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Population Connectivity in Marine Systems

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1985; Sheltema, 1986; Victor, 1986;<br />

Newman and McConnaughey, 1987).<br />

Identification of relevant temporal<br />

scales is also of critical importance to any<br />

discussion of population connectivity.<br />

For population ma<strong>in</strong>tenance, and associated<br />

conservation and resource-management<br />

objectives, the relevant time scale<br />

is ecological or demographic, rather than<br />

that relevant to evolutionary processes.<br />

Rates of exchange necessary to impact<br />

populations on ecological time scales<br />

are several orders of magnitude higher<br />

than those required to <strong>in</strong>fluence genetic<br />

structure. Consequently, both the time<br />

over which dispersal is measured and the<br />

amplitude of the relevant recruitment<br />

signal must be appropriate for ecological<br />

BOx 1. QuANtitAtiVe MeASureS OF POPulAtiON CONNeCtiVity<br />

A mechanistic understand<strong>in</strong>g of mar<strong>in</strong>e population connectivity requires<br />

resolution of the biological and physical processes <strong>in</strong>volved <strong>in</strong> larval<br />

dispersal and transport. Larval dispersal refers to the <strong>in</strong>tergenerational<br />

spread of larvae away from a source to the dest<strong>in</strong>ation or settlement site<br />

at the end of the larval stage. This usage is widespread <strong>in</strong> the terrestrial lit-<br />

16<br />

Local Retention (Closed)<br />

<strong>Population</strong> <strong>Connectivity</strong><br />

Distance from Source<br />

Oceanography Vol. 20, No. 3<br />

Broadly Dispersed (Open)<br />

Figure A-1. One-dimensional, theoretical<br />

dispersal curves depict<strong>in</strong>g dispersal<br />

from a source location rang<strong>in</strong>g from<br />

strong retention to broadly dispersed.<br />

contribution to population replenishment<br />

and ma<strong>in</strong>tenance.<br />

Estimat<strong>in</strong>g population connectivity<br />

<strong>in</strong> mar<strong>in</strong>e ecosystems is <strong>in</strong>herently<br />

a coupled bio-physical problem.<br />

Important physical processes <strong>in</strong>clude<br />

boundary layer structure, particularly<br />

over the <strong>in</strong>ner shelf, tides, <strong>in</strong>ternal tides<br />

and bores, fronts and associated jets,<br />

island wakes, and cross-shelf forc<strong>in</strong>g via<br />

eddies, meanders, and lateral <strong>in</strong>trusions.<br />

However, physical processes alone do<br />

not determ<strong>in</strong>e the scales of connectivity.<br />

Time scales of larval development and<br />

behavioral capabilities, <strong>in</strong>clud<strong>in</strong>g vertical<br />

migration, also play an important role<br />

(Cowen, 2002).<br />

Although the number of advective<br />

and diffusive processes that relate to the<br />

dispersal and recruitment of mar<strong>in</strong>e<br />

organisms is potentially large, several<br />

general observations may help to<br />

def<strong>in</strong>e the connectivity problem. First,<br />

temporal and spatial correlation scales<br />

over cont<strong>in</strong>ental shelves are often quite<br />

short—on the order of days and kilometers.<br />

Unfortunately, correlation scales<br />

near islands, reefs, and with<strong>in</strong> estuaries<br />

are not well known. Careful selection<br />

of sampl<strong>in</strong>g strategies is therefore necessary<br />

to resolve the physical processes<br />

described above. Second, the relative<br />

contributions of these processes will<br />

likely change from site to site, depend<strong>in</strong>g<br />

on such factors as coastal geometry,<br />

proximity to estuaries, water-column<br />

erature where the basic description of dispersal is a dispersal curve, a one-<br />

dimensional representation of the number of settlers from a given source<br />

as a function of the distance from that source (see Figure A-1).<br />

The dispersal curve becomes a dispersal kernel with an associated<br />

probability density function, <strong>in</strong> n dimensions. Formally, the dispersal ker-<br />

nel is the probability of end<strong>in</strong>g up at position x given a start<strong>in</strong>g position y.<br />

One quantitative measure of population connectivity is the source distri-<br />

bution matrix ρ ij , which gives the proportion of juveniles <strong>in</strong> population i<br />

that came from population j. <strong>in</strong> the absence of any data, let’s assume that<br />

larval production <strong>in</strong> a population is a function of habitat area and that<br />

recruitment decays exponentially with distance from a natal population.<br />

<strong>in</strong> this case,<br />

where d is the distance between population i and j, A is the area <strong>in</strong>hab-<br />

ij j<br />

ited by population j, and α scales the effect of distance on dispersal<br />

(Moilenan and Niemanen, 2002). Although simplistic, the model may<br />

provide an adequate representation of connectivity <strong>in</strong> metapopulations<br />

dom<strong>in</strong>ated by self-recruitment (Jones et al., 2005; Almany et al., 2007).

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