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    SPECTRAL AND SPATIAL DETECTION LIMITS OF LEAFY

    SPURGE (EUPHORBIA ESULA L.): SENSOR COMPARISONS AND

    MATCHED FILTERED BEHAVIOR

    by

    Jessica Mitchell

    A thesis

    submitted in partial fulfillment

    of the requirements for the degree of

    Master of Science in Geoscience

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    Acknowledgements

    First I should like to say that I am most grateful for the encouragement and

    understanding of my husband, Kris. Since kindergarten he has been reminding me how

    important it is to take breaks and play outside. I would like to extend many special thanks

    to my advisor, Dr. Nancy Glenn, who has provided endless guidance, patience, and

    opportunity throughout graduate school. What fortune to have both an advisor and a

    mentor. I would also like to especially thank Drs. Ames, Van Kirk, and Welhan for their

    time, patience, and input. My thanks as well to Melissa Neiers, Michele Hughes, and

    Diana Boyack, whose help and friendliness made for many pleasant trips to Pocatello.

    This thesis research was funded by USDA Natural Resources Conservation

    Service Conservation Innovation Grant No. 68-0211-6-124, Pacific Northwest Regional

    Collaboratory, as part of a Pacific Northwest National Laboratory project which is funded

    by NASA through Grant No. AGRNNX06AD43G, and NOAA OAR ESRL/ Physical

    Sciences Division (PSD) Grant No. NA04OAR4600161. Special thanks to Tom

    Stohlgren for kindly accommodating an Idaho delegate in the true spirit of non-native

    species forecasting. Field data collection was made possible through generous advice and

    assistance from Jeffrey Pettingill and staff at Bonneville County Weed and Pest Control,

    Shane Jacobson (U.S. Forest Service, Dubois, Idaho), and Keith Bramwell (Clark

    County). Thanks also to the many friends who kept me company or helped me out in the

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    Table of Contents

    Photocopy Use and Authorization ................................................................................. iTitle Page ...................................................................................................................... iiCommittee Approval Page........................................................................................... iiiAcknowledgements...................................................................................................... ivTable of Contents.......................................................................................................... vList of Figures ............................................................................................................. vii

    List of Tables .............................................................................................................. viiThesis Abstract........................................................................................................... viii

    Thesis Abstract Idaho State University (2007)....................................................... viiiChapter 1: Introduction and Background...................................................................... 1

    1.1 Statement of Purpose .................................................................................... 11.2 Study Area .................................................................................................... 3

    1.3 Background ................................................................................................... 61.3.1 Leafy Spurge Invasion Characteristics ........................................................ 61.3.2 Remote Sensing of Vegetation and Sensor Comparison .............................. 81.3.3 Remote Sensing of Leafy Spurge ................................................................ 101.3.4 Mixture-Tuned Matched Filtering Classification ...................................... 13

    Chapter 2: Materials and Methods.............................................................................. 172.1 Image Acquisitions ..................................................................................... 17

    2.2 Field Data Collection .................................................................................. 182.3 Field Spectroscopy...................................................................................... 222.4 Mixture-Tuned Matched Filtering Classification ....................................... 232.4.1 Minimum Noise Fraction (MNF) ............................................................... 252.4.2 Pixel Purity Index (PPI)............................................................................. 272.4.3 Endmember Selection and n-D Visualizer................................................. 282.4.4 Leafy Spurge Presence / Absence Thresholds ........................................... 332.4.5 Georegistration .......................................................................................... 35

    Chapter 3: Manuscript 1.............................................................................................. 37Abstract ................................................................................................................. 373.1 Introduction................................................................................................. 383.1.1 Sensor Comparison .................................................................................... 39

    3 2 Previous Work 41

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    3.3.7 Accuracy Assessment................................................................................. 583.4 Results......................................................................................................... 60

    3.5 Discussion and Conclusions ....................................................................... 643.6 References................................................................................................... 71

    Chapter 4: Manuscript 2.............................................................................................. 76Abstract ................................................................................................................. 764.1 Introduction................................................................................................. 774.2 Technical Background ................................................................................ 794.3. Methods....................................................................................................... 82

    4.3.1 Data Collection .......................................................................................... 824.3.2 Field Spectroscopy ..................................................................................... 864.3.3 Image Processing....................................................................................... 864.3.4 MF Score Analysis ..................................................................................... 90

    4.4 Results......................................................................................................... 914.5 Discussion and Conclusions ....................................................................... 964.6 References................................................................................................... 98

    Chapter 5: Conclusion............................................................................................... 1005.1 References................................................................................................. 102

    Appendix A: Field Data Collection .......................................................................... 108Appendix B: HyMap Georegistration Error ............................................................. 115Appendix C: Leafy Spurge Presence / Absence Error Matrices............................... 116Appendix D: Preliminary Endmembers and Eigenvalue Plots for Landsat TM5Classifications........................................................................................................... 120

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    List of Figures

    Figure 1 - Location of study area.................................................................................. 4Figure 2 - Spectral mixing and feasibility triangle ..................................................... 14Figure 3 - Field data collection scheme ...................................................................... 19Figure 4 - Canopy cover estimation techniques.......................................................... 21Figure 5 - Field spectroradiometer measurements of leafy spurge............................. 24Figure 6 - Individual and cumulative MNF band variance......................................... 26Figure 7 - Pixel Purity Index plots, Medicine Lodge ................................................ 29Figure 8 - Pixel Purity Index plot, Spencer................................................................. 30Figure 9 - Potential leafy spurge endmembers, Medicine Lodge ............................... 31Figure 10 - Potential leafy spurge endmembers, Spencer........................................... 32Figure 11 - Scatterplot of Infeasibility values versus MF scores................................ 34Figure 12 - Location of hyperspectral flightlines and reference samples................... 46Figure 13 - HyMap and Landsat processing flow....................................................... 53Figure 14 - Ground reference samples in the Medicine Lodge training area ............. 57

    Figure 15 - Spectral profiles of endmembers, MTMF classifications ........................ 59Figure 16 - Comparison of true and spectrally resample HyMap calssifications....... 65Figure 17 - Spectral profiles, true and spectrally resampled HyMap endmembers.... 66Figure 18 - Spencer true HyMap classification .......................................................... 67Figure 19 - Medicine Lodge true HyMap classification............................................. 68Figure 20 - Hypersectral flightlines and reference data, Spencer............................... 84Figure 21 - Hyperspectal flightlines and reference data, Medicine Lodge................. 85Figure 22 - Field spectroradiometer measurements of leafy spurge........................... 87

