The Primacy of Temporal Dynamics in Driving Spatial Self-organization of Soil Redox Patterns

In this study, we investigate mechanisms that generate regularly-spaced, iron banding in upland soils. These redoximorphic features appear in soils worldwide, but their genesis has been heretofore unresolved. Upland soils are highly redox dynamic, with significant redox fluctuations driven by rainfall, groundwater changes, or irrigation. Pattern formation in these highly dynamic systems provides an opportunity to investigate the temporal dimension of spatial self-organization, which is not often explored. By comparing multiple alternative mechanisms, we find that regular redox patterns in upland soils are formed by coupling two sets of scale-dependent feedbacks (SDF), the general framework underlying Turing instability. The first set of SDF is based on clay aggregation and disaggregation. The second set is realized by threshold-dependent, negative root responses to aggregated crystalline Fe(III). The former SDF amplifies Fe(III) aggregation and crystallinity to trigger the latter SDF. Neither set of SDF alone is sufficient to reproduce observed patterns. Redox oscillations driven by environmental variability play an indispensable role in pattern formation. Environmental variability creates a range of conditions at the same site for various processes in SDF to occur, albeit in different temporal windows of differing durations. In effect, environmental variability determines mean rates of pattern-forming processes over the timescale relevant to pattern formation and modifies the likelihood that pattern formation will occur. As such, projected climate change might significantly alter many self-organized systems, as well as the ecological consequences associated with the striking patterns they present. This temporal dimension of pattern formation is previously unreported and merits close attention. ### Competing Interest Statement The authors have declared no competing interest.