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Establecimiento de cuatro especies de Quercus en el sur de la ...

Establecimiento de cuatro especies de Quercus en el sur de la ...

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Whithin popu<strong>la</strong>tion variability influ<strong>en</strong>ces early seedling establishm<strong>en</strong>t on four Mediterranean Oaks<br />

Data analyses<br />

To investigate the effect of differ<strong>en</strong>t variables on seedling emerg<strong>en</strong>ce we used<br />

g<strong>en</strong>eralized mixed mo<strong>de</strong>ls (GLMM) with a binomial distribution of errors and a logit<br />

link function, and constructed a mo<strong>de</strong>l for each species. Seedling emerg<strong>en</strong>ce was tak<strong>en</strong><br />

as 1 if p<strong>la</strong>nts emerged and 0 otherwise. Experim<strong>en</strong>tal plot i<strong>de</strong>ntity was inclu<strong>de</strong>d as a<br />

random factor to account for the nestedness of the data, and light avai<strong>la</strong>bility, preemerg<strong>en</strong>ce<br />

soil moisture, seed mass, mother p<strong>la</strong>nt and all two‐way interactions were<br />

tak<strong>en</strong> as the fixed factors. In all cases, seed mass was heavily <strong>de</strong>p<strong>en</strong><strong>de</strong>nt upon the<br />

mother p<strong>la</strong>nt (ANOVA; Q. faginea: R 2 =0.71, P=0.000; Q. ilex: R 2 =0.77, P=0.000; Q.<br />

pyr<strong>en</strong>aica: R 2 =0.74, P=0.000; Q. suber: R 2 =0.28, P=0.000). To avoid multicollinearity<br />

problems we regressed seed mass against mother tree, and rep<strong>la</strong>ced the former<br />

variable with the residuals from the regression (Graham 2003); therefore, the residuals<br />

for seed mass would repres<strong>en</strong>t the unique contribution of seed mass, in<strong>de</strong>p<strong>en</strong><strong>de</strong>nt<br />

from mother‐induced effects (Castro, 1999).<br />

To <strong>de</strong>tect pot<strong>en</strong>tial factors influ<strong>en</strong>cing time to emerg<strong>en</strong>ce in each <strong>Quercus</strong><br />

species we used Linear Mixed Mo<strong>de</strong>ls (LMM), in which experim<strong>en</strong>tal plot i<strong>de</strong>ntity was<br />

inclu<strong>de</strong>d as a random factor, to account for the structure of the data. As fixed factors<br />

we consi<strong>de</strong>red the same variables as above, and all two‐way interactions.<br />

To analyse seedling <strong>sur</strong>vival in two successive years after p<strong>la</strong>ntation and<br />

establishm<strong>en</strong>t success at the <strong>en</strong>d of the experim<strong>en</strong>t we built binomial g<strong>en</strong>eralized<br />

mixed mo<strong>de</strong>ls (GLMM) for each species. Seedling <strong>sur</strong>vival was tak<strong>en</strong> as 1 if emerged<br />

seedlings were alive and 0 otherwise, and establishm<strong>en</strong>t success was co<strong>de</strong>d as 1 for<br />

those seedlings found alive at the <strong>en</strong>d of the experim<strong>en</strong>t and 0 for those p<strong>la</strong>nts <strong>de</strong>ad<br />

or not ev<strong>en</strong> emerged. In all cases, experim<strong>en</strong>tal plot i<strong>de</strong>ntity was inclu<strong>de</strong>d as a random<br />

factor to account for the structure of the data. Light avai<strong>la</strong>bility as mea<strong>sur</strong>ed through<br />

GSF, residuals of seed mass (see above), mother p<strong>la</strong>nt, irrigation treatm<strong>en</strong>t, and all<br />

two‐way interactions were tak<strong>en</strong> as the fixed factors. For mo<strong>de</strong>ls in year 1, soil<br />

moisture in spring was also inclu<strong>de</strong>d to reflect early growth conditions.<br />

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