An eddy covariance theory of using O₂ to CO₂ exchange ratio to constrain measurements of net ecosystem exchange of any gas species

A new eddy covariance theory is proposed. The new theory is based on ecosystem O₂ to CO₂ exchange ratio. The fundamental equation of eddy covariance for the new theory is derived. The advantages of the new theory over the current theory are discussed. Ways to testing the new theory are suggested. After many decades of efforts, it remains a challenge to accurately measure mass and energy exchanges between biosphere and atmosphere. The widely used, dry air-based eddy covariance (EC) approach underestimates surface net available energy and nighttime ecosystem respiration and reports photosynthesis under conditions when none should occur. So far many explanations for these problems have been suggested but convincing evidence and reliable solutions have yet to be found. There is a need for critical thinking about the very foundation of current EC theory and for fundamentally different ways of making flux measurements. Here I propose a new EC theory that constrains measurements of net ecosystem exchange (NEE) of any atmospheric gas species with the ecosystem O₂ to CO₂ exchange ratio (g), also known as oxidative ratio. The fundamental equation of the new theory is derived. I show that if O₂+g CO₂ is treated as a virtual bi-molecular gas species, denoted as gCO₄, then the fundamental equation of the new theory is identical in form to the fundamental equation of EC when the ecosystem budget of a single atmospheric constituent (e.g. N₂ or Ar) or dry air is used to constrain NEE measurements of atmospheric gas species. A convenient method for measuring g is also described. Compared with the current, dry air-based approach, the proposed gCO₄-based approach uses less restrictive assumptions, avoids indirect calculations of multiple variables, and thus prevents losses of flux covariances. Existing O₂ measuring technologies can be improved in response time to meet the requirements of the new approach. The adoption of the gCO₄-based approach will greatly enhance the scientific and societal values of flux sites and networks by eliminating measurement biases and by providing value-added datasets to enable understanding the oxidation state of the biosphere.