C. Steele-Dunne, Mariette Vreugdenhil, Tim Green, Sönke Zaehle, Mika Aurela, Alexandre Bouvet, Emanuel Bueechi, Wouter Dorigo, Tarek S. El-Madany, Mirco Migliavacca, Marika Honkanen, Yann H. Kerr, Anna Kontu, Juha Lemmetyinen, Hannakaisa Lindqvist, Arnaud Mialon, Tuuli Miinalainen, Gaétan Pique, Amanda Ojasalo, Shaun Quegan, Peter J. Rayner, Pablo Reyes-Muñoz, Nemesio Rodríguez-Fernández, Mike Schwank, Jochem Verrelst, Songyan Zhu, Dirk Schüttemeyer, and Matthias Drusch
Geosci. Model Dev., 18, 2137–2159, https://doi.org/10.5194/gmd-18-2137-2025, https://doi.org/10.5194/gmd-18-2137-2025, 2025
Short summary
Short summary
When it comes to climate change, the land surface is where the vast majority of impacts happen. The task of monitoring those impacts across the globe is formidable and must necessarily rely on satellites – at a significant cost: the measurements are only indirect and require comprehensive physical understanding. We have created a comprehensive modelling system that we offer to the research community to explore how satellite data can be better exploited to help us capture the changes that happen on our lands.
Mana Gharun, Ankit Shekhar, Lukas Hörtnagl, Luana Krebs, Nicola Arriga, Mirco Migliavacca, Marilyn Roland, Bert Gielen, Leonardo Montagnani, Enrico Tomelleri, Ladislav Šigut, Matthias Peichl, Peng Zhao, Marius Schmidt, Thomas Grünwald, Mika Korkiakoski, Annalea Lohila, and Nina Buchmann
Biogeosciences, 22, 1393–1411, https://doi.org/10.5194/bg-22-1393-2025, https://doi.org/10.5194/bg-22-1393-2025, 2025
Short summary
Short summary
The effect of winter warming on forest CO2 fluxes has rarely been investigated. We tested the effect of the warm winter of 2020 on the forest CO2 fluxes across 14 sites in Europe and found that the net ecosystem productivity (NEP) across most sites declined during the warm winter due to increased respiration fluxes.
Eva-Marie Metz, Sanam Noreen Vardag, Sourish Basu, Martin Jung, and André Butz
Biogeosciences, 22, 555–584, https://doi.org/10.5194/bg-22-555-2025, https://doi.org/10.5194/bg-22-555-2025, 2025
Short summary
Short summary
We estimate CO2 fluxes in semiarid southern Africa from 2009 to 2018 based on satellite CO2 measurements and atmospheric inverse modeling. By selecting process-based vegetation models, which agree with the satellite CO2 fluxes, we find that soil respiration mainly drives the seasonality, whereas photosynthesis substantially influences the interannual variability. Our study emphasizes the need for better representation of the response of semiarid ecosystems to soil rewetting in vegetation models.
Jacob A. Nelson, Sophia Walther, Fabian Gans, Basil Kraft, Ulrich Weber, Kimberly Novick, Nina Buchmann, Mirco Migliavacca, Georg Wohlfahrt, Ladislav Šigut, Andreas Ibrom, Dario Papale, Mathias Göckede, Gregory Duveiller, Alexander Knohl, Lukas Hörtnagl, Russell L. Scott, Jiří Dušek, Weijie Zhang, Zayd Mahmoud Hamdi, Markus Reichstein, Sergio Aranda-Barranco, Jonas Ardö, Maarten Op de Beeck, Dave Billesbach, David Bowling, Rosvel Bracho, Christian Brümmer, Gustau Camps-Valls, Shiping Chen, Jamie Rose Cleverly, Ankur Desai, Gang Dong, Tarek S. El-Madany, Eugenie Susanne Euskirchen, Iris Feigenwinter, Marta Galvagno, Giacomo A. Gerosa, Bert Gielen, Ignacio Goded, Sarah Goslee, Christopher Michael Gough, Bernard Heinesch, Kazuhito Ichii, Marcin Antoni Jackowicz-Korczynski, Anne Klosterhalfen, Sara Knox, Hideki Kobayashi, Kukka-Maaria Kohonen, Mika Korkiakoski, Ivan Mammarella, Mana Gharun, Riccardo Marzuoli, Roser Matamala, Stefan Metzger, Leonardo Montagnani, Giacomo Nicolini, Thomas O'Halloran, Jean-Marc Ourcival, Matthias Peichl, Elise Pendall, Borja Ruiz Reverter, Marilyn Roland, Simone Sabbatini, Torsten Sachs, Marius Schmidt, Christopher R. Schwalm, Ankit Shekhar, Richard Silberstein, Maria Lucia Silveira, Donatella Spano, Torbern Tagesson, Gianluca Tramontana, Carlo Trotta, Fabio Turco, Timo Vesala, Caroline Vincke, Domenico Vitale, Enrique R. Vivoni, Yi Wang, William Woodgate, Enrico A. Yepez, Junhui Zhang, Donatella Zona, and Martin Jung
Biogeosciences, 21, 5079–5115, https://doi.org/10.5194/bg-21-5079-2024, https://doi.org/10.5194/bg-21-5079-2024, 2024
Short summary
Short summary
The movement of water, carbon, and energy from the Earth's surface to the atmosphere, or flux, is an important process to understand because it impacts our lives. Here, we outline a method called FLUXCOM-X to estimate global water and CO2 fluxes based on direct measurements from sites around the world. We go on to demonstrate how these new estimates of net CO2 uptake/loss, gross CO2 uptake, total water evaporation, and transpiration from plants compare to previous and independent estimates.
Francesco Martinuzzi, Miguel D. Mahecha, Gustau Camps-Valls, David Montero, Tristan Williams, and Karin Mora
Nonlin. Processes Geophys., 31, 535–557, https://doi.org/10.5194/npg-31-535-2024, https://doi.org/10.5194/npg-31-535-2024, 2024
Short summary
Short summary
We investigated how machine learning can forecast extreme vegetation responses to weather. Examining four models, no single one stood out as the best, though "echo state networks" showed minor advantages. Our results indicate that while these tools are able to generally model vegetation states, they face challenges under extreme conditions. This underlines the potential of artificial intelligence in ecosystem modeling, also pinpointing areas that need further research.
