Agrilus biguttatus National Survey Sample Areas for the Conterminous US (Fabricius.) Oak Splendor Beetle. Data format: Raster Dataset - ESRI Shapefile File or table name: a_big_sample_areas Coordinate system: Albers Conical Equal Area Theme keywords: : Forest Pest, Forest Insect, Invasive Species, Exotic, Oak Splendor Beetle, Agrilus biguttatus, Susceptibility, sample areas Abstract: The sample area Theissen were created by intersecting the susceptibility risk potential, by category, with a systematic sampling point grid. To attain higher levels of certainty in the higher risk categories, sample areas are intensified where risk of susceptibility is highest. FGDC and ESRI Metadata: • • • • • • • Identification Information Data Quality Information Spatial Data Organization Information Spatial Reference Information Entity and Attribute Information Distribution Information Metadata Reference Information Metadata elements shown with blue text are defined in the Federal Geographic Data Committee's (FGDC) Content Standard for Digital Geospatial Metadata (CSDGM). Elements shown with green text are defined in the ESRI Profile of the CSDGM. Elements shown with a green asterisk (*) will be automatically updated by ArcCatalog. ArcCatalog adds hints indicating which FGDC elements are mandatory; these are shown with gray text. Identification Information: Citation: Citation information: Originators: Downing, M.C.; F.H. Koch, R.A. Haack, F.J.; Sapio, W.D. Smith, D.M. Borchert. 2009. National Risk map products and documentation for the Oak Splendor Beetle (Agrilus bigutatus). Ft. Collins, CO: U.S. Department of Agriculture, Forest Service, Forest Health Technology Enterprise Team. http://www.fs.fed.us/foresthealth/technology/invasives_agrilusbiguttatus_riskmaps.shtml Title: Agrilus biguttatus National Survey Sample Areas for the Conterminous US. *File or table name: a_big_sample_areas * Publication date: 20100818 *Geospatial data presentation form: ESRI Shapefile Series information: Series name: Version 2.0 Issue identification: 20100818 Publication information: Publication place: Fort Collins, Colorado Publisher: Marla C. Downing Online linkage: http://www.fs.fed.us/foresthealth/technology/invasives_agriliusbiguttatus_riskmaps.shtml Larger work citation: Citation information: Originators: Downing, M.C.; F.H. Koch, R.A. Haack, F.J.; Sapio, W.D. Smith, D.M. Borchert. 2009. National Risk map products and documentation for the Oak Splendor Beetle (Agrilus bigutatus). Ft. Collins, CO: U.S. Department of Agriculture, Forest Service, Forest Health Technology Enterprise Team. http://www.fs.fed.us/foresthealth/technology/invasives_agrilusbiguttatus_riskmaps.shtml Description: Abstract: The sample area Theissen polygons shown here are created by intersecting the susceptibility risk surface, by category, with a systematic sampling point grid. To attain higher levels of certainty in the higher risk categories, sample areas Purpose: The product’s intended use is to develop a detection strategy for Agrilus biguttatus. Supplemental information: This project incorporates methods developed by Coulston, et al. (2006) to develop national scale sampling areas based on the Forest Health Technology Enterprise Team (FHTET) Agrilus biguttatus Susceptibility Surface. The process involved an equal weighted overlay of the Introduction potential and the Establishment potential. Reference Coulston, John W., Koch, F.H., Smith, W.D., Sapio, F.J. 2006. Developing Survey Grids to Substantiate Freedom from Exotic Pests. Proceedings of the Eight Annual Inventory and Analysis Symposium. http://www.forestthreats.org/publications/fhm/frankkoch/Developing_survey_grids_to_substantiate_freedom_from_exotic_pests.pdf Introduction Potential The Introduction Potential Surface for Agrilus biguttatus was produced for the Conterminous United States (CUS) in 1 square kilometer (km²) units by the U.S. Forest Service, Forest Health Technology Enterprise Team’s (FHTET) A. biguttatus Steering Committee. The product’s intended use is to develop a detection strategy for Agrilus biguttatus. Three primary datasets with standardized values from 0 to 10 were used as variables in the analysis. Each data set (Table 1) was used in a weighted overlay process where Principal Ports = 33.4% and Markets = 33.3%, and Distribution centers = 33.3%. The final Introduction Potential Surface output values also range from 0 to 10, with 10 having the highest potential of introduction. Each of the variables was used to depict potential locations where Agrilus biguttatus