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Book of Abstracts

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34<br />

life cycle <strong>of</strong> the built facility. Integrative design processes ensure taking into account seismic aspects together with<br />

other matters <strong>of</strong> sustainability in order to make sure the building will not only be functional and energy efficient but<br />

also will be able to structurally survive in the event <strong>of</strong> an earthquake.<br />

For example, architectural decisions dealing with the geometry <strong>of</strong> the building and the location <strong>of</strong> different elements<br />

in the plan have a significant impact not only on the building's routine functionality and aesthetics, but also on its<br />

stiffness and dynamic response in the event <strong>of</strong> a major earthquake at some point in the future. From an energetic<br />

perspective, a seismically resistant configuration may encourage structural solutions which rely, for example, on less<br />

reinforcing steel and as a result may reduce the initial energy embodied in the building’s production – with the<br />

economic and environmental implications <strong>of</strong> that energy consumption manifest over an extended time frame.<br />

The aim <strong>of</strong> this study is to examine barriers to the integrated design <strong>of</strong> resilient buildings by looking at incentives<br />

and disincentives for non-linear co-design processes along the extended building supply chain. The study will use a<br />

novel research approach employing the Delphi technique, a systematic, interactive forecasting method which relies<br />

on panels <strong>of</strong> experts to identify potential and actualized relationships among industry actors.<br />

Desertification as Catastrophic Regime Shift: Empirical and<br />

Mathematical Aspects<br />

Desertification is commonly viewed as a dynamical transition from a productive stable state to an<br />

alternative less productive stable state. The transition can be induced by an environmental change or by a<br />

disturbance, and becomes feasible near an instability point <strong>of</strong> the productive state. The session will<br />

address mathematical aspects <strong>of</strong> such transitions, taking into account the possibility <strong>of</strong> the productive<br />

state being spatially patchy. Questions to be addressed include mechanisms <strong>of</strong> desertification, warning<br />

signals for imminent desertification and restoration <strong>of</strong> decertified areas. The session will also address<br />

field observations <strong>of</strong> vegetation patterns and pattern dynamics, and attempt confronting model predictions<br />

with empirical data.<br />

Desertification as a gradual regime shift in spatially extended ecosystems<br />

Golan Bel, Hezi Izhaq, Aric Hagberg and Ehud Meron; Department <strong>of</strong> Solar Energy; Ben-Gurion University <strong>of</strong> the<br />

Negev; Sede Boqer Campus, Israel; bei@bgu.ac.il<br />

Ecosystem regime shifts are conceived as abrupt global transitions from one stable state to an alternative stable state,<br />

induced by slow environmental changes. Spatially extended ecosystems, however, can also respond to local<br />

disturbances by the nucleation <strong>of</strong> small domains <strong>of</strong> the alternative state. Such a response can lead to gradual regime<br />

shifts involving front propagation and coalescence <strong>of</strong> alternative-state domains. When one <strong>of</strong> the states is spatially<br />

patterned, a multitude <strong>of</strong> intermediate stable states appears, ranging from holes in periodic patterns to localized<br />

states, giving rise to step-like gradual shifts. Vegetation dynamics in drylands is a spatially extended ecosystem that<br />

exhibits a bi-stability <strong>of</strong> patterned and uniform states. We demonstrate the existence <strong>of</strong> localized states in a<br />

vegetation model that captures two pattern-forming feedbacks, one associated with infiltration contrast between<br />

vegetated areas and bare soil and the other with root-shoot relationships. We further evaluate numerically a<br />

bifurcation diagram that shows the forms <strong>of</strong> the localized solution branches. It is shown that under certain climatic<br />

conditions, gradual regime shifts involving intermediate localized states, may take place. In addition, the effects <strong>of</strong><br />

the two feedbacks on the bifurcation diagram and, hence, on the nature <strong>of</strong> the regime shifts are studied. We show<br />

that the larger the root-shoot feedback, the more gradual is the degradation <strong>of</strong> the vegetation and the more abrupt is<br />

the recovery <strong>of</strong> the vegetation from localized states into a patterned state. We propose indicators to probe gradual<br />

regime shifts and suggest that a combination <strong>of</strong> abrupt-shift indicators and gradual-shift indicators might be needed<br />

to unambiguously identify regime shifts. Our results are particularly relevant to desertification in drylands where<br />

transitions to bare soil take place from spotted vegetation, and the degradation process appears to involve step-like<br />

events <strong>of</strong> local vegetation mortality caused by repeated droughts.

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