Anca Anghelea, Ewelina Dobrowolska, Gunnar Brandt, Martin Reinhardt, Miguel Mahecha, Tejas Morbagal Harish, and Stephan Meissl
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-4-2024, 13–18, https://doi.org/10.5194/isprs-archives-XLVIII-4-2024-13-2024, https://doi.org/10.5194/isprs-archives-XLVIII-4-2024-13-2024, 2024
Guohua Liu, Mirco Migliavacca, Christian Reimers, Basil Kraft, Markus Reichstein, Andrew D. Richardson, Lisa Wingate, Nicolas Delpierre, Hui Yang, and Alexander J. Winkler
Geosci. Model Dev., 17, 6683–6701, https://doi.org/10.5194/gmd-17-6683-2024, https://doi.org/10.5194/gmd-17-6683-2024, 2024
Short summary
Short summary
Our study employs long short-term memory (LSTM) networks to model canopy greenness and phenology, integrating meteorological memory effects. The LSTM model outperforms traditional methods, enhancing accuracy in predicting greenness dynamics and phenological transitions across plant functional types. Highlighting the importance of multi-variate meteorological memory effects, our research pioneers unlock the secrets of vegetation phenology responses to climate change with deep learning techniques.
Miguel D. Mahecha, Guido Kraemer, and Fabio Crameri
Earth Syst. Dynam., 15, 1153–1159, https://doi.org/10.5194/esd-15-1153-2024, https://doi.org/10.5194/esd-15-1153-2024, 2024
Short summary
Short summary
Our paper examines the visual representation of the planetary boundary concept, which helps convey Earth's capacity to sustain human life. We identify three issues: exaggerated impact sizes, confusing color patterns, and inaccessibility for colour-vision deficiency. These flaws can lead to overstating risks. We suggest improving these visual elements for more accurate and accessible information for decision-makers.
Sebastian Sippel, Clair Barnes, Camille Cadiou, Erich Fischer, Sarah Kew, Marlene Kretschmer, Sjoukje Philip, Theodore G. Shepherd, Jitendra Singh, Robert Vautard, and Pascal Yiou
Weather Clim. Dynam., 5, 943–957, https://doi.org/10.5194/wcd-5-943-2024, https://doi.org/10.5194/wcd-5-943-2024, 2024
Short summary
Short summary
Winter temperatures in central Europe have increased. But cold winters can still cause problems for energy systems, infrastructure, or human health. Here we tested whether a record-cold winter, such as the one observed in 1963 over central Europe, could still occur despite climate change. The answer is yes: it is possible, but it is very unlikely. Our results rely on climate model simulations and statistical rare event analysis. In conclusion, society must be prepared for such cold winters.
Francesco Martinuzzi, Miguel D. Mahecha, David Montero, Lazaro Alonso, and Karin Mora
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-4-W12-2024, 89–95, https://doi.org/10.5194/isprs-archives-XLVIII-4-W12-2024-89-2024, https://doi.org/10.5194/isprs-archives-XLVIII-4-W12-2024-89-2024, 2024
David Montero, Miguel D. Mahecha, César Aybar, Clemens Mosig, and Sebastian Wieneke
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-4-W12-2024, 105–112, https://doi.org/10.5194/isprs-archives-XLVIII-4-W12-2024-105-2024, https://doi.org/10.5194/isprs-archives-XLVIII-4-W12-2024-105-2024, 2024
Jan Sodoge, Christian Kuhlicke, Miguel D. Mahecha, and Mariana Madruga de Brito
Nat. Hazards Earth Syst. Sci., 24, 1757–1777, https://doi.org/10.5194/nhess-24-1757-2024, https://doi.org/10.5194/nhess-24-1757-2024, 2024
Short summary
Short summary
We delved into the socio-economic impacts of the 2018–2022 drought in Germany. We derived a dataset covering the impacts of droughts in Germany between 2000 and 2022 on sectors such as agriculture and forestry based on newspaper articles. Notably, our study illustrated that the longer drought had a wider reach and more varied effects. We show that dealing with longer droughts requires different plans compared to shorter ones, and it is crucial to be ready for the challenges they bring.
Sinikka J. Paulus, Rene Orth, Sung-Ching Lee, Anke Hildebrandt, Martin Jung, Jacob A. Nelson, Tarek Sebastian El-Madany, Arnaud Carrara, Gerardo Moreno, Matthias Mauder, Jannis Groh, Alexander Graf, Markus Reichstein, and Mirco Migliavacca
Biogeosciences, 21, 2051–2085, https://doi.org/10.5194/bg-21-2051-2024, https://doi.org/10.5194/bg-21-2051-2024, 2024
Short summary
Short summary
Porous materials are known to reversibly trap water from the air, even at low humidity. However, this behavior is poorly understood for soils. In this analysis, we test whether eddy covariance is able to measure the so-called adsorption of atmospheric water vapor by soils. We find that this flux occurs frequently during dry nights in a Mediterranean ecosystem, while EC detects downwardly directed vapor fluxes. These results can help to map moisture uptake globally.
Martin Jung, Jacob Nelson, Mirco Migliavacca, Tarek El-Madany, Dario Papale, Markus Reichstein, Sophia Walther, and Thomas Wutzler
Biogeosciences, 21, 1827–1846, https://doi.org/10.5194/bg-21-1827-2024, https://doi.org/10.5194/bg-21-1827-2024, 2024
Short summary
Short summary
We present a methodology to detect inconsistencies in perhaps the most important data source for measurements of ecosystem–atmosphere carbon, water, and energy fluxes. We expect that the derived consistency flags will be relevant for data users and will help in improving our understanding of and our ability to model ecosystem–climate interactions.
Hui Yang, Krzysztof Stereńczak, Zbigniew Karaszewski, and Nuno Carvalhais
EGUsphere, https://doi.org/10.5194/egusphere-2023-2691, https://doi.org/10.5194/egusphere-2023-2691, 2023
Preprint archived
Short summary
Short summary
Wood density is crucial for ecological and carbon stock assessment, yet its labor-intensive analysis limits studies across species and spaces. Our study, based on 48,000 samples from Central Europe, reveals that, even without species information, 91% of inter-tree variations can be predicted by vegetation indexes, topography, and soil texture. Importantly, we highlight neglected intra-tree variation, showing substantial variations vertically along the height and radially from the center to bark.
