Articles | Volume 14, issue 4
https://doi.org/10.5194/esd-14-861-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esd-14-861-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Working at the limit: a review of thermodynamics and optimality of the Earth system
Max-Planck-Institute for Biogeochemistry, Hans-Knoell-Str. 10, 07745 Jena, Germany
Related authors
Jonathan Minz, Axel Kleidon, and Nsilulu T. Mbungu
Wind Energ. Sci., 9, 2147–2169, https://doi.org/10.5194/wes-9-2147-2024, https://doi.org/10.5194/wes-9-2147-2024, 2024
Short summary
Short summary
Estimates of power output from regional wind turbine deployments in energy scenarios assume that the impact of the atmospheric feedback on them is minimal. But numerical models show that the impact is large at the proposed scales of future deployment. We show that this impact can be captured by accounting only for the kinetic energy removed by turbines from the atmosphere. This can be easily applied to energy scenarios and leads to more physically representative estimates.
This article is included in the Encyclopedia of Geosciences
Pin-Hsin Hu, Christian H. Reick, Reiner Schnur, Axel Kleidon, and Martin Claussen
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2024-111, https://doi.org/10.5194/gmd-2024-111, 2024
Preprint under review for GMD
Short summary
Short summary
We introduce the new plant functional diversity model JeDi-BACH, a novel tool that integrates the Jena Diversity Model (JeDi) within the land component of the ICON Earth System Model. JeDi-BACH captures a richer set of plant trait variations based on environmental filtering and functional tradeoffs without a priori knowledge of the vegetation types. JeDi-BACH represents a significant advancement in modeling the complex interactions between plant functional diversity and climate.
This article is included in the Encyclopedia of Geosciences
Yinglin Tian, Deyu Zhong, Sarosh Alam Ghausi, Guangqian Wang, and Axel Kleidon
Earth Syst. Dynam., 14, 1363–1374, https://doi.org/10.5194/esd-14-1363-2023, https://doi.org/10.5194/esd-14-1363-2023, 2023
Short summary
Short summary
Downward longwave radiation (Rld) is critical for the surface energy budget, but its climatological variation on a global scale is not yet well understood physically. We use a semi-empirical equation derived by Brutsaert (1975) to identify the controlling role that atmospheric heat storage plays in spatiotemporal variations of Rld. Our work helps us to better understand aspects of climate variability, extreme events, and global warming by linking these to the mechanistic contributions of Rld.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon, Gabriele Messori, Somnath Baidya Roy, Ira Didenkulova, and Ning Zeng
Earth Syst. Dynam., 14, 241–242, https://doi.org/10.5194/esd-14-241-2023, https://doi.org/10.5194/esd-14-241-2023, 2023
Sarosh Alam Ghausi, Subimal Ghosh, and Axel Kleidon
Hydrol. Earth Syst. Sci., 26, 4431–4446, https://doi.org/10.5194/hess-26-4431-2022, https://doi.org/10.5194/hess-26-4431-2022, 2022
Short summary
Short summary
The observed response of extreme precipitation to global warming remains unclear with significant regional variations. We show that a large part of this uncertainty can be removed when the imprint of clouds in surface temperatures is removed. We used a thermodynamic systems approach to remove the cloud radiative effect from temperatures. We then found that precipitation extremes intensified with global warming at positive rates which is consistent with physical arguments and model simulations.
This article is included in the Encyclopedia of Geosciences
Samuel Schroers, Olivier Eiff, Axel Kleidon, Ulrike Scherer, Jan Wienhöfer, and Erwin Zehe
Hydrol. Earth Syst. Sci., 26, 3125–3150, https://doi.org/10.5194/hess-26-3125-2022, https://doi.org/10.5194/hess-26-3125-2022, 2022
Short summary
Short summary
In hydrology the formation of landform patterns is of special interest as changing forcings of the natural systems, such as climate or land use, will change these structures. In our study we developed a thermodynamic framework for surface runoff on hillslopes and highlight the differences of energy conversion patterns on two related spatial and temporal scales. The results indicate that surface runoff on hillslopes approaches a maximum power state.
This article is included in the Encyclopedia of Geosciences
Samuel Schroers, Olivier Eiff, Axel Kleidon, Jan Wienhöfer, and Erwin Zehe
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2021-79, https://doi.org/10.5194/hess-2021-79, 2021
Manuscript not accepted for further review
Short summary
Short summary
In this study we ask the basic question why surface runoff forms drainage networks and confluences at all and how structural macro form and micro topography is a result of thermodynamic laws. We find that on a macro level hillslopes should tend from negative exponential towards exponential forms and that on a micro level the formation of rills goes hand in hand with drainage network formation of river basins. We hypothesize that we can learn more about erosion processes if we extend this theory.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Lee M. Miller
Geosci. Model Dev., 13, 4993–5005, https://doi.org/10.5194/gmd-13-4993-2020, https://doi.org/10.5194/gmd-13-4993-2020, 2020
Short summary
Short summary
When winds are used as renewable energy by more and more wind turbines, one needs to account for the effect of wind turbines on the atmospheric flow. The Kinetic Energy Budget of the Atmosphere (KEBA) model provides a simple, physics-based approach to account for this effect very well when compared to much more detailed numerical simulations with an atmospheric model. KEBA should be useful to derive lower, more realistic wind energy resource potentials of different regions.
This article is included in the Encyclopedia of Geosciences
Annu Panwar, Maik Renner, and Axel Kleidon
Hydrol. Earth Syst. Sci., 24, 4923–4942, https://doi.org/10.5194/hess-24-4923-2020, https://doi.org/10.5194/hess-24-4923-2020, 2020
Short summary
Short summary
Here we examine the effect of evaporative cooling across different vegetation types. Evaporation cools surface temperature significantly in short vegetation. In the forest, the high aerodynamic conductance explains 56 % of the reduced surface temperature. Therefore, the main cooling agent in the forest is the high aerodynamic conductance and not evaporation. Additionally, we propose the diurnal variation in surface temperature as being a potential indicator of evaporation in short vegetation.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon, Erwin Zehe, and Ralf Loritz
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2019-52, https://doi.org/10.5194/esd-2019-52, 2019
Manuscript not accepted for further review
Short summary
Short summary
Many fluxes in Earth systems are not homogeneously distributed across space, but occur highly concentrated in structures, such as turbulent eddies, river networks, vascular networks of plants, or human-made infrastructures. Yet, the highly-organized nature of these fluxes is typically only described at a rudimentary level, if at all. We propose that it requires a novel approach to describe these structures that focuses on the work done to build and maintain these structures, and the feedbacks.
This article is included in the Encyclopedia of Geosciences
Ralf Loritz, Axel Kleidon, Conrad Jackisch, Martijn Westhoff, Uwe Ehret, Hoshin Gupta, and Erwin Zehe
Hydrol. Earth Syst. Sci., 23, 3807–3821, https://doi.org/10.5194/hess-23-3807-2019, https://doi.org/10.5194/hess-23-3807-2019, 2019
Short summary
Short summary
In this study, we develop a topographic index explaining hydrological similarity within a energy-centered framework, with the observation that the majority of potential energy is dissipated when rainfall becomes runoff.
This article is included in the Encyclopedia of Geosciences
Philipp Porada, Alexandra Tamm, Jose Raggio, Yafang Cheng, Axel Kleidon, Ulrich Pöschl, and Bettina Weber
Biogeosciences, 16, 2003–2031, https://doi.org/10.5194/bg-16-2003-2019, https://doi.org/10.5194/bg-16-2003-2019, 2019
Short summary
Short summary
The trace gases NO and HONO are crucial for atmospheric chemistry. It has been suggested that biological soil crusts in drylands contribute substantially to global NO and HONO emissions, based on empirical upscaling of laboratory and field observations. Here we apply an alternative, process-based modeling approach to predict these emissions. We find that biological soil crusts emit globally significant amounts of NO and HONO, which also vary depending on the type of biological soil crust.
This article is included in the Encyclopedia of Geosciences
Erwin Zehe, Ralf Loritz, Conrad Jackisch, Martijn Westhoff, Axel Kleidon, Theresa Blume, Sibylle K. Hassler, and Hubert H. Savenije
Hydrol. Earth Syst. Sci., 23, 971–987, https://doi.org/10.5194/hess-23-971-2019, https://doi.org/10.5194/hess-23-971-2019, 2019
Martijn Westhoff, Axel Kleidon, Stan Schymanski, Benjamin Dewals, Femke Nijsse, Maik Renner, Henk Dijkstra, Hisashi Ozawa, Hubert Savenije, Han Dolman, Antoon Meesters, and Erwin Zehe
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2019-6, https://doi.org/10.5194/esd-2019-6, 2019
Publication in ESD not foreseen
Short summary
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Even models relying on physical laws have parameters that need to be measured or estimated. Thermodynamic optimality principles potentially offer a way to reduce the number of estimated parameters by stating that a system evolves to an optimum state. These principles have been applied successfully within the Earth system, but it is often unclear what to optimize and how. In this review paper we identify commonalities between different successful applications as well as some doubtful applications.
