NASA Global Change Research Fellowship Program
 Progress Report for period
March 15, 1996 - March 1, 1997
 
Eric W. Sanderson
 
Research Project Title: Landscape Structure is an Integrated Measure of Earth System Response to Climate Change

NASA Reference Number: 1995-GlobalCh00404

Faculty Advisor: Dr. Susan L. Ustin

Institution: Department of Land, Air and Water Resources
University of California, Davis
Davis, CA 95616
 

Signatures:

Eric W. Sanderson Susan L. Ustin
Fellow Faculty Advisor
 
Graduate Studies
University of California, Davis

Date: March 12, 1997
 

Academic Progress

Within the last academic year, I completed my qualifying exams in ecology and have been advanced to candidacy for the doctoral degree. Finishing my coursework and exams has freed me to focus full time on my research and make substantial progress. It has also enabled me to take on some academic service activities including student representative to the Ecology Graduate Group Executive Committee and committee member on the Teaching Assistant Training Grant Advisory Committee, and to serve as a Teaching Assistant Consultant, a program of peer mentoring to improve graduate student teaching. These commitments are part of my goal to integrate my research and teaching interests and to prepare myself for full participation in the university community. During the next year, I plan to finish my doctoral research, write my dissertation (based largely on the work supported by this fellowship), and graduate with a Ph.D. in Ecology.

In addition to the work described below, I submitted the paper "Geostatistical scaling of canopy water content in a California salt marsh", received it for revision, and forwarded the revised paper back to the editors at Landscape Ecology. I have also worked on a geographic information systems model of vegetation distributions in a nearby salt marsh. This work will be presented in abstract form at the annual Ecological Society of America meeting this summer.
 

Research Progress

The goal of my fellowship research is to see if landscape structure can be used as an indicator of climate change. The principle strategy is to use a commonly available source of landscape structure data (remote sensing) over a large number of climatically different sites to find a relationship between the two. Instead of observing a temporal sequence of climate change, I am substituting a spatial sequence of locations with a variety of landscape structures and climates. Because landscape structure is influenced by other factors (primarily land use patterns and topography) which are not climatically driven, it has been necessary to include these factors in my analysis. Compiling the data on climate, topography, land use and landscape structure for approximately 200 sites has been my primary focus over the last year. Fortunately many of these data have recently become available over the Internet, though integration of them has required significant effort.

The rationale for this project is that changes in climate affect two of the main drivers of earth systems: temperature and precipitation. Because these two drivers are fundamental to almost all ecological processes, it has often been suggested (and it seems obvious) that climate change will influence ecosystems in some way; however the details of that influence are more difficult to specify because there are so many possible changes. This study suggests that instead of looking for the response of detailed processes, maybe we should use an integrated approach. If we are trying to identify landscapes that are influenced by climate change, we should use an integrated measure that does not depend on specific mechanisms, but which might be a common expression of many mechanisms. Once we have identified affected landscapes, then scientists can study those locations in more detail to account for the observed changes.

Landscape structure is potentially such an integrated measure. We know that plant species distributions have changed dramatically in the past because of climate change. It seems reasonable to expect that anthropogenic climate change in are own era will cause similar changes (Dyer, 1995). The early signs of changes in vegetation distribution are likely to be contraction or expansion of patches, movement of boundaries between vegetation zones, changes in overall biomass and cover, i.e. changes in landscape structure. The landscape ecology literature is rich with a number of landscape metrics for quantifying landscape structure (Riitters, et al, 1996; Qi and Wu, 1996; Hunsaker et al, 1994; Turner et al, 1991; Musick and Grover, 1991). Recent reviews have suggested a small number of these metrics which best describe variation in landscape structure (Riitters et al, 1995).

The data I am bringing to bear on this problem are described in Table 1. Most of my efforts over the last year have been in assembling, analyzing, and beginning to compare these datasets. Because I am looking at so many sites in so many different conditions of climate, land use and topography, developing generalized analytical methods and implementing them by computer has been essential. In the course of this work, I have dramatically increased my skills and expertise in a variety of computer software packages, including ARC/INFO, IDL, ENVI, and particularly perl, which has been my basic coding tool. The specific steps and methods used have been outlined in Table 2 and are summarized below.

