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Elevation as an occupancy determinant of the little red brocket deer (Mazama rufina) in the Central Andes of Colombia

Diego J. Lizcano, Silvia J. Alvarez, Vanessa Diaz, Diego R. Gutierrez and Hugo Mantilla 22/01/2020

Code and data for the article: Elevation as an occupancy determinant of the little red brocket deer (Mazama rufina) in the Central Andes of Colombia. https://doi.org/10.15446/caldasia.v43n2.85449

DOI

load packages

library (raster) # raster
library (sf) # vector maps
library (unmarked) # Occupancy
library (tidyverse) # data manipulation
library (lubridate) # dates
library (readxl) # read excel
library (readr) # read csv
library (tmap) # nice maps
library (tmaptools) # more maps
library (osmdata) # read osm data
library (OpenStreetMap) # osm maps 
library (grid) # mix maps
library (GADMTools) # subset GADM
library (rasterVis) # improve raster vis

Load data

# read photo data in object y_full. Columns are days and rows sites
# load("data/y_full.RData") # if you got the repo in hard disk
ydata <- "https://github.com/dlizcano/Mazama_rufina/blob/main/data/y_full.RData?raw=true"
load(url(ydata))

# read camera location
# cams_loc_QR <- read.csv("data/cams_location.csv") # if you got the repo in hard disk
camdata <- "https://raw.githubusercontent.com/dlizcano/Mazama_rufina/main/data/cams_location.csv"
cams_loc_QR <- read_csv(url(camdata))

Initial Spatial Manipulation

# convert to sf
cams_loc_QR_sf <- st_as_sf(cams_loc_QR, coords = c("Longitud", "Latitud"), crs = "+proj=longlat +datum=WGS84 +no_defs")

centroid <- c(mean(cams_loc_QR$Longitud), mean(cams_loc_QR$Latitud))
clip_window <- extent(-75.60 , -75.39, 4.59, 4.81)
bb <- c(-75.60, 4.59, -75.39,  4.81)

# get spatial data
srtm <- raster::getData('SRTM', lon=centroid[1], lat=centroid[2])

# crop the  raster using the vector extent
srtm_crop <- crop(srtm, clip_window)

# elevation.crop and terrain covs
elevation <- srtm_crop
slope<-terrain(srtm_crop, opt="slope", unit='degrees', neighbors=8)
aspect<-terrain(srtm_crop, opt="aspect", unit='degrees', neighbors=8)
roughness <- terrain(srtm_crop, opt = c("roughness"))

cov.stack<-stack(elevation, slope, aspect, roughness)
names(cov.stack) <- c("elevation", "slope", "aspect", "roughness" )
plot(cov.stack)

# extract covariates
cam_covs <- raster::extract(cov.stack, cams_loc_QR_sf)
full_covs <- as.data.frame(cam_covs) # convert to Data frame
full_covs_1 <- scale(full_covs)
full_covs_s <- as.data.frame(full_covs_1)
full_covs_s$camara <- cams_loc_QR$camara # add camera name

Study area figure 1

########## figure 1
data_box <- st_as_sfc(st_bbox(cams_loc_QR_sf)) #bounding box

# pal = mapviewPalette("mapviewTopoColors")
# get fondo de osm
andes_osm1 <- read_osm(bb, zoom = NULL, type="stamen-terrain", mergeTiles = TRUE) # type puede ser tambien bing, osm # type puede ser tambien bing, osm
colombia <-  gadm_sf_loadCountries("COL", level=1, basefile="./")
collimit <- gadm_sf_loadCountries("COL", level=0, basefile="./")

deptos <- gadm_subset(colombia, regions=c("Risaralda", "Quindío"))