    Figure 23 - Infeasibility versus MF scatterplot calculated over training area ............ 89

    List of Tables

    Table 1 - Minimum DN thresholds............................................................................. 30Table 2 - Comparison of HyMap and Landsat classification performances............... 61Table 3 - Incremental Cover Evaluations ................................................................... 63

    Table 4 - Linear regression summaries, ground cover versus MF scores................... 92Table 5 - MF score image statistics ............................................................................ 92Table 6 - MF scaling behavior summary .................................................................... 94

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    SPECTRAL AND SPATIAL DETECTION LIMITS OF LEAFYSPURGE (EUPHORBIA ESULA L.): SENSOR COMPARISONS AND

    MATCHED FILTERED BEHAVIOR

    Thesis Abstract Idaho State University (2007)

    Two demonstration areas in southeast Idaho were used to extend research of remote

    sensing of leafy spurge (a noxious weed in Idaho) in two directions: 1) coarse scale

    detection for regional distribution mapping and monitoring, and 2) fine scale

    detection for abundance mapping using matched filter scores. While a Landsat TM5

    image classification indicated that the sensor is inadequate for regional distribution

    mapping, a spectrally degraded hyperspectral dataset, with 6 bands similar to those of

    the TM5, produced unexpectedly high results. These results suggest that a sensor with

    comparable spatial and spectral resolutions but improved instrumentation may offer a

    viable alternative for regional mapping of leafy spurge. Examination of the

    relationship between matched filter estimates and ground estimates of leafy spurge

    cover as well as the scaling behavior of matched filter scores both indicate that

    matched filter scores consistently underestimate true abundance. Results also indicate

    that matched filter estimates at the high resolution scale (3 m) are not equivalent to

    estimates at a coarser scale (up to 25 m) even though abundance measurements in the

    field were consistent at these scales. Investigation of MF scores suggests that it is not

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    Chapter 1: Introduction and Background

    1.1 Statement of Purpose

    The increasing rate and extent of harmful biological invasions are recognized

    as major components of global environmental change and as mounting, expensive

    national problems (Vitousek et al., 1997; Lodge et al., 2005). The overall cost of

    biological invasions in the United States, in terms of damage, loss and control, was

    estimated at $120 billion per year for approximately 50,000 species (Pimentel et al.,

    2005). Locally, the State of Idaho spends at least $7- $10 million per year controlling

    invasive species (Northwest Natural Resource Group, 2003).

    Invasive plant species can alter ecosystem functions and cause negative

    economic impacts in a number of ways, including devaluation of land; reduction of

    agricultural productivity and rangeland; loss of native habitat; decline of species

    diversity; and alteration of fire regimes and soil dynamics (Olson, 1999). Leafy

    spurge (Euphorbia esula L.) is an introduced plant listed as a noxious weed in parts of

    Canada and the north central and western United States. Once established, leafy

    spurge invasions can spread rapidly, causing particularly serious economic problems

    on rangelands, where grazing capacity sharply declines (Hein & Miller, 1992). For

    examples, large infestations of leafy spurge in the Dakotas, Montana, and Wyoming

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    Identifying new populations of leafy spurge is essential for long-term control

    because chemical treatments can eradicate new populations and prevent further

    infestation (Anderson et al., 2003). Hyperspectral remote sensors are capable of

    detecting new patches of leafy spurge with canopy cover as low as 10%, and can

    repeatedly detect leafy spurge with canopy cover of at least 40% in arid climates

    (Parker Williams & Hunt, 2002; Glenn et al., 2005). In addition to the early detection

    of new infestations, another critical component of long-term leafy spurge

    management is identifying and regularly monitoring high risk core infestations at the

    regional scale (i.e., 1:100,000). Frequent large scale mapping would enable the

    prioritization of containment areas suitable for large-scale treatment applications, the

    evaluation of treatment effectiveness, and the discernment of large-scale distribution

    and abundance patterns (Parker Williams & Hunt, 2002; Underwood et al., 2007).

    This study investigates two components of remote sensing of leafy spurge that

    are needed to move toward regional population distribution and abundance

    monitoring. Since previous hyperspectral studies of leafy spurge (ONeill et al., 2000;

    Root et al., 2002; Parker Williams & Hunt, 2002, 2004; Dudek et al., 2004; Kokaly et

    al., 2004; Glenn et al., 2005; Mundt et al., 2007) have established finer scale detection

    limits, the first component of this study investigates coarser scale detection limits. To

    gain better insight into coarser scale detection limits, the first research paper evaluates

    how leafy spurge mapping capabilities vary under different resolution scenarios

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    are sufficient for regional distribution mapping and monitoring purposes. The second

    research paper addresses matched filtering, which is a spectral mixture analysis

    product that in theory estimates sub-pixel target abundance or cover. There are only a

    few known studies that have focused on the use of matched filter scores to estimate

    vegetation abundance (Parker Williams & Hunt, 2002; Mundt et al., 2007). This study

    builds upon previous mixture-tune matched filtering classifications of leafy spurge

    (Dudek et al., 2004; Parker Williams & Hunt, 2002, 2004; Glenn et al., 2005) by

    addressing the need to determine if match filtering can be reliably used to produce

    vegetation abundance maps.

    1.2 Study Area

    Research was conducted on approximately 7,700 ha of sagebrush steppe on

    and in the vicinity of Medicine Lodge (-112 30W, 44 19N), and Spencer (-

    112 10W, 44 21N), Idaho, USA (Figure 1). Both sites are located just south of the

    Continental Divide, in the Centennial Mountains of Clark County, within 20 km of

    the town of Dubois. Riparian and meadow zones associated with Beaver Creek in

    Spencer and Medicine Lodge Creek in Medicine Lodge contain willows (Salix);

    sedges (Carex); rushes (Juncus); grasses such as spreading bentgrass (Agrostis

    stolonifera) and reed canary grass (Phalaris arundinacea); and forbs such as wild iris

    (Iris). These bottomlands transition into hillslopes characterized by xeric knolls, rock

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    Figure 1. Location of study area, with hyperspectral flightlines shown.

