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

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Capítulo 2<br />

variables. SMA techniques provi<strong>de</strong> a better estimate of the line summarizing the<br />

r<strong>el</strong>ationship betwe<strong>en</strong> two variables (i.e. the main axis along which two variables are<br />

corr<strong>el</strong>ated) to that of ordinary linear regression, because the residual variance is<br />

minimized in both “x” and “y” dim<strong>en</strong>sions, rather than the y dim<strong>en</strong>sion only (McArdle,<br />

1988; Sokal and Rohlf, 1995). The analysis also <strong>de</strong>termined the differ<strong>en</strong>ces betwe<strong>en</strong><br />

the slopes obtained for each species or for each mother tree, so that a significant P<br />

indicated differ<strong>en</strong>ces betwe<strong>en</strong> the slopes of the groups studied. The free software<br />

statistics package SMART (Warton et al., 2006) was used.<br />

For the reserve effect hypotheses to be supported two conditions must be<br />

fulfilled: 1) the slope of the r<strong>el</strong>ationship betwe<strong>en</strong> the seed mass and the used seed<br />

reserve should be lower than 1, and, 2) the slope (S) of the seed mass–seedling<br />

biomass r<strong>el</strong>ationship should be significantly greater than the slope of the seed mass–<br />

reserves used r<strong>el</strong>ationship (Gre<strong>en</strong> and Juniper, 2004). If the slopes of these scaling<br />

r<strong>el</strong>ationships were the same, the ratio of reserve mass to seedling biomass would be<br />

the same across species or mothers differing in seed mass. This would be inconsist<strong>en</strong>t<br />

with the i<strong>de</strong>a that seedlings from <strong>la</strong>rger see<strong>de</strong>d species are better provisioned to <strong>de</strong>al<br />

with hazards than those of smaller see<strong>de</strong>d species (Gre<strong>en</strong> and Juniper 2004). For the<br />

metabolic effect to be supported, the r<strong>el</strong>ationship betwe<strong>en</strong> the seed mass and RGR<br />

should be significant and negative. For the seedling size effect to be supported there<br />

should be a positive r<strong>el</strong>ationship betwe<strong>en</strong> the seed mass and the seedling biomass.<br />

Firstly, these r<strong>el</strong>ationships were evaluated for each of the four species, and secondly<br />

within the species for each of the mother trees.<br />

We set up a mixed mo<strong>de</strong>l ANCOVA to study the effects of mother tree (random<br />

factor) and seed mass (covariable) on differ<strong>en</strong>t variables (time of emerg<strong>en</strong>ce, total leaf<br />

area, effici<strong>en</strong>cy of use of reserves, RMF, SMF, LMF, LAR). Wh<strong>en</strong> necessary, a<br />

logarithmic transformation of the data was ma<strong>de</strong> to fulfill the requirem<strong>en</strong>ts of<br />

normality and variance homog<strong>en</strong>eity (Zar, 1984). The statistical analyses were done<br />

using STATISTICA (version 7.1, Statsoft Inc.).<br />

Significance was fixed at the 0.05 lev<strong>el</strong> throughout the study. In or<strong>de</strong>r to control<br />

the inf<strong>la</strong>tion of type I error <strong>de</strong>rived from repeated testing, the false discovery rate<br />

57

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