Predicting the effects of gas diffusivity on photosynthesis and transpiration of plants grown under hypobaria

As part of a Bio-regenerative Life Support System (BLSS) for long-term space missions, plants will likely be grown at reduced pressure. This low pressure will minimize structural requirements for growth chambers on missions to the Moon or Mars. However, at reduced pressures the diffusivity of gases increases. This will affect the rates at which CO₂ is assimilated and water is transpired through stomata. To understand quantitatively the possible effects of reduced pressure on plant growth, CO₂ and H₂O transport were calculated for atmospheres of various total pressures (101, 66, 33, 22, 11 kPa) and CO₂ concentrations (0.04, 0.1 and 0.18 kPa). The diffusivity of a gas is inversely proportional to total pressure and shows dramatic increases at pressures below 33 kPa (1/3 atm). A mathematical relationship based on the principle of thermodynamics was applied to low pressure conditions and can be used for calculating the transpiration and photosynthesis of plants grown in hypobaria. At 33 kPa total pressure, the stomatal conductance increases by a factor of three with the boundary layer conductance increasing by a factor of ∼1.7, since the leaf conductance is a function of both stomatal and the boundary layer conductance, the overall conductance will increase resulting in significantly higher levels of transpiration as the pressure drops. The conductance of gases is also regulated by stomatal aperture in an inverse relationship. The higher CO₂ concentration inside the leaf air space during low pressure treatments may result in higher CO₂ assimilation and partial stomata closure, resulting in a decrease in transpiration rate. The results of this analysis offer guidelines for experiments in pressure and high CO₂ environments to establish ideal conditions for minimizing transpiration and maximizing the plant biomass yield in BLSS.