Was climatic cooling during the earliest Carboniferous driven by expansion of seed plants?

Bo Chen, Jitao Chen, Wenkun Qie, Pu Huang, Tianchen He, Michael M. Joachimski, Marcel Regelous, Philip A.E. Pogge von Strandmann, Jiangsi Liu, Xiangdong Wang, Isabel P. Montañez, Thomas J. Algeo