could be released into the CUS. To delineate Agrilus biguttatus potential flight range, a curvilinear distance decay value was assigned with a risk rating of 10 at the source location and decreasing to 0 at 5 kilometers away (Table 2). Principal Ports. Source: Army Corps of Engineer, Waterborne Commerce, Foreign Cargo Statistics (1996 to 2003). A summary of imported tonnage of commodities that use Wood Packing Material (WPM), the packing material associated with Buprestid species interceptions, recorded in the APHIS Pest Interception Network (PIN) 309 database. Only commodities exported from countries where A. biguttatus is present were included, countries of origin were not ranked. This point data was converted to 1 km² grid cells. For a list of specific countries and see commodities see Appendix A. United States Ports that received Commodities from Countries (listed below) were used: The Ports shapefiles are the result of querying a data set summarizing 8 years (1996-2003) of foreign marine cargo import information. These data have been compiled from Army Corps of Engineers waterborne commerce statistics, and then sorted by commodity type, foreign country of shipment origin, and U.S. port where the shipment arrived. Markets. Source: Federal Highway Administration, Freight Management and Operations, Freight Analysis Framework, Highway Truck Volume (HTV) and Capacity Data and Environmental Systems Research Institute’s (ESRI) City polygon Data. Flow/capacity data was used to determine the number of truck trips occurring within the city polygons, which were then used to define potential markets. Using a polygon data set from Environmental Systems Research Institute (ESRI) that depicts Cities in the United States an intersection was conducted. These City polygons were included as standard spatial data with the shipment of ArcGIS ver 9.3 in the year 2005. Next, the ESRI City Polygons were intersected with HTV. City polygons were selected that received any truck trips. Distribution Centers. Sources: National Transportation Atlas Database (2003). Distribution centers that handle commodities that likely use WPM during transport were considered; 1496 distribution center records were used, and 1510 locations were removed from the analysis. The Distribution Centers Polygons were selected from the ESRI City polygon data set (listed above). Then a distance decay function illustrated in table 2 was applied to these data. An additional 193 distribution centers were added. Cartesian coordinates were also provided by national retailers, including: FedEx, IKEA, Kmart, KOHL’s, Lowe’s, OfficeMax, PETCO, Target, The Home Depot, and Wal-Mart. Analysis Finally, each data set was used in a weighted overlay process where Principal Ports = 33.4% and Markets = 33.3%, and Distribution centers = 33.3%. Table 1 Introduction Variables Principal Ports Markets Distribution Centers Value Ranges 0 - 10 0 - 10 0 – 10 Table 2 Distance Decay for Probable Flight Range of Agrilus biguttatus Distance (kilometers) 0 (Source) > 1 and < = 2 GRID Value 10 (Extreme) 8 (High) > 2 and < = > 3 and < = = > 5 3 4 3 (Moderate) 1 (Low) 0 (Little or No) Establishment Potential The Establishment Potential Surface for Agrilus biguttatus was produced for the conterminous United States in 1 square kilometer (km²) units by the U.S. Forest Service (USFS), Forest Health Technology Enterprise Team’s (FHTET) Agrilus biguttatus Steering Committee; a multidisciplinary team with participation from USFS, Animal and Plant Health Inspection Service (APHIS), and North Carolina State University (NCSU). The Establishment component for A. biguttatus depicts where the pest could survive if it was introduced. If the pest is known to have already been introduced, it may be desirable to prioritize locations where the pest populations are most able to survive and may be expanding. In cases where it is unknown whether the pest has been introduced the Establishment Component should be used in conjunction with the Introduction component to develop a Susceptibility component for A. biguttatus. Supporting biological information was gathered from USDA Forest Service Research Station experts, scientific literature, and the Exotic Forest Pest (ExFor) website (North American Forest Commission, 2008) http://spfnic.fs.fed.us/exfor/data/pestreports.cfm?pestidval=154&langdisplay=english Purpose: The product’s intended use in conjunction with the Introduction Potential Surface is to develop a Susceptibility Potential Surface for A. biguttatus. Three datasets were used as