This article is included in the Encyclopedia of Geosciences
Maik Renner, Claire Brenner, Kaniska Mallick, Hans-Dieter Wizemann, Luigi Conte, Ivonne Trebs, Jianhui Wei, Volker Wulfmeyer, Karsten Schulz, and Axel Kleidon
Hydrol. Earth Syst. Sci., 23, 515–535, https://doi.org/10.5194/hess-23-515-2019, https://doi.org/10.5194/hess-23-515-2019, 2019
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We estimate the phase lag of surface states and heat fluxes to incoming solar radiation at the sub-daily timescale. While evapotranspiration reveals a minor phase lag, the vapor pressure deficit used as input by Penman–Monteith approaches shows a large phase lag. The surface-to-air temperature gradient used by energy balance residual approaches shows a small phase shift in agreement with the sensible heat flux and thus explains the better correlation of these models at the sub-daily timescale.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Maik Renner
Earth Syst. Dynam., 9, 1127–1140, https://doi.org/10.5194/esd-9-1127-2018, https://doi.org/10.5194/esd-9-1127-2018, 2018
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Turbulent fluxes represent an efficient way to transport heat and moisture from the surface into the atmosphere. Due to their inherently highly complex nature, they are commonly described by semiempirical relationships. What we show here is that these fluxes can also be predicted by viewing them as the outcome of a heat engine that operates between the warm surface and the cooler atmosphere and that works at its limit.
This article is included in the Encyclopedia of Geosciences
Ralf Loritz, Hoshin Gupta, Conrad Jackisch, Martijn Westhoff, Axel Kleidon, Uwe Ehret, and Erwin Zehe
Hydrol. Earth Syst. Sci., 22, 3663–3684, https://doi.org/10.5194/hess-22-3663-2018, https://doi.org/10.5194/hess-22-3663-2018, 2018
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In this study we explore the role of spatially distributed information on hydrological modeling. For that, we develop and test an approach which draws upon information theory and thermodynamic reasoning. We show that the proposed set of methods provide a powerful framework for understanding and diagnosing how and when process organization and functional similarity of hydrological systems emerge in time and, hence, when which landscape characteristic is important in a model application.
This article is included in the Encyclopedia of Geosciences
Corina Buendía, Axel Kleidon, Stefano Manzoni, Björn Reu, and Amilcare Porporato
Biogeosciences, 15, 279–295, https://doi.org/10.5194/bg-15-279-2018, https://doi.org/10.5194/bg-15-279-2018, 2018
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Amazonia is highly biodiverse and of global importance for regulating the climate system. Because soils are highly weathered, phosphorus (P) is suggested to limit ecosystem productivity. Here, we evaluate the importance of P redistribution by animals using a simple mathematical model synthesizing the major processes of the Amazon P cycle. Our findings suggest that food web complexity plays an important role for sustaining the productivity of terra firme forests.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Hubert H. G. Savenije
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-674, https://doi.org/10.5194/hess-2017-674, 2017
Revised manuscript not accepted
Short summary
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At larger scales, the flow of rivers can often be described by a relatively simple, exponential decay, and it is unclear how such simple behaviour can be explained given that river basins show such vast complexity. Here, we use a highly idealised model to show that such simple behaviour can be explained by viewing it as the emergent consequence of the groundwater system (which feeds river flow) minimising its energy dissipation.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Maik Renner
Earth Syst. Dynam., 8, 849–864, https://doi.org/10.5194/esd-8-849-2017, https://doi.org/10.5194/esd-8-849-2017, 2017
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We provide an explanation why land temperatures respond more strongly to global warming than ocean temperatures, a robust finding in observations and models that has so far not been understood well. We explain it by the different ways by which ocean and land surfaces buffer the strong variation in solar radiation and demonstrate this with a simple, physically based model. Our explanation also illustrates why nighttime temperatures warm more strongly, another robust finding of global warming.
This article is included in the Encyclopedia of Geosciences
Philipp Porada, Ulrich Pöschl, Axel Kleidon, Christian Beer, and Bettina Weber
Biogeosciences, 14, 1593–1602, https://doi.org/10.5194/bg-14-1593-2017, https://doi.org/10.5194/bg-14-1593-2017, 2017
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Lichens and bryophytes have been shown to release nitrous oxide, which is a strong greenhouse gas and atmospheric ozone-depleting agent. Here we apply a process-based computer model of lichens and bryophytes at the global scale, to estimate growth and respiration of the organisms. By relating respiration to nitrous oxide release, we simulate global nitrous oxide emissions of 0.27 (0.19–0.35) Tg yr−1. Moreover, we quantify different sources of uncertainty in nitrous oxide emission rates.
This article is included in the Encyclopedia of Geosciences
Anke Hildebrandt, Axel Kleidon, and Marcel Bechmann
Hydrol. Earth Syst. Sci., 20, 3441–3454, https://doi.org/10.5194/hess-20-3441-2016, https://doi.org/10.5194/hess-20-3441-2016, 2016
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This theoretical paper describes the energy fluxes and dissipation along the flow paths involved in root water uptake, an approach that is rarely taken. We show that this provides useful additional insights for understanding the biotic and abiotic impediments to root water uptake. This approach shall be applied to explore efficient water uptake strategies and help locate the limiting processes in the complex soil–plant–atmosphere system.
This article is included in the Encyclopedia of Geosciences
Maik Renner, Sibylle K. Hassler, Theresa Blume, Markus Weiler, Anke Hildebrandt, Marcus Guderle, Stanislaus J. Schymanski, and Axel Kleidon
Hydrol. Earth Syst. Sci., 20, 2063–2083, https://doi.org/10.5194/hess-20-2063-2016, https://doi.org/10.5194/hess-20-2063-2016, 2016
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We estimated forest transpiration (European beech) along a steep valley cross section. Atmospheric demand, obtained by the thermodynamic limit of maximum power, is the dominant control of transpiration at all sites.
To our surprise we find that transpiration is rather similar across sites with different aspect (north vs. south) and different stand structure due to systematically varying sap velocities. Such a compensation effect is highly relevant for modeling and upscaling of transpiration.
This article is included in the Encyclopedia of Geosciences
E. Zehe, U. Ehret, L. Pfister, T. Blume, B. Schröder, M. Westhoff, C. Jackisch, S. J. Schymanski, M. Weiler, K. Schulz, N. Allroggen, J. Tronicke, L. van Schaik, P. Dietrich, U. Scherer, J. Eccard, V. Wulfmeyer, and A. Kleidon
Hydrol. Earth Syst. Sci., 18, 4635–4655, https://doi.org/10.5194/hess-18-4635-2014, https://doi.org/10.5194/hess-18-4635-2014, 2014
C. Buendía, S. Arens, T. Hickler, S. I. Higgins, P. Porada, and A. Kleidon
Biogeosciences, 11, 3661–3683, https://doi.org/10.5194/bg-11-3661-2014, https://doi.org/10.5194/bg-11-3661-2014, 2014
A. Kleidon, M. Renner, and P. Porada
Hydrol. Earth Syst. Sci., 18, 2201–2218, https://doi.org/10.5194/hess-18-2201-2014, https://doi.org/10.5194/hess-18-2201-2014, 2014
U. Ehret, H. V. Gupta, M. Sivapalan, S. V. Weijs, S. J. Schymanski, G. Blöschl, A. N. Gelfan, C. Harman, A. Kleidon, T. A. Bogaard, D. Wang, T. Wagener, U. Scherer, E. Zehe, M. F. P. Bierkens, G. Di Baldassarre, J. Parajka, L. P. H. van Beek, A. van Griensven, M. C. Westhoff, and H. C. Winsemius
Hydrol. Earth Syst. Sci., 18, 649–671, https://doi.org/10.5194/hess-18-649-2014, https://doi.org/10.5194/hess-18-649-2014, 2014
S. P. K. Bowring, L. M. Miller, L. Ganzeveld, and A. Kleidon
Earth Syst. Dynam., 5, 43–53, https://doi.org/10.5194/esd-5-43-2014, https://doi.org/10.5194/esd-5-43-2014, 2014
A. Kleidon and M. Renner
Earth Syst. Dynam., 4, 455–465, https://doi.org/10.5194/esd-4-455-2013, https://doi.org/10.5194/esd-4-455-2013, 2013
P. Porada, B. Weber, W. Elbert, U. Pöschl, and A. Kleidon
Biogeosciences, 10, 6989–7033, https://doi.org/10.5194/bg-10-6989-2013, https://doi.org/10.5194/bg-10-6989-2013, 2013
E. Zehe, U. Ehret, T. Blume, A. Kleidon, U. Scherer, and M. Westhoff
Hydrol. Earth Syst. Sci., 17, 4297–4322, https://doi.org/10.5194/hess-17-4297-2013, https://doi.org/10.5194/hess-17-4297-2013, 2013
E. Simoncini, N. Virgo, and A. Kleidon
Earth Syst. Dynam., 4, 317–331, https://doi.org/10.5194/esd-4-317-2013, https://doi.org/10.5194/esd-4-317-2013, 2013
A. Kleidon and M. Renner
Hydrol. Earth Syst. Sci., 17, 2873–2892, https://doi.org/10.5194/hess-17-2873-2013, https://doi.org/10.5194/hess-17-2873-2013, 2013
A. Kleidon, E. Zehe, U. Ehret, and U. Scherer
Hydrol. Earth Syst. Sci., 17, 225–251, https://doi.org/10.5194/hess-17-225-2013, https://doi.org/10.5194/hess-17-225-2013, 2013
Jonathan Minz, Axel Kleidon, and Nsilulu T. Mbungu
Wind Energ. Sci., 9, 2147–2169, https://doi.org/10.5194/wes-9-2147-2024, https://doi.org/10.5194/wes-9-2147-2024, 2024
Short summary
Short summary
Estimates of power output from regional wind turbine deployments in energy scenarios assume that the impact of the atmospheric feedback on them is minimal. But numerical models show that the impact is large at the proposed scales of future deployment. We show that this impact can be captured by accounting only for the kinetic energy removed by turbines from the atmosphere. This can be easily applied to energy scenarios and leads to more physically representative estimates.