Table 1. Data Sources

Landscape Structure data – Remotely sensed AVIRIS quicklooks and selected full AVIRIS scenes

Quicklooks are one band (typically band 35 about 700 nm), grayscale images (0.5 Mb) derived from AVIRIS images. They are not atmospherically calibrated and are stretched so that colors range 0 to 255. Quicklook scenes are available in gif format from 1992 through 1996. Scenes are indexed by flight, run and scene, with six scenes per quicklook strip. Approximately 3000 scenes are currently available, of which approximately 200 will be analyzed. Scenes are mostly of sites in North America, though include several flightlines in Brazil. A preliminary subset of 51 quicklooks have been analyzed so far.

Landscape Structure Metrics: Contagion, Perimeter to Area Ratio ("Compaction"), Perimeter to Area Ratio Normalized to a Square ("Shape"), Fractal Dimension, Angular Second Moment, Inverse Difference Moment, Spatial Autocorrelation ("Scale")

Climate data

Soils data

Historical climate data providing mean monthly average temperature and precipitation for a over 4000 sites worldwide, with concentration in North America and Europe. These data are used to calculate climatic water balance diagrams as described Stephenson (1990) and Eagleman (1976) for each site. Besides the temperature and precipitation data, this calculation requires having available soil water capacity, which is estimated from the STATSGO soils database (National Resource Conservation Service), with complete coverage for the contiguous USA.
 
Topographic data 1:250,000 scale digital elevation models (DEM) are available for most of the contiguous United States from the US Geological Service. Minimum, maximum and average elevation, slope and aspect are derived from elevation data coinciding with the quicklook.
 
Land use data Land use data mapped at the 1:250,000 scale by the USGS including descriptions of both human landaus and vegetative cover. Data coincident with quicklook polygon are summarized by land use and vegetation type, on an area weighted basis.
 
The remote sensing data set are the "quicklook" images produced from the Airborne Visible/Infrared Imaging Spectrometer (AVIRIS). For every scene AVIRIS flies, a one-band quicklook image is produced for review by mission specialists, before the corresponding full scene is processed. Quicklooks from 1992-1996 are available, a total of over 4000 scenes in the Western Hemisphere (mostly the United States). These images have the advantage of being small (0.5 Mb) and in a band (~700 nm) where vegetation and soil have a distinct reflectance, so that the landscape structure, expressed in these simple terms, is visible. Because these scenes are derived from AVIRIS, I can also examine the full AVIRIS data for a small number of sites, allowing me to study the spectral and spatial sensitivities of my analysis.

The landscape structure metrics I have implemented are those recommended by Riitters et al (1995) (perimeter-area ratio, perimeter-area ratio normalized to a square, fractal dimension, contagion), supplemented by a couple of other methods not considered by those authors (scale based on an autocorrelation threshold, angular second moment, inverse difference moment), and by some basic statistics on the number of patches, the number of small patches, and the proportional coverage of each class. Some of these landscape structure metrics are designed for analysis of continuous data (provided by the quicklooks); others for pixels aggregated into classes by some rule. Remote sensing data is advantageous in this case because its underlying data structure is a continuum of gray levels from 0 to 255, but it can be classified according to simple rules into patches corresponding (roughly) to vegetation and soil.

The classification in this case takes advantage of the difference in reflectance between vegetation and soil in the quicklook band (~700 nm). In this band, vegetation is typically darker than soil. I confirmed this pattern by taking five calibrated AVIRIS data cubes from different climate types and vegetation communities in California and classifying pixels into vegetation, soil or water using the Spectral Angle Mapper algorithm. These classifications were qualitatively verified by field work conducted by the CSTARS laboratory at these sites. These classified images were compared to their corresponding quicklooks to derive gray level thresholds which distinguish vegetation from soil, with a small intermediate class. Because these classes have not been rigorously confirmed by field reconnaissance in all the images, they are referred to as Class-V, Class-S and Class-I, so that it is clear they are based only on a simple remote sensing interpretation. An example of a quicklook and its classified product are shown in Figure 1.