parameters in the establishment analysis to determine the level of risk (hazard potential) A. biguttatus poses in areas where it could survive: 1. Natural Host (i.e. Quercus spp from FIA) (Appendix B) 2. Drought (from 2007 – 2009) (Appendix C) 3. Urban Forest Natural Host Source: USDA Forest Service, Forest Inventory and Analysis (FIA) program. Only species of Oaks (Quercus spp) contained in the FIA were considered (Appendix B). The Oak data were used as a presence absence input. That is, Oak, size, Trees/Acre, or basal area were not considered. Drought Source: USDA Forest Service, Forest Health Technology Enterprise Team (FHTET) (Appendix C). Extreme late spring or early summer drought conditions from the years of 2007 – 2009 were considered. These data were partitioned into 4 classes: 0 = No drought conditions were observed for all three years, 3 = drought conditions occurred for one year in the three year time period, 6 = drought conditions occurred for two years in the three year time period, and 10 = drought conditions occurred for three years in the three year time period. Urban Forest Source: USDA Forest Service, Forest Health Technology Enterprise Team (FHTET). The National Land Classification Data (NLCD) types Deciduous Forest or Mixed Forest was used as our urban forest input subset type. These data were filtered by urban areas as described by the City Light data set (Imhoff et al. 1997). The urban forest subset cell values were calculated by summing up the total area, in percent, of the NLCD cell (native cell size of NLCD is 30 meters by 30 meters) occupied within a 1 Km2 grid cell. Next, the data were partitioning into ten integer classes (1 – 10) using Jenks’ Natural breaks. Process Natural Host was modified by the drought producing a Disturbed Natural Host data set that contains values of 1, 3, 6, and 10. The Urban Forest was combined with the Disturbed Natural Host via a overly process. If Disturbed Natural Host was spatially coincident with Urban Forest the cell value was assigned to the Disturbed Natural Host data set. References Imhoff, M. L., W. T. Lawrence, C. D. Elvidge, T. Paul, E. Levine, M. V. Privalsky, and V. Brown. 1997. Using Nighttime DMSP/OLS Images of City Lights to Estimate the Impact of Urban Land Use on Soil Resources in the United States. REMOTE SENS. ENVIRON. 59:105–117. Susceptibility Potential The Introduction Potential and the Establishment Potential were combined in an equal-weighted overlay to produce the final Susceptibility Potential Surface. The final data were partitioned into five susceptibility classes: 1) Little or No, 2) Low, 3) Moderate, 4) High, and 5) Extreme. For the purposes of sampling the data were combined into four classes from the original five classes: 0) Little/No, 1) Low, 2) Moderate, 3) High (combination of High and Extreme). This project incorporates methods developed by Coulston, et al. (2006) to develop national scale sampling areas based on the Forest Health Technology Enterprise Team (FHTET) Agrilus biguttatus Susceptibility Surface. National Scale Sample Methods: 1) reclassification of the susceptibility risk potential surface into four classes from the original five classes (0 - Little/No, 1 – Low, 2 – Medium, 3 – High) Table 1; 2) estimating the intensification factor based on the required number of samples and the relative certainty for each risk category; (Table 1) 3) intensifying EMAP’s North American hexagon to develop a systematic point grid for each risk stratum; 4) spatially intersecting the intensified point grids with the corresponding risk stratum; 5) merging each set of selected points from the stratum intersection; 6) creating the sample areas that are semi-regular tessellations of Theissen polygons created from the merged grid intensification points. For this project, the FHTET Agrilus biguttatus susceptibility risk potential surface was used and reclassed into the required four classes. A total of 1,000 sample areas were used for the intensification model. Relative certainties were assigned in order to create increasing plot intensifications for increasing risk stratum. A custom Microsoft ©EXCEL application calculates the intensification factor and sequence number based on the number of points and desired relative certainty. The sequence for the point intensification is determined from a table supplied by the authors. Table 1 shows the risk class, area by class, and number of sample areas used for this project. The point grid intensification is based on the Environmental Monitoring and Assessment (EMAP) hexagon for the conterminous United States and is iteratively intensified using a custom ArcView 3.3 application. A new point file is created for each iterative intensification. The final intensification iterations for each class is intersected with a vector version of the susceptibility surface and merged to create a single point shape file. A sample area tessellation is then performed from the merged intensification points using a custom function in the ArcView 3.3 application that creates Theissen polygons. These polygons become the sample areas, where the sample areas are based on the risk class. It is intended that each sample area is given the same number of sample plots. Citation Coulston, John W., Koch, F.H., Smith, W.D., Sapio, F.J. 2006. Developing Survey Grids to Substantiate Freedom from Exotic Pests. Proceedings of the Eight Annual Inventory and Analysis Symposium. http://www.forestthreats.org/publications/fhm/frank-koch/Developing_survey_grids_to_substantiate_freedom_from_exotic_pests.pdf Table 1. Summary Statistics Original Risk Risk Class for Relative Class Sampling Certainty NoData Little/No (0) 0.1 (0) Low (1) Low (1) 0.1 Moderate Moderate (2) (2) 0.6 High (3) & Extreme (4) High (3) 0.7 Total Area 2 (km ) Sample Frequency 6,167,233 1,313,944 45 45 263,426 393 45,321 517 7,789,924 1,000 Agrilius biguttatus National Survey Sample Areas for the Conterminous US *Language of dataset: en Time period of content: Time period information: Single date/time: Calendar date: 20100309 Currentness reference: publication date Status: Progress: Planned Maintenance and update frequency: As needed Spatial domain: Bounding coordinates: *West bounding coordinate: -131.718010 *East bounding coordinate: -50.048796 *North bounding coordinate: 54.232833 *South bounding coordinate: 17.231111 Local bounding coordinates: *Left bounding coordinate: -2356278.5 *Right bounding coordinate: 2257721.5 *Top bounding coordinate: 3172335.3125 *Bottom bounding coordinate: 268335.3125 Place: Place keywords: Conterminous United States Place keyword thesaurus: Lower 48 States Access constraints: None Use constraints: None Point of contact: Contact information: Contact organization primary: Contact person: Marla C. Downing Contact organization: Forest Health Technology Enterprise Team (FHTET) Forest Health Protection Contact position: FHTET Lead, Biological Scientist Contact address: Address type: mailing and physical address Address: 2150 Centre Avenue, Bldg A, Suite 331 City: Fort Collins State or province: Colorado Postal code: 80526-1891 Country: USA Contact voice telephone: 970-295-5843 Agrilius biguttatus National Survey Sample Areas for the Conterminous US Contact electronic mail address: mdowning@fs.fed.us Hours of service: 9:00 AM - 5:00 PM MT Data set credit: Michael F. Tuffly Steering Committee: Marla C. Downing, FHTET Lead Daniel M. Borchert, APHIS PPQ Frank H. Koch, NCSU Frank J. Sapio, USFS FHTET Bill D. Smith, USFS SRS Robert A. Haack USFS NRS Roger D. Magarey NCSU Security information: Security classification: Unclassified *Native dataset format: Raster Dataset *Native data set environment: Microsoft Windows XP Version 5.1 (Build 2600) Service Pack 2; ESRI ArcCatalog 9.1.0.722 Cross reference: Citation information: Originators: Downing, M.C.; F.H. Koch, R.A. Haack, F.J.; Sapio, W.D. Smith, D.M. Borchert. 2009. National Risk map products and documentation for the Oak Splendor Beetle (Agrilus bigutatus). Ft. Collins, CO: U.S. Department of Agriculture, Forest Service, Forest Health Technology Enterprise Team. http://www.fs.fed.us/foresthealth/technology/invasives_agrilusbiguttatus_riskmaps.shtml Back to Top Back to Top Spatial Reference Information: Horizontal coordinate system definition: Coordinate system name: *Projected coordinate system name: NAD_1983_Albers *Geographic coordinate system name: GCS_North_American_1983 Planar: Map projection: *Map projection name: Albers Conical Equal Area Albers conical equal area: *Standard parallel: 29.500000 Agrilius biguttatus National Survey Sample Areas for the Conterminous US *Standard parallel: 45.500000 *Longitude of central meridian: -96.000000 *Latitude of projection origin: 23.000000 *False easting: 0.000000 *False northing: 0.000000 Geodetic model: *Horizontal datum name: North American Datum of 1983 *Ellipsoid name: Geodetic Reference System 80 *Semi-major axis: 6378137.000000 *Denominator of flattening ratio: 298.257222 Back to Top Entity and Attribute Information: Attribute measurement frequency: As needed Back to Top Metadata