    - 4 -

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    serviceberry ( Amelanchier alnifolia), snowberry (Symphoricarpos), and chokecherry

    (Prunus virginiana).

    The Spencer area has a long history of leafy spurge invasion. The weed was

    likely first introduced into the towns of Dubois and Spencer by way of the Union

    Pacific Railroad, which was built in the late 1800s and located alongside Interstate

    15, both of which span the length of the Spencer study site. The railroad and the

    highway are two prominent sources of leafy spurge introduction in Spencer, and from

    these sources leafy spurge has continued to spread by way of creeks, draws, irrigation

    features, and recreational and livestock trails (S. Jacobson & K. Bramwell, pers.

    comm.). Large, dense infestations (acres) of leafy spurge occur on the Spencer study

    site. Biological treatments began in the early 1990s and two species of Apthona flea

    beetles ( A. nigriscutis and A. lacertosa) are believed to have established stable

    populations. Sheep have also grazed in enclosures in the Spencer area for the past 6 to

    7 years, due to leafy spurge management facilitated by the U.S. Department of

    Agriculture (USDA), Dubois Sheep Experiment Station. Chemical treatments within

    the Spencer area are concentrated along roads, all-terrain vehicle trails, and the

    railroad. Remote patches have also been treated in the past few years and noted in

    Geographical Information System (GIS) databases maintained by the Continental

    Divide Weed Management Area (CDWMA).

    The Medicine Lodge and surrounding drainages (i.e., Rocky Creek, Middle

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    site are located in the lower Medicine Lodge and Rocky Creek drainages, where

    infestations appear to have been introduced via water, spreading from creeks up

    hillslopes by way of draws and drainages. General distribution patterns that were

    observed at both the Medicine Lodge and Spencer sites include well-established

    colonies of leafy spurge associated with rock outcrops and areas of concentrated

    livestock use; and absence or low concentrations of leafy spurge associated with xeric

    knolls along hillslopes. Despite similar general distribution patterns, leafy spurge was

    present at high densities throughout the Medicine Lodge site, with ground cover

    estimates averaging 60%. In contrast, infestations at the Spencer site were

    characterized by a single expansive, core infestation, and infrequent occurrences of

    low density infestations throughout the remainder of the site. Ground cover estimates

    averaged 38% at the Spencer site. Both study sites contained areas where rugged or

    remote terrain made access difficult Medicine Lodge more so than Spencer.

    1.3 Background

    1.3.1 Leafy Spurge Invasion Characteristics

    An investigation into the origins and distribution of leafy spurge in North

    America concluded that early introductions of leafy spurge along the east coast and

    the central Great Plains were likely separate and that in the United States leafy spurge

    has spread westward from the central Great Plains (Dunn, 1979, 1985). Leafy spurge

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    Leafy spurge grows in dense patches 30 to 80 cm tall. Leafy spurge can form

    dense uniform patches, in part, because it exhibits alleopathy, a chemical plant

    process that prevents other associated species from growing too close (Steenhagen &

    Zindahl, 1979). The plant is identifiable by the milk latex substance it produces and

    by terminal, heart-shaped bracts, which are yellow-green and often confused for

    flowers when blooming. In Northern climates growth begins around late April and

    flowering begins mid-June to early July. Full bloom is followed by a period of

    dormancy, then a late season height increase in the fall, when most surrounding

    vegetation is dormant (Belcher & Wilson, 1989; Lajeunesse et al., 1999; Whitson et

    al., 2002). The species tends to dominate bottomlands; however, it is highly adaptable

    and can invade ridges, forest patches, and open mountain slopes from toe-slope to

    summit. Populations tend to do well on coarse textured soil, in dry habitats where

    competition is limited, and in disturbed areas such as roadsides, abandoned lands,

    pastures, rangelands, and recently burned sites (Selleck et al., 1962; Belcher &

    Wilson, 1989; Lajeunesse et al., 1999).

    The invasion mechanisms and reproductive characteristics of leafy spurge are

    such that complete eradication is unlikely. Land managers report that seeds are

    persistent and easily dispersed and transported by way of animals, mud, hay, and

    water. Reproduction can occur through extensive seed production as well as

    vegetative reproduction from both the crown and root buds (Bakke 1936; Bowes &

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    become a useful tool for efficiently mapping the distribution of some invasive plant

    species, including leafy spurge, over large areas that would otherwise be difficult to

    survey (Everitt et al., 1995a; Everitt & Yang, 2004; Lamb & Brown, 2001; Lewis et

    al., 2000).

    1.3.2 Remote Sensing of Vegetation and Sensor Comparison

    Most multispectral remote sensors detect solar reflectance and absorption of

    earth materials at a moderate spatial resolution by way of a few broad bands in the

    visible and infrared (near, short, and thermal) portions of the electromagnetic

    spectrum. Imaging spectrometry, or hyperspectral imaging, is a remote sensing

    technology whereby many narrow bands collect surface reflectance information by

    over-sampling throughout a near-continuous range of the visible, near infrared, and

    short-wave infrared regions of the electromagnetic spectrum (Goetz et al., 1985).

    Multispectral sensors such as Landsat Thematic Mapper, ASTER, and SPOT

    are satellite-based and provide global coverage at regular time intervals. Standard

    multispectral classification techniques have been developed to classify images into

    broad categories (Shippert, 2003). Remotely sensed data with spatial resolutions of 15

    to 30m pixels have been used for vegetation applications such as land/use land cover

    classification, rangeland and forestry monitoring, and land degradation. Such sensors

    are capable of differentiating individual invasive species in some cases where the

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    areas susceptible to invasion (Johnson, 1999; Morisette et al., 2006, Bradley &

    Mustard, 2005).