These landscape structure data are being compared to the estimated climate at each site. To estimate the climate, I decided to follow the practice of many ecologists in calculating the average, long term, climatic water balance for each site. Vegetation at the regional scale has been shown to be strongly influenced by the amount of water surplus, water deficit and their seasonal timing (Stephenson, 1990; Major, 1977). I have obtained mean monthly temperatures and total precipitation from the Global Historical Climatological Network, available for free over the Internet. This database has over 6000 precipitation stations and over 4000 temperature stations, with a large concentration of stations in North America, each with a historical record of at least 10 years. Using an average of the five closest stations within 100 km of each site, I calculated the potential and actual transpiration at each site using the method of Thornthwaite and Mather (1955), which requires knowledge of only the mean monthly temperature, latitude and available soil water capacity. Using this calculations with the average precipitation, it is possible to use a mass balance technique to calculate the annual water deficits and surpluses, given an estimate of the available soil water capacity

In the past scientists have often assumed a uniform level of available soil water capacity for all sites (Eagleman, 1976; Major, 1977), but today it is possible to get a geographically specific estimate using the Natural Resources and Conservation Service STATSGO database. By overlaying each quicklook polygon over the appropriate soil coverage, I calculated an area-weighted average available water capacity for each site. Soil water capacity has a strong influence on the annual water deficits and surpluses because it determines both the amount of water stored in the soil and the proportion of actual to potential evapotranspiration, making estimations of this parameter an important step to more accurate water balance calculations. A paper describing these methods is in preparation since this method is general to any location in the contiguous Unite States. A representative water balance diagram is shown in Figure 2.

Topographic data (digital elevation models) at the 1:250,000 scale are also available for free over the Internet from the US Geological Service (USGS). These data come as ARC/INFO triangular irregular networks, which are converted to raster (GRID) format, then clipped with the quicklook coverage. The minimum, maximum, and mean elevations, aspects and slopes were determined for each site. Most of the contiguous United States have digital elevation models at this scale. An example of the topographic data available is shown in Figure 3.

Land use data, also from the USGS, are available for in ARC export format. These coverage describe land use in terms human land use (urban, rural, agricultural, abandoned, etc.) and current vegetation cover (deciduous forest, grassland, shrubland, etc.). The land use for each site is summarized by area for each site. These land use data have been commonly used in past landscape structure studies (e.g. Riitters et al, 1995; Hunsaker et al, 1994) An example of the land use data is shown in Figure 4.

An outline of the work completed so far is shown in Table 2. Using these techniques and data sources, I am currently working with a subset of 51 quicklooks from the contiguous United States to debug the processing and to insure that all the data are coordinated. I am also beginning to explore the multivariate statistical properties of the data. A preliminary listing of selected statistics for these scenes is provided in Table 3.

Table 2. Outline of Work Completed from April 1996 - February 1997.
1. Developed classification algorithm.

