Electronic Supplementary Material Modeling invasion risk for coastal marine species utilizing environmental and transport vector data Electronic Supplementary Material Figure Captions: ESM Fig. 1 Projected binary environmental suitability (ES) for models trained with only Global Biodiversity Information Facility (GBIF) occurrence records and corresponding bias grids showing suitable environments based on minimum only (yellow) and minimum and 10 percent (red) training presence logistic threshold. Blue represents areas that are not modeled as suitable. A: Carcinus maenas; B: Charybdis hellerii; C: Charybdis japonica; D: Hemigrapsus sanguineus; E: Rhithropanopeus harrisii. ESM Fig. 2 Projected binary environmental suitability (ES) for models trained with GBIF and literature occurrence records without the inclusion of a bias grid showing suitable environments based on minimum only (yellow) and minimum and 10 percent (red) training presence logistic thresholds. Blue represents areas that are not modeled as suitable. A: Carcinus maenas; B: Charybdis hellerii; C: Charybdis japonica; D: Hemigrapsus sanguineus; E: Rhithropanopeus harrisii. ESM Fig. 3 Occurrence record locations (native and non-native from all sources) for Carcinus maenas, Charybdis hellerii, Charybdis japonica, Hemigrapsus sanguineus, and Rhithropanopeus harrisii along with locations of major world ports (N=208; black triangles). Contents: GBIF Citations and Acknowledgements Supplementary Literature Citations R Code Please contact the author for information regarding more details concerning port lists, R code, and specific data used in this manuscript beyond what is included within. 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Contact R. Crafton for details or questions #Load the following libraries (install if necessary) library(raster) library(dismo) library(gdistance) library(fields) #Set working directory (fill in parentheses) setwd() #import raster of region of interest r<-paste(file.choose()) r<-raster(r) projection(r)<-"+proj=longlat +datum=WGS84" # sets the projection r[!is.na(r)]<-1 # converts all non-NA values to 1 #One option to retrieve data from Global Biodiversity Information Facility for georeferenced (with coordinates). #Specify Species names in the n-row (numSpp) by 2 column matrix with Genus in col 1 and species in col 2 #Alternately, can download directly from http://www.gbif.org/occurrence numSpp<- 1 #fill in number of species SppList<-matrix(nrow=numSpp,ncol=2) #populate species of interest using col 1 for genus and col 2 for species SppData<-matrix(nrow=0,ncol=0) #create empty matrix to be populated by dataretrieval function gbif for(w in 1:nrow(SppList)){ temp<-gbif(genus=paste(SppList[w,1]),species=paste(SppList[w,2]),geo=TRUE) SppData<-rbind(SppData,temp) } #for loop to retrieve data of interest rm(temp) #Creates data.frame of Species Name, Longitude, Latitude from GBIF data #Alternately import comparable data as csv file from directly downloaded data occurrences<-data.frame(as.factor(SppData[,1]),as.numeric(SppData[,8]),as.numeric(SppData[,7])) occurrences<-read.csv(file.choose()) #alternate method to read in data by choosing file, this method is preferred if using data other than GBIF or if adding supplemental data #center georeference for each cell and find unique entries cell<-cellFromXY(r,occurrences[,2:3]) 10 cellXY<-xyFromCell(r,cell) occurrences[,2:3]<-cellXY occurrences<-unique(occurrences) #removes all duplicate values based on identical raster cell #extracts values from the background raster [r] to ensure that all points are over desired terrain. Binds the longitude latitude data set with extract value data