Renslow Ryan S, Lindemann Stephen R, Song Hyun-Seob
Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland WA, USA.
Biological Sciences Division, Earth and Biological Sciences Directorate, Pacific Northwest National Laboratory, Richland WA, USA.
Front Microbiol. 2016 Apr 7;7:443. doi: 10.3389/fmicb.2016.00443. eCollection 2016.
The emergent property of resilience is the ability of a system to return to an original state after a disturbance. Resilience may be used as an early warning system for significant or irreversible community transition; that is, a community with diminishing or low resilience may be close to catastrophic shift in function or an irreversible collapse. Typically, resilience is quantified using recovery time, which may be difficult or impossible to directly measure in microbial systems. A recent study in the literature showed that under certain conditions, a set of spatial-based metrics termed recovery length, can be correlated to recovery time, and thus may be a reasonable alternative measure of resilience. However, this spatial metric of resilience is limited to use for step-change perturbations. Building upon the concept of recovery length, we propose a more general form of the spatial metric of resilience that can be applied to any shape of perturbation profiles (for example, either sharp or smooth gradients). We termed this new spatial measure "perturbation-adjusted spatial metric of resilience" (PASMORE). We demonstrate the applicability of the proposed metric using a mathematical model of a microbial mat.
恢复力这一涌现特性是指系统在受到干扰后恢复到原始状态的能力。恢复力可用作重大或不可逆群落转变的早期预警系统；也就是说，恢复力不断减弱或较低的群落可能接近于功能上的灾难性转变或不可逆的崩溃。通常，恢复力是用恢复时间来量化的，而在微生物系统中可能难以或无法直接测量恢复时间。文献中最近的一项研究表明，在某些条件下，一组称为恢复长度的基于空间的指标可以与恢复时间相关联，因此可能是一种合理的恢复力替代测量方法。然而，这种恢复力的空间指标仅限于用于阶跃变化扰动。基于恢复长度的概念，我们提出了一种更通用的恢复力空间指标形式，它可以应用于任何形状的扰动曲线（例如，陡峭或平滑的梯度）。我们将这种新的空间测量方法称为“扰动调整后的恢复力空间指标”（PASMORE）。我们使用微生物席的数学模型证明了所提出指标的适用性。
