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Supplemental Information

Analysis of the variation coefficient of the Normalized Vegetation Index (CV NDVI)

The variation coefficient of the Normalized Vegetation Index (CV NDVI) was calculated in each pixel - of 250 m resolution - from MODIS MOD13Q1 satellite images of the period 2010 to 2014, available at https://lpdaac.usgs.gov. The average values of the CV NDVI in each segment (1.8 x 2 km2 see in the main paper the section “Density surface model (DSM)”) and in each cell (4 km2) of the prediction grid (see in the main paper the section “Abundance and variance estimation”) were calculated. The map of the spatial variation of the CV NDVI was constructed (Fig. SI.1.1a) and the boundaries of the vegetation units of Península Valdés - defined by Bertiller et al. (2017; Fig. SI.1.1b) - were superimposed (Fig. SI.1.1a). Then, the mean NDVI CV was calculated in each vegetation unit (Table SI.1.1). The behavior of the variable in each stratum was visualized by the 'box-plot' chart (Fig. SI.1.2), while the significant differences were evaluated by means of Wilcoxon rank sum test (Table SI.1.1).

DOI: 10.7287/peerj.preprints.27380v1/supp-1

Concurvity measures between smooth terms

As we described in the article, we evaluated concurvity measures between smooth terms throughout the model fitting procedure. Here we presented the pairwise concurvity measures by three related indices (worst, observed and estimated) for the base model of the Tweedie response distribution (Tables SI.2.1, SI.2.2 and SI.2.3), and for the final model selected (Tables SI.2.4, SI.2.5 and SI.2.6).

DOI: 10.7287/peerj.preprints.27380v1/supp-2

Spatial autocorrelation in the residuals

Spatial autocorrelation in the residuals was evaluated using the ‘dsm.cor’ function of the‘dsm’ package. As described in the article, the correlogram show a small amount of spatial autocorrelation in the residuals (Fig. SI3.1). The confidence interval increased in width as the number of lags increased.

DOI: 10.7287/peerj.preprints.27380v1/supp-3

Count data: number of observations, group size and segment coordinates

DOI: 10.7287/peerj.preprints.27380v1/supp-4

Segment data

Location and variables that define each segment

DOI: 10.7287/peerj.preprints.27380v1/supp-5

Additional Information

Competing Interests

The authors declare that they have no competing interests.

Author Contributions

Milagros Antun conceived and designed the experiments, performed the experiments, analyzed the data, prepared figures and/or tables, authored or reviewed drafts of the paper, approved the final draft.

Ricardo Baldi conceived and designed the experiments, contributed reagents/materials/analysis tools, prepared figures and/or tables, authored or reviewed drafts of the paper, approved the final draft.

Animal Ethics

The following information was supplied relating to ethical approvals (i.e., approving body and any reference numbers):

This research was approved by the Direccion de Fauna and Flora Silvestre de Chubut (permits 71/2014, 73/2015, and 69/2016). The study was purely observational and did not requiere any kind of manipulation of animals.

Field Study Permissions

The following information was supplied relating to field study approvals (i.e., approving body and any reference numbers):

Dirección de Conservación y Áreas Protegidas and the Dirección de Fauna y Flora Silvestre de la Provincia de Chubut (DF & FS-SSG, Permits Resolutions 71/2014, 73/2015, and 69/2016)

Data Deposition

The following information was supplied regarding data availability:

The raw data is provided in the supplementary file 4 and 6. The first file contains the Count data: number of observations,groups size, and geographic coordinates, while the file 6 indicates the segment data: the values of the natural, anthropic and proxy variables that caracterized each segment. The supplementary file 5 indicates the link that explained the modelling procedure that was implemented in this study.

Funding

The fieldwork was funded by the Wildlife Conservation Society. The Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) and the Fundación Vida Silvestre Argentina provided logistical support. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.


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