Explicit solution of fractional order atmosphere-soil-land plant carbon cycle system

2021 ◽  
Vol 48 ◽  
pp. 100966
Author(s):  
Tanfer Tanriverdi ◽  
Haci Mehmet Baskonus ◽  
Adnan Ahmad Mahmud ◽  
Kalsum Abdulrahman Muhamad
2016 ◽  
Vol 8 (4) ◽  
pp. 303
Author(s):  
Min Fu ◽  
Lixin Tian ◽  
Gaogao Dong ◽  
Ruijin Du ◽  
Peipei Zhou ◽  
...  

2020 ◽  
Author(s):  
Peter Cox

<p>Earth System Models (ESMs) are designed to project changes in the climate-carbon cycle system over the coming centuries. These models agree that the climate will change significantly under feasible scenarios of future CO<sub>2</sub>emissions. However, model projections still cover a wide range for any given scenario, which impedes progress on tackling climate change. Estimates of the Transient Climate Response to Emissions (TCRE), and therefore of remaining carbon budgets, are affected by uncertainties in the response of land and ocean carbon sinks to changes in climate and CO<sub>2</sub>, and also by continuing uncertainties in the sensitivity of climate to radiative forcing. Over the last 7 years Emergent Constraints have been proposed on many of the key uncertainties. Emergent constraints use the full range of model behaviours to find relationships between measureable aspects of present and past climates, and future climate projections. This presentation will summarise proposed emergent constraints of relevance to future climate-carbon cycle projections, and discuss the implications for the remaining carbon budgets for stabilisation at 1.5K and 2K.</p>


2020 ◽  
Vol 4 (3) ◽  
pp. 44
Author(s):  
Caterina Balzotti ◽  
Mirko D’Ovidio ◽  
Paola Loreti

In this paper, we consider the fractional SIS (susceptible-infectious-susceptible) epidemic model (α-SIS model) in the case of constant population size. We provide a representation of the explicit solution to the fractional model and we illustrate the results by numerical schemes. A comparison with the limit case when the fractional order α converges to 1 (the SIS model) is also given. We analyze the effects of the fractional derivatives by comparing the SIS and the α-SIS models.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Wolfgang Ruebsam ◽  
Matías Reolid ◽  
Lorenz Schwark

AbstractThroughout Earth’s history, variations in atmospheric CO2 concentration modulated climate. Understanding changes in atmospheric carbon cycle is therefore pivotal in predicting consequences of recent global warming. Here, we report stable carbon isotopes (δ13C) of molecular land plant fossils complemented by bulk organic and inorganic carbon fractions for early Toarcian (Early Jurassic) sediments that coincided with global warming and a carbon cycle perturbation. The carbon cycle perturbation is expressed by a negative excursion in the δ13C records established for the different substrates. Based on differences in the magnitude of the carbon isotope excursion recorded in land plants and marine substrates we infer that the early Toarcian warming was paralleled by an increase in atmospheric CO2 levels from ~500 ppmv to ~1000 ppmv. Our data suggest that rising atmospheric CO2 levels resulted from the injection of  12C-enriched methane and its subsequent oxidation to CO2. Based on the cyclic nature of the CIE we concluded that methane was released from climate sensitive reservoirs, in particular permafrost areas. Moderate volcanic CO2 emissions led to a destabilization of the labile permafrost carbon pool triggering the onset of Toarcian climate change only. The main carbon cycle perturbation then subsequently was driven by a self-sustained demise of a carbon-rich cryosphere progressing from mid to high latitudes as reflected by latitudinal climate gradients recorded in land plant carbon isotopes.


2020 ◽  
Vol 11 (1) ◽  
Author(s):  
David De Vleeschouwer ◽  
Anna Joy Drury ◽  
Maximilian Vahlenkamp ◽  
Fiona Rochholz ◽  
Diederik Liebrand ◽  
...  

Abstract The International Ocean Discovery Programme (IODP) and its predecessors generated a treasure trove of Cenozoic climate and carbon cycle dynamics. Yet, it remains unclear how climate and carbon cycle interacted under changing geologic boundary conditions. Here, we present the carbon isotope (δ13C) megasplice, documenting deep-ocean δ13C evolution since 35 million years ago (Ma). We juxtapose the δ13C megasplice with its δ18O counterpart and determine their phase-difference on ~100-kyr eccentricity timescales. This analysis reveals that 2.4-Myr eccentricity cycles modulate the δ13C-δ18O phase relationship throughout the Oligo-Miocene (34-6 Ma), potentially through changes in continental weathering. At 6 Ma, a striking switch from in-phase to anti-phase behaviour occurs, signalling a reorganization of the climate-carbon cycle system. We hypothesize that this transition is consistent with Arctic cooling: Prior to 6 Ma, low-latitude continental carbon reservoirs expanded during astronomically-forced cool spells. After 6 Ma, however, continental carbon reservoirs contract rather than expand during cold periods due to competing effects between Arctic biomes (ice, tundra, taiga). We conclude that, on geologic timescales, System Earth experienced state-dependent modes of climate–carbon cycle interaction.


2021 ◽  
Vol 31 (12) ◽  
pp. 121102
Author(s):  
Wei Wei ◽  
Jianyu Hu ◽  
Jianyu Chen ◽  
Jinqiao Duan
Keyword(s):  

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