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The Performance of Seaport Clusters - RePub - Erasmus Universiteit ...

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20<br />

<strong>The</strong> <strong>Performance</strong> <strong>of</strong> <strong>Seaport</strong> <strong>Clusters</strong><br />

generated by the members <strong>of</strong> the population. <strong>The</strong> value added consists mainly <strong>of</strong> labor<br />

expenses, depreciation and pr<strong>of</strong>it (before tax).<br />

A strong increase in the value added in one particular year can have causes that hamper the<br />

growth <strong>of</strong> value added in the long run. A cluster where the value added increases because<br />

wages increased substantially, or pr<strong>of</strong>itability is high due to the lack <strong>of</strong> internal competition,<br />

are likely to become less competitive in the long run. <strong>The</strong>refore, the net present value <strong>of</strong> the<br />

future value added generated in the cluster is the best indicator <strong>of</strong> the performance <strong>of</strong> a<br />

cluster. This indicator cannot be calculated. However, once time series <strong>of</strong> the value added<br />

generated in a cluster become available, the influence <strong>of</strong> various variables on the<br />

performance <strong>of</strong> clusters can be analyzed. For instance, variables such as expenses for<br />

innovation, and the number <strong>of</strong> new establishments are likely to influence the future value<br />

added generated in the cluster. <strong>The</strong> value added generated in year t can be written as:<br />

Where:<br />

n<br />

VA ( t)<br />

= Va ( t)<br />

for i = {1...n}<br />

p ∑<br />

i=<br />

1<br />

i<br />

VA is the total value added <strong>of</strong> a population P consisting <strong>of</strong> n firms,<br />

Vai is the value added <strong>of</strong> firm i in the cluster P.<br />

<strong>The</strong> performance <strong>of</strong> the cluster can be written as:<br />

VAp<br />

( t + 1)<br />

VAp<br />

( t + n)<br />

CPp<br />

( t)<br />

= VAp<br />

( t)<br />

+ + .....<br />

n<br />

1 + r ( 1 + r)<br />

Where r is the discount rate used to calculate the net present value over the period t to n.<br />

3.2 Two effects that change the value added in the cluster<br />

<strong>The</strong> value added generated in the cluster changes over time because <strong>of</strong> two effects: an<br />

‘incumbent performance effect’ and a ‘population effect’. <strong>The</strong> first effect stems from changes<br />

<strong>of</strong> the value added generated by the firms present in the cluster at the end <strong>of</strong> a period (t+1)<br />

and at the beginning <strong>of</strong> a period (t). Developments such as new investments, employee lay-

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