Gemma Purser, Mathew R. Heal, Edward J. Carnell, Stephen Bathgate, Julia Drewer, James I. L. Morison, and Massimo Vieno
Atmos. Chem. Phys., 23, 13713–13733, https://doi.org/10.5194/acp-23-13713-2023, https://doi.org/10.5194/acp-23-13713-2023, 2023
Short summary
Short summary
Forest expansion is a ″net-zero“ pathway, but change in land cover alters air quality in many ways. This study combines tree planting suitability data with UK measured emissions of biogenic volatile organic compounds to simulate spatial and temporal changes in atmospheric composition for planting scenarios of four species. Decreases in fine particulate matter are relatively larger than increases in ozone, which may indicate a net benefit of tree planting on human health aspects of air quality.
Richard Nair, Yunpeng Luo, Tarek El-Madany, Victor Rolo, Javier Pacheco-Labrador, Silvia Caldararu, Kendalynn A. Morris, Marion Schrumpf, Arnaud Carrara, Gerardo Moreno, Markus Reichstein, and Mirco Migliavacca
EGUsphere, https://doi.org/10.5194/egusphere-2023-2434, https://doi.org/10.5194/egusphere-2023-2434, 2023
Preprint archived
Short summary
Short summary
We studied a Mediterranean ecosystem to understand carbon uptake efficiency and its controls. These ecosystems face potential nitrogen-phosphorus imbalances due to pollution. Analysing six years of carbon data, we assessed controls at different timeframes. This is crucial for predicting such vulnerable regions. Our findings revealed N limitation on C uptake, not N:P imbalance, and strong influence of water availability. whether drought or wetness promoted net C uptake depended on timescale.
A. Elia, M. Pickering, M. Girardello, G. Oton, G. Ceccherini, S. Capobianco, M. Piccardo, G. Forzieri, M. Migliavacca, and A. Cescatti
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-4-W7-2023, 41–46, https://doi.org/10.5194/isprs-archives-XLVIII-4-W7-2023-41-2023, https://doi.org/10.5194/isprs-archives-XLVIII-4-W7-2023-41-2023, 2023
Hoontaek Lee, Martin Jung, Nuno Carvalhais, Tina Trautmann, Basil Kraft, Markus Reichstein, Matthias Forkel, and Sujan Koirala
Hydrol. Earth Syst. Sci., 27, 1531–1563, https://doi.org/10.5194/hess-27-1531-2023, https://doi.org/10.5194/hess-27-1531-2023, 2023
Short summary
Short summary
We spatially attribute the variance in global terrestrial water storage (TWS) interannual variability (IAV) and its modeling error with two data-driven hydrological models. We find error hotspot regions that show a disproportionately large significance in the global mismatch and the association of the error regions with a smaller-scale lateral convergence of water. Our findings imply that TWS IAV modeling can be efficiently improved by focusing on model representations for the error hotspots.
Iris Elisabeth de Vries, Sebastian Sippel, Angeline Greene Pendergrass, and Reto Knutti
Earth Syst. Dynam., 14, 81–100, https://doi.org/10.5194/esd-14-81-2023, https://doi.org/10.5194/esd-14-81-2023, 2023
Short summary
Short summary
Precipitation change is an important consequence of climate change, but it is hard to detect and quantify. Our intuitive method yields robust and interpretable detection of forced precipitation change in three observational datasets for global mean and extreme precipitation, but the different observational datasets show different magnitudes of forced change. Assessment and reduction of uncertainties surrounding forced precipitation change are important for future projections and adaptation.
Sinikka Jasmin Paulus, Tarek Sebastian El-Madany, René Orth, Anke Hildebrandt, Thomas Wutzler, Arnaud Carrara, Gerardo Moreno, Oscar Perez-Priego, Olaf Kolle, Markus Reichstein, and Mirco Migliavacca
Hydrol. Earth Syst. Sci., 26, 6263–6287, https://doi.org/10.5194/hess-26-6263-2022, https://doi.org/10.5194/hess-26-6263-2022, 2022
Short summary
Short summary
In this study, we analyze small inputs of water to ecosystems such as fog, dew, and adsorption of vapor. To measure them, we use a scaling system and later test our attribution of different water fluxes to weight changes. We found that they occur frequently during 1 year in a dry summer ecosystem. In each season, a different flux seems dominant, but they all mainly occur during the night. Therefore, they could be important for the biosphere because rain is unevenly distributed over the year.
Na Li, Sebastian Sippel, Alexander J. Winkler, Miguel D. Mahecha, Markus Reichstein, and Ana Bastos
Earth Syst. Dynam., 13, 1505–1533, https://doi.org/10.5194/esd-13-1505-2022, https://doi.org/10.5194/esd-13-1505-2022, 2022
Short summary
Short summary
Quantifying the imprint of large-scale atmospheric circulation dynamics and associated carbon cycle responses is key to improving our understanding of carbon cycle dynamics. Using a statistical model that relies on spatiotemporal sea level pressure as a proxy for large-scale atmospheric circulation, we quantify the fraction of interannual variability in atmospheric CO2 growth rate and the land CO2 sink that are driven by atmospheric circulation variability.
Xin Yu, René Orth, Markus Reichstein, Michael Bahn, Anne Klosterhalfen, Alexander Knohl, Franziska Koebsch, Mirco Migliavacca, Martina Mund, Jacob A. Nelson, Benjamin D. Stocker, Sophia Walther, and Ana Bastos
Biogeosciences, 19, 4315–4329, https://doi.org/10.5194/bg-19-4315-2022, https://doi.org/10.5194/bg-19-4315-2022, 2022
Short summary
Short summary
Identifying drought legacy effects is challenging because they are superimposed on variability driven by climate conditions in the recovery period. We develop a residual-based approach to quantify legacies on gross primary productivity (GPP) from eddy covariance data. The GPP reduction due to legacy effects is comparable to the concurrent effects at two sites in Germany, which reveals the importance of legacy effects. Our novel methodology can be used to quantify drought legacies elsewhere.
D. Montero, C. Aybar, M. D. Mahecha, and S. Wieneke
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-4-W1-2022, 301–306, https://doi.org/10.5194/isprs-archives-XLVIII-4-W1-2022-301-2022, https://doi.org/10.5194/isprs-archives-XLVIII-4-W1-2022-301-2022, 2022
Sophia Walther, Simon Besnard, Jacob Allen Nelson, Tarek Sebastian El-Madany, Mirco Migliavacca, Ulrich Weber, Nuno Carvalhais, Sofia Lorena Ermida, Christian Brümmer, Frederik Schrader, Anatoly Stanislavovich Prokushkin, Alexey Vasilevich Panov, and Martin Jung
Biogeosciences, 19, 2805–2840, https://doi.org/10.5194/bg-19-2805-2022, https://doi.org/10.5194/bg-19-2805-2022, 2022
Short summary
Short summary
Satellite observations help interpret station measurements of local carbon, water, and energy exchange between the land surface and the atmosphere and are indispensable for simulations of the same in land surface models and their evaluation. We propose generalisable and efficient approaches to systematically ensure high quality and to estimate values in data gaps. We apply them to satellite data of surface reflectance and temperature with different resolutions at the stations.