    Hyperspectral sensors such as HyMap and AVIRIS are airborne and cover

    relatively small, narrow geographic areas at irregular intervals and with spatial

    resolution typically ranging from 3 to 20 m. Compared to multispectral sensors,

    hyperspectral sensors have higher spectral, spatial, and radiometric resolution than

    multispectral data. Thus, they are more capable of distinguishing subtle spectral

    responses among species and improving quantitative model estimations of canopy

    structure and chemistry (Ustin et al., 2004). High spectral resolution also facilitates

    the use of linear spectral mixture analysis classification techniques that estimate sub-

    pixel abundance (Boardman, 1998; Aspinall et al., 2002). High spatial resolution

    airborne data increases the probability of detecting smaller infestations, but such

    images, when used for repeat monitoring, can present unique challenges in the way of

    georegistration and geometric errors (e.g., image rotation, non-uniform pixel shifts;

    Aspinall et al., 2002; Glenn et al., 2005). Additional challenges include successfully

    requesting and coordinating image acquisition, the need for extensive image

    processing techniques, and overall costs. Consequently, high resolution hyperspectral

    imagery is less suitable for frequent vegetative monitoring. Satellite-based

    hyperspectral imagery has the potential to overcome some of these challenges and has

    been collected by the Hyperion sensor (30m pixels) onboard NASAs Earth

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    1.3.3 Remote Sensing of Leafy Spurge

    During peak phenology, the yellow-green flower bracts of leafy spurge are

    spectrally unique and can be distinguished from surrounding vegetation using remote

    sensors because of higher reflectance in the visible region (0.5 to 0.7 m) and higher

    reflectance values and different shapes in the chlorophyll absorption region (0.55 to

    0.69 m; Everitt et al., 1995b; Anderson et al., 1996, 1999;Hunt et al., 2004; Parker

    Williams & Hunt 2002, 2004). Chlorophyll and carotenoid concentrations in the

    flower bracts explain the hue of the flower bracts, but not reflectance values, which

    could be caused by higher fluorescent emission of blue and red wavelengths from the

    leaves (Hunt et al., 2004).

    Both hyperspectral and multispectral sensors have been used, with varying

    degrees of success, to identify leafy spurge (Everitt et al., 1995b; ONeill et al., 2000;

    Dudek et al., 2004; Parker Williams & Hunt, 2002, 2004; Hunt & Parker Williams,

    2004; Glenn et al., 2005; Stitt et al., 2006). Several hyperspectral detection and

    change detection studies of leafy spurge have been conducted in Theodore Roosevelt

    National Park (TRNP) as part of a USDA Agricultural Research Station (ARS)

    sponsored 5-year research and demonstration program that focused on the control of

    leafy spurge (The Ecological Area-wide Management (TEAM) of leafy spurge;

    TEAM, 2006; ONeill et al., 2000; Dudek et al, 2004; Kokaly et al., 2004; Root et al.,

    2002, 2004; and Stitt et al., 2006). ONeill et al. (2000) applied a number of spectral

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    found that minimum noise fraction (MNF) transformed data yielded the most realistic

    results, but georegistration errors precluded detailed accuracy assessments. Dudek et

    al. (2004) also tested several image classification methods on AVIRIS imagery

    obtained over TRNP in 1999 and 2001 for leafy spurge change detection.

    Classification methods that were tested included SAM, linear spectral mixture

    analysis (Adams et al., 1993), spectral feature fitting (Clark et al., 1990), and mixture-

    tuned matched filtering (Boardman, 1998). The authors found that the mixture-tuned

    matched filtering algorithm produced the most accurate results, with an overall

    accuracy of 39% in 1999 and 47% in 2001. Further, despite high omission errors, in

    part due to registration issues, a regional change map of leafy spurge distribution

    from 1991 to 2001 was used to identify areas where successful treatments had

    reduced leafy spurge populations and other areas where leafy spurge was expanding

    and new control efforts would be needed.

    In a related study, Kokaly et al. (2004) used a different hyperspectral sensor,

    Compact Airborne Spectrographic Imager (CASI), to further investigate a decrease in

    leafy spurge cover from 2000 to 2001. Root et al. (2002) used images obtained from

    the Hyperion sensor on board the EO-1 satellite to classify leafy spurge. The

    Hyperion imagery were acquired in the summer of 2001 over TRNP and the SAM

    algorithm was used for classification, resulting in an overall accuracy of 63%. While

    the classification method underestimated leafy spurge occurrence it demonstrated

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    Imager has seven bands that are spectrally and spatially comparable to Landsat (30m

    pixels), as well as three panchromatic bands with a 10m spatial resolution. Stitt et al.

    (2006) used Advanced Land Imager (ALI) (with seven bands that are spectrally and

    spatially comparable to Landsat and a panchromatic band with a 10m spatial

    resolution) and unsupervised classification methods to produce conservative accuracy

    assessments in the range of 59% to 66%.

    Parker Williams and Hunt (2002, 2004) used AVIRIS imagery and MTMF to

    map leafy spurge near Devils Tower National Monument in northeastern Wyoming.

    The classifications were 75% to 95% accurate at predicting occurrences of large, high

    density leafy spurge infestations. Similar results were found by Glenn et al. (2005),

    who found that HyMap imagery (3.5m pixels, 127 bands (0.45 to 2.48 m) were able

    to detect leafy spurge cover as low as 10% within a 3.5m pixel and could repeatedly

    detect infestations at 40% cover over the same area. Overall classification accuracies

    for this study were above 84%.

    A limited number of known studies have compared the use of hyperspectral

    and multispectral imagery for leafy spurge detection (Hunt & Parker Williams, 2004;

    Root et al., 2004; Stitt et al., 2006). Hunt and Parker Williams compared the use of

    AVIRIS, Landsat 7, and SPOT for leafy spurge detection in prairie, riparian, and

    woodland covertypes. Several vegetation indices and various classification methods

    l d d h h d i d h f h h diff f

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    was applied to the imagery, overall classification accuracy increased from 68% to

    74% for AVIRIS, while overall classification accuracies decreased with Landsat and

    SPOT imagery.

    Root et al. (2004) evaluated remote sensing of leafy spurge research from

    1998 through 2003 and determined that hyperspectral detection of leafy spurge

    yielded slightly higher overall classification accuracies (63-78%) than multispectral

    classification accuracies (60-70%), although multispectral classification techniques

    and accuracy assessment details are unpublished. This study included cost/benefit

    analyses of satellite and aircraft-based sensors, which indicated that the use of

    multispectral sensors, possibly combined with predictive modeling, may be the most

    cost efficient means of mapping leafy spurge infestations at the regional scale.

