Linking Environmental Régimes, Space and Time: Interpretations of Structural and Functional Connectivity

Connectivity as a concept has been increasingly part of discussions or explanations in hydrology, geomorphology and ecology. We address recent critiques of this approach by demonstrating how a refinement which distinguishes structural connectivity from functional connectivity can be used to explain patterns observed in very different environmental systems. These systems are found in linkages between surface and subsurface flowpaths and the hyporheos in the River Don, a temperate river channel in Yorkshire, UK; in surface and subsurface fluxes in agricultural land in the UK; and in vegetation and surface conditions in a degrading environment at the Sevilleta LTER site in the semi-arid Southwest USA. First, we demonstrate long-term geological and structural controls mediated by in-channel processes. Second, human organization of landscape elements is a significant control on runoff and erosion, so that similar events can produce very different responses (and vice versa). Third, linkages between the removal of grass vegetation and runoff and erosion produce non-linear and path-dependent feedbacks which control the subsequent degradation of the landscape, making the process difficult to reverse. As a result of these studies, we argue that even in cases where connectivity cannot be directly quantified (at least at present), this limitation does not prevent the concept from being a useful heuristic device for exploring responses of complex systems. Furthermore, this result implies that an increasing need exists for disciplinary connectivity to investigate such systems

Connectivity and complex systems: learning from a multi-disciplinary perspective

In recent years, parallel developments in disparate disciplines have focused on what has come to be termed connectivity; a concept used in understanding and describing complex systems. Conceptualisations and operationalisations of connectivity have evolved largely within their disciplinary boundaries, yet similarities in this concept and its application among disciplines are evident. However, any implementation of the concept of connectivity carries with it both ontological and epistemological constraints, which leads us to ask if there is one type or set of approach(es) to connectivity that might be applied to all disciplines. In this review we explore four ontological and epistemological challenges in using connectivity to understand complex systems from the standpoint of widely different disciplines. These are: (i) defining the fundamental unit for the study of connectivity; (ii) separating structural connectivity from functional connectivity; (iii) understanding emergent behaviour; and (iv) measuring connectivity. We draw upon discipline-specific insights from Computational Neuroscience, Ecology, Geomorphology, Neuroscience, Social Network Science and Systems Biology to explore the use of connectivity among these disciplines. We evaluate how a connectivity-based approach has generated new understanding of structural-functional relationships that characterise complex systems and propose a ‘common toolbox’ underpinned by network-based approaches that can advance connectivity studies by overcoming existing constraints