Specific Design Information - Estuary Example
This section provides detailed information on creating GRTS Designs. In addition, a presentation; Monitoring Design: Component Details, by A.R. Olsen is available as a pdf file (2.5 MB)
The survey design is a plan for selecting the sample appropriately so that it provides valid data for developing accurate estimates for the entire population or area of interest. At this point in the design process it is assumed that the folloing have been completed:
- Established the monitoring objectives
- Identified Resource Characteristics
- Identified Institutional constraints requiring consideration
- Defined the target population
- Specified Subpopulations, Domains and Stratification
- Created a sampling frame for all units of the target population from which to select the sample
- Selected a GRTS survey design for the selection of sample of units from this frame
- Selected a strategy for allocation of sampling efforts in space and time
- Established sample size(s)
Additional information on each of these items is available on Design Specifics
Oregon Estuaries Survey Design Example
Purpose: Illustrate area sample for an estuarine resource.
This information is presented as an example and recommended format for documenting a GRTS design. It is recommended that this example be followed, prior to initiating efforts to produce a design to meet a particular objective. Due to the randomization scheme within psurvey.design, each execution of the R code will produce a different set of sampling points and output files and will not exactly reproduce the example files.
Materials needed for this example:
- R version 2.2.1
- psurvey.design 2.2.1 + sp package
- R script or text file: oregonestuary.R
- Frame materials as ArcGis files:
- oregon2001estuaries.dbf
- oregon2001estuaries.prj
- oregon2001estuaries.sbn
- oregon2001estuaries.sbx
- oregon2001estuaries.shp
- oregon2001estuaries.shx
- Download Example Files
Example includes:
Designs | Description | Files produced |
1 | UnEqual Sites – three estuarine area size categories, two panels (50 sites), and over sample of 50 sites. | OREstuaryUnequalSites.dbf OREstuaryUnequalSites.prj OREstuaryUnequalSites.shp OREstuaryUnequalSites.shx |
An ArcGis map is included, or_est_map.pmf, for the resulting designs for this example (requires ArcReader software to view, explore and print).
Design File Documentation would routinely begin here:
Contact:
Nameaddress of person requesting the design
Voice:
Fax:
email:
Description of Sample Design
Target population: All Oregon coastal estuaries of less than 100 km2 in area.
Sample Frame: GIS coastal estuaries.
Survey Design: A Generalized Random Tessellation Stratified (GRTS) survey design for an area resource. The GRTS design includes reverse hierarchical ordering of the selected sites.
Multi-density categories: Small (<1 km2), medium (1-10 km2), large (10-100 km2)
Stratification: None
Panels: Two panels of equal size (25 each, total 50)
Expected sample size: Approximately 17 sites in small estuaries, 17 sites medium estuaries, and 16 sites in large estuaries.
Oversample: 50 sites, approximately equal numbers for each category.
Site Use: The base design has 50 sites in estuaries. Sites are listed in SiteID order and must be used in that order. All sites that occur prior to the last site used must have been evaluated for use and then either sampled or reason documented why that site was not used. As an example, if 30 sites are to be sampled, then the first 30 sites in SiteID order would be used.
Sample Frame Summary
The total estuarine area is 179.6 km2
Estuary Area | Number | Total Area (km2) |
Small | 34 | 2.056918 |
Medium | 32 | 85.073934 |
Large | 3 | 92.462461 |
Total | 69 | 179.593314 |
Site Selection Summary
Unequal Sites | Small | Medium | Large | Sum |
Panel 1 | 9 | 11 | 5 | 25 |
Panel 2 | 10 | 7 | 9 | 25 |
Sum | 19 | 18 | 13 | 50 |
Over Sample | 15 | 16 | 19 | 50 |
Maps of Estuarine Sites: Oregon Estuaries, OverSample Sites
Description of Sample Design Output:
The sites are provided as a shapefile that can be read directly by ArcMap. The dbf file associated with the shapefile may be read by Excel.
