Fig. 4: Phase portraits of Eqs. (14) from Supplementary NoteĀ 1 illustrating a gradual transition are shown for six distinct values of f1, the influx rate of iron(II).
From: The Great Oxygenation Event as a consequence of ecological dynamics modulated by planetary change

For values of f1ā=ā17 (a), 12 (b), 11 (c), 10 (d), 9 (e), and 4 (f), the stable equilibrium (green dot) moves continuously from a world that is dominated by APB to one that is dominated by cyanobacteria. Parameter values are f2ā=ā10, cā=ā1, aā=ā10, bā=ā12, u1ā=āu2ā=ā1, and α1ā=āα2ā=ā1. The GOE is gradual.