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38<br />

Study <strong>de</strong>sign<br />

We first tested if changes in abundance of porcupines cone<strong>la</strong>ted with so<strong>la</strong>r irradiance<br />

<strong>du</strong>ring the study period. Second, we tested if so<strong>la</strong>r irradiance cone<strong>la</strong>ted with local weather<br />

variables. Then, we estimated winter and summer <strong>sur</strong>vival of porcupines from May 2000 to<br />

May 2005 in or<strong>de</strong>r to test for an effect of local weather on <strong>sur</strong>vival. Because time-<strong>la</strong>g effects<br />

of weather on phenotypic and <strong>de</strong>mographic traits can be important (Post & Stens<strong>et</strong>h 1999,<br />

Post 2005), we investigated for a direct and for a <strong>de</strong><strong>la</strong>yed <strong>influence</strong> of environmental<br />

covariates on <strong>sur</strong>vival (<strong>la</strong>gs 1-2 years). Finally, to d<strong>et</strong>ermine which age-c<strong>la</strong>ss was the most<br />

sensitive to changes in local weather, and wh<strong>et</strong>her changes in <strong>sur</strong>vival were mainly <strong>du</strong>e to<br />

changes in predation or starvation rates, we examined causes of mortality according to year,<br />

season and age c<strong>la</strong>sses.<br />

Re<strong>la</strong>tionship b<strong>et</strong>ween abundance of porcupines and so<strong>la</strong>r irradiance<br />

We used estimates of popu<strong>la</strong>tion size to calcu<strong>la</strong>te popu<strong>la</strong>tion growth rate as:<br />

r f = N f + 1 /N f<br />

(1)<br />

in which r f is popu<strong>la</strong>tion growth rate for year t, Nf is popu<strong>la</strong>tion size in year t and N f + / is<br />

popu<strong>la</strong>tion size in the following year. We used a Pearson corre<strong>la</strong>tion to test for an association<br />

b<strong>et</strong>ween popu<strong>la</strong>tion growth rate and total so<strong>la</strong>r irradiance monitored with absolute<br />

radiom<strong>et</strong>ers p<strong>la</strong>ced onboard satellites (daily irradiance in W/m 2 as calcu<strong>la</strong>ted by Frohlich<br />

(2000), averaged over a year). We obtained so<strong>la</strong>r irradiance data from the World Radiation<br />

Center (Physicalisch-M<strong>et</strong>eorologisches Observatorium Davos, PMOD/WRC, Switzer<strong>la</strong>nd,<br />

unpublished data from the VIRGO Experiment on the cooperative ESA/NASA Mission<br />

SoHO) and standardized it ((value - mean)/SD) before analyses. So<strong>la</strong>r irradiance is more<br />

likely to be a biologically and <strong>climat</strong>ically explicative mea<strong>sur</strong>e of the so<strong>la</strong>r activity than the<br />

traditionally used sunspot number (Klvana <strong>et</strong> al. 2004). However, we also perfonned analyses<br />

using the sunspot number (obtained from the World Data Center for the Sunspot In<strong>de</strong>x),<br />

given its wi<strong>de</strong>spread lise in the ecological literature. We found simi<strong>la</strong>r results using either<br />

mea<strong>sur</strong>e so results using sunspot numbers are not shown. Below we use so<strong>la</strong>r activity and<br />

so<strong>la</strong>r inadiance as synonyms.<br />

Re<strong>la</strong>tionships b<strong>et</strong>ween so<strong>la</strong>r irradiance and local weather variables<br />

We used Pearson corre<strong>la</strong>tions to test for a corre<strong>la</strong>tion b<strong>et</strong>ween so<strong>la</strong>r irradiance and<br />

weather variables. Based on Klvana <strong>et</strong> al. (2004), we consi<strong>de</strong>red three weather variables:

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