Publications by authors named "Katherine E O Todd-Brown"
Article Synopsis
- - Understanding soil carbon (C) dynamics requires the use of proxy variables that either represent unmeasurable soil characteristics or combine multiple traits into one variable, helping to make sense of the complex soil C cycle.
- - Proxies like metabolic quotient, clay content, and physical fractionation are essential for predicting carbon fate in changing climates, but careful consideration is needed to reduce uncertainty in their application.
- - The text encourages further exploration of both established and emerging proxies, such as genome-sequence data, to enhance decision-making and advance research in soil C cycling.
We develop a theory for transit times and mean ages for nonautonomous compartmental systems. Using the McKendrick-von Förster equation, we show that the mean ages of mass in a compartmental system satisfy a linear nonautonomous ordinary differential equation that is exponentially stable. We then define a nonautonomous version of transit time as the mean age of mass leaving the compartmental system at a particular time and show that our nonautonomous theory generalises the autonomous case.
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