This article is included in the Encyclopedia of Geosciences
Pin-Hsin Hu, Christian H. Reick, Reiner Schnur, Axel Kleidon, and Martin Claussen
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2024-111, https://doi.org/10.5194/gmd-2024-111, 2024
Preprint under review for GMD
Short summary
Short summary
We introduce the new plant functional diversity model JeDi-BACH, a novel tool that integrates the Jena Diversity Model (JeDi) within the land component of the ICON Earth System Model. JeDi-BACH captures a richer set of plant trait variations based on environmental filtering and functional tradeoffs without a priori knowledge of the vegetation types. JeDi-BACH represents a significant advancement in modeling the complex interactions between plant functional diversity and climate.
This article is included in the Encyclopedia of Geosciences
Yinglin Tian, Deyu Zhong, Sarosh Alam Ghausi, Guangqian Wang, and Axel Kleidon
Earth Syst. Dynam., 14, 1363–1374, https://doi.org/10.5194/esd-14-1363-2023, https://doi.org/10.5194/esd-14-1363-2023, 2023
Short summary
Short summary
Downward longwave radiation (Rld) is critical for the surface energy budget, but its climatological variation on a global scale is not yet well understood physically. We use a semi-empirical equation derived by Brutsaert (1975) to identify the controlling role that atmospheric heat storage plays in spatiotemporal variations of Rld. Our work helps us to better understand aspects of climate variability, extreme events, and global warming by linking these to the mechanistic contributions of Rld.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon, Gabriele Messori, Somnath Baidya Roy, Ira Didenkulova, and Ning Zeng
Earth Syst. Dynam., 14, 241–242, https://doi.org/10.5194/esd-14-241-2023, https://doi.org/10.5194/esd-14-241-2023, 2023
Sarosh Alam Ghausi, Subimal Ghosh, and Axel Kleidon
Hydrol. Earth Syst. Sci., 26, 4431–4446, https://doi.org/10.5194/hess-26-4431-2022, https://doi.org/10.5194/hess-26-4431-2022, 2022
Short summary
Short summary
The observed response of extreme precipitation to global warming remains unclear with significant regional variations. We show that a large part of this uncertainty can be removed when the imprint of clouds in surface temperatures is removed. We used a thermodynamic systems approach to remove the cloud radiative effect from temperatures. We then found that precipitation extremes intensified with global warming at positive rates which is consistent with physical arguments and model simulations.
This article is included in the Encyclopedia of Geosciences
Samuel Schroers, Olivier Eiff, Axel Kleidon, Ulrike Scherer, Jan Wienhöfer, and Erwin Zehe
Hydrol. Earth Syst. Sci., 26, 3125–3150, https://doi.org/10.5194/hess-26-3125-2022, https://doi.org/10.5194/hess-26-3125-2022, 2022
Short summary
Short summary
In hydrology the formation of landform patterns is of special interest as changing forcings of the natural systems, such as climate or land use, will change these structures. In our study we developed a thermodynamic framework for surface runoff on hillslopes and highlight the differences of energy conversion patterns on two related spatial and temporal scales. The results indicate that surface runoff on hillslopes approaches a maximum power state.
This article is included in the Encyclopedia of Geosciences
Samuel Schroers, Olivier Eiff, Axel Kleidon, Jan Wienhöfer, and Erwin Zehe
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2021-79, https://doi.org/10.5194/hess-2021-79, 2021
Manuscript not accepted for further review
Short summary
Short summary
In this study we ask the basic question why surface runoff forms drainage networks and confluences at all and how structural macro form and micro topography is a result of thermodynamic laws. We find that on a macro level hillslopes should tend from negative exponential towards exponential forms and that on a micro level the formation of rills goes hand in hand with drainage network formation of river basins. We hypothesize that we can learn more about erosion processes if we extend this theory.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Lee M. Miller
Geosci. Model Dev., 13, 4993–5005, https://doi.org/10.5194/gmd-13-4993-2020, https://doi.org/10.5194/gmd-13-4993-2020, 2020
Short summary
Short summary
When winds are used as renewable energy by more and more wind turbines, one needs to account for the effect of wind turbines on the atmospheric flow. The Kinetic Energy Budget of the Atmosphere (KEBA) model provides a simple, physics-based approach to account for this effect very well when compared to much more detailed numerical simulations with an atmospheric model. KEBA should be useful to derive lower, more realistic wind energy resource potentials of different regions.
This article is included in the Encyclopedia of Geosciences
Annu Panwar, Maik Renner, and Axel Kleidon
Hydrol. Earth Syst. Sci., 24, 4923–4942, https://doi.org/10.5194/hess-24-4923-2020, https://doi.org/10.5194/hess-24-4923-2020, 2020
Short summary
Short summary
Here we examine the effect of evaporative cooling across different vegetation types. Evaporation cools surface temperature significantly in short vegetation. In the forest, the high aerodynamic conductance explains 56 % of the reduced surface temperature. Therefore, the main cooling agent in the forest is the high aerodynamic conductance and not evaporation. Additionally, we propose the diurnal variation in surface temperature as being a potential indicator of evaporation in short vegetation.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon, Erwin Zehe, and Ralf Loritz
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2019-52, https://doi.org/10.5194/esd-2019-52, 2019
Manuscript not accepted for further review
Short summary
Short summary
Many fluxes in Earth systems are not homogeneously distributed across space, but occur highly concentrated in structures, such as turbulent eddies, river networks, vascular networks of plants, or human-made infrastructures. Yet, the highly-organized nature of these fluxes is typically only described at a rudimentary level, if at all. We propose that it requires a novel approach to describe these structures that focuses on the work done to build and maintain these structures, and the feedbacks.
This article is included in the Encyclopedia of Geosciences
Ralf Loritz, Axel Kleidon, Conrad Jackisch, Martijn Westhoff, Uwe Ehret, Hoshin Gupta, and Erwin Zehe
Hydrol. Earth Syst. Sci., 23, 3807–3821, https://doi.org/10.5194/hess-23-3807-2019, https://doi.org/10.5194/hess-23-3807-2019, 2019
Short summary
Short summary
In this study, we develop a topographic index explaining hydrological similarity within a energy-centered framework, with the observation that the majority of potential energy is dissipated when rainfall becomes runoff.
This article is included in the Encyclopedia of Geosciences
Philipp Porada, Alexandra Tamm, Jose Raggio, Yafang Cheng, Axel Kleidon, Ulrich Pöschl, and Bettina Weber
Biogeosciences, 16, 2003–2031, https://doi.org/10.5194/bg-16-2003-2019, https://doi.org/10.5194/bg-16-2003-2019, 2019
Short summary
Short summary
The trace gases NO and HONO are crucial for atmospheric chemistry. It has been suggested that biological soil crusts in drylands contribute substantially to global NO and HONO emissions, based on empirical upscaling of laboratory and field observations. Here we apply an alternative, process-based modeling approach to predict these emissions. We find that biological soil crusts emit globally significant amounts of NO and HONO, which also vary depending on the type of biological soil crust.
This article is included in the Encyclopedia of Geosciences
Erwin Zehe, Ralf Loritz, Conrad Jackisch, Martijn Westhoff, Axel Kleidon, Theresa Blume, Sibylle K. Hassler, and Hubert H. Savenije
Hydrol. Earth Syst. Sci., 23, 971–987, https://doi.org/10.5194/hess-23-971-2019, https://doi.org/10.5194/hess-23-971-2019, 2019
Martijn Westhoff, Axel Kleidon, Stan Schymanski, Benjamin Dewals, Femke Nijsse, Maik Renner, Henk Dijkstra, Hisashi Ozawa, Hubert Savenije, Han Dolman, Antoon Meesters, and Erwin Zehe
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2019-6, https://doi.org/10.5194/esd-2019-6, 2019
Publication in ESD not foreseen
Short summary
Short summary
Even models relying on physical laws have parameters that need to be measured or estimated. Thermodynamic optimality principles potentially offer a way to reduce the number of estimated parameters by stating that a system evolves to an optimum state. These principles have been applied successfully within the Earth system, but it is often unclear what to optimize and how. In this review paper we identify commonalities between different successful applications as well as some doubtful applications.
