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sectoral economic costs and benefits of ghg mitigation - IPCC

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Renewable Energy<br />

2.3. Endogenous TC <strong>and</strong> the experience effect: an analysis <strong>of</strong> past learning rates<br />

For any estimates <strong>of</strong> future learning rates <strong>of</strong> energy conversion technologies, it is essential to<br />

underst<strong>and</strong> past learning performances in this area. This sub-section first summarises the concept<br />

<strong>of</strong> technological learning <strong>and</strong> discusses the main assumptions behind it. Then it presents learning<br />

rates found in the manufacturing sector <strong>and</strong> possible causal factors. We then proceed to report<br />

learning rates observed for energy conversion technologies.<br />

The concept <strong>of</strong> technological learning<br />

For the purpose <strong>of</strong> the following discussion, technological learning is meant to describe<br />

reductions <strong>of</strong> specific investment <strong>costs</strong> <strong>of</strong> a technology, assumed to accompany the increasing<br />

use <strong>of</strong> the technology in question.<br />

A learning curve, or experience curve, describes the specific (investment) cost as a function <strong>of</strong><br />

the cumulative capacity for a given technology. It reflects the fact that technologies may<br />

experience declining <strong>costs</strong> as a result <strong>of</strong> increasing adoption into society due to the accumulation<br />

<strong>of</strong> knowledge through, among others, processes <strong>of</strong> learning-by-doing <strong>and</strong> learning-by-using<br />

(Dutton <strong>and</strong> Thomas, 1984; Grübler, 1998b). The cumulative capacity is used as a measure <strong>of</strong> the<br />

knowledge accumulation occurring during the manufacturing <strong>and</strong> use <strong>of</strong> one technology<br />

(Christiansson, 1995).<br />

The most common concept to express technological learning is to postulate a constant relative<br />

reduction <strong>of</strong> technology <strong>costs</strong> for each doubling <strong>of</strong> total installed capacity. Expressed in<br />

mathematical form, specific capital <strong>costs</strong> are therefore an exponential function <strong>of</strong> the total<br />

cumulative capacity installed:<br />

Cost(CCap) = A* CCap -b (1)<br />

where: Cost (.) ……. Specific capital <strong>costs</strong><br />

A …………... Specific capital <strong>costs</strong> at a total cumulative (initial) capacity <strong>of</strong> 1<br />

CCap ………. Total cumulative installed capacity<br />

-b …..……… Learning elasticity<br />

The learning elasticity b can be used to calculate the progress ratio or vice versa. The progress<br />

ratio (pr) expresses the rate at which the cost declines each time the cumulative production<br />

doubles:<br />

−b<br />

pr = 2<br />

E.g., a progress ratio <strong>of</strong> 0.8 means that the <strong>costs</strong> per unit <strong>of</strong> newly installed capacity decrease by<br />

20% for each doubling <strong>of</strong> cumulative installed capacity. The parameter b thus constitutes one <strong>of</strong><br />

the key assumptions describing technological progress because it defines the speed <strong>of</strong> learning<br />

for the technology. It is important to note that an alternative but equivalent parameter, the<br />

learning rate, is <strong>of</strong>ten used which is defined as ‘1 - pr’. The three indicators (elasticity, progress<br />

rate, <strong>and</strong> learning rate) are therefore equivalent in the sense that any two <strong>of</strong> the three can be<br />

calculated from the third. In the following survey, we will mainly use learning rates. As with any<br />

model, the learning concept as presented here is a simplification, in particular the assumption <strong>of</strong> a<br />

constant learning rate. As will be shown below, several authors relax this assumption by<br />

considering learning curves that are only piece-wise linear on a double-logarithmic scale.<br />

Learning rates observed in manufacturing<br />

The concept <strong>of</strong> technological learning was first researched at the firm level. In an overview<br />

paper, Dutton <strong>and</strong> Thomas (1984) reported observed learning rates in 108 cases analysing<br />

technological learning at the level <strong>of</strong> individual firms. A histogram <strong>of</strong> these rates is presented in<br />

116

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