    1.3.4 Mixture-Tuned Matched Filtering Classification

    Since hyperspectral remote sensing instruments sample at near-continuous

    wavelength intervals, linear mixture analysis methods have been developed to exploit

    the high dimensionality of the data. Linear spectral unmixing aims to un-mix pixels

    into component materials where the relative area occupied by each material

    represents abundance fractions that sum to 1 (Goetz et al., 1985; Boardman, 1995;

    Okin et al., 2001; Aspinall, 2002). A mixed pixel may have a combination of

    materials that add up to 100%, while a pure pixel ideally contains 100% of a single

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    14

    Figure 2. Spectral mixing and feasibility triangle (adopted from Boardman, 1995).

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    falls within this triangle represents some combination of materials A, B, and C, with

    greater degrees of mixing closest to the center of the triangle. Pixels outside of the

    triangle represent infeasible pixels that would be considered false positives (e.g.,

    artifacts of noise or instrument error).

    Mixture-tuned matched filtering (MTMF) is a spectral mixture analysis

    technique that has been successfully used in previous studies to identify leafy spurge

    in hyperspectral imagery (Parker Williams & Hunt 2002, 2004; Dudek et al., 2004;

    Glenn et al., 2005) and is the classification method primarily used in the studies

    presented herein. Mixture-tuned matched filtering, as implemented in Environment

    for Visualizing Images (ENVI; ITT, 2007), involves a series of four processing steps:

    1) a minimum noise fraction transformation (MNF) of the apparent reflectance data to

    reduce spectral redundancy, 2) the isolation of spectrally pure pixels from the MNF

    bands using a pixel purity indexing (PPI) procedure, 3) the selection of an

    endmember pixel from the collection of potentially pure pixels using the n-

    dimensional visualizer tool (N-DV), and 4) a MTMF partial unmixing algorithm to

    classify the MNF transformed reflectance data (Kruse, 2003). When endmembers are

    selected from pixels within the imagery, the MTMF classification is designed to

    select one spectrally pure pixel as an endmember to unmix and estimate subpixel

    target abundance in each image pixel.

    Th MNF f d i ENVI i difi d i f G l

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    north to Stoddard Creek. Two additional flightlines (1.75 by 10 km each) were

    located in the Medicine Lodge area, of which the first was oriented parallel and the

    second perpendicular to the Medicine Lodge Creek drainage. The perpendicular

    orientation captured portions of the plateaus and canyons formed by Rocky Creek,

    Middle Creek, and Indian Creek drainages (Figure 1).

    The HyMap instrument collects calibrated radiance data in 126 near-

    contiguous spectral bands (0.45 to 2.48 m) that range in width from 15 m in the

    visible and near infrared to 20 m in the shortwave infrared (Kruse et al., 2000). For

    comparative purposes, a single Landsat 5 image was acquired over the study area on

    June 13, 2006 (path 39, row 29). The Thematic Mapper (TM) on board the Landsat 5

    satellite collects data in 7 relatively wide bands: Band 1 (blue, 0.45 -0.52 m), Band 2

    (green, 0.52 - 0.60 m), Band 3 (red, 0.63-0.69 m), Band 4 (near-infrared, 0.76-0.90

    m), Band 5 (mid-infrared, 1.55-1.75m), Band 6 (thermal infrared, 10.4-12.5m),

    and Band 7 (mid-infrared, 2.08-2.35m). The thermal band has a spatial resolution of

    120 x 120 m and the other 6 bands have a spatial resolution of 30 x30 m.

    2.2 Field Data Collection

    Beyond North America Weed Management Association (NAWMA) mapping

    standards were used as a guide for field data collection (Stohlgren et al., 2005). The

    sample design used a 7.32-m (24-ft) radius circle with 3 transects extending from the

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    Figure 3. Modified beyond NAWMA field data collection scheme (adopted fromStohlgren et al., 2005).

    quadrats, each with an area of 1m2, were positioned to the right of the transects, at

    intervals of 1.8 m (6 ft), 3.7 m (12 ft), and 5.5 m (18 ft) from the plot center. The

    structure of the sampling plot is a slightly modified version of the Beyond NAWMA

    plot in that nine quadrats were used instead of three in order to improve the accuracy

    of abundance estimations. To calibrate ocular estimates of leafy spurge percent

    canopy cover across a continuous interval, estimates for the first five plots included

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    methods, the initial estimate at the plot scale and the average estimations using a

    point frame produced the closest results only one of the five calibration plots varied

    by more than one percent. On the other hand, estimations at the five calibration plots

    using the Daubenmire quadrat were consistently about 20% lower than estimates

    obtained using the other two methods. A single observer proceeded to estimate cover

    at plots with either high or low percent leafy spurge cover before moving on to plots

    with leafy spurge cover in the mid-range. For presence plots, field data collection

    typically included measurements and estimations at both the plot and quadrat level.

    Initial ocular cover estimates of leafy spurge were made at the plot scale, then the

    Daubenmire frame was also used to estimate leafy spurge percent canopy cover to the

    nearest percent at each of the nine quadrats. Similar percent canopy cover estimations

    were made for shrub, bare ground, and rock. Although the point frame estimation

    technique was designed for sagebrush steppe ecosystems and is regarded as a more

    objective estimation method than visual cover estimation (Bonham, 1989), the

    Daubenmire frame was chosen as the cover estimation method. The Daubenmire

    frame provides for ease of use and speed, and is more effective at locating rare

    species (Meese & Tomich, 1992; Dethier et al., 1993), which was a field data

    collection criterion. In the final analysis, regression plots (Appendix A) indicated that

    there was strong agreement between the ocular cover estimation techniques at the plot

    and quadrat level for both leafy spurge (r2 = 0.76) and shrub (r2 = 0.82). These

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    a

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    In addition to cover estimations, leafy spurge height was measured, individual

    species within the plots were identified, and the total number of species recorded. A

    walking species search was also conducted to identify any new plant species that

    were not previously identified during the quadrat sampling. Additional ancillary

    information was also collected, including slope, aspect, elevation, distance from road,

    and distance from water. For absence plots, ocular estimates of shrub and bare ground

    cover were typically recorded at the plot level. Individual species were also identified,

    and the total number of species recorded. A sample field data collection form is also

    provided in Appendix A,as well as a summary of field data collection results.

