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Rietkerk, M.

Publications and source records attributed to Rietkerk, M..

2 recordsLinked to original sources

Spatial and temporal scale-dependent feedbacks govern dynamics of biocrusts in drylands

Biota could be ecosystem engineers in generating an intrinsic heterogeneous landscape through scale-dependent feedbacks. Thereby, they can form resource enriched patchiness or islands of fertility, comprising of self-organizing spatial patterns. Research so far has largely focused on the self-organized spatial patterns of plant communities in drylands. It, however, remains unclear whether and how biocrusts having distinct morphology and life history from plant communities could self-organize themselves and form unique spatial patterns. Here we conducted field observations of biocrusts across successional stages and employed a probabilistic Cellular Automaton (CA) model to investigate the distinct self-organized spatial patterns exhibited by mosaic patches of mosses and lichens with different patch size distributions (PSDs). Our study demonstrates that short-range positive feedbacks initially promote the development of patches, featured with a heavy-tailed PSD, while long-range negative feedbacks subsequently curtail further expansion of big patches, thereby establishing a characteristic patch scale with regular PSDs. Strikingly, only lichens reverted back to the heavy-tailed PSD in the late succession stage, presumably implying self-organized critical fragmentation of lichen patches. Field measurements of biocrust performance at the center and edge of patches of varying sizes along succession stages further support the classic scale-dependent feedback mechanism for Turing pattern formation. Collectively, our results clearly demonstrate the capability of the biocrust communities to self-organize themselves to form distinct spatial patterns governed by the spatial and temporal scale-dependent feedbacks, potentially impacting dryland ecosystem functions and resilience. Significance StatementAn intriguing phenomenon is the capability of biota to form striking self-organized spatial patterns. Biocrusts serve as the soils skin and have different morphology and life history as compared to plant communities. We investigated these distinct self-organized spatial patterns exhibited by mosaic patches of mosses and lichens across succession stages through field surveys and a probabilistic Cellular Automaton (CA) model. Our results provide empirical evidence that biocrusts act as ecosystem engineers, forming self-organized spatial patterns. Simulations and field measurements of biocrust performance elucidate the mechanism of spatial and temporal scale-dependent feedbacks in governing biocrust spatial pattern formation. This self-organizing ability of biocrusts holds significant implications for ecosystem functions and the resilience of dryland ecosystems.

ecology↗

Travelling waves due to negative plant-soil feedbacks in a model including tree life-stages

The emergence and maintenance of tree species diversity in tropical forests is commonly attributed to the Janzen-Connell (JC) hypothesis, which states that growth of seedlings is suppressed in the proximity of conspecific adult trees. As a result, a JC distribution due to a density-dependent negative feedback emerges in the form of a (transient) pattern where conspecific seedling density is highest at intermediate distances away from parent trees. Several studies suggest that the required density-dependent feedbacks behind this pattern could result from interactions between trees and soil-borne pathogens. However, negative plant-soil feedback may involve additional mechanisms, including the accumulation of autotoxic compounds generated through tree litter decomposition. An essential task therefore consists in constructing mathematical models incorporating both effects showing the ability to support the emergence of JC distributions. In this work, we develop and analyse a novel reaction-diffusion-ODE model, describing the interactions within tropical tree species across different life stages (seeds, seedlings, and adults) as driven by negative plant-soil feedback. In particular, we show that under strong negative plant-soil feedback travelling wave solutions exist, creating transient distributions of adult trees and seedlings that are in agreement with the Janzen-Connell hypothesis. Moreover, we show that these travelling wave solutions are pulled fronts and a robust feature as they occur over a broad parameter range. Finally, we calculate their linear spreading speed and show its (in)dependence on relevant nondimensional parameters. 2020 MSC35C07, 34C60, 34D05, 35K57, 37C25, 65M06, 92D40.

ecology↗