  1. Used 5 calibrated AVIRIS images in California in different climates
  2. Developed image based referenced endmembers for soil, water and veg for each image based on average of 30 pixels each.
  3. Calculated Spectral Angle between each reference endmember and image pixels for each image.
  4. Developed threshold to classify pixels into soil, veg and water.
  5. Compared classified endmember maps from full image to quicklooks.
  6. Developed gray level thresholds to separate soil from veg. Water couldn’t be consistently distinguished.
2. Calculated coordinates for corners of each quicklook in the AVIRIS quicklook database.
  1. Projected starting and ending coordinates to Albers State plane projection used by soils, land use and DEM databases.
  2. Based on number of lines in each run, known number of pixels and lines per quicklook, and pixel size, used trigonometry to calculate corners of each quicklook.
  3. Developed criteria to reject some quicklooks based on inconsistencies in number of lines reported.
3. Developed landscape structure metrics programs in IDL.
  1. Wrote programs to calculate adjacency matrices for quicklook and classified quicklooks, then calculate contagion, texture measures.
  2. Also calculated autocorrelograms, patch shape and number metrics, fractal dimension, patch perimeter area ratio.
  3. Statistics calculated for quicklook and classified image and at patch, class and landscape levels.
  4. Validation of the code using pseudo-quicklooks with known spatial relationships.
4. Collection of ancillary datasets.
  1. Identified ancillary datasets required: climate, topography, land use.
  2. Climate: decided to represent climate based on water balance diagrams.
  1. Requires calculation of potential ET, actual ET and estimates of precipitation and soil water capacity.
  2. Downloaded monthly mean temperature and total monthly precipitation from the Global Historical Climatological Network.
    1. averaged temp and precipitation values for each station (temp and prec stations slightly different).
    2. projected coordinates to Albers projection.
    3. calculated distance from quicklook center to station.
    4. estimated monthly temp and prec at quicklook based on average of five closest stations within 100 km.
  1. Downloaded soils maps and database from the STATSGO database to get available water capacity of soil
  2. a. Calculated average soil water capacity for each soil unit by doing weighted averages for layers (weighted by depth of each layer). Calculated weighted average for soil unit based on percentage of each soil component.

    b. by state, downloaded soils coverage and overlaid quicklook polygon. Averaged available water capacity based on areal extent of each soil unit.

  3. Estimated potential ET and actual ET using Thornthwaite and Mather (1955) method.
    1. potential ET is function of mean monthly temp and latitude.
    2. latitudinal adjustment based on daylength/360 hours. Estimated daylength using method of Forsythe et al (1995).
    3. actual ET is function of potential ET and the soil moisture ratio (prec + storage)/awc, but limited not to exceed potential ET or (prec + storage), whichever is less.
    1. Used mass balance approach to calculate soil storage, deficit and surplus on a monthly basis.
    2. Wrote program in IDL to plot water balance diagrams for display.
  1. Topography: calculate slope and aspect using 1:250,000 DEMs available from USGS
    1. Identify and download DEM files overlapping with site. Inventories downloaded.
    2. Convert DEM lattices to raster format. Method developed.
    3. Clip out area of quicklook and calculate min/max and average slope, aspect and elevation. Method developed.
    4. in progress for preliminary (51) quicklook.
  1. Land use: summarize landaus data from USGS/EPA land use data.
    1. Identify and download land use coverages overlapping site. Inventories downloaded.
    2. Convert from export format to ARC/INFO coverage. Method developed.
    3. Clip out and average land use and vegetation cover type for quicklook areas. Method developed.
    4. in progress for preliminary (51) quicklook.
 
  1. Multivariate analysis of landscape structure metrics alone and with respect to ancillary datasets.
  1. Preliminary analysis for 51 quicklooks.
  2. Analysis of univariate and bivariate distribution of landscape statistics and ancillary data.
Notes in italics indicate work in progress currently.
 

Future Work

The final year of my fellowship funding, if granted, will be devoted to analyzing the compiled data sets, searching for multivariate relationships between climate and landscape structure, conducting sensitivity analyses, and preparing the results for publications. As noted above, a short paper on my method of calculating the climate water balance for North American sites is already in preparation. I am planning a series of investigations using multivariate ordination techniques including cluster and discriminant analyses. Currently I am exploring the univariate and bivariate statistical properties of a preliminary set of 51 quicklooks. These dataset will be expanded to include approximately 150 more scenes to insure the widest variety of climates, land uses, and topographies, given the available data.

Any patterns which I find between landscape structure and climate in the whole dataset will be tested by examining several year sequence of scenes at a few sites to see if the relationship holds predictably over single sites in time. Candidate sites for this test are the places AVIRIS regularly visits: Harvard Forest, MA, Blackhawk Island, WI, and Jasper Ridge, CA.

