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Local and Global Climate Effects on Storm Petrel Demography

Table 1. All covariates used in the analyses, and their main characteristics.

Kind of covariateName                  Characteristics          label     Reference period                           demographic
                                                                                                                     parameters that could
                                                                                            Available years be influenced

Individual  Winter North Atlantic      global-scale covariates  WNAO      December-February 1991–2012                                Survival
Individual  oscillation
Individual
Individual  Temperature anomaly.       local scale breeding ground PBT    March-April       1991–2012                                Survival and breeding
            Pre-Breeding period        covariate
Individual
            Rainfall anomaly. Pre-     local scale breeding ground PBR    March-April       1991–2012                                Survival and breeding
Individual  Breeding period            covariate

Individual  North Atlantic             global-scale covariates  PBNAO     March-April       1991–2012                                Survival and breeding
Individual  oscillation. Pre-Breeding
Individual  period

Individual  Integrative climatic       PCA derived integrative  PC1PB     March-April       1991–2012                                Survival and breeding
Individual  index 1 Pre-Breeding       covariates
Individual  period
External
External    Integrative climatic       PCA derived integrative  PC2PB     March-April       1991–2012                                Survival and breeding
            index 2 Pre-Breeding       covariates
            period

            Temperature anomaly.       local scale breeding ground BT     May-August        1991–2012                                Survival and breeding
            Breeding period            covariate                          May-August        1991–2012                                Survival and breeding
                                                                          May-August        1991–2012                                Survival and breeding
            Rainfall anomaly.          local scale breeding ground BR
            Breeding period            covariate

            North Atlantic             global-scale covariates  BNAO
            oscillation. Breeding
            period

            Integrative climatic       PCA derived integrative  PC1B      May-August        1991–2012                                Survival and breeding
                                                                                                                                     Survival and breeding
            index 1 Breeding region covariates                                                                                       Survival and breeding
                                                                                                                                     Survival
            Integrative climatic       PCA derived integrative  PC2B      May-August        1991–2012                                Survival

            index 2 Breeding region covariates

            West Sicily Rainfall index PCA derived integrative  WSR       May-April         1991–2012
                                                covariates

            Sea surface temperature PCA derived integrative     SST       December - February 2001–2010
                                                covariates

            Chlorophille concentration PCA derived integrative  CHL       December - February 2001–2010
                                                covariates

In the table we reported time-dependent individual covariates as ‘‘individual’’ and environmental covariates as ‘‘external’’.
doi:10.1371/journal.pone.0094526.t001

subsequent age classes. The assumptions underlying our model                           2  W1|(1{Y1)                            W1Y1          3
are: a. detection probability of non-breeders and skippers is zero;                                                             W2   1{W1
b. once in the breeder state, individuals cannot go back to the non            WY~46        0                                    0   1{W2 75,
breeder state; c. there is an age from which the probability of
becoming a breeder (probability of transition from non breeder to                           0                                           1
breeder) levels off at a constant value. As a consequence, at a given
sampling occasion, an animal may be a pre-breeder (a juvenile of                               23
one year or more, not yet recruiting, state PB), breeder (adults after                             p 00
first breeding are generally considered breeders, state B), or dead
(state dead, unobservable). The following observations may be                             B~64 1{p 0 p 75:
made: ‘1’ (if detected as chick), ‘2’ (if detected as adult) and ‘0’ (if                           1 00
not detected). We tested the full recruitment age (the age at which
any bird has become a breeder) and the age of full breeding                  Columns of the matrix P and WY correspond respectively to
(considering the probability of becoming a breeder as a function of
age). To address age variation in the probability of becoming a           state PB, B and dead, columns of the matrix B correspond to the
breeder, we used only individuals of known age, i.e., only those
ringed as chicks (3135), considering ringing as chicks as first           observations ‘non detected’ and ‘detected’ while rows of the
capture event. We define the initial state vector P, the transition       matrices WY and B correspond respectively to state PB, B, and
matrix WY (survival multiplied by transition between states               dead. W1denotes the pre-breeder survival, W2 the adult survival,
conditional on survival) and the event matrix B.                          Y1is the probability of becoming a breeder and p is the detection
                                                                          probability.
                            P~½ p 1{p 0Š ,
                                                                             Individuals are first captured as PB and then become B; p
                                                                          denotes the proportion of newly marked in state PB. W16Y1
                                                                          represents the probability that a pre-breeder survives and attempts

PLOS ONE | www.plosone.org                                                3 April 2014 | Volume 9 | Issue 4 | e94526
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