Redfield revisited: 2. What regulates the oxygen content of the atmosphere?

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Baptism by fire: the pivotal role of ancient conflagrations in evolution of the Earth's flora (2018, background): “Initially, the development of fireprone systems was not controlled by a drying climate, but rather by changing levels of atmospheric O2 [76], as highO2 allows even soddenvegetation to burn [77].”
Biotic enhancement of weathering, atmospheric oxygen and carbon dioxide in the Neoproterozoic (2003, methodology): “However, this choice does not affect the steady state solution for O2 [Lenton and Watson, 2000a].”
The impacts of land plant evolution on Earth's climate and oxygenation state – An interdisciplinary review (2020, background): “Earth's long-term O2 cycle is considered tightly coupled to the marine carbon and phosphorous cycles (Cappellen and Ingall, 1996; Kump, 1988; Lenton and Watson, 2000).”