This article is included in the Encyclopedia of Geosciences
Maik Renner, Claire Brenner, Kaniska Mallick, Hans-Dieter Wizemann, Luigi Conte, Ivonne Trebs, Jianhui Wei, Volker Wulfmeyer, Karsten Schulz, and Axel Kleidon
Hydrol. Earth Syst. Sci., 23, 515–535, https://doi.org/10.5194/hess-23-515-2019, https://doi.org/10.5194/hess-23-515-2019, 2019
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We estimate the phase lag of surface states and heat fluxes to incoming solar radiation at the sub-daily timescale. While evapotranspiration reveals a minor phase lag, the vapor pressure deficit used as input by Penman–Monteith approaches shows a large phase lag. The surface-to-air temperature gradient used by energy balance residual approaches shows a small phase shift in agreement with the sensible heat flux and thus explains the better correlation of these models at the sub-daily timescale.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Maik Renner
Earth Syst. Dynam., 9, 1127–1140, https://doi.org/10.5194/esd-9-1127-2018, https://doi.org/10.5194/esd-9-1127-2018, 2018
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Turbulent fluxes represent an efficient way to transport heat and moisture from the surface into the atmosphere. Due to their inherently highly complex nature, they are commonly described by semiempirical relationships. What we show here is that these fluxes can also be predicted by viewing them as the outcome of a heat engine that operates between the warm surface and the cooler atmosphere and that works at its limit.
This article is included in the Encyclopedia of Geosciences
Ralf Loritz, Hoshin Gupta, Conrad Jackisch, Martijn Westhoff, Axel Kleidon, Uwe Ehret, and Erwin Zehe
Hydrol. Earth Syst. Sci., 22, 3663–3684, https://doi.org/10.5194/hess-22-3663-2018, https://doi.org/10.5194/hess-22-3663-2018, 2018
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In this study we explore the role of spatially distributed information on hydrological modeling. For that, we develop and test an approach which draws upon information theory and thermodynamic reasoning. We show that the proposed set of methods provide a powerful framework for understanding and diagnosing how and when process organization and functional similarity of hydrological systems emerge in time and, hence, when which landscape characteristic is important in a model application.
This article is included in the Encyclopedia of Geosciences
Corina Buendía, Axel Kleidon, Stefano Manzoni, Björn Reu, and Amilcare Porporato
Biogeosciences, 15, 279–295, https://doi.org/10.5194/bg-15-279-2018, https://doi.org/10.5194/bg-15-279-2018, 2018
Short summary
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Amazonia is highly biodiverse and of global importance for regulating the climate system. Because soils are highly weathered, phosphorus (P) is suggested to limit ecosystem productivity. Here, we evaluate the importance of P redistribution by animals using a simple mathematical model synthesizing the major processes of the Amazon P cycle. Our findings suggest that food web complexity plays an important role for sustaining the productivity of terra firme forests.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Hubert H. G. Savenije
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-674, https://doi.org/10.5194/hess-2017-674, 2017
Revised manuscript not accepted
Short summary
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At larger scales, the flow of rivers can often be described by a relatively simple, exponential decay, and it is unclear how such simple behaviour can be explained given that river basins show such vast complexity. Here, we use a highly idealised model to show that such simple behaviour can be explained by viewing it as the emergent consequence of the groundwater system (which feeds river flow) minimising its energy dissipation.
This article is included in the Encyclopedia of Geosciences
Axel Kleidon and Maik Renner
Earth Syst. Dynam., 8, 849–864, https://doi.org/10.5194/esd-8-849-2017, https://doi.org/10.5194/esd-8-849-2017, 2017
Short summary
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We provide an explanation why land temperatures respond more strongly to global warming than ocean temperatures, a robust finding in observations and models that has so far not been understood well. We explain it by the different ways by which ocean and land surfaces buffer the strong variation in solar radiation and demonstrate this with a simple, physically based model. Our explanation also illustrates why nighttime temperatures warm more strongly, another robust finding of global warming.
This article is included in the Encyclopedia of Geosciences
Philipp Porada, Ulrich Pöschl, Axel Kleidon, Christian Beer, and Bettina Weber
Biogeosciences, 14, 1593–1602, https://doi.org/10.5194/bg-14-1593-2017, https://doi.org/10.5194/bg-14-1593-2017, 2017
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Lichens and bryophytes have been shown to release nitrous oxide, which is a strong greenhouse gas and atmospheric ozone-depleting agent. Here we apply a process-based computer model of lichens and bryophytes at the global scale, to estimate growth and respiration of the organisms. By relating respiration to nitrous oxide release, we simulate global nitrous oxide emissions of 0.27 (0.19–0.35) Tg yr−1. Moreover, we quantify different sources of uncertainty in nitrous oxide emission rates.
This article is included in the Encyclopedia of Geosciences
Anke Hildebrandt, Axel Kleidon, and Marcel Bechmann
Hydrol. Earth Syst. Sci., 20, 3441–3454, https://doi.org/10.5194/hess-20-3441-2016, https://doi.org/10.5194/hess-20-3441-2016, 2016
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This theoretical paper describes the energy fluxes and dissipation along the flow paths involved in root water uptake, an approach that is rarely taken. We show that this provides useful additional insights for understanding the biotic and abiotic impediments to root water uptake. This approach shall be applied to explore efficient water uptake strategies and help locate the limiting processes in the complex soil–plant–atmosphere system.
This article is included in the Encyclopedia of Geosciences
Maik Renner, Sibylle K. Hassler, Theresa Blume, Markus Weiler, Anke Hildebrandt, Marcus Guderle, Stanislaus J. Schymanski, and Axel Kleidon
Hydrol. Earth Syst. Sci., 20, 2063–2083, https://doi.org/10.5194/hess-20-2063-2016, https://doi.org/10.5194/hess-20-2063-2016, 2016
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We estimated forest transpiration (European beech) along a steep valley cross section. Atmospheric demand, obtained by the thermodynamic limit of maximum power, is the dominant control of transpiration at all sites.
To our surprise we find that transpiration is rather similar across sites with different aspect (north vs. south) and different stand structure due to systematically varying sap velocities. Such a compensation effect is highly relevant for modeling and upscaling of transpiration.
This article is included in the Encyclopedia of Geosciences
E. Zehe, U. Ehret, L. Pfister, T. Blume, B. Schröder, M. Westhoff, C. Jackisch, S. J. Schymanski, M. Weiler, K. Schulz, N. Allroggen, J. Tronicke, L. van Schaik, P. Dietrich, U. Scherer, J. Eccard, V. Wulfmeyer, and A. Kleidon
Hydrol. Earth Syst. Sci., 18, 4635–4655, https://doi.org/10.5194/hess-18-4635-2014, https://doi.org/10.5194/hess-18-4635-2014, 2014
C. Buendía, S. Arens, T. Hickler, S. I. Higgins, P. Porada, and A. Kleidon
Biogeosciences, 11, 3661–3683, https://doi.org/10.5194/bg-11-3661-2014, https://doi.org/10.5194/bg-11-3661-2014, 2014
A. Kleidon, M. Renner, and P. Porada
Hydrol. Earth Syst. Sci., 18, 2201–2218, https://doi.org/10.5194/hess-18-2201-2014, https://doi.org/10.5194/hess-18-2201-2014, 2014
U. Ehret, H. V. Gupta, M. Sivapalan, S. V. Weijs, S. J. Schymanski, G. Blöschl, A. N. Gelfan, C. Harman, A. Kleidon, T. A. Bogaard, D. Wang, T. Wagener, U. Scherer, E. Zehe, M. F. P. Bierkens, G. Di Baldassarre, J. Parajka, L. P. H. van Beek, A. van Griensven, M. C. Westhoff, and H. C. Winsemius
Hydrol. Earth Syst. Sci., 18, 649–671, https://doi.org/10.5194/hess-18-649-2014, https://doi.org/10.5194/hess-18-649-2014, 2014
S. P. K. Bowring, L. M. Miller, L. Ganzeveld, and A. Kleidon
Earth Syst. Dynam., 5, 43–53, https://doi.org/10.5194/esd-5-43-2014, https://doi.org/10.5194/esd-5-43-2014, 2014
A. Kleidon and M. Renner
Earth Syst. Dynam., 4, 455–465, https://doi.org/10.5194/esd-4-455-2013, https://doi.org/10.5194/esd-4-455-2013, 2013
P. Porada, B. Weber, W. Elbert, U. Pöschl, and A. Kleidon
Biogeosciences, 10, 6989–7033, https://doi.org/10.5194/bg-10-6989-2013, https://doi.org/10.5194/bg-10-6989-2013, 2013
E. Zehe, U. Ehret, T. Blume, A. Kleidon, U. Scherer, and M. Westhoff
Hydrol. Earth Syst. Sci., 17, 4297–4322, https://doi.org/10.5194/hess-17-4297-2013, https://doi.org/10.5194/hess-17-4297-2013, 2013
E. Simoncini, N. Virgo, and A. Kleidon
Earth Syst. Dynam., 4, 317–331, https://doi.org/10.5194/esd-4-317-2013, https://doi.org/10.5194/esd-4-317-2013, 2013
A. Kleidon and M. Renner
Hydrol. Earth Syst. Sci., 17, 2873–2892, https://doi.org/10.5194/hess-17-2873-2013, https://doi.org/10.5194/hess-17-2873-2013, 2013
A. Kleidon, E. Zehe, U. Ehret, and U. Scherer
Hydrol. Earth Syst. Sci., 17, 225–251, https://doi.org/10.5194/hess-17-225-2013, https://doi.org/10.5194/hess-17-225-2013, 2013
Related subject area
Topics: Other topics | Interactions: Other interactions | Methods: Earth system and climate modeling
Exploration of diverse solutions for the calibration of imperfect climate models
Saloua Peatier, Benjamin M. Sanderson, and Laurent Terray
Earth Syst. Dynam., 15, 987–1014, https://doi.org/10.5194/esd-15-987-2024, https://doi.org/10.5194/esd-15-987-2024, 2024
Short summary
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The calibration of Earth system model parameters is a high-dimensionality problem subject to data, time, and computational constraints. In this study, we propose a practical solution for finding diverse near-optimal solutions. We argue that the effective degrees of freedom in the model performance response to parameter input is relatively small. Comparably performing parameter configurations exist and showcase different trade-offs in model errors, providing insights for model development.
