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Guide to PAS 2050 How to assess the carbon ... - Aggie Horticulture

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56<br />

Appendix IV: Uncertainty analysis<br />

Uncertainty calculation<br />

The recommended approach for calculating uncertainty<br />

is <strong>to</strong> perform a Monte Carlo analysis of <strong>the</strong> <strong>carbon</strong><br />

footprint model created in Step 4. There are many<br />

software packages available for conducting a Monte<br />

Carlo analysis; alternatively some LCA packages have<br />

integrated Monte Carlo functionality. A Monte Carlo<br />

analysis involves three stages:<br />

1. Define <strong>the</strong> probability density for each input by<br />

identifying: <strong>the</strong> distribution type (e.g. normal or<br />

lognormal); upper/lower bounds of <strong>the</strong> input value<br />

<strong>to</strong> reach 95% confidence; and correlation fac<strong>to</strong>rs<br />

2. Next, through a process of many repetitions,<br />

randomly vary each input value according <strong>to</strong> its<br />

distribution, and record <strong>the</strong> resulting new value of<br />

<strong>the</strong> output (<strong>carbon</strong> footprint)<br />

3. Repeat <strong>the</strong> process for each input, <strong>the</strong>reby building<br />

up a probability density of <strong>the</strong> footprint result. This<br />

uncertainty resultt can <strong>the</strong>n be reported as a ‘±%’<br />

or a range of values.<br />

some cases <strong>the</strong> model input probability density will<br />

already be established, such as <strong>the</strong> precision of an<br />

electricity meter or <strong>the</strong> uncertainty of an emission<br />

fac<strong>to</strong>r from a published study; in o<strong>the</strong>r cases <strong>the</strong><br />

input’s probability density must be determined by an<br />

expert, most likely <strong>the</strong> person who measured <strong>the</strong> input<br />

in <strong>the</strong> first place. Some secondary databases also<br />

include uncertainty information.<br />

Using uncertainty<br />

Uncertainty analysis produces data that can help in <strong>the</strong><br />

following ways:<br />

• To quantify <strong>the</strong> overall uncertainty of a <strong>carbon</strong><br />

footprint (range and distribution of <strong>the</strong> <strong>carbon</strong><br />

footprint itself), as described above<br />

• By providing a sensitivity/contribu<strong>to</strong>ry analysis:<br />

analysing uncertainty by life cycle stage or model<br />

input <strong>to</strong> identify relative ‘hot spots’, which have<br />

higher uncertainty than o<strong>the</strong>rs<br />

Defining <strong>the</strong> probability density of each model input is<br />

best performed during <strong>the</strong> data collection in Step 3. In

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