Reference Information: *Metadata date: 20100309 *Language of metadata: en Metadata contact: Contact information: Contact organization primary: Contact person: Marla C. Downing Contact organization: Forest Health Technology Enterprise Team (FHTET) USDA Forest Service Contact position: FHTET, Lead and Biological Scientist Contact address: Address type: mailing and physical address Address: 2150 Centre Avenue, Bldg A, Suite 331 City: Fort Collins State or province: Colorado Postal code: 80526-1891 Country: USA Contact voice telephone: 970-295-5843 Contact electronic mail address: mdowning@fs.fed.us Agrilius biguttatus National Survey Sample Areas for the Conterminous US Hours of service: 9:00 AM - 5:00 PM MT *Metadata standard name: FGDC Content Standards for Digital Geospatial Metadata *Metadata standard version: FGDC-STD-001-1998 *Metadata time convention: local time Metadata security information: Metadata security classification: Unclassified Appendix A COMM_NAME All Manufactured Equipment, Machinery and Products Building Cement & Concrete; Lime; Glass Forest Products, Lumber, Logs, Woodchips Primary Iron and Steel Products (Ingots,Bars,Rods,etc.) Primary Non-Ferrous Metal Products;Fabricated Metal Prods Sand, Gravel, Stone, Rock, Limestone, Soil, Dredged Material Paper & Allied Products Primary Wood Products; Veneer; Plywood AND CNTRY_NAME Algeria Azerbaijan Belarus Czech Republic Egypt France Germany Hungary Libya Morocco Netherlands Poland Russia Spain Sudan Tunisia Ukraine United Kingdom Agrilius biguttatus National Survey Sample Areas for the Conterminous US Appendix B FIA Oak Species FIA Code 801 801 802 803 804 805 806 807 809 810 811 812 812 814 815 803 843 816 817 842 818 819 820 821 822 823 840 824 825 841 826 827 829 844 813 830 831 Scientific Name Quercus agrifolia Quercus agrifolia var. oxyadenia Quercus alba Quercus arizonica Quercus bicolor Quercus chapmanii Quercus chrysolepis Quercus coccinea Quercus douglasii Quercus ellipsoidalis Quercus emoryi Quercus engelmannii Quercus falcata Quercus falcata var. falcata Quercus gambelii Quercus garryana Quercus graciliformis Quercus gravesii Quercus grisea Quercus hypoleucoides Quercus ilicifolia Quercus imbricaria Quercus incana Quercus kelloggii Quercus laevis Quercus laurifolia Quercus lobata Quercus lyrata Quercus macrocarpa Quercus margarettiae Quercus marilandica Quercus michauxii Quercus minima Quercus muehlenbergii Quercus nigra Quercus oblongifolia Quercus oglethorpensis Quercus pagoda Quercus palustris Quercus phellos Agrilius biguttatus National Survey Sample Areas for the Conterminous US 845 832 833 834 836 808 835 828 837 838 839 Quercus prinoides Quercus prinus Quercus rubra Quercus rugosa Quercus shumardii Quercus similis Quercus sinuata var. sinuata Quercus stellata Quercus texana Quercus turbinella Quercus velutina Quercus virginiana Quercus wislizeni Appendix C Drought Calculation Agrilus biguttatus: Late Spring-Early Summer Drought 2007-2009 Frank Koch, Bill Smith We used gridded data (approximately 4 km2 spatial resolution) created with the PRISM climate mapping system to perform our analyses. The gridded data (WGS72 projection) were downloaded from the PRISM Group web site (http://www.prism.oregonstate.edu). When these analyses were performed, final versions of total precipitation, mean daily minimum temperature, and mean daily maximum temperature grids were available for every month from January 1895 until October 2009. Methods We adopted an approach, utilizing the PRISM climate grids, in which a moisture index value for a given location (i.e., a grid cell) is calculated based on both precipitation and potential evapotranspiration values for that location during the time period of interest. Potential evapotranspiration measures the loss of soil moisture through plant uptake and transpiration (Akin 1991). It does not measure actual moisture loss, but rather the loss that would occur under ideal conditions (i.e., if there was no possible shortage of moisture for plants to transpire) (Akin 1991, Thornthwaite 1948). The inclusion of both precipitation and potential evapotranspiration provides a fuller accounting of a location’s water Agrilius biguttatus National Survey Sample Areas for the Conterminous US balance than precipitation alone. So, to complement the PRISM monthly precipitation grids, we computed monthly potential evapotranspiration (PET) grids using the Thornthwaite formula (Akin 1991, Thornthwaite 1948): PETm = 1.6 L(10 [1] Tm a ) I where PETm = the potential evapotranspiration for a given month