depto_window <- qtm(andes_osm1)  + 
  tm_shape(cams_loc_QR_sf) + 
  tm_dots(col = "red", size = 0.2, 
          shape = 16, title = "Sampling point", legend.show = TRUE,
          legend.is.portrait = TRUE,
          legend.z = NA) + 
  tm_layout(scale = .9) +
  # legend.position = c(.78,.72), 
  # legend.outside.size = 0.1,
  # legend.title.size = 1.6,
  # legend.height = 0.9,
  # legend.width = 1.5,
  # legend.text.size = 1.2) + 
  # legend.hist.size = 0.5) + 
  tm_legend(position = c("left", "bottom"), frame = TRUE,
            bg.color="white") + 
  tm_layout(frame=F) + tm_scale_bar() + tm_compass(position = c(.75, .82), color.light = "grey90") 

dep_map <-  tm_shape(deptos$sf) + tm_polygons() +
  tm_shape(data_box) + tm_symbols(shape = 0, col = "red", size = 0.25)
col_map <- tm_shape(collimit$sf) + tm_polygons() + tm_shape(deptos$sf) + tm_polygons()

##### print all
depto_window
print(dep_map, vp = viewport(0.73, 0.40, width = 0.25, height = 0.25))
print(col_map, vp = viewport(0.73, 0.65, width = 0.25, height = 0.25))

Occupancy Analisys

#############
# Occu analisys

# Make unmarked frame
umf_y_full<- unmarkedFrameOccu(y= y_full[,1:108])
siteCovs(umf_y_full) <- full_covs_s # data.frame(Elev=full_covs$Elev) # Full
#######Graficar umf
plot(umf_y_full)

# build  models
mf0<-occu(~1 ~ 1, umf_y_full)
mf1<-occu(~1 ~ elevation, umf_y_full)
mf2<-occu(~1 ~ elevation +I(elevation^2), umf_y_full)
mf3<-occu(~1 ~ slope, umf_y_full)
mf4<-occu(~1 ~ aspect, umf_y_full)
mf5<-occu(~1 ~ roughness, umf_y_full, starts = c(0.6, -3, 0))
mf6<-occu(~elevation +I(elevation^2) ~ elevation +I(elevation^2), umf_y_full)
mf7<-occu(~roughness ~ elevation +I(elevation^2), umf_y_full)
mf8<-occu(~slope ~ elevation +I(elevation^2), umf_y_full)


# fit list
fms1<-fitList("p(.) Ocu(.)"=mf0,
              "p(.) Ocu(elev)"=mf1,
              "p(.) Ocu(elev^2)"=mf2,
              "p(.) Ocu(slope)"=mf3,
              "p(.) Ocu(aspect)"=mf4,
              "p(.) Ocu(roughness)"=mf5,
              "p(elev^2) Ocu(elev^2)"=mf6,
              "p(roughness) Ocu(elev^2)"=mf7,
              "p(slope) Ocu(elev^2)"=mf8
)


modSel(fms1)
##                          nPars    AIC delta   AICwt cumltvWt
## p(roughness) Ocu(elev^2)     5 359.00  0.00 8.4e-01     0.84
## p(slope) Ocu(elev^2)         5 362.46  3.46 1.5e-01     0.99
## p(.) Ocu(elev^2)             4 368.33  9.33 7.9e-03     0.99
## p(.) Ocu(elev)               3 369.73 10.73 3.9e-03     1.00
## p(elev^2) Ocu(elev^2)        6 372.25 13.25 1.1e-03     1.00
## p(.) Ocu(aspect)             3 374.04 15.03 4.6e-04     1.00
## p(.) Ocu(roughness)          3 378.38 19.37 5.2e-05     1.00
## p(.) Ocu(.)                  2 417.05 58.05 2.1e-13     1.00
## p(.) Ocu(slope)              3 419.05 60.05 7.7e-14     1.00
# print(fms1)


pb_f <- parboot(mf7, nsim=500, report=10) 
## t0 = 36.31634
plot (pb_f)

newdat_range<-data.frame(elevation=seq(min(full_covs_s$elevation),
                                       max(full_covs_s$elevation),length=100), 
                         roughness=seq(min(full_covs_s$roughness),
                                       max(full_covs_s$roughness), length=100))


## plot Detection en escala estandarizada
pred_det <-predict(mf7, type="det", newdata=newdat_range, appendData=TRUE)
plot(Predicted~roughness, pred_det,type="l",col="blue", 
     xlab="roughness",
     ylab="Probabilidad de detección")
lines(lower~roughness, pred_det,type="l",col=gray(0.5))
lines(upper~roughness, pred_det,type="l",col=gray(0.5))