An important piece of work still to be undertaken is a sensitivity analysis of the methods used to analyze and summarize the data. I plan to revisit my classification method and quantify how small differences in the selected thresholds influence the landscape statistics. Similarly I would like to examine how the actual spatial location of the quicklooks influences the landscape structure. I will examine adjacent quicklooks on continuous runs to see how scene sampling influences the landscape structure. These sensitivity analyses will overlap nicely with planned investigations of how the spatial and spectral resolution of the remote sensing data influence our measurement of landscape structure. For a few sites where calibrated full AVIRIS data cubes are available, I will examine how spectral bandwidth and placement effect landscape structure, and through pixel averaging, how spatial grain affects the statistics.

From this work I expect to write at least two papers within the next year. The first paper will describe the method used here for deriving the climatic water balance over small regions, appropriate to remote sensing scenes. The second paper will summarize the results of my investigation into the relationship between landscape structure and climate and will include a description of the data sets used, the rationale for this approach, the results of the multivariate analyses, and a discussion of applicability of the method. A third paper, based my investigations of the full AVIRIS data cubes and the influence of spatial and spectral resolution on the analysis may also be possible, if novel results are found. These papers will form a major portion of my Ph.D. dissertation, which I will also write within the next year.
 

References

Dyer, J.M. (1995) Assessment of climatic warming using a model of forest species migration. Ecological Modelling 79: 199-219.

Eagleman, J.R. (1976) The Visualization of Climate. Lexington Books: Lexington, MA.

Forsythe, W.C., Rykiel, E.J., Stahl, R.S., Wu, H, Schoolfield, R.M. (1995) A model comparison for daylength as a function of latitude and day of year. Ecological Modelling 80: 87-95.

Hunsaker, C.T., O’Neill, R.V., Jackson, B.L., Timmins, S.P., Levine, D.A. and Norton, D.J. (1994) Sampling to characterize landscape pattern. Landscape Ecology 9(3): 207-226.

Major, J. (1977) California climate in relation to vegetation, in eds. Barbour, M.G. and Major, J. Terrestrial Vegetation of California. California Native Plant Society.

Musick, H.B. and Grover, H.D. 1991. Image textural measures as indices of landscape pattern, in eds. Turner, M.G. and Gardner, R.H. Quantitative Methods in Landscape Ecology: The Analysis and Interpretation of Landscape Heterogeneity. Springer-Verlag: New York.

Riitters, K.H., O’Neill, R.V., Hunsaker, C.T., Wickham, J.D., Yankee, D.H., Timmins, S.P., Jones, K.B., and Jackson, B.L. (1995) A factor analysis of landscape pattern and structure metrics. Landscape Ecology 10(1): 23-59.

Riitters, K.H., O’Neill, R.V., Wickham, J.D., and Jones, K.B. (1996) A note on contagion indices for landscape analysis. Landscape Ecology 11(4): 197-202.

Qi, Y., and Wu, J. (1996) Effects of changing spatial resolution on the results of landscape pattern analysis using autocorrelation indices. Landscape Ecology 11(1): 39-49.

Stephenson, N.L. (1990) Climatic control of vegetation distributions: the role of the water balance. The American Naturalist 135(5): 649-670.

Thornthwaite, C.W. and Mather, J.R. (1955) The water balance. Publications in Climatology, 10(3): 195-311.

Turner, S.J., O’Neill, R.V., Conley, W., Conley, M.R., and Humphries, H.C. (1991) Pattern and scale: statistics for landscape ecology, in eds. Turner, M.G. and Gardner, R.H. Quantitative Methods in Landscape Ecology: The Analysis and Interpretation of Landscape Heterogeneity. Springer-Verlag: New York.

Schedule of Research
 
Date Proposed Research Activity
March 1997 Finish Compilation of Land use, Topography and Climate Datasets for

Set of Preliminary Quicklooks

April - July 1997 Multivariate Analysis of Preliminary Quicklook Set. Develop methods. Sensitivity Analysis of Methods.
August - Oct. 1997 Expand Analysis to Contain Final Set of ~200 Quicklooks. Analysis of Full Dataset.
Nov. - Dec. 1997 Investigation of Selected Sites with Temporal Sequence of Scenes.

Investigation of Spectral and Spatial Resolution of Data.

Jan. - June 1998 Preparation of Papers and Ph.D. Dissertation