Basil Kraft, Martin Jung, Marco Körner, Sujan Koirala, and Markus Reichstein
Hydrol. Earth Syst. Sci., 26, 1579–1614, https://doi.org/10.5194/hess-26-1579-2022, https://doi.org/10.5194/hess-26-1579-2022, 2022
Short summary
Short summary
We present a physics-aware machine learning model of the global hydrological cycle. As the model uses neural networks under the hood, the simulations of the water cycle are learned from data, and yet they are informed and constrained by physical knowledge. The simulated patterns lie within the range of existing hydrological models and are plausible. The hybrid modeling approach has the potential to tackle key environmental questions from a novel perspective.
Tina Trautmann, Sujan Koirala, Nuno Carvalhais, Andreas Güntner, and Martin Jung
Hydrol. Earth Syst. Sci., 26, 1089–1109, https://doi.org/10.5194/hess-26-1089-2022, https://doi.org/10.5194/hess-26-1089-2022, 2022
Short summary
Short summary
We assess the effect of how vegetation is defined in a global hydrological model on the composition of total water storage (TWS). We compare two experiments, one with globally uniform and one with vegetation parameters that vary in space and time. While both experiments are constrained against observational data, we found a drastic change in the partitioning of TWS, highlighting the important role of the interaction between groundwater–soil moisture–vegetation in understanding TWS variations.
J. Pacheco-Labrador, U. Weber, X. Ma, M. D. Mahecha, N. Carvalhais, C. Wirth, A. Huth, F. J. Bohn, G. Kraemer, U. Heiden, FunDivEUROPE members, and M. Migliavacca
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVI-1-W1-2021, 49–55, https://doi.org/10.5194/isprs-archives-XLVI-1-W1-2021-49-2022, https://doi.org/10.5194/isprs-archives-XLVI-1-W1-2021-49-2022, 2022
Josephin Kroll, Jasper M. C. Denissen, Mirco Migliavacca, Wantong Li, Anke Hildebrandt, and Rene Orth
Biogeosciences, 19, 477–489, https://doi.org/10.5194/bg-19-477-2022, https://doi.org/10.5194/bg-19-477-2022, 2022
Short summary
Short summary
Plant growth relies on having access to energy (solar radiation) and water (soil moisture). This energy and water availability is impacted by weather extremes, like heat waves and droughts, which will occur more frequently in response to climate change. In this context, we analysed global satellite data to detect in which regions extreme plant growth is controlled by energy or water. We find that extreme plant growth is associated with temperature- or soil-moisture-related extremes.
Renée Hermans, Rebecca McKenzie, Roxane Andersen, Yit Arn Teh, Neil Cowie, and Jens-Arne Subke
Biogeosciences, 19, 313–327, https://doi.org/10.5194/bg-19-313-2022, https://doi.org/10.5194/bg-19-313-2022, 2022
Short summary
Short summary
Peatlands are a significant global carbon store, which can be compromised by drainage and afforestation. We measured the peat decomposition under a 30-year-old drained forest plantation: 115 ± 16 g C m−2 yr−1, ca. 40 % of total soil respiration. Considering input of litter from trees, our results indicate that the soils in these 30-year-old drained and afforested peatlands are a net sink for C, since substantially more C enters the soil as organic matter than is decomposed heterotrophically.
Simon Besnard, Sujan Koirala, Maurizio Santoro, Ulrich Weber, Jacob Nelson, Jonas Gütter, Bruno Herault, Justin Kassi, Anny N'Guessan, Christopher Neigh, Benjamin Poulter, Tao Zhang, and Nuno Carvalhais
Earth Syst. Sci. Data, 13, 4881–4896, https://doi.org/10.5194/essd-13-4881-2021, https://doi.org/10.5194/essd-13-4881-2021, 2021
Short summary
Short summary
Forest age can determine the capacity of a forest to uptake carbon from the atmosphere. Yet, a lack of global diagnostics that reflect the forest stage and associated disturbance regimes hampers the quantification of age-related differences in forest carbon dynamics. In this paper, we introduced a new global distribution of forest age inferred from forest inventory, remote sensing and climate data in support of a better understanding of the global dynamics in the forest water and carbon cycles.
Christina Heinze-Deml, Sebastian Sippel, Angeline G. Pendergrass, Flavio Lehner, and Nicolai Meinshausen
Geosci. Model Dev., 14, 4977–4999, https://doi.org/10.5194/gmd-14-4977-2021, https://doi.org/10.5194/gmd-14-4977-2021, 2021
Short summary
Short summary
Quantifying dynamical and thermodynamical components of regional precipitation change is a key challenge in climate science. We introduce a novel statistical model (Latent Linear Adjustment Autoencoder) that combines the flexibility of deep neural networks with the robustness advantages of linear regression. The method enables estimation of the contribution of a coarse-scale atmospheric circulation proxy to daily precipitation at high resolution and in a spatially coherent manner.
Maurizio Santoro, Oliver Cartus, Nuno Carvalhais, Danaë M. A. Rozendaal, Valerio Avitabile, Arnan Araza, Sytze de Bruin, Martin Herold, Shaun Quegan, Pedro Rodríguez-Veiga, Heiko Balzter, João Carreiras, Dmitry Schepaschenko, Mikhail Korets, Masanobu Shimada, Takuya Itoh, Álvaro Moreno Martínez, Jura Cavlovic, Roberto Cazzolla Gatti, Polyanna da Conceição Bispo, Nasheta Dewnath, Nicolas Labrière, Jingjing Liang, Jeremy Lindsell, Edward T. A. Mitchard, Alexandra Morel, Ana Maria Pacheco Pascagaza, Casey M. Ryan, Ferry Slik, Gaia Vaglio Laurin, Hans Verbeeck, Arief Wijaya, and Simon Willcock
Earth Syst. Sci. Data, 13, 3927–3950, https://doi.org/10.5194/essd-13-3927-2021, https://doi.org/10.5194/essd-13-3927-2021, 2021
Short summary
Short summary
Forests play a crucial role in Earth’s carbon cycle. To understand the carbon cycle better, we generated a global dataset of forest above-ground biomass, i.e. carbon stocks, from satellite data of 2010. This dataset provides a comprehensive and detailed portrait of the distribution of carbon in forests, although for dense forests in the tropics values are somewhat underestimated. This dataset will have a considerable impact on climate, carbon, and socio-economic modelling schemes.