    Sampling was initiated at the Spencer site on June 16, 2006, a few days prior

    to full bloom and continued during and shortly after peak phenology, ending July 26,

    2006. A total of 56 plots, 43 present and 13 absent, were sampled in Spencer.

    Validation samples were collected in Medicine Lodge from July 26 to August 13,

    2006, after peak phenology. A total of 55 plots, 43 present and 12 absent, were

    sampled in Medicine Lodge.

    2.3 Field Spectroscopy

    To assess the spectral characteristics of leafy spurge ground cover data at

    varying percent covers, a field spectroradiometer (Analytical Spectral Device (ASD),

    Boulder CO) was used to measure the spectral signatures of leafy spurge at three

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    The instrument was calibrated prior to measurements at each location using dark and

    white reflectance panels. A series of 15 readings were collected for each infestation

    and representative signatures were selected for comparison (Figure 5). These field

    measurements indicate that the magnitude of reflectance values is directly related to

    the density of the infestation. The spectral signatures were collected two days after

    image acquisition (June 30, 2006), at the same time of day that the imagery was

    acquired, and under similar atmospheric conditions. Errors in the ASD prevented the

    collection of spectral data concurrent with image acquisition.

    2.4 Mixture-Tuned Matched Filtering Classification

    The hyperspectral imagery that was acquired over the study area by HyVista

    was delivered with radiometric and geometric corrections. Radiance values were

    converted by the vendor to apparent reflectance using the HyCorr absolute

    atmospheric correction modeling package. After a preliminary evaluation of the data,

    bands 1 (0.4538 um), 63 (1.3893 um), 64 (1.4042 um), and 126 (2.4963 um) were

    removed from both mosaics due to the obvious influence of noise and water

    absorption. Similarly, the 2 hyperspectral flightlines collected over the Medicine

    Lodge study site were processed as a single georeferenced mosaic and the 3

    flightlines collected over the Spencer study site were processed as a single

    georeferenced mosaic. Masks were then applied to the mosaic backgrounds to

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    -20

    980

    1980

    2980

    3980

    4980

    0.35 0.55 0.75 0.95 1.15 1.35 1.56 1.76 2.05 2.25 2.45

    Wavelength (microns)

    Re

    flectance(x10,000)

    98% leafy spurge cover

    63% leafy spurge cover

    34% leafy spurge cover

    Figure 5. Field spectroradiometer measurements of leafy spurge at locations with 34%, 63%, and 98% cover. Atmosphericwindows excluded for clarity.

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    of the Medicine Lodge and Spencer study areas. The two study sites were classified

    independently, as the use of a single endmember from the Medicine Lodge training

    area, when applied to both sites, produced unrealistic classification results for the

    Spencer site. In addition, nonparametric Kolmogorov-Smirnov (P = 0.037) and

    Mann-Whitney (z-score = 2.832) tests were used to compare the distribution shapes

    and population statistics for leafy spurge cover data collected at the Medicine Lodge

    and Spencer sites. Both tests concluded that the Medicine Lodge and Spencer sites

    were not statistically similar at a 95% confidence level.

    2.4.1 Minimum Noise Fraction (MNF)

    As mentioned previously (Section 1.3.4), the first processing step in the

    mixture-tuned matched filter (MTMF) classification is to transform the apparent

    reflectance bands into Minimum Noise Fraction (MNF) bands to reduce spectral

    redundancy and noise in the data sets. To segregate noise from the data, cumulative

    eigenvalue plots were used to partition MNF transformed bands associated with

    larger eigenvalues and greater coherence from MNF bands dominated by noise

    (Kruse, 2003). For the Medicine Lodge mosaic, the cumulative band variance plot

    determined that the first 30 MNF bands explained 82% of the data (Figure 6a). Given

    that visual inspection of the bands also demonstrated noticeable degradation after

    band 30, the first 30 MNF bands were selected as input for pixel purity indexing the

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    Medicine Lodge

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    0 20 40 60 80 100 120

    MNF Band

    Variance(%)

    a..

    Spencer

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    0 20 40 60 80 100 120

    Variance(%)

    b..

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    noticeable degradation after band 40, the first 40 MNF bands were selected as input

    for pixel purity indexing.

    2.4.2 Pixel Purity Index (PPI)

    Pixel purity indexing identifies the most spectrally pure pixels in an image in

    an effort to narrow the selection of a single leafy spurge endmember pixel to use for

    the MTMF classification. Potentially pure pixels are identified by randomly

    generating scatter plots of MNF bands of varying dimensions (total of 30 in the case

    of Medicine Lodge, and 40 in the case of Spencer) for a specified number of

    iterations, at a specified threshold. The threshold is a factor of the variance within the

    data set, where a greater threshold equates to a greater chance of including mixed

    pixels. A threshold factor of 2 or 3 is recommended for MNF data (ITT, 2007). For

    both mosaics, 20,000 iterations were selected, with a threshold of 3.5. When PPI

    processing is complete, a plot of the number of potentially pure pixels found at each

    iteration is generated. This plot typically resembles a step function that asymptotically

    approaches a flat line when all potentially pure pixels are found (ITT, 2007). For the

    Medicine Lodge study site, after iteration 17,751, the total pixel count jumped from

    6,667 to 53,491, and by iteration 17, 776, the total pixel count is more than 1, 200,000

    (Figure 7). If more than 17,754 iterations were specified, the plot changes from a

    convex curve to a step function. Potential spectrally pure pixels that were found after

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    DN value must be specified, where the DN value in the PPI image is a brightness

    value. Dark values (low DN) represent spectrally un-pure pixels and bright values

    (high DN) represent spectrally pure pixels (ITT, 2007). A minimum DN threshold

    value of 2 was used for the Medicine Lodge study site and a threshold DN of 1 was

    used for the Spencer study site (Table 1). These thresholds are considered a good

    trade-off between a group of too few pixels and a group of too many pixels from

    which an endmember is selected.