This article is included in the Encyclopedia of Geosciences
Cited articles
Adler, R., Wang, J.-J., Sapiano, M., Huffman, G., Chiu, L., Xie, P., Ferraro,
R., Schneider, U., Becker, A., Bolvin, D., Nelkin, E., and Gu, G.: NOAA CDR
Program, Global Precipitation Climatology Project (GPCP) Climate Data Record
(CDR), Version 2.3 (Monthly), Tech. Rep., National Centers for Environmental
Information, https://doi.org/10.7289/V56971M6, 2016. a
Aoki, I.: Entropy productions on the Earth and other planets of the solar
system, J. Phys. Soc. Japan, 52, 1075–1078, 1983. a
Arya, S. P.: Introduction to Micrometeorology, Academic Press, San Diego, CA, ISBN 978-0-12-059354-5,
1998. a
Atkins, P. and de Paula, J.: Physical chemistry, Oxford Univ. Press, 9th
edition edn., ISBN 9780198847816, 2010. a
Bejan, A.: Entropy generation minimization: The new thermodynamics of
finite-size devices and finite-time processes, J. Appl. Phys., 79,
1191–1218, 1996. a
Bejan, A.: Advanced Engineering Thermodynamics, Wiley, New York, ISBN 9780471148807, 1997. a
Bejan, A.: Fundamentals of exergy analysis, entropy generation minimization,
and the generation of flow architecture, Int. J. Energy Res., 26, 545–565,
2002. a
Berner, R. A.: The rise of plants and their effect on weathering and
atmospheric CO2, Science, 276, 544–546, 1997. a
Bister, M. and Emanuel, K. A.: Dissipative heating and hurricane intensity,
Meteorol. Atmos. Phys., 65, 233–240, 1998. a
Boltzmann, L.: Der zweite Hauptsatz der mechanischen Wärmetheorie, Almanach
der kaiserlichen Akademie der Wissenschaften, 36, 225–259, 1886. a
Bruers, S.: A discussion on maximum entropy production and information theory,
J. Phys. A, 40, 7441–7450, 2007. a
Buendía, C., Kleidon, A., Manzoni, S., Reu, B., and Porporato, A.: Evaluating the effect of nutrient redistribution by animals on the phosphorus cycle of lowland Amazonia, Biogeosciences, 15, 279–295, https://doi.org/10.5194/bg-15-279-2018, 2018. a
Chapman, E. J., Childers, D. L., and Vallino, J. J.: How the Second Law of
Thermodynamics Has Informed Ecosystem Ecology through Its History,
Bioscience, 66, 27–39, https://doi.org/10.1093/biosci/biv166, 2016. a
Churkina, G. and Running, S. W.: Contrasting climatic controls on the estimated
productivity of global terrestrial biomes, Ecosystems, 1, 206–215,
https://doi.org/10.1007/s100219900016, 1998. a
Conte, L., Renner, M., Brando, P., dos Santos, C. O., Silverio, D., Kolle, O.,
Trumbore, S. E., and Kleidon, A.: Effects of Tropical Deforestation on
Surface Energy Balance Partitioning in Southeastern Amazonia Estimated From
Maximum Convective Power, Geophys. Res. Lett., 46, 4396–4403,
https://doi.org/10.1029/2018GL081625, 2019. a, b, c, d
Cowan, I. R. and Farquhar, G. D.: Stomatal functioning in relation to leaf
metabolism and environment, in: Integration of activity in the higher plants,
edited by Jennings, D. H., Cambridge University Press,
Cambridge, UK, 471–505, 1977. a
Curzon, F. L. and Ahlborn, B.: Efficiency of a Carnot engine at maximum power
output, Am. J. Phys., 43, 22–24, 1975. a
de Bruin, H. A. R., Trigo, I. F., Bosveld, F. C., and Meirink, J. F.: A
Thermodynamically Based Model for Actual Evapotranspiration of an Extensive
Grass Field Close to FAO Reference, Suitable for Remote Sensing Application,
J. Hydrometeorol., 17, 1373–1382, https://doi.org/10.1175/JHM-D-15-0006.1, 2016. a
del Jesus, M., Foti, R., Rinaldo, A., and Rodriguez-Iturbe, I.: Maximum entropy
production, carbon assimilation, and the spatial organization of vegetation
in river basins, P. Natl. Acad. Sci. USA, 109, 20837–20841,
https://doi.org/10.1073/pnas.1218636109, 2012. a
Dewar, R. C.: Information theory explanation of the fluctuation theorem,
Maximum Entropy Production, and self-organized criticality in
non-equilibrium stationary states, J. Phys. A, 36, 631–641, 2003. a
Dewar, R. C.: Maximum Entropy Production and non-equilibrium statistical
mechanics, in: Non-Equilibrium Thermodynamics and the Production of Entropy:
Life, Earth, and Beyond, edited: by Kleidon, A. and Lorenz, R. D., Springer
Verlag, Heidelberg, Germany, 2005a. a
Dewar, R. C.: Maximum entropy production and the fluctuation theorem, J.
Phys. A, 38, 371–381, https://doi.org/10.1088/0305-4470/38/21/L01,
2005b. a
Dhara, C., Renner, M., and Kleidon, A.: Broad climatological variation of
surface energy balance partitioning across land and ocean predicted from the
maximum power limit, Geophys. Res. Lett., 43, 7686–7693,
https://doi.org/10.1002/2016GL070323, 2016. a, b
Duysens, L. N. M.: The Path of Light Energy in Photosynthesis, in: Brookhaven
Symposia in Biology 1: The Photochemical Apparatus, Its Structure &
Function, Brookhaven Natl. Lab., Upton, N.Y., USA, 10–25, 1958. a
Dyke, J. G., Gans, F., and Kleidon, A.: Towards understanding how surface life can affect interior geological processes: a non-equilibrium thermodynamics approach, Earth Syst. Dynam., 2, 139–160, https://doi.org/10.5194/esd-2-139-2011, 2011. a
Emerson, R.: The quantum yield of photosynthesis, Annu. Rev. Plant. Physiol.,
9, 1–24, https://doi.org/10.1146/annurev.pp.09.060158.000245, 1958. a
Enquist, B. J., Brown, J. H., and West, G. B.: Allometric scaling of plant
energetics and population density, Nature, 395, 163–165, 1998. a
Essex, C.: Minimum entropy production in the steady state and radiative
transfer, Astrophys. J., 285, 279–293, 1984. a
Fath, B. D., Patten, B. C., and Choi, J. S.: Complementarity of Ecological Goal
Functions, J. Theor. Biol., 208, 493–506, https://doi.org/10.1006/jtbi.2000.2234,
2001. a
Frank, A., Kleidon, A., and Alberti, M.: Earth as a Hybrid Planet: The
Anthropocene in an Evolutionary Astrobiological Context, Anthropocene, 19,
13–21, https://doi.org/10.1016/j.ancene.2017.08.002, 2017. a
Gerrits, A. M. J., Savenije, H. H. G., Veling, E. J. M., and Pfister, L.:
Analytical derivation of the Budyko curve based on rainfall characteristics
and a simple evaporation model, Water Resour. Res., 45, W04403,
https://doi.org/10.1029/2008WR007308, 2009. a
Ghausi, S. A., Tian, Y., Zehe, E., and Kleidon, A.: Radiative controls by
clouds and thermodynamics shape surface temperatures and turbulent fluxes
over land, P. Natl. Acad. Sci. USA, 120, e2220400120,
https://doi.org/10.1073/pnas.2220400120, 2023. a, b, c
Goody, R.: Sources and sinks of climate entropy, Q. J. R. Meteorol. Soc., 126,
1953–1970, 2000. a
Grinstein, G. and Linsker, R.: Comments on a derivation and application of the
'Maximum Entropy Production' principle., J. Phys. A, 40, 9717–9720, 2007. a
Hall, C. A. S.: The continuing importance of maximum power, Ecol. Mod., 178,
107–113, 2004. a
Held, I. M.: The gap between simulation and understanding in climate modeling,
B. Am. Meteorol. Soc., 86, 1609–1614, https://doi.org/10.1175/BAMS-86-11-1609,
2005. a
Held, I. M. and Soden, B. J.: Robust responses of the hydrological cycle to
global warming, J. Climate, 19, 5686–5699, 2006. a
Herrmann, W. A.: Quantifying global exergy resources, Energy, 31, 1685–1702,
2006. a
Hill, R. and Rich, P. R.: A physical interpretation for the natural
photosynthetic process, P. Natl. Acad. Sci. USA, 80, 978–982, 1983. a
Holdaway, R. J., Sparrow, A. D., and Coomes, D.: Trends in entropy production
during ecosystem development in the Amazon basin, Philos. T. Roy. Soc. B,
365, 1437–1447, 2010. a
Holdridge, L. R.: Determination of world plant formations from simple climatic
data, Science, 105, 367–368, 1947. a
Joergensen, S. E.: Toward a Consistent Pattern of Ecosystem Theories,
Sci. World, 1, 71–75, https://doi.org/10.1100/tsw.2001.15, 2001. a
Jupp, T. E. and Cox, P. M.: MEP and planetary climates: insights from a two-box
climate model containing atmospheric dynamics, Philos. T. Roy. Soc. B, 365,
1355–1365, 2010. a
Kabelac, S.: Thermodynamik der Strahlung, Vieweg, Braunschweig and Wiesbaden,
ISBN 978-3-663-12474-0, 1994. a
Kasting, J. F. and Catling, D.: Evolution of a habitable planet, Annu. Rev.