### plot occupancy en escala estandarizada
pred_psi <-predict(mf7, type="state", newdata=newdat_range, appendData=TRUE) 
plot(Predicted~elevation, pred_psi,type="l",col="blue", ylim=c(0,0.95),
     xlab="Altitud",
     ylab="Probabilidad de ocupación")
lines(lower~elevation, pred_psi,type="l",col=gray(0.5))
lines(upper~elevation, pred_psi,type="l",col=gray(0.5))

## plot Detection en escala original
pred_det <-predict(mf7, type="det", newdata=newdat_range, appendData=TRUE)
plot(Predicted~roughness, pred_det,type="l",col="blue", 
     xlab="Roughness",
     ylab="Detection Probability",
     xaxt="n")
xticks <- c(-1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3) # -1:2
xlabs <- xticks*sd(full_covs$roughness) + mean(full_covs$roughness) #Use the mean and sd of original value to change label name
axis(1, at=xticks, labels=round(xlabs, 1))
lines(lower~roughness, pred_det,type="l",col=gray(0.5))
lines(upper~roughness, pred_det,type="l",col=gray(0.5))

###  Plot occupancy en escala original
plot(Predicted ~ elevation, pred_psi, type="l", ylim=c(0,1), col="blue",
     xlab="Elevation",
     ylab="Occupancy Probability",
     xaxt="n")
xticks <- c(-1, -0.5, 0, 0.5, 1, 1.5, 2)  # -1:2
xlabs <- xticks*sd(full_covs$elevation) + mean(full_covs$elevation) #Use the mean and sd of original value to change label name
axis(1, at=xticks, labels=round(xlabs, 1))
lines(lower ~ elevation, pred_psi, type="l", col=gray(0.5))
lines(upper ~ elevation, pred_psi, type="l", col=gray(0.5))

Spatially Explicit Detection Model.

library(RColorBrewer)

srtm_crop_s <- stack(scale(elevation), 
                     scale(roughness)) # scale altitud
names(srtm_crop_s) <- c("elevation", "roughness")
crs(srtm_crop_s) <- "+proj=longlat +datum=WGS84 +ellps=WGS84 +towgs84=0,0,0"

pred_p_s <-predict(mf7, type="det", newdata=srtm_crop_s) 
##   doing row 1000 of 66528 
##   WAIT!!!...
##   doing row 66000 of 66528
pred_p_r <- pred_p_s * sd(full_covs$roughness) + mean(full_covs$roughness)
crs(pred_p_r) <- "+proj=longlat +datum=WGS84 +ellps=WGS84 +towgs84=0,0,0"
clr <- colorRampPalette(brewer.pal(9, "YlGn"))

#mapview (pred_p_r[[1]], col.regions = clr,  legend = TRUE, alpha=0.7)

# plot(pred_psi_s[[1]], main="Detection", col = topo.colors(20))
levelplot(pred_p_s[[1]], par.settings = YlOrRdTheme(), margin=FALSE, main="Detection")

Spatially Explicit Occupancy Model.

library(RColorBrewer)

# srtm_crop_s <- stack(scale(elevation), 
#                      scale(roughness)) # scale altitud
# names(srtm_crop_s) <- c("elevation", "roughness")
# crs(srtm_crop_s) <- "+proj=longlat +datum=WGS84 +ellps=WGS84 +towgs84=0,0,0"

pred_psi_s <-predict(mf7, type="state", newdata=srtm_crop_s) 
##   doing row 1000 of 66528 
##   WAIT!!!...
##   doing row 66000 of 66528
pred_psi_r <- pred_psi_s * sd(full_covs$elevation) + mean(full_covs$elevation)
crs(pred_psi_r) <- "+proj=longlat +datum=WGS84 +ellps=WGS84 +towgs84=0,0,0"
clr <- colorRampPalette(brewer.pal(9, "YlGn"))