    2.4.3 Endmember Selection and n-D Visualizer

    In the n-D Visualizer (N-DV), MNF pixel data are viewed on scatterplots that

    can be rotated in MNF band space. The MNF bands are the plot axes, where the total

    number of MNF bands equates to the total number of dimensions that can be

    visualized. Purer pixels occur in clusters at the corners of the pixel cloud and can be

    interactively selected, viewed, and compared to field data and reflectance image

    locations (ITT, 2007). The N-DV tool was used to interactively explore different

    classes within the Medicine Lodge mosaic (e.g., roads/high reflectance; rock;

    saturated areas; soil/bare ground; and leafy spurge with canopy cover of

    approximately 60% or more). Next, potentially pure pixels that geographically

    coincided with areas of high percent leafy spurge cover on the ground (training areas)

    were selected as potential endmembers for classifying the imagery. For each study

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    a..

    b..

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    Figure 8. Pixel purity index plot for Spencer site at 10,000 iterations with a thresholdof 3.5.

    Med. Lodge Spencer

    DN value # Pure Pixels # Pure Pixels

    >29 275 107

    >25 311 116

    >20 386 125

    >15 493 140

    >10 685 160

    >5 1204 206

    >2 2915 351

    >1 11,713,152 749

    >0 15,824,187 15,306,784

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    0

    1000

    2000

    3000

    4000

    5000

    6000

    0.45 0.95 1.45 1.95 2.45

    Wavelength (microns)

    PercentReflectance(x10,0

    00)

    Figure 9. Potential leafy spurge endmembers for the Medicine Lodge study site. The spectral profile of the pixelselected to use for classification is depicted as ( ).

    31

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    Figure 10. Potential leafy spurge endmembers for the Spencer study site. The spectral profile of the pixel selected to use forclassification is depicted as ( )

    0

    1000

    2000

    3000

    4000

    5000

    6000

    0.45 0.95 1.45 1.95 2.45

    Wavelength (microns)

    Reflectance(x10,0

    00)

    32

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    Figure 11.Scatterplot of Infeasibility values versus MF scores for Medicine Lodge. The shadedarea represents leafy spurge presence.

    34

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    were then mathematically combined in ArcMap GIS such that values below the

    threshold equated to presence and values above the threshold equated to absence.

    2.4.5 Georegistration

    Map classification accuracy can be influenced by radiometric and geometric

    errors introduced during the data acquisition process (Jensen, 2005). The HyMap

    sensor is typically calibrated in the lab prior to image acquisition to minimize the

    influence of incorrect radiance measurements (Cocks et al., 1998). Atmospheric and

    geometric corrections applied to the imagery during vendor prep-processing are

    designed to further minimize introduced error. However, residual random geometric

    error from sources such as the roll, yaw, and tilt of the aircraft, can influence

    locational accuracy and should be evaluated.

    To assess HyMap georegistration error, 10 differentially corrected GPS

    ground control points were collected in the central Spencer flightline and nine in the

    North-South Medicine Lodge flightline. Ground control points were collected for

    these two flightlines because they contained the majority of ground reference

    samples. Directional shifts occurred non-uniformly, with minimum errors of 0.29m

    and 0.38m, maximum errors of 6.11m and 1.57m, and mean errors of 3.39m and

    0.813m for the Medicine Lodge and Spencer flightlines respectively (Appendix B).

    The validation plots (7.32m radius) were treated as polygons (168.25m2), and for the

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    Error matrices that compare classified map polygons or pixels to ground

    reference samples are typically used in remote sensing to assess map accuracy and

    calculate different error metrics, such as Users accuracy, Producers accuracy, and

    overall accuracy (Congalton & Green, 1999; Congalton, 2004; Foody, 2004). The

    Users accuracy represents the percentage of pixels that are correctly classified on the

    ground and the Producers accuracy represents the percentage of a given class (e.g.,

    absence or presence) that is correctly identified on the map. The overall accuracy is a

    ratio of the number of correctly classified samples to the total number of samples. An

    example error matrix with calculations for Users, Producers and overall accuracy is

    presented in Appendix C, along with accuracy assessment results for all

    classifications that were conducted in this study. The error matrix also characterizes

    error in terms of errors of commission (false positives) and errors of omission (false

    negatives). Errors of commission are samples that, in this study, did not contain leafy

    spurge on the ground, but were classified as leafy spurge on the map. Likewise, errors

    of omission are samples that contained leafy spurge on the ground, but were omitted

    on the classified map.

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    Chapter 3: Manuscript 1

    Leafy spurge (Euphorbia esula L.) classification performance usinghyperspectral (HyMap) and multispectral (Landsat Thematic Mapper 5)sensors

    Abstract

    Two demonstration sites in southeast Idaho were used to extend the scope of remote

    sensing of leafy spurge research by shifting the focus from establishing finer scale

    detection limits using high spectral and/or spatial resolution sensors toward

    investigating coarser scale detection limits. Hyperspectral images were obtained to

    produce baseline leafy spurge maps, from which spatially and/or spectrally degraded

    images were subsequently derived for comparative purposes with Landsat TM5. The

    baseline presence / absence maps had an overall accuracy of 67% at the Spencer

    study site, and 85% at the Medicine Lodge study site. Unexpectedly high accuracy

    results were produced from the images that were spectrally degraded to the

    bandwidths of Landsat TM5, which suggests that high spectral resolution is not

    critical to leafy spurge detection. However, a classification using a true Landsat TM5

    image indicates that the sensor is inadequate for regional distribution monitoring. The

    differences in results between the true and simulated images suggest that a sensor

    with comparable resolutions but improved instrumentation (e.g. signal to noise) may

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    3.1 Introduction

    The increasing rate and extent of harmful biological invasions are recognized

    as major components of global environmental change and as mounting, expensive

    national problems (Vitousek et al., 1997; Lodge et al., 2005). The overall cost of

    biological invasions in the United States, in terms of damage, loss and control, is

    estimated at $120 billion per year for approximately 50,000 species (Pimentel et al.,

    2005). Invasive plant species can alter ecosystem functions and cause negative

    economic impacts in a number of ways, including devaluation of land; reduction of

    agricultural productivity and rangeland; loss of native habitat; decline of species

    diversity; and alteration of fire regimes and soil dynamics (Olson, 1999). Leafy

    spurge (Euphorbia esula L.) is an introduced plant listed as a noxious weed in parts of

    Canada and the north central and western United States. Once established, leafy

    spurge invasions can spread rapidly, causing particularly serious economic problems

    on rangelands, where grazing capacity sharply declines (Hein & Miller, 1992). Leafy

    spurge now infests approximately 2 million hectares of rangeland, pastures, hillsides

    and riparian areas in North America, where the size of infested areas has been

    doubling nearly every 10 years (Quimby & Wendel, 1997).