m in cm; L = a correction factor for the hours of daylight and number of days in a month for all locations at a particular latitude; Tm = the mean temperature for month m in degrees C; a = an arbitrary exponent calculated by a = 6.75 ×10-7I3 – 7.71 × 10-5I2 + 1.792 × 10-2I + 0.49239; and I = 1.514 12 T an annual heat index, calculated as I = ∑ i i =1 5 , where Ti is the mean temperature for each month i of the year. To implement Equation 1 spatially, we created a grid of latitude values for determining the L adjustment for any given 4km2 grid cell in the conterminous United States [see Thornthwaite (1948) for a table of L correction factors]. We calculated the mean monthly temperature grids as the mean of the corresponding PRISM daily minimum and maximum monthly temperature grids. We used the precipitation (P) and PET grids to generate baseline moisture index grids for 1910-2009 for the conterminous United States. Willmott and Feddema (1992) proposed a moisture index, MI′, with the following form: [2] P < PET P / PET − 1 , MI ' = 1 − PET / P , P ≥ PET 0 , P = PET = 0 This set of equations yields a dimensionless index scaled between -1 and 1. Though MI′ is typically calculated based on annual values, for this analysis we were only interested in moisture conditions during late spring-early summer, roughly a three-month time window of interest. So, we calculated MI′ based on the total P and PET values summed over three months rather than an entire year. Notably, late spring-early summer represents a different time window depending on geographic location (i.e., depending on latitude/elevation/climate). For this reason, we actually calculated nationwide MI′ grids for three different three-month windows during each year 1910-2009: March-May, April-June, and May-July. (At the end of our analysis, we ultimately combined three output grids for each year into a single grid; details on how we did this are provided below.) To determine departure from typical moisture conditions, we first created a normal grid, MI′norm, representing the mean of the 100 individual MI′ grids generated for each three-month window (i.e., one grid for each year 1910-2009). We also created a standard deviation grid, MI′SD, calculated from these individual grids as well as the MI′norm grid. We subsequently calculated moisture difference z-scores, MDZi, from these components: [3] MDZ i = MI 'i − MI ' norm MI ' SD Agrilius biguttatus National Survey Sample Areas for the Conterminous US where i = a particular year in the 100-year period 1910-2009. The MDZi scores may be classified in terms of degree of moisture deficit or surplus as follows: MDZi Score Moisture Status <-2 Extreme drought (2.3 percent frequency) -2 to -1.5 Severe drought (4.4% frequency) -1.5 to -1 Moderate drought (9.2% frequency) -1 to -0.5 Mild drought (15% frequency) -0.5 to 0.5 Near normal conditions (38.2% frequency) 0.5 to 1 Mild moisture surplus (15% frequency) 1 to 1.5 Moderate moisture surplus (9.2% frequency) 1.5 to 2 Severe moisture surplus (4.4% frequency) >2 Extreme moisture surplus (2.3% frequency) To combine the three output MDZ grids for each year (i.e., one each for the March-May, April-June, May-July windows) into a single nationwide grid, we first subset them using PRISM data related to frost-free period. Briefly, we divided the conterminous U.S. into three geographic regions (Figure 1) based on the 30-year mean Julian date of the Agrilius biguttatus National Survey Sample Areas for the Conterminous US last spring freeze: Zone 1, including all areas with a mean Julian date ≤ 90 (i.e., last freeze prior to April 1); Zone 2, all areas with a mean Julian date between 90 and 120 (i.e., last freeze between April 1 and April 30); and Zone 3, all areas with a mean Julian date > 120 (i.e., last freeze after April 30). Next, we matched each three-month window to the most appropriate zone (Figure 1), and then clipped the corresponding MDZ grid to the zonal boundaries. Finally, we mosaiced these clipped grids into a single grid covering the conterminous United States. We re-projected the final output grids to Albers NAD83. For the A. biguttatus risk model (i.e., the map of establishment risk), we generated binary (0/1) grids for the years 2007-2009 from the final MDZ grids; basically, MDZ grid cells exhibiting severe or extreme drought (i.e., z-score < -1.5) were assigned a value of 1, while all other cells were assigned a value of zero. The three binary grids were then added together using map algebra to create a three-level map of drought risk.