sets. occurrences<-cbind(occurrences,extract(r,occurrences[,2:3])) colnames(occurrences)<-c('Species','Longitude','Latitude','Extract') #renames columns to for clarity ##To correct occurrence records near terrain of interest but not immediately over terrain (extract value of NA) #subsets the data into those rows that are over terrain of interest (occurrences.not.na) and not (occurrences.na) occurrences.na<-subset(occurrences,is.na(occurrences[,4])) occurrences.not.na<-subset(occurrences,!is.na(occurrences[,4])) #Calculates the closest terrain of interest point for the data not over terrain. #If there is no desired terrain close to the datum, then NA is returned. #Example is for a global data set between 70 degrees south and 70 degress north NAclose<-matrix(nrow=0,ncol=6,data=NA) #create empty data matrix for corrected occurrence records buffer<- 1 #fill in distance (in coordinate units; degrees in this example) for acceptable buffer for corrected points colnames(NAclose)<-c('Species','Longitude','Latitude','Extract','x','y') for(w in 1:nrow(occurrences.na)) { if(occurrences.na[w,3] >= 70 | occurrences.na[w,3] <= -70 | is.na(occurrences.na[w,3])){ #identifies data points outside of 70 degrees south - 70 degrees north and categorizes them as NA for final dataset xy<-cbind(NA,NA) temp<-cbind(occurrences.na[w,],xy) colnames(temp)<-c('Species','Longitude','Latitude','Extract','x','y') NAclose[w,]<-temp} else{ ext<-extent(c(occurrences.na[w,2]-buffer,occurrences.na[w,2]+buffer,occurrences.na[w,3]buffer,occurrences.na[w,3]+buffer)) #creates correctable window around occurrence record map<-crop(r,ext) dist<-distanceFromPoints(map,occurrences.na[w,2:3]) dist<-mask(dist,map) xy<-Which(dist==cellStats(dist,min),cells=TRUE) xy<-xy[1] if(is.na(xy)) { xy<-cbind(NA,NA) temp<-cbind(occurrences.na[w,],xy) colnames(temp)<-c('Species','Longitude','Latitude','Extract','x','y') NAclose[w,]<-temp} if(!is.na(xy)){ xy<-xyFromCell(dist,xy) temp<-cbind(occurrences.na[w,],xy) colnames(temp)<-c('Species','Longitude','Latitude','Extract','x','y') NAclose<-rbind(NAclose,temp)}}} 11 #compare new and old coordinates, remove any remaining NA data, and combine the non.na data with the corrected data occurrences.na.fixed<-occurrences.na occurrences.na.fixed[,2:3]<-NAclose[,5:6] occurrences.na.fixed<-subset(occurrences.na.fixed,!is.na(occurrences.na.fixed[,2])) occurrences.complete<-rbind(occurrences.not.na[,1:3],occurrences.na.fixed[,1:3]) Occurrences.complete<-unique(occurrences.complete) Occ<-Occurrences.complete #rename fixed occurrence dataset for ease #to creat bias raster using Gaussian weighted bias grid for Species 1 (SppOne) points<-cbind(seq(1,ncell(r),by=1),getValues(r)) points<-subset(points,points[,2]==1) cells<-points[,1] points.xy<-as.matrix(xyFromCell(r,points[,1])) SppOne<- paste(SppList[1,1],SppList[1,2]) SppOne.xy<-as.matrix(Occ[Occ[,1]==SppOne,2:3]) #creates a matrix of xy coordinates for Species One tr<-transition(r, transitionFunction=mean, directions=8) #creates a transition layer using mean value of eight adjacent cells, see gdistance r package vignette (van Etten 2012) trC<-geoCorrection(tr,type='c') #corrects the transition layer for being a longlat coordinates, see gdistance vignette cosDistMatrix<-matrix(nrow=nrow(SppOne.xy),ncol=nrow(points.xy), data=NA) #creates the matrix to be populated by the least cost distance function for(w in 1:nrow(SppOne.xy)){ cosDistMatrix[w,]<-costDistance(trC,SppOne.xy[w,],points.xy) } unit<-pointDistance(xyFromCell(r,3025958),xyFromCell(r,3025959),longlat=TRUE) #calculates the geographic distance between two sets of points on a sphere in meters dist<-costDistance(trC,xyFromCell(r,3025958),xyFromCell(r,3025959)) #calculates the cost for the same distance as unit conv<-as.numeric(unit/dist) #conversion