Sirwan Yamulki, Jack Forster, Georgios Xenakis, Adam Ash, Jacqui Brunt, Mike Perks, and James I. L. Morison
Biogeosciences, 18, 4227–4241, https://doi.org/10.5194/bg-18-4227-2021, https://doi.org/10.5194/bg-18-4227-2021, 2021
Short summary
Short summary
The effect of clear-felling on soil greenhouse gas (GHG) fluxes was assessed in a Sitka spruce forest. Measurements over 4 years showed that CO2, CH4, and N2O fluxes responded differently to clear-felling due to significant changes in soil biotic and abiotic factors and showed large variations between years. Over 3 years since felling, the soil GHG flux was reduced by 45% due to a much larger reduction in CO2 efflux than increases in N2O (up to 20%) and CH4 (changed from sink to source) fluxes.
Cited articles
Ashworth, J., Wurtmann, E. J., and Baliga, N. S.: Reverse engineering systems models of regulation: Discovery, prediction and mechanisms, Curr. Opin. Biotechnol., 23, 598–603, https://doi.org/10.1016/j.copbio.2011.12.005, 2012.
Auger, A. and Hansen, N.: A restart CMA evolution strategy with increasing population size, 2005 IEEE Congress on Evolutionary Computation, 2, 1769–1776, https://doi.org/10.1109/CEC.2005.1554902, 2005.
Bandt, C. and Pompe, B.: Permutation entropy: a natural complexity measure for time series, Phys. Rev. Lett., 88, 174102, https://doi.org/10.1103/PhysRevLett.88.174102, 2002.
Bennett, N. D., Croke, B. F., Jakeman, A. J., Newham, L. T. H., and Norton, J. P.: Performance evaluation of environmental models, in: 2010 International Congress on Environmental Modelling and Software Modelling for Environment's Sake, 1–9, http://scholarsarchive.byu.edu/iemssconference/2010/all/247/ (last access: September 2017), 2010.
Beyer, H.-G. and Schwefel, H.-P.: Evolution Strategies, Natrual Computing, 1, 3–52, 2002.
Bonan, G. B.: Forests and climate change: forcings, feedbacks, and the climate benefits of forests, Science, 320, 1444–1449, https://doi.org/10.1126/science.1155121, 2008.
Bongard, J. and Lipson, H.: Automated reverse engineering of nonlinear dynamical systems, P. Natl. Acad. Sci. USA, 104, 9943–9948, https://doi.org/10.1073/pnas.0609476104, 2007.
Breiman, L.: Random forests, Mach. Learn., 45, 5–32, https://doi.org/10.1023/A:1010933404324, 2001.
Broomhead, D. and King, G. P.: Extracting qualitative dynamics from experimental data, Physica D, 20, 217–236, https://doi.org/10.1016/0167-2789(86)90031-X, 1986.
Buttlar, J. V., Zscheischler, J., and Mahecha, M. D.: An extended approach for spatiotemporal gapfilling: Dealing with large and systematic gaps in geoscientific datasets, Nonlin. Processes Geophys., 21, 203–215, https://doi.org/10.5194/npg-21-203-2014, 2014.
Chang, C.-C. and Lin, C.-J.: Libsvm, ACM T. Intell. Syst. Technol., 2, 1–27, https://doi.org/10.1145/1961189.1961199, 2011.
Coello, C. A. and Montes, E. M.: Constraint-handling in genetic algorithms through the use of dominance-based tournament selection, Adv. Eng. Inform., 16, 193–203, https://doi.org/10.1016/S1474-0346(02)00011-3, 2002.
Ehrenfeld, J. G., Ravit, B., and Elgersma, K.: Feedback in the plant-soil system, Annu. Rev. Environ. Resour., 30, 75–115, https://doi.org/10.1146/annurev.energy.30.050504.144212, 2005.
Fernando, D., Shamseldin, A. Y., and Abrahart, R. J.: Using gene expression programming to develop a combined runoff estimate model from conventional rainfall-runoff model outputs, in: IMACS/MODSIM Congress, July 2009, 13–17 July 2009, Cairns, Australia, 748–754, 2009.
Ferreira, C.: Gene expression programming: a new adaptive algorithm, in: The 6th Online World Conference on Soft Computing in Industrial Applications, Complex Systems, 13, 87–129, 2001.
Ferreira, C.: Gene expression programming: mathematical modeling by an artificial intelligence, in: vol. 21, 2nd Edn., Springer-Verlag, Berlin, Heidelberg, https://doi.org/10.1007/3-540-32849-1, 2006.
Friedlingstein, P., Cox, P., Betts, R., Bopp, L., von Bloh, W., Brovkin, V., Cadule, P., Doney, S., Eby, M., Fung, I., Bala, G., John, J., Jones, C., Joos, F., Kato, T., Kawamiya, M., Knorr, W., Lindsay, K., Matthews, H. D., Raddatz, T., Rayner, P., Reick, C., Roeckner, E., Schnitzler, K.-G., Schnur, R., Strassmann, K., Weaver, A. J., Yoshikawa, C., Zeng, N., Friedlingstein, P., Cox, P., Betts, R., Bopp, L., von Bloh, W., Brovkin, V., Cadule, P., Doney, S., Eby, M., Fung, I., Bala, G., John, J., Jones, C., Joos, F., Kato, T., Kawamiya, M., Knorr, W., Lindsay, K., Matthews, H. D., Raddatz, T., Rayner, P., Reick, C., Roeckner, E., Schnitzler, K.-G., Schnur, R., Strassmann, K., Weaver, A. J., Yoshikawa, C., and Zeng, N.: Climate–Carbon Cycle Feedback Analysis: Results from the C4 MIP Model Intercomparison, J. Climate, 19, 3337–3353, https://doi.org/10.1175/JCLI3800.1, 2006.