Astron. Astrophys., 41, 429–463, 2003. a
Kato, S., Rose, F. G., Rutan, D. A., Thorsen, T. J., Loeb, N. G., Doelling,
D. R., Huang, X., Smith, W. L., Su, W., and Ham, S.-H.: Surface Irradiances
of Edition 4.0 Clouds and the Earth's Radiant Energy System (CERES) Energy
Balanced and Filled (EBAF) Data Product, J. Climate, 31, 4501–4527,
https://doi.org/10.1175/JCLI-D-17-0523.1, 2018. a, b, c, d
Katul, G. G., Palmroth, S., and Oren, R.: Leaf stomatal responses to vapour
pressure deficit under current and CO2-enriched atmosphere explained by the
economics of gas exchange, Plant Cell Env., 32, 968–979,
https://doi.org/10.1111/j.1365-3040.2009.01977.x, 2009. a
Kleidon, A.: Life, Hierarchy, and the Thermodynamic Machinery of Planet
Earth, Phys. Life Rev., 7, 424–460, 2010. a
Kleidon, A.: How does the Earth system generate and maintain thermodynamic
disequilibrium and what does it imply for the future of the planet?, Philos. T. Roy. Soc. A, 370, 1012–1040, 2012. a
Kleidon, A.: Sustaining the terrestrial biosphere in the Anthropocene: a
thermodynamic Earth system perspective, Ecology, Economy and Society – the
INSEE Journal, 6, 53–80,
https://doi.org/10.37773/ees.v6i1.915, 2023a. a, b
Kleidon, A.: Understanding the Earth as a Whole System: From the Gaia
Hypothesis to Thermodynamic Optimality and Human Societies, in: Kosmos. Vom
Umgang mit der Welt zwischen Ausdruck und Ordnung, edited by: König, P. and
Schlaudt, O., Heidelberg Univ. Press, 417–446,
https://doi.org/10.17885/heiup.857.c15266,
2023b. a, b
Kleidon, A. and Heimann, M.: A method of determining rooting depth from a
terrestrial biosphere model and its impacts on the global water- and carbon
cycle, Global Change Biol., 4, 275–286, 1998. a
Kleidon, A. and Renner, M.: Thermodynamic limits of hydrologic cycling within the Earth system: concepts, estimates and implications, Hydrol. Earth Syst. Sci., 17, 2873–2892, https://doi.org/10.5194/hess-17-2873-2013, 2013. a. a, b, c
Kleidon, A. and Renner, M.: A simple explanation for the sensitivity of the hydrologic cycle to surface temperature and solar radiation and its implications for global climate change, Earth Syst. Dynam., 4, 455–465, https://doi.org/10.5194/esd-4-455-2013, 2013b. a, b, c, d
Kleidon, A. and Renner, M.: An explanation for the different climate sensitivities of land and ocean surfaces based on the diurnal cycle, Earth Syst. Dynam., 8, 849–864, https://doi.org/10.5194/esd-8-849-2017, 2017. a, b
Kleidon, A. and Renner, M.: Diurnal land surface energy balance partitioning estimated from the thermodynamic limit of a cold heat engine, Earth Syst. Dynam., 9, 1127–1140, https://doi.org/10.5194/esd-9-1127-2018, 2018. a
Kleidon, A. and Schymanski, S.: Thermodynamics and optimality of the water
budget on land: A review, Geophys. Res. Lett., 35, L20404,
https://doi.org/10.1029/2008GL035393, 2008. a, b
Kleidon, A., Fraedrich, K., Kunz, T., and Lunkeit, F.: The atmospheric
circulation and states of maximum entropy production, Geophys. Res. Lett.,
30, 2223, https://doi.org/10.1029/2003GL018363, 2003. a, b
Kleidon, A., Fraedrich, K., Kirk, E., and Lunkeit, F.: Maximum Entropy
Production and the Strength of Boundary Layer Exchange in an Atmospheric
General Circulation Model, Geophys. Res. Lett., 33, L06706,
https://doi.org/10.1029/2005GL025373, 2006. a, b
Kleidon, A., Zehe, E., Ehret, U., and Scherer, U.: Thermodynamics, maximum power, and the dynamics of preferential river flow structures at the continental scale, Hydrol. Earth Syst. Sci., 17, 225–251, https://doi.org/10.5194/hess-17-225-2013, 2013. a, b
Kleidon, A., Renner, M., and Porada, P.: Estimates of the climatological land surface energy and water balance derived from maximum convective power, Hydrol. Earth Syst. Sci., 18, 2201–2218, https://doi.org/10.5194/hess-18-2201-2014, 2014. a
Kleidon, A., Kravitz, B., and Renner, M.: The hydrological sensitivity to
global warming and solar geoengineering derived from thermodynamic
constraints, Geophys. Res. Lett., 42, 138–144, https://doi.org/10.1002/2014GL062589, 2015. a, b
Koeppen, W.: Versuch einer Klassifikation der Klimate, vorzugsweise nach ihren
Beziehungen zur Pflanzenwelt, Geogr. Z., 6, 593–611,
https://www.jstor.org/stable/27803924 (last access: 23 August 2023), 1900. a
Koll, D. D. B. and Cronin, T. W.: Earth's outgoing longwave radiation linear
due to H2O greenhouse effect, P. Natl. Acad. Sci. USA, 115,
10293–10298, 2018. a
Koster, R. D. and Suarez, M. J.: A Simple Framework for Examining the
Interannual Variability of Land Surface Moisture Fluxes, J. Climate, 12,
1911–1917, 1999. a
Laliberte, F., Zika, J., Mudryk, L., Kushner, P. J., Kjellsson, J., and
Döös, K.: Constrained work output of the moist atmospheric heat engine in
a warming climate, Science, 347, 540–543, https://doi.org/10.1126/science.1257103,
2015. a
Law, B. E., Falge, E., Gu, L., Baldocchi, D. D., Bakwin, P., Berbigier, P.,
Davis, K., Dolman, A. J., Falk, M., Fuentes, J. D., Goldstein, A., Granier,
A., Grelle, A., Hollinger, D., Janssens, I. A., Jarvis, P., Jensen, N. O.,
Katul, G., Malhi, Y., Matteucci, G., Meyers, T., Monson, R., Munger, W.,
Oechel, W., Olson, R., Pilegaard, K., U, K. T. P., Thorgeirsson, H.,
Valentini, R., Verman, S., Vesala, T., Wilson, K., and Wofsy, S.:
Environmental controls over carbon dioxide and water vapor exchange of
terrestrial vegetation, Agr. For. Meteor., 113, 97–120, 2002. a, b
Lembo, V., Lunkeit, F., and Lucarini, V.: TheDiaTo (v1.0) – a new diagnostic tool for water, energy and entropy budgets in climate models, Geosci. Model Dev., 12, 3805–3834, https://doi.org/10.5194/gmd-12-3805-2019, 2019. a
Li, G., Harrison, S. P., Bartlein, P. J., Izumi, K., and Prentice, I. C.:
Precipitation scaling with temperature in warm and cold climates: An analysis
of CMIP5 simulations, Geophys. Res. Lett., 40, 4018–4024,
https://doi.org/10.1002/grl.50730, 2013. a
Li, J., Chylek, P., and Lesins, G. B.: entropy in climate models, 1. Vertical
structure of atmospheric entropy production, J. Atmos. Sci., 51, 1691–1701, 1994. a
Li, L., Ingersoll, A. P., Jiang, X., Feldman, D., and Yung, Y. L.: Lorenz
energy cycle of the global atmosphere based on reanalysis datasets, Geophys.
