A model of C4 photosynthetic acclimation based on least-cost optimality
theory suitable for Earth System Model incorporation
Abstract
Empirical studies have shown that plant photosynthetic responses to
environmental change can vary over time due to acclimation, but
acclimation responses are often not included in Earth System Models
(ESMs). Photosynthetic least cost theory can be used to develop models
of photosynthetic acclimation that are simple and testable. The theory
is based on the idea that, optimally, plants will acclimate to maintain
the fastest rate of photosynthesis at the lowest water and nutrient use.
Formulations of this theory have been developed for C3
plants, but not C4 plants, which account for over 20%
global photosynthesis and are over-represented among widely grown crops.
Here, we use photosynthetic least cost theory to derive a model for
C4 photosynthetic acclimation to above-ground abiotic
conditions. We then compare our model’s responses to a similar model of
C3 photosynthetic acclimation and find that
C4 photosynthesis has the highest simulated advantage
over C3 photosynthesis in hot and low
CO2 environments. We find that this advantage predicts
C4 abundance globally, but that the shallower CO2
response of C4 as compared to C3
photosynthesis will reduce C4 plant competitiveness
under future conditions, despite higher temperatures. We also show that
an acclimated model predicts similar or faster rates of
C4 under all conditions than a model that does not
consider acclimation, suggesting that ESMs are underestimating future
C4 carbon uptake by not including acclimation. Our model
is designed for easy incorporation into such ESMs.