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Growth model of the reared sea urchin Paracentrotus ... - SciViews

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c. Material<br />

metamorphosis) or hypo<strong>the</strong>ses that can be formulated about changes in<br />

individual growth (such as intra- or interspecific competition).<br />

The aim <strong>of</strong> this paper is to propose a growth <strong>model</strong> taking into account<br />

usually neglected aspects such as individual variations or intraspecific<br />

competition. This means we will question <strong>the</strong> concept <strong>of</strong> "mean<br />

individual" and tentatively build up a growth function with parameters<br />

carrying high biological meaning.<br />

The dataset we used results from a growth study <strong>of</strong> a single cohort <strong>of</strong><br />

<strong>sea</strong> <strong>urchin</strong>s, <strong>Paracentrotus</strong> lividus, <strong>reared</strong> over a period <strong>of</strong> 7 years in a<br />

controlled environment (see Grosjean et al, 1998, see Part I, for a detailed<br />

description <strong>of</strong> <strong>the</strong> rearing protocol). Echinoids were never size-sorted, nor<br />

individually tagged. All <strong>sea</strong> <strong>urchin</strong>s in <strong>the</strong> cohort were measured every 3<br />

months starting at 6 months old (younger echinoids are too fragile to be<br />

measured alive) until 4.5 years old, and <strong>the</strong>n every 6 months until 7 years<br />

old (Fig. 28A, see also Annex II). Due to mortality, <strong>the</strong> total number <strong>of</strong><br />

individuals in <strong>the</strong> cohort dropped from 725 at 6 months old to 221 at 4.5<br />

years old and to 67 at 7 years old (Fig. 29). Size is expressed by <strong>the</strong><br />

ambital test diameter D which corresponds to <strong>the</strong> external diameter <strong>of</strong> <strong>the</strong><br />

test at its largest region (<strong>the</strong> ambitus) excluding spines. D is measured with<br />

an electronic sliding caliper at <strong>the</strong> nearest 0.1 mm (Grosjean et al, 1999,<br />

see Part II) and recorded into 1 mm-wide size classes. Note that between<br />

400 and 1200 days, size distributions were heavily skewed, or even<br />

multimodal. This is <strong>the</strong> effect <strong>of</strong> an intraspecific competition (Grosjean et<br />

al, 1996, see Part III).<br />

Part IV: A growth <strong>model</strong> with intraspecific competition<br />

141

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