The dbf file has the following variable definitions:
Variable Name |
Description |
SiteID |
Unique site identification (character) |
arcid |
Internal identification number |
x |
Albers x-coordinate |
y |
Albers y-coordinate |
mdcaty |
Multi-density categories used for unequal probability selection |
weight |
Weight (in meters), inverse of inclusion probability, to be used in statistical analyses |
stratum |
Strata used in the survey design |
panel |
Identifies base sample by panel name and Oversample by OverSamp |
auxiliary variables |
Remaining columns are from the sample frame provided |
Oregon_Estuaries is an ArcMap that displays the estuaries and sampling sites for the design.
Projection Information
PROJCS[" NAD_1927_Albers "
GEOGCS[" GCS_North_American_1927 ",
DATUM[" D__North_American_1927 ",
SPHEROID["Clarke_1866",6378206.4,294.9786982]],
PRIMEM[" Greenwich",0.0],
UNIT["Degree",0.0174532925199433]],
PROJECTION["Albers"],
PARAMETER["False_Easting",0.0],
PARAMETER["False_Northing",0.0],
PARAMETER["Central_Meridian",-96.0],
PARAMETER["Standard_Parallel_1",29.5],
PARAMETER["Standard_Parallel_2",45.5],
PARAMETER["Latitude_Of_Origin",23.0],
UNIT["Meter",1.0]]
Evaluation Process
The survey design weights that are given in the design file assume that the survey design is implemented as designed. That is, only the sites that are in the base sample (not in the over sample) are used, and all of the base sites are used. This may not occur due to (1) sites not being a member of the target population, (2) landowners deny access to a site, (3) a site is physically inaccessible (safety reasons), or (4) site not sampled for other reasons. Typically, users prefer to replace sites that can not be sampled with other sites to achieve the sample size planned. The site replacement process is described above. When sites are replaced, the survey design weights are no longer correct and must be adjusted. The weight adjustment requires knowing what happened to each site in the base design and the over sample sites. EvalStatus is initially set to "NotEval" to indicate that the site has yet to be evaluated for sampling. When a site is evaluated for sampling, then the EvalStatus for the site must be changed. Recommended codes are:
EvalStatus Code |
Name |
Meaning |
TS |
Target Sampled |
site is a member of the target population and was sampled |
LD |
Landowner Denial |
landowner denied access to the site |
PB |
Physical Barrier |
physical barrier prevented access to the site |
NT |
Non-Target |
site is not a member of the target population |
NN |
Not Needed |
site is a member of the over sample and was not evaluated for sampling |
Other codes |
|
Many times useful to have other codes. For example, rather than use NT, may use specific codes indicating why the site was non-target. |
Statistical Analysis
Any statistical analysis of data must incorporate information about the monitoring survey design. In particular, when estimates of characteristics for the entire target population are computed, the statistical analysis must account for any stratification or unequal probability selection in the design. Procedures for doing this are available from the Aquatic Resource Monitoring web page given in the bibliography. A statistical analysis library of functions is available from the Aquatic Resource Monitoring web page to do common population estimates in the statistical software environment R (psurvey.analysis)
ARM Web Page: /nheerl/arm
For further information, contact
Anthony (Tony) R. Olsen
USEPA NHEERL
Western Ecology Division
200 S.W. 35th Street
Corvallis , OR 97333
Voice: (541) 754-4790
Fax: (541) 754-4716
email: Olsen.Tony@epa.gov
Bibliography:
Diaz-Ramos, S., D. L. Stevens, Jr, and A. R. Olsen. 1996. EMAP Statistical Methods Manual. EPA/620/R-96/002, U.S. Environmental Protection Agency, Office of Research and Development, NHEERL-Western Ecology Division, Corvallis, Oregon.
Stevens, D.L., Jr. 1997. Variable density grid-based sampling designs for continuous spatial populations. Environmetrics, 8:167-95.
Stevens, D.L., Jr. and Olsen, A.R. 1999. Spatially restricted surveys over time for aquatic resources. Journal of Agricultural, Biological, and Environmental Statistics, 4:415-428
Stevens, D. L., Jr., and A. R. Olsen. 2003. Variance estimation for spatially balanced samples of environmental resources. Environmetrics 14:593-610.
Stevens, D. L., Jr., and A. R. Olsen. 2004. Spatially-balanced sampling of natural resources in the presence of frame imperfections. Journal of American Statistical Association:99:262-278.