# mapview (pred_psi_r[[1]], col.regions = clr,  legend = TRUE, alpha=0.7)

# plot(pred_psi_s[[1]], main="Occupancy")

levelplot(pred_psi_r[[1]], par.settings = YlOrRdTheme(), margin=FALSE, main="Ocupancy")

Session Info

Details and pakages used

print(sessionInfo(), locale = FALSE)
## R version 4.0.3 (2020-10-10)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 14393)
## 
## Matrix products: default
## 
## attached base packages:
## [1] grid      stats     graphics  grDevices utils     datasets  methods  
## [8] base     
## 
## other attached packages:
##  [1] RColorBrewer_1.1-2  rasterVis_0.49      latticeExtra_0.6-29
##  [4] GADMTools_3.8-1     rgdal_1.5-19        classInt_0.4-3     
##  [7] OpenStreetMap_0.3.4 osmdata_0.1.4       tmaptools_3.1      
## [10] tmap_3.2            readxl_1.3.1        lubridate_1.7.9.2  
## [13] forcats_0.5.0       stringr_1.4.0       dplyr_1.0.2        
## [16] purrr_0.3.4         readr_1.4.0         tidyr_1.1.2        
## [19] tibble_3.0.4        ggplot2_3.3.3       tidyverse_1.3.0    
## [22] unmarked_1.0.1      lattice_0.20-41     sf_0.9-6           
## [25] raster_3.4-5        sp_1.4-4           
## 
## loaded via a namespace (and not attached):
##  [1] bitops_1.0-6        fs_1.5.0            httr_1.4.2         
##  [4] tools_4.0.3         backports_1.2.1     R6_2.5.0           
##  [7] KernSmooth_2.23-18  rgeos_0.5-5         DBI_1.1.0          
## [10] colorspace_2.0-0    withr_2.3.0         gridExtra_2.3      
## [13] tidyselect_1.1.0    leaflet_2.0.3       curl_4.3           
## [16] compiler_4.0.3      leafem_0.1.3        cli_2.2.0          
## [19] rvest_0.3.6         xml2_1.3.2          scales_1.1.1       
## [22] hexbin_1.28.1       digest_0.6.27       foreign_0.8-81     
## [25] rmarkdown_2.6       jpeg_0.1-8.1        base64enc_0.1-3    
## [28] dichromat_2.0-0     pkgconfig_2.0.3     htmltools_0.5.0    
## [31] dbplyr_2.0.0        htmlwidgets_1.5.3   rlang_0.4.10       
## [34] rstudioapi_0.13     generics_0.1.0      zoo_1.8-8          
## [37] jsonlite_1.7.2      crosstalk_1.1.0.1   magrittr_2.0.1     
## [40] Rcpp_1.0.5          munsell_0.5.0       fansi_0.4.1        
## [43] abind_1.4-5         lifecycle_0.2.0     stringi_1.5.3      
## [46] leafsync_0.1.0      yaml_2.2.1          MASS_7.3-53        
## [49] plyr_1.8.6          maptools_1.0-2      parallel_4.0.3     
## [52] crayon_1.3.4        stars_0.4-3         haven_2.3.1        
## [55] hms_0.5.3           knitr_1.30          pillar_1.4.7       
## [58] rjson_0.2.20        codetools_0.2-18    reprex_0.3.0       
## [61] XML_3.99-0.5        glue_1.4.2          evaluate_0.14      
## [64] modelr_0.1.8        vctrs_0.3.6         png_0.1-7          
## [67] RgoogleMaps_1.4.5.3 cellranger_1.1.0    gtable_0.3.0       
## [70] assertthat_0.2.1    xfun_0.19           lwgeom_0.2-5       
## [73] broom_0.7.3         e1071_1.7-4         rosm_0.2.5         
## [76] ggspatial_1.1.5     class_7.3-17        viridisLite_0.3.0  
## [79] rJava_0.9-13        ggmap_3.0.0         units_0.6-7        
## [82] ellipsis_0.3.1

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Elevation as an occupancy determinant of the little red brocket deer (_Mazama rufina_) in the Central Andes of Colombia

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