Planetary emittance and feedback parameters through varying climates in basic modelling

Abstract

In search for reproducibility of the results from sophisticated scientific research, the present work focuses on the planetary (longwave) emittance variabilities. A simple model appears applicable through the entire range from very cold to extremely warm climates and for different climate driving forces, i.e. solar luminosity variation and CO2 concentration change. The results interrelate effects from lapse rate, water vapor, CO2, and clouds for equilibrium climate states. Feedback parameters are analysed for the emittance decomposition into the atmospheric window, clouds, and the cloud-free atmosphere. A view is devoted to the faint young Sun problem.

The climate roles of H2O and CO2 from longwave absorption

“…With the temperature dependence of the collisional rate constant (roughly a decrease by a factor of 10 from the ground to 20 km altitude [12,15]) and with the given densities at 20 km altitude, the lifetime from N 2 collision relaxation is estimated to 3 ms. From this -rst orderconsideration, emission to space from the given CO 2 band is not expected below 20 km altitude. This is consistent with simple modelling results on the planetary emittance [10] where emittance from CO 2 starts at about 20 km for cold, low-concentration conditions.…”

“…As outlined in [9], the proportionality scheme is consistent with energy budget considerations, there corresponding with the longwave radiation from the atmosphere to the surface. Furthermore, the proportionality scheme is consistent with simpli ed planetary emittance modelling over a wide range of climates and up to 4 billion years of history [10].…”

Climate change through the essentials–nature's offering and humankind's sine qua non

“…The present study strongly supports this proportionality on the basis of the extraordinary consistency throughout a series of quantitative considerations: covering a diversity of phases through Earth's history [the past 800,000 years, the period of 35-50 million years ago, the past 400 million years (Anderl, 2021a), the period one to four billion years ago with the potential to resolve the faint young Sun paradox (Anderl, 2021b)] and a series of interrelated properties of nature [surface temperature, longwave emittance to space (Anderl, 2021b), energy budget (Anderl, 2021c), ocean heating (Anderl, 2022a), cloud feedback (Anderl, 2021b)]. The proportionality contrasts, however, the common concept of CO 2 longwave absorption to run in saturation mode.…”

“…Detailed analysis has been performed on a series of aspects with the focus to uncover reproducibility of the results from sophisticated research since transparency is regarded key to facilitating common understanding (Anderl, 2021a(Anderl, ,b,c,d, 2022a. The covered topics are in brief: reading the temperature contribution of atmospheric CO 2 for equilibrium climate states from paleo-data (Anderl, 2021a); revealing near-proportionality of this temperature contribution to the atmospheric concentrations of CO 2 and associated H 2 O (Anderl, 2022a); quantifying the cooling effects of CO 2 and H 2 O by simple modeling (Anderl, 2021b); decomposing equilibrium climate states within Earth's energy budget (Anderl, 2021c); consolidating CO 2 emissions data by contributing sector (Anderl, 2021d); projecting the atmospheric CO 2 concentration on the millennium time scale (Anderl, 2022b); disentangling the CO 2 emissions from land use change to detect mitigation potentials (Anderl, 2022c); estimating the transition cost for the zero-CO 2 world (Anderl, 2022d). The present article synthesizes the essentials viewed required to form a common information base.…”