Gilmanov, T. G., Aires, L., Barcza, Z., Baron, V. S., Belelli, L., Beringer, J., Billesbach, D., Bonal, D., Bradford, J., Ceschia, E., Cook, D., Corradi, C., Frank, A., Gianelle, D., Gimeno, C., Gruenwald, T., Guo, H., Hanan, N., Haszpra, L., Heilman, J., Jacobs, A., Jones, M. B., Johnson, D. A., Kiely, G., Li, S., Magliulo, V., Moors, E., Nagy, Z., Nasyrov, M., Owensby, C., Pinter, K., Pio, C., Reichstein, M., Sanz, M. J., Scott, R., Soussana, J. F., Stoy, P. C., Svejcar, T., Tuba, Z., and Zhou, G.: Productivity, Respiration, and Light-Response Parameters of World Grassland and Agroecosystems Derived From Flux-Tower Measurements, Rangeland Ecol. Manage., 63, 16–39, https://doi.org/10.2111/REM-D-09-00072.1, 2010.
Gupta, H. V., Clark, M. P., Vrugt, J. A., Abramowitz, G., and Ye, M.: Towards a comprehensive assessment of model structural adequacy, Water Resour. Res., 48, W08301, https://doi.org/10.1029/2011WR011044, 2012.
Hansen, N.: The CMA Evolution Strategy: A Comparing Review, Stud. Fuzzin. Soft Comput., 192, 75–102, https://doi.org/10.1007/3-540-32494-1, 2006.
Hansen, N., Müller, S. D., and Koumoutsakos, P.: Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES), Evolut. Comput., 11, 1–18, https://doi.org/10.1162/106365603321828970, 2003.
Hanson, P. J., Edwards, N. T., Garten, C. T., Andrews, J. A., Hanson, P. J., Edwards, C. T. G., and Andrews, J. A.: Separating root and soil microbial contributions to soil respiration: A review of methods and observations, Biogeochemistry, 48, 115–146, https://doi.org/10.1023/A:1006244819642, 2000.
Hashmi, M. Z. and Shamseldin, A. Y.: Use of Gene Expression Programming in regionalization of flow duration curve, Adv. Water Resour., 68, 1–12, https://doi.org/10.1016/j.advwatres.2014.02.009, 2014.
Hearst, M. A.: Support vector machines, IEEE Intell. Syst. Appl., 13, 18–28, https://doi.org/10.1109/5254.708428, 1998.
Heimann, M. and Reichstein, M.: Terrestrial ecosystem carbon dynamics and climate feedbacks, Nature, 451, 289–292, https://doi.org/10.1038/nature06591, 2008.
Heinemeyer, A., Di Bene, C., Lloyd, A. R., Tortorella, D., Baxter, R., Huntley, B., Gelsomino, A., and Ineson, P.: Soil respiration: Implications of the plant–soil continuum and respiration chamber collar-insertion depth on measurement and modelling of soil CO2 efflux rates in three ecosystems, Eur. J. Soil Sci., 62, 82–94, https://doi.org/10.1111/j.1365-2389.2010.01331.x, 2011.
Heinemeyer, A., Wilkinson, M., Vargas, R., Subke, J. A., Casella, E., Morison, J. I. L., and Ineson, P.: Exploring the overflow tap theory: Linking forest soil CO2 fluxes and individual mycorrhizosphere components to photosynthesis, Biogeosciences, 9, 79–95, https://doi.org/10.5194/bg-9-79-2012, 2012.
Hoerl, A. E. and Kennard, R. W.: Ridge Regression: Biased Estimation for Nonorthogonal Problems, Technometrics, 12, 55–67, https://doi.org/10.1080/00401706.1970.10488634, 1970.
Hoffmann, M., Jurisch, N., Albiac Borraz, E., Hagemann, U., Drösler, M., Sommer, M., and Augustin, J.: Automated modeling of ecosystem CO2 fluxes based on periodic closed chamber measurements: A standardized conceptual and practical approach, Agr. Forest Meteorol., 200, 30–45, https://doi.org/10.1016/j.agrformet.2014.09.005, 2015.
Hölttä, T., Mencuccini, M., and Nikinmaa, E.: A carbon cost-gain model explains the observed patterns of xylem safety and efficiency, Plant Cell Environ., 34, 1819–1834, https://doi.org/10.1111/j.1365-3040.2011.02377.x, 2011.
Ilie, I., Mahecha, M. D., Jung, M., Carvalhais, N., and Dittrich, P.: Evolving compact symbolic expressions by a GEP CMA-ES hybrid approach, Genet. Program. Evolvab. Mach., in preparation, 2017.
Jakeman, A. J., Letcher, R. A., and Norton, J. P.: Ten iterative steps in development and evaluation of environmental models, Environ. Model. Softw., 21, 602–614, https://doi.org/10.1016/j.envsoft.2006.01.004, 2006.
Kabanikhin, S. I.: Definitions and examples of inverse and ill-posed problems, J. Inverse Ill-Posed Probl., 16, 317–357, https://doi.org/10.1515/JIIP.2008.019, 2008.
Keene, O. N.: The log transformation is special, Stat. Med., 14, 811–819, https://doi.org/10.1002/sim.4780140810, 1995.
Khatibi, R., Naghipour, L., Ghorbani, M. A., Smith, M. S., Karimi, V., Farhoudi, R., Delafrouz, H., and Arvanaghi, H.: Developing a predictive tropospheric ozone model for Tabriz, Atmos. Environ., 68, 286–294, https://doi.org/10.1016/j.atmosenv.2012.11.020, 2013.
Kotanchek, M. E., Vladislavleva, E., and Smits, G.: Symbolic Regression Is Not Enough: It Takes a Village to Raise a Model, in: Genetic Programming Theory and Practice X, Springer Science + Business Media, New York, 187–203, https://doi.org/10.1007/978-1-4614-6846-2, 2013.
Kowalski, A. M., Martín, M. T., Plastino, A., Rosso, O. A., and Casas, M.: Distances in Probability Space and the Statistical Complexity Setup, Entropy, 13, 1055–1075, https://doi.org/10.3390/e13061055, 2011.
Kuzyakov, Y.: Sources of CO2 efflux from soil and review of partitioning methods, Soil Biol. Biochem., 38, 425–448, https://doi.org/10.1016/j.soilbio.2005.08.020, 2006.
Lasslop, G., Reichstein, M., Kattge, J., and Papale, D.: Influences of observation errors in eddy flux data on inverse model parameter estimation, Biogeosciences, 5, 1311–1324, https://doi.org/10.5194/bg-5-1311-2008, 2008.