factor for cost to meters #Gaussian bias grid with distance in meters and standard deviation in meters stdev<- 20000 #fill in standard devation in meters bgeffort<- 0.01 #fill in background effort level to ensure raster has all values >0 or NA DMmeters<-cosDistMatrix*conv #converts costs between occurrence records and background cells into meters GD<-exp(-(DMmeters^2)/(2*stdev^2)) #function to calculate matrix of Gaussian weights for distance between all background cells and occurrence records. Each row represents a single occurrence record while each column is one background point CS<-colSums(GD) #sums guassian distances from each occurrence by background raster point to determine final bias weight for each background point BiasMatrix<-cbind(cells,CS) #binds cell number with weight to allow for creation of raster BiasRaster<-r BiasRaster[BiasMatrix[,1]]<-BiasMatrix[,2] #creates Bias raster based on calculated weights BiasRaster<-BiasRaster+bgeffort writeRaster(BiasRaster,'BiasRaster.asc') #write bias raster in ascii format to use in MaxEnt 12 ## Use calculated occurrence records, environmental data, and bias raster to run MaxEnt model in MaxEnt software. Options are available to run in R, but are not presented here. ##To calculate Introduction likelihood based on distance to port ports<-read.csv(file.choose()) #select csv file that has port list including columns for port name, longitude, latitude ports.xy<-as.matrix(ports[,2:3]) PortDistmat<-costDistance(trC,ports.xy,points.xy) #calculate distance betweeen ports and background points PortDistmat_Meters<-PortDistmat*conv PortDist_Meters.min<-apply(PortDistmat_Meters,2,min) PortDistRaster<-r PortDistRaster[cells]<-PortDist_Meters.min inv<-read.csv(file.choose()) #import invasive occurrence records for all species SppOne.inv<-inv[inv[,1]==SppOne,] SppOne.inv.xy<-as.matrix(SppOne.inv[,2:3]) #subset invasive records for Species One SppOne.PortDist<-costDistance(trC,SppOne.inv.xy,ports.xy) #calculates least cost distance between every Species One invasive occurrence record and port SppOne.PortDist_Meters<-SppOne.PortDist*conv #converts least cost distance into meters SppOne.inv$PortDist<-apply(SppOne.PortDist_Meters,1,min) #finds the closest port to each occurrence record write.csv(SppOne.inv,'SppOneInvasive_PortDistance.csv') # Repeat for additional species ## Calculate inverse cumulative probability for each species and aggregated across all species (done in Excell for ease of visualization) #Create raster of inverse cumulative probably of observing occurrence records farther from port InverseProb<-read.csv(file.choose()) #Import csv file of inverse cumulative probability into r with two columns (distance from port in meters, inverse cumulative probablity of observing an occurrence record aggregated for all species) PortDistRaster.Scale<-PortDistRaster for (w in 1:(nrow(InverseProb)-1)){ PortDistRaster.Scale[PortDistRaster.Scale>=InverseProb[w,1]&PortDistRaster.Scale<InverseProb[w+1,1]]<InverseProb[w,2] } PortDistRaster.Scale[PortDistRaster.Scale>=InverseProb[nrow(InverseProb),1]]<-0 writeRaster(PortDistRaster.Scale,'PortDistRaster_Scale.asc') ## Import ascii output from MaxEnt and plot as desired using Raster package, retrieve threshold values from MaxentResults.csv to plot threshold plots (e.g. Fig 1 and 2) ## Plot PortDistRaster.Scale and underlying data as desired (e.g. Fig 3 and Fig 4) ## Combine data from MaxEnt output and Introduction likelihood data to determine invasion risk and plot as desired (e.g. Fig 5) 13 ESM Supplementary Material Citations for occurrence data for Global Biodiversity Information Facility (GBIF) and literature sources along with select R code modified from this project. 14