Res. Lett., 34, L16813, https://doi.org/10.1029/2007GL029985, 2007. a
Lin, H.: Linking principles of soil formation and flow regimes, J. Hydrol., 393, 3–19, https://doi.org/10.1016/j.jhydrol.2010.02.013, 2010. a
Lin, Y.-S., Medlyn, B. E., Duursma, R. A., Prentice, I. C., Wang, H., Baig, S.,
Eamus, D., de Dios, V. R., Mitchell, P., Ellsworth, D. S., de Beeck, M. O.,
Wallin, G., Uddling, J., Tarvainen, L., Linderson, M.-L., Cernusak, L. A.,
Nippert, J. B., Ocheltree, T. W., Tissue, D. T., Martin-StPaul, N. K.,
Rogers, A., Warren, J. M., De Angelis, P., Hikosaka, K., Han, Q., Onoda, Y.,
Gimeno, T. E., Barton, C. V. M., Bennie, J., Bonal, D., Bosc, A., Löw,
M., Macinins-Ng, C., Rey, A., Rowland, L., Setterfield, S. A., Tausz-Posch,
S., Zaragoza-Castells, J., Broadmeadow, M. S. J., Drake, J. E., Freeman, M.,
Ghannoum, O., Hutley, L. B., Kelly, J. W., Kikuzawa, K., Kolari, P., Koyama,
K., Limousin, J.-M., Meir, P., Lola da Costa, A. C., Mikkelsen, T. N.,
Salinas, N., Sun, W., and Wingate, L.: Optimal stomatal behaviour around the
world, Nat. Clim. Change, 5, 459–464, https://doi.org/10.1038/nclimate2550, 2015. a
Lineweaver, C. H. and Egan, C. A.: Life, gravity and the second law of
thermodynamics, Phys. Life Rev., 5, 225–242, 2008. a
Loeb, N. G., Doelling, D. R., Wang, H., Su, W., Nguyen, C., Corbett, J. G.,
Liang, L., Mitrescu, C., Rose, F. G., and Kato, S.: Clouds and the Earth's
Radiant Energy System (CERES) Energy Balanced and Filled (EBAF) Top-of-
Atmosphere (TOA) Edition 4.0 Data Product, J. Climate, 31, 895–918,
https://doi.org/10.1175/JCLI-D-17-0208.1, 2018. a, b, c, d
Lorenz, E. N.: Available potential energy and the maintenance of the general
circulation, Tellus, 7, 157–167, 1955. a
Lorenz, E. N.: Generation of available potential energy and the intensity of
the general circulation, in: Dynamics of Climate, edited by: Pfeffer, R. C.,
86–92, Pergamon Press, Oxford, UK, ISBN 978-1-4831-9890-3, 1960. a
Lorenz, E. N.: The Nature and Theory of the General Circulation of the
Atmosphere, WMO, Geneva, https://library.wmo.int/doc_num.php?explnum_id=10889 (last access: 23 August 2023), 1967. a
Lotka, A. J.: Elements of physical biology, Williams and Wilkins, Baltimore,
USA, https://archive.org/details/elementsofphysic017171mbp/mode/2up (last access: 23 August 2023), 1925. a
Lovelock, J. E.: A Physical Basis for Life Detection Experiments, Nature, 207,
568–570, 1965. a
Lovelock, J. E.: Gaia as Seen Through the Atmosphere, Atmos. Environ., 6,
579–580, 1972a. a
Lovelock, J. E.: Gaia: A New Look at Life on Earth, Oxford University Press,
Oxford, UK, ISBN 9780198784883, 1972b. a
Margules, M.: Über die Energie der Stürme, Jahrb. Zentralanst. Meteorol.,
40, 1–26, 1905. a
Martens, B., Miralles, D. G., Lievens, H., van der Schalie, R., de Jeu, R. A. M., Fernández-Prieto, D., Beck, H. E., Dorigo, W. A., and Verhoest, N. E. C.: GLEAM v3: satellite-based land evaporation and root-zone soil moisture, Geosci. Model Dev., 10, 1903–1925, https://doi.org/10.5194/gmd-10-1903-2017, 2017. a, b
McNaughton, S. J.: Grazing as an optimization process: grass-ungulate
relationships in the Serengeti, Am. Nat., 113, 691–703, 1979. a
Medlyn, B. E., Duursma, R. A., Eamus, D., Ellsworth, D. S., Prentice, I. C.,
Barton, C. V. M., Crous, K. Y., de Angelis, P., Freemand, M., and Wingate,
L.: Reconciling the optimal and empirical approaches to modelling stomatal
conductance, Global Change Biol., 17, 2134–2144,
https://doi.org/10.1111/j.1365-2486.2010.02375.x, 2011. a
Miguez-Macho, G. and Fan, Y.: The role of groundwater in the Amazon water
cycle: 2. Influence on seasonal soil moisture and evapotranspiration, J.
Geophys. Res., 117, D15114, https://doi.org/10.1029/2012JD017540, 2012. a
Miller, L. M. and Kleidon, A.: Wind speed reductions by large-scale wind
turbine deployments lower turbine efficiencies and set low generation limits,
P. Natl. Acad. Sci. USA, 113, 13570–13575,
https://doi.org/10.1073/pnas.1602253113, 2016. a
Miller, L. M., Gans, F., and Kleidon, A.: Estimating maximum global land surface wind power extractability and associated climatic consequences, Earth Syst. Dynam., 2, 1–12, https://doi.org/10.5194/esd-2-1-2011, 2011. a
Milly, P. C. D.: Climate, soil water storage, and the average annual water
balance, Water Resour. Res., 30, 2143–2156, 1994. a
Miralles, D. G., Holmes, T. R. H., De Jeu, R. A. M., Gash, J. H., Meesters, A. G. C. A., and Dolman, A. J.: Global land-surface evaporation estimated from satellite-based observations, Hydrol. Earth Syst. Sci., 15, 453–469, https://doi.org/10.5194/hess-15-453-2011, 2011. a, b
Monteith, J. L.: Light distribution and photosynthesis in field crops, Ann.
Bot., 29, 17–37, 1965. a
Nepstad, D. C., de Carvalho, C. R., Davidson, E. A., Jipp, P. H., Lefebvre,
P. A., Negreiros, H. G., da Silva, E. D., Stone, T. A., Trumbore, S. E., and
Vieira, S.: The role of deep roots in the hydrological and carbon cycles of
Amazon forests and pastures, Nature, 372, 666–669, 1994. a
Nielsen, S. N., Müller, F., Marques, J. C., Bastianoni, S., and Joergensen,
S. E.: Thermodynamics in Ecology – An Introductory Review, Entropy, 22, 820,
https://doi.org/10.3390/e22080820, 2020. a
Odum, H. T.: Self-organization, transformity, and information, Science, 242,
1132–1139, 1988. a
Ott, L.: GEOS-Carb CASA-GFED 3-Hourly Ecosystem Exchange Fluxes 0.5 Degree x
0.625 Degree, Tech. Rep., Goddard Earth Sciences Data and Information
Services Center (GES DISC), Greenbelt, MD, USA, https://doi.org/10.5067/VQPRALE26L20,
2020. a, b
Ozawa, H., Ohmura, A., Lorenz, R. D., and Pujol, T.: The second law of
thermodynamics and the global climate system – A review of the Maximum
Entropy Production principle, Rev. Geophys., 41, 1018, https://doi.org/10.1029/2002RG000113, 2003. a
Paltridge, G. W.: Climate and thermodynamic systems of maximum dissipation,
Nature, 279, 630–631, 1979. a
Pascale, S., Gregory, J. M., Ambaum, M. H. P., Tailleux, R., and Lucarini, V.: Vertical and horizontal processes in the global atmosphere and the maximum entropy production conjecture, Earth Syst. Dynam., 3, 19–32, https://doi.org/10.5194/esd-3-19-2012, 2012. a
Pauluis, O. and Held, I. M.: Entropy budget of an atmosphere in radiative
convective equilibrium. Part II: Latent heat transport and moist
processes, J. Atmos. Sci., 59, 140–149, 2002b. a
Peixoto, J. P. and Oort, A. H.: Physics of Climate, American Institute of
Physics, New York, NY, https://doi.org/978-0-88318-712-8,
1992. a
Peixoto, J. P., Oort, A. H., de Almeida, M., and Tome, A.: Entropy budget of
the atmosphere, J. Geophys. Res., 96, 10981–10988, 1991. a
Penman, H. L.: Natural evaporation from open water, bare soil, and grass, P.
