There is roughly a 1% decrease in nutrient density for every 6.25ppm increase of CO₂ in the atmosphere. From 1945 to 1985 atmospheric CO₂ increased by about 35ppm, so there should be about a 5% decrease in nutrient density. According to the meta-study, rats increased their calorie intake by roughly 6%.
¹ Caveat: Allison is a notorious "PR scientist" whose career has been made out of helping the fast- and processed- food industries deflect any blame or accountability for the health and safety of their "products." The hypothesis of the paper is that the obesity epidemic is being caused by viruses and pollutants (without offering any evidence), and has nothing to do with McDonald's. This "viruses and pollutants" fairy tale can then be used as a deflection in fast-food PR and expert testimony in class-action lawsuits and government investigations.