Lasslop, G., Migliavacca, M., Bohrer, G., Reichstein, M., Bahn, M., Ibrom, A., Jacobs, C., Kolari, P., Papale, D., Vesala, T., Wohlfahrt, G., and Cescatti, A.: On the choice of the driving temperature for eddy-covariance carbon dioxide flux partitioning, Biogeosciences, 9, 5243–5259, https://doi.org/10.5194/bg-9-5243-2012, 2012.
Lavoie, M., Phillips, C. L., and Risk, D.: A practical approach for uncertainty quantification of high-frequency soil respiration using Forced Diffusion chambers, J. Geophys. Res.-Biogeo., 120, 128–146, https://doi.org/10.1002/2014JG002773, 2015.
Lazaro-Gredilla, M., Titsias, M. K., Verrelst, J., and Camps-Valls, G.: Retrieval of Biophysical Parameters With Heteroscedastic Gaussian Processes, IEEE Geosci. Remote Sens. Lett., 11, 838–842, https://doi.org/10.1109/LGRS.2013.2279695, 2014.
Lloyd, J. and Taylor, J. A.: On the temperature dependence of soil respiration, Funct. Ecol., 8, 315–323, 1994.
Luo, Y., Keenan, T. F., and Smith, M. J.: Predictability of the terrestrial carbon cycle, Global Change Biol., 21, 1737–1751, https://doi.org/10.1111/gcb.12766, 2015.
Mahecha, M. D., Reichstein, M., Carvalhais, N., Lasslop, G., Lange, H., Seneviratne, S. I., Vargas, R., Ammann, C., Arain, M. A., Cescatti, A., Janssens, I. A., Migliavacca, M., Montagnani, L., and Richardson, A. D.: Global convergence in the temperature sensitivity of respiration at ecosystem level, Science, 329, 838–840, https://doi.org/10.1126/science.1189587, 2010.
Manning, W. G.: The Logged dependent variable, heteroskedasticity, and the retransformation problem, J. Health Econ., 17, 283–295, https://doi.org/10.1016/S0167-6296(98)00025-3, 1998.
Migliavacca, M., Reichstein, M., Richardson, A. D., Colombo, R., Sutton, M. A., Lasslop, G., Tomelleri, E., Wohlfahrt, G., Carvalhais, N., Cescatti, A., Mahecha, M. D., Montagnani, L., Papale, D., Zaehle, S., Arain, A., Arneth, A., Black, T. A., Carrara, A., Dore, S., Gianelle, D., Helfter, C., Hollinger, D., Kutsch, W. L., Lafleur, P. M., Nouvellon, Y., Rebmann, C., Humberto, R., Rodeghiero, M., Roupsard, O., Sebastià, M. T., Seufert, G., Soussana, J. F., and Michiel, K.: Semiempirical modeling of abiotic and biotic factors controlling ecosystem respiration across eddy covariance sites, Global Change Biol., 17, 390–409, https://doi.org/10.1111/j.1365-2486.2010.02243.x, 2011.
Migliavacca, M., Sonnentag, O., Keenan, T. F., Cescatti, A., O'Keefe, J., and Richardson, A. D.: On the uncertainty of phenological responses to climate change, and implications for a terrestrial biosphere model, Biogeosciences, 9, 2063–2083, https://doi.org/10.5194/bg-9-2063-2012, 2012.
Migliavacca, M., Reichstein, M., Richardson, A. D., Mahecha, M. D., Cremonese, E., Delpierre, N., Galvagno, M., Law, B. E., Wohlfahrt, G., Andrew Black, T., Carvalhais, N., Ceccherini, G., Chen, J., Gobron, N., Koffi, E., William Munger, J., Perez-Priego, O., Robustelli, M., Tomelleri, E., and Cescatti, A.: Influence of physiological phenology on the seasonal pattern of ecosystem respiration in deciduous forests, Global Change Biol., 21, 363–376, https://doi.org/10.1111/gcb.12671, 2015.
Mitchell, S., Beven, K., and Freer, J.: Multiple sources of predictive uncertainty in modeled estimates of net ecosystem CO2 exchange, Ecol. Model., 220, 3259–3270, https://doi.org/10.1016/j.ecolmodel.2009.08.021, 2009.
Moncrieff, J., Massheder, J., de Bruin, H., Elbers, J., Friborg, T., Heusinkveld, B., Kabat, P., Scott, S., Soegaard, H., and Verhoef, A.: A system to measure surface fluxes of momentum, sensible heat, water vapour and carbon dioxide, J. Hydrol., 188-189, 589–611, https://doi.org/10.1016/S0022-1694(96)03194-0, 1997.
Moyano, F. E., Kutsch, W. L., and Rebmann, C.: Soil respiration fluxes in relation to photosynthetic activity in broad-leaf and needle-leaf forest stands, Agr. Forest Meteorol., 148, 135–143, https://doi.org/10.1016/j.agrformet.2007.09.006, 2008.
Nash, J. and Sutcliffe, J.: River flow forecasting through conceptual models part I – A discussion of principles, J. Hydrol., 10, 282–290, https://doi.org/10.1016/0022-1694(70)90255-6, 1970.
Newman, M. C.: Regression Analysis of Log-Transformed Data – Statistical Bias and Its Correction (Short Communication), Environ. Toxicol. Chem., 12, 1129–1133, https://doi.org/10.1002/etc.5620120618, 1993.
Peng, S., Ciais, P., Chevallier, F., Peylin, P., Cadule, P., Sitch, S., Piao, S., Ahlström, A., Huntingford, C., Levy, P., Li, X., Liu, Y., Lomas, M., Poulter, B., Viovy, N., Wang, T., Wang, X., Zaehle, S., Zeng, N., Zhao, F., and Zhao, H.: Benchmarking the seasonal cycle of CO2 fluxes simulated by terrestrial ecosystem models, Global Biogeochem. Cy., 29, 46–64, https://doi.org/10.1002/2014GB004931, 2014.
Peng, Y., Yuan, C., Qin, X., Huang, J., and Shi, Y.: An improved Gene Expression Programming approach for symbolic regression problems, Neurocomputing, 137, 293–301, https://doi.org/10.1016/j.neucom.2013.05.062, 2014.