R. Soc. London A, 193, 120–146, 1948. a
Petela, R.: Exergy of heat radiation, J. Heat Transfer, 86, 187–192, 1964. a
Porada, P., Kleidon, A., and Schymanski, S. J.: Entropy production of soil hydrological processes and its maximisation, Earth Syst. Dynam., 2, 179–190, https://doi.org/10.5194/esd-2-179-2011, 2011. a
Prentice, I. C., Cramer, W., Harrison, S. P., Leemans, R., Monserud, R. A., and
Solomon, A. M.: A global biome model based on plant physiology and dominance,
soil properties and climate, J. Biogeography, 19, 117–134, 1992. a
Prigogine, I.: Introduction to Thermodynamics of Irreversible Processes,
Thournes, Chicago, 1955. a
Radmer, R. and Kok, B.: Photosynthesis: limited yields, unlimited dreams,
Bioscience, 27, 599–605, 1977. a
Randerson, J., van der Werf, G., Giglio, L., Collatz, G., and Kasibhatla, P.:
Global Fire Emissions Database, Version 4.1 (GFEDv4), Tech. Rep., ORNL DAAC,
Oak Ridge, Tennessee, USA, https://doi.org/10.3334/ORNLDAAC/1293, 2017. a, b
Rant, Z.: Exergie, ein neues Wort für “technische Arbeitsfähigkeit”, Forsch.
Ing.-Wes., 22, 36–37, https://doi.org/10.1007/BF02592661, 1956. a
Raymond, D. J.: Sources and sinks of entropy in the atmosphere, J. Adv. Model.
Earth Syst., 5, 755–763, https://doi.org/10.1002/jame.20050, 2013. a
Rinaldo, A., Maritan, A., Colaiori, F., Flammini, A., Rigon, R.,
Rodriguez-Iturbe, I., and Banavar, J. R.: Thermodynamics of fractal networks,
Phys. Rev. Lett., 76, 3364–3367, 1996. a
Roderick, M. L., Sun, F., Lim, W. H., and Farquhar, G. D.: A general framework for understanding the response of the water cycle to global warming over land and ocean, Hydrol. Earth Syst. Sci., 18, 1575–1589, https://doi.org/10.5194/hess-18-1575-2014, 2014. a
Rosen, M. A. and Scott, D. S.: Entropy production and exergy destruction: Part
I – hierarchy of Earth's major constituencies, Int. J. Hydrog. Energ., 28,
1307–1313, 2003. a
Rubin, D. M. and Hunter, R. E.: Bedform alignment in directionally varying
flows, Science, 237, 276–278, 1987. a
Savenije, H. H. G. and Hrachowitz, M.: HESS Opinions “Catchments as meta-organisms – a new blueprint for hydrological modelling”, Hydrol. Earth Syst. Sci., 21, 1107–1116, https://doi.org/10.5194/hess-21-1107-2017, 2017. a
Schimel, D., Stephens, B. B., and Fisher, J. B.: Effect of increasing CO2 on
the terrestrial carbon cycle, P. Natl. Acad. Sci. USA, 112, 436–441,
https://doi.org/10.1073/pnas.1407302112, 2015. a
Schmidt, W.: Strahlung und Verdunstung an freien Wasserflächen; ein Beitrag
zum Wärmehaushalt des Weltmeeres und zum Wasserhaushalt der Erde, Ann. d.
Hydrogr. Maritimen Meteorol., 43, 111–178, 1915. a
Schneider, E. D. and Kay, J. J.: Life as a manifestation of the second law of
thermodynamics, Math. Comput. Model., 19, 25–48, 1994. a
Schrödinger, E.: What is Life? The physical aspect of the living cell,
Cambridge University Press, Cambridge, UK, https://doi.org/10.1017/CBO9781139644129, 1944. a
Schwartzman, D. W. and Volk, T.: Biotic enhancement of weathering and the
habitability of Earth, Nature, 340, 457–460, 1989. a
Schymanski, S. J., Kleidon, A., Stieglitz, M., and Narula, J.: Maximum entropy
production allows a simple representation of heterogeneity in semiarid
ecosystems, Philos. T. Roy. Soc. B, 365, 1449–1455,
https://doi.org/10.1098/rstb.2009.0309,
2010. a
Singh, M. S. and O'Neill, M. E.: The climate system and the second law of
thermodynamics, Rev. Mod. Phys., 94, https://doi.org/10.1103/RevModPhys.94.015001,
2022. a
Slayter, R. O. and McIlroy, I. C.: Practical Micrometeorology, CSIRO,
Melbourne, Australia, 310 pp., 1961. a
Tailleux, R.: Entropy versus APE production: On the buoyancy input in the
oceans energy cycle, Geophys. Res. Lett., 37, L22603, https://doi.org/10.1029/2010GL044962, 2010. a
Tailleux, R.: Available Potential Energy and exergy in stratified fluids, Annu.
Rev. Fluid Mech., 45, 35–58, 2013. a
Takahashi, K.: Radiative constraints on the hydrological cycle in an idealized
radiative-convective equilibrium model, J. Atmos. Sci., 66, 77–91, 2009. a
Tu, Z., Yang, Y., and Roderick, M. L.: Testing a maximum evaporation theory over saturated land: implications for potential evaporation estimation, Hydrol. Earth Syst. Sci., 26, 1745–1754, https://doi.org/10.5194/hess-26-1745-2022, 2022. a
Ulanowicz, R. E. and Hannon, B. M.: Life and the production of entropy, Proc.
R. Soc. Lond. B, 232, 181–192, 1987. a
Vallino, J. J. and Algar, C. K.: The thermodynamics of marine biogeochemical
cycles: Lotka revisited, Annu. Rev. Mar. Sci., 8, 333–356,
https://doi.org/10.1146/annurev-marine-010814-015843, 2016. a
Vanni, M. J.: Nutrient cycling by animals in freshwater ecosystems, Annu. Rev.
Ecol. Syst., 33, 341–370, 2002. a
Volk, T. and Pauluis, O.: It is not the entropy you produce, rather, how you
produce it, Philos. T. Roy. Soc. B, 365, 1317–1322, 2010. a
von Humboldt, A.: Kosmos. Entwurf einer physischen Weltanschauung, J. G Cotta,
Stuttgart, https://www.deutschestextarchiv.de/book/show/humboldt_kosmos02_1847
(last access: 23 August 2023), 1845. a
Wang, J. and Bras, R. L.: A model of evapotranspiration based on the theory of
maximum entropy production, Water Resour. Res., 47, W03521, https://doi.org/10.1029/2010WR009392, 2011.
a
Wang, J., Salvucci, G. D., and Bras, R. L.: An extremum principle of
evaporation, Water Resour. Res., 40, 2004. a
Wang, J., Bras, R. L., Lerdau, M., and Salvucci, G. D.: A maximum hypothesis of
transpiration, J. Geophys. Res., 112, https://doi.org/10.1029/2006JG000255, 2007. a
Wang-Erlandsson, L., Bastiaanssen, W. G. M., Gao, H., Jägermeyr, J., Senay, G. B., van Dijk, A. I. J. M., Guerschman, J. P., Keys, P. W., Gordon, L. J., and Savenije, H. H. G.: Global root zone storage capacity from satellite-based evaporation, Hydrol. Earth Syst. Sci., 20, 1459–1481, https://doi.org/10.5194/hess-20-1459-2016, 2016. a
West, G. B., Brown, J. H., and Enquist, B. J.: A general model for the origin
of allometric scaling laws in biology, Science, 276, 122–126, 1997. a
Whittaker, R. H.: Classification of natural communities, Bot. Rev., 28, 1–239,
1962. a
Wolf, A., Doughty, C. E., and Malhi, Y.: Lateral Diffusion of Nutrients by
Mammalian Herbivores in Terrestrial Ecosystems, PLOS ONE, 8, e71352,
https://doi.org/10.1371/journal.pone.0071352, 2013. a
Wu, W. and Liu, Y.: Radiation entropy flux and entropy production of the Earth
system, Rev. Geophys., 48, RG2003, https://doi.org/10.1029/2008RG000275, 2010. a
Yang, Y. and Roderick, M. L.: Radiation, surface temperature and evaporation
over wet surfaces, Q. J. R. Meteorol. Soc., 145, 1118–1129,
https://doi.org/10.1002/qj.3481, 2019. a
Zehe, E., Ehret, U., Blume, T., Kleidon, A., Scherer, U., and Westhoff, M.: A thermodynamic approach to link self-organization, preferential flow and rainfall–runoff behaviour, Hydrol. Earth Syst. Sci., 17, 4297–4322, https://doi.org/10.5194/hess-17-4297-2013, 2013. a
Zhang, Z. and Savenije, H.: Maximum power of saline and fresh water mixing in estuaries, Earth Syst. Dynam., 10, 667–684, https://doi.org/10.5194/esd-10-667-2019, 2019. a
Short summary
The second law of thermodynamics has long intrigued scientists, but what role does it play in the Earth system? This review shows that its main role is that it shapes the conversion of sunlight into work. This work can then maintain the dynamics of the physical climate system, the biosphere, and human societies. The relevance of it is that apparently many processes work at their limits, directly or indirectly, so they become predictable by simple means.
The second law of thermodynamics has long intrigued scientists, but what role does it play in...
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