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PIK Biennial Report 2000-2001 - Potsdam Institute for Climate ...

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TO<strong>PIK</strong> 2 - Management of Singular Events<br />

This TO<strong>PIK</strong> is concerned with extreme events, such as<br />

severe storms, floods or droughts, and with abrupt<br />

changes in the Earth system, such as the break-up of a<br />

large ice sheet. Meteorite impacts or major volcanic<br />

eruptions are further examples of singular events. They<br />

are characterized by a major impact or change occurring<br />

over a relatively short time, in contrast to insidious<br />

GRAIN<br />

Guardrails and Indicators <strong>for</strong> <strong>Climate</strong> Protection<br />

Project speaker: Elmar Kriegler<br />

<strong>PIK</strong> project members: Nico Bauer, Ottmar Edenhofer,<br />

Hermann Held, Thomas Kleinen, Elmar Kriegler,<br />

Gerhard Petschel-Held.<br />

External project collaborators: Thomas Bruckner,<br />

(Technical University Berlin).<br />

Motivation<br />

The GRAIN project addresses the issue of robust climate<br />

protection strategies under uncertainty and nonlinearity.<br />

How can we account <strong>for</strong> the large uncertainty<br />

about the complex human-environment system? How<br />

can we detect possible indicators of nonlinear thresholds?<br />

Which structural changes of the socio-economic<br />

system are needed to address climate change?<br />

Decision under Uncertainty and Imprecision<br />

The objective uncertainty about climate change can in<br />

many cases not be quantified by precise probabilities.<br />

Hence we are investigating theories which allow us to<br />

capture not only uncertainty, but also imprecision. We<br />

are particularly interested in the implications <strong>for</strong> decision-making;<br />

with imprecise in<strong>for</strong>mation the decisionmaker<br />

can adopt a range of equally rational attitudes<br />

ranging from a pessimist to an optimist perspective. Preliminary<br />

results show that the decision-making model<br />

behaves rather pessimistically, if there exists an intolerable<br />

domain of future developments which has to be<br />

strictly avoided.<br />

Indicators of Critical Thresholds<br />

Nonlinear effects, such as bifurcations and thresholds,<br />

can be very important <strong>for</strong> the behaviour of the climate<br />

system. As a prominent example we consider the North<br />

Atlantic thermohaline circulation (THC). The THC<br />

trends. Singular events can have a particularly damaging<br />

effect on natural and socio-economic systems. This<br />

TO<strong>PIK</strong> aims at characterizing singular events with<br />

respect to their mechanisms and potential consequences,<br />

at defining and assessing associated risks, and at developing<br />

mitigation and adaptation strategies.<br />

Fig. 1: The "typical" red spectrum becomes much “redder” close to<br />

the bifurcation and may even change to an algebraic relationship.<br />

breaks down if the freshwater input into the North<br />

Atlantic basin reaches a critical value. This behaviour has<br />

been observed both in conceptual models and GCMs.<br />

We are investigating the simplest model of the THC, the<br />

2-box Stommel model. The model undergoes a bifurcation<br />

at a critical freshwater flux � c. We have added a stochastic<br />

freshwater flux with mean value �. Figure 1<br />

shows that the power spectral density of the circulation<br />

strength changes markedly when the system approaches<br />

the bifurcation. We are investigating whether this<br />

method can be applied to other systems and be used as<br />

an indicator <strong>for</strong> critical thresholds.<br />

Technology and Investment<br />

The energy system today is based on fossil fuels. To limit<br />

emissions we have three strategic options:<br />

1) Efficiency: increasing the energy efficiency,<br />

2) Substitution: conversion to renewable energy,<br />

3) Sufficiency: stabilizing consumption.<br />

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