Pérez-Priego, O., López-Ballesteros, A., Sánchez-Cañete, E. P., Serrano-Ortiz, P., Kutzbach, L., Domingo, F., Eugster, W., Kowalski, A. S., Sánchez-Cañete, E. P., Serrano-Ortiz, P., Kowalski, A. S., López-Ballesteros, A., Domingo, F., Kutzbach, L., Eugster, W., and Pérez-Priego, O.: Analysing uncertainties in the calculation of fluxes using whole-plant chambers: random and systematic errors, Plant Soil, 393, 229–244, https://doi.org/10.1007/s11104-015-2481-x, 2015.
Reichstein, M. and Beer, C.: Soil respiration across scales: The importance of a model-data integration framework for data interpretation, J. Plant Nutr. Soil Sci., 171, 344–354, https://doi.org/10.1002/jpln.200700075, 2008.
Reichstein, M., Falge, E., Baldocchi, D., Papale, D., Aubinet, M., Berbigier, P., Bernhofer, C., Buchmann, N., Gilmanov, T., Granier, A., Grünwald, T., Havránková, K., Ilvesniemi, H., Janous, D., Knohl, A., Laurila, T., Lohila, A., Loustau, D., Matteucci, G., Meyers, T., Miglietta, F., Ourcival, J. M., Pumpanen, J., Rambal, S., Rotenberg, E., Sanz, M., Tenhunen, J., Seufert, G., Vaccari, F., Vesala, T., Yakir, D., and Valentini, R.: On the separation of net ecosystem exchange into assimilation and ecosystem respiration: Review and improved algorithm, Global Change Biol., 11, 1424–1439, https://doi.org/10.1111/j.1365-2486.2005.001002.x, 2005.
Richardson, A. D., Mahecha, M. D., Falge, E., Kattge, J., Moffat, A. M., Papale, D., Reichstein, M., Stauch, V. J., Braswell, B. H., Churkina, G., Kruijt, B., and Hollinger, D. Y.: Statistical properties of random CO2 flux measurement uncertainty inferred from model residuals, Agr. Forest Meteorol., 148, 38–50, https://doi.org/10.1016/j.agrformet.2007.09.001, 2008.
Rosso, O. A., Larrondo, H. A., Martin, M. T., Plastino, A., and Fuentes, M. A.: Distinguishing Noise from Chaos, Phys. Rev. Lett., 99, 154102, https://doi.org/10.1103/PhysRevLett.99.154102, 2007.
Ryan, M. G. and Law, B. E.: Interpreting, measuring, and modeling soil respiration, Biogeochemistry, 73, 3–27, https://doi.org/10.1007/s10533-004-5167-7, 2005.
Shannon, C. E.: A Mathematical Theory of Communication, Bell Syst. Tech. J., 27, 379–423, 1948.
Shi, Z., Wang, F., and Liu, Y.: Response of soil respiration under different mycorrhizal strategies to precipitation and temperature, J. Soil Sci. Plant Nutr., 12, 411–420, https://doi.org/10.4067/S0718-95162013005000053, 2012.
Sippel, S., Lange, H., Mahecha, M., Hauhs, M., Gans, F., Bodesheim, P., and Rosso, O.: Diagnosing the dynamics of observed and simulated ecosystem gross primary productivity with time causal information theory quantifiers, PLoS ONE, 11, e0164960, https://doi.org/10.1371/journal.pone.0164960, 2016.
Subke, J.-A., Inglima, I., and Francesca Cotrufo, M.: Trends and methodological impacts in soil CO2 efflux partitioning: A metaanalytical review, Global Change Biol., 12, 921–943, https://doi.org/10.1111/j.1365-2486.2006.01117.x, 2006.
Tramontana, G., Jung, M., Schwalm, C. R., Ichii, K., Camps-Valls, G., Ráduly, B., Reichstein, M., Arain, M. A., Cescatti, A., Kiely, G., Merbold, L., Serrano-Ortiz, P., Sickert, S., Wolf, S., and Papale, D.: Predicting carbon dioxide and energy fluxes across global FLUXNET sites with regression algorithms, Biogeosciences, 13, 4291–4313, https://doi.org/10.5194/bg-13-4291-2016, 2016.
Traore, S. and Guven, A.: New algebraic formulations of evapotranspiration extracted from gene-expression programming in the tropical seasonally dry regions of West Africa, Irrig. Sci., 31, 1–10, https://doi.org/10.1007/s00271-011-0288-y, 2013.
Trumbore, S.: Carbon respired by terrestrial ecosystems – recent progress and challenges, Global Change Biol., 2, 141–153, https://doi.org/10.1111/j.1365-2486.2006.01067.x, 2006.
Wehr, R., Munger, J. W., McManus, J. B., Nelson, D. D., Zahniser, M. S., Davidson, E. A., Wofsy, S. C., and Saleska, S. R.: Seasonality of temperate forest photosynthesis and daytime respiration, Nature, 534, 680–683, https://doi.org/10.1038/nature17966, 2016.
Wilkinson, M., Eaton, E. L., Broadmeadow, M. S. J., and Morison, J. I. L.: Inter-annual variation of carbon uptake by a plantation oak woodland in south-eastern England, Biogeosciences, 9, 5373–5389, https://doi.org/10.5194/bg-9-5373-2012, 2012.
Williams, M., Richardson, A. D., Reichstein, M., Stoy, P. C., Peylin, P., Verbeeck, H., Carvalhais, N., Jung, M., Hollinger, D. Y., Kattge, J., Leuning, R., Luo, Y., Tomelleri, E., Trudinger, C. M., and Wang, Y.-P.: Improving land surface models with FLUXNET data, Biogeosciences, 6, 1341–1359, https://doi.org/10.5194/bg-6-1341-2009, 2009.
Yegnanarayana, B.: Artificial neural networks, Prentice-Hall of India Pvt. Ltd, New Delhi, 2006.
Zanin, M., Zunino, L., Rosso, O. A., and Papo, D.: Permutation Entropy and Its Main Biomedical and Econophysics Applications: A Review, Entropy, 14, 1553–1577, https://doi.org/10.3390/e14081553, 2012.
Short summary
Accurate representation of land-atmosphere carbon fluxes is essential for future climate projections, although some of the responses of CO2 fluxes to climate often remain uncertain. The increase in available data allows for new approaches in their modelling. We automatically developed models for ecosystem and soil carbon respiration using a machine learning approach. When compared with established respiration models, we found that they are better in prediction as well as offering new insights.
Accurate representation of land-atmosphere carbon fluxes is essential for future climate...