    The invasion mechanisms and reproductive characteristics of leafy spurge are

    such that complete eradication is unlikely. Land managers report that seeds are

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    widespread and cost-effective tools are needed to monitor changes in leafy spurge

    distribution and abundance over time (Anderson et al., 2003). Remote sensing has

    become a useful tool for efficiently mapping the distribution of some invasive plant

    species, including leafy spurge, over large areas that would otherwise be difficult to

    survey (Everitt et al., 1995b; Everitt & Yang, 2004; Lamb & Brown, 2001; Lewis et

    al., 2000).

    3.1.1 Sensor Comparison

    Most multispectral remote sensors detect solar reflectance and absorption of

    earth materials at a moderate spatial resolution by way of a few broad bands in the

    visible and infrared (near, short, and thermal) portions of the electromagnetic

    spectrum. Imaging spectrometry, or hyperspectral imaging, is a remote sensing

    technology whereby many narrow bands collect surface reflectance information

    throughout a near-contiguous range of the visible, near infrared, and short-wave

    infrared portions of the electromagnetic spectrum (Goetz et al., 1985).

    Multispectral sensors such as Landsat Thematic Mapper, ASTER, and SPOT

    are satellite-based and provide global coverage at regular time intervals. Standard

    multispectral classification techniques have been developed to classify images into

    broad categories (Shippert, 2003). Remotely sensed data with spatial resolutions of 15

    to 30m pixels have been used for vegetation applications such as land/use land cover

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    MODIS) may also improve the ability of predictive models to identify areas

    susceptible to invasion (Johnson, 1999; Morisette et al., 2006, Bradley & Mustard,

    2005).

    Hyperspectral sensors such as HyMap and AVIRIS are airborne and cover

    relatively small, narrow geographic areas at irregular time intervals and with spatial

    resolution typically ranging from 3 to 20 m. Compared to multispectral sensors,

    hyperspectral sensors have higher spectral, spatial, and radiometric resolution than

    multispectral data. Thus, they are more capable of distinguishing subtle spectral

    responses among species and improving quantitative model estimations of canopy

    structure and chemistry (Ustin et al., 2004). High spectral resolution facilitates the use

    of linear spectral mixture analysis classification techniques that estimate sub-pixel

    abundance (Boardman, 1998; Aspinall et al., 2002). High spatial resolution airborne

    data increases the probability of detecting smaller infestations, but such images, when

    used for repeat monitoring, can present unique challenges in the way of

    georegistration and geometric errors (e.g., image rotation, non-uniform pixel shifts;

    Aspinall et al., 2002; Glenn et al., 2005). Additional challenges include successfully

    requesting and coordinating image acquisition, the need for extensive image

    processing techniques, and overall costs. As such, high resolution hyperspectral

    imagery is less suitable for frequent vegetative monitoring. Satellite-based

    hyperspectral imagery has the potential to overcome some of these challenges and has

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    3.2 Previous Work

    During peak phenology, the yellow-green flower bracts of leafy spurge are

    spectrally unique and can be distinguished from surrounding vegetation using remote

    sensors because of higher reflectance in the visible region (0.5 to 0.7 m) and higher

    reflectance values and different shapes in the chlorophyll absorption region (0.55 to

    0.69 m; Everitt et al., 1995b; Anderson et al., 1996, 1999;Hunt et al., 2004; Parker

    Williams & Hunt 2002, 2004). Chlorophyll and carotenoid concentrations in the

    flower bracts explain the hue of the flower bracts, but not reflectance values, which

    could be caused by higher fluorescent emission of blue and red wavelengths from the

    leaves (Hunt et al., 2004).

    Both hyperspectral and multispectral sensors have been used, with varying

    degrees of success, to identify leafy spurge (Everitt et al., 1995b; ONeill et al., 2000;

    Dudek et al., 2004; Parker Williams & Hunt, 2002, 2004; Hunt & Parker Williams,

    2004; Glenn et al., 2005; Stitt et al., 2006). Several hyperspectral detection and

    change detection studies of leafy spurge have been conducted in Theodore Roosevelt

    National Park (TRNP) as part of a United States Department of Agriculture

    Agricultural Research Station (USDA-ARS) sponsored 5-year research and

    demonstration program that focused on the control of leafy spurge (The Ecological

    Area-wide Management (TEAM) of leafy spurge; ONeill et al., 2000; Dudek et al,

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    minimum noise fraction (MNF) transformed data yielded the most realistic results,

    but georegistration errors precluded detailed accuracy assessments. Using the same

    dataset, Dudek et al. (2004) tested several image classification methods, including

    SAM, linear spectral mixture analysis (Adams et al., 1993), spectral feature fitting

    (Clark et al., 1990), and mixture-tuned matched filtering (MTMF; Boardman, 1998).

    The authors found that the MTMF algorithm produced the most accurate results, with

    an overall accuracy of 39% in 1999 and 47% in 2001. Further, despite high omission

    errors, in part due to registration issues, a regional change map of leafy spurge

    distribution from 1991 to 2001 was used to identify areas where successful treatments

    had reduced leafy spurge populations and other areas where leafy spurge was

    expanding and new control efforts would be needed.

    In a related study, Kokaly et al. (2004) used a different hyperspectral sensor,

    Compact Airborne Spectrographic Imager (CASI), to further investigate a decrease in

    leafy spurge cover from 2000 to 2001. Root et al. (2002) used images obtained from

    the Hyperion sensor on board the EO-1 satellite to classify leafy spurge. The

    Hyperion imagery were acquired in the summer of 2001 over TRNP and the SAM

    algorithm was used for classification, resulting in an overall accuracy of 63%. While

    the classification method underestimated leafy spurge occurrence, it demonstrated

    that the target could be discriminated when mixed with up to 65% of other vegetation

    types The Advanced Land Imager (ALI) sensor also on board EO-1 acquired

    (2006) d Ad d L d I (ALI) ( i h b d h ll d

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    (2006) used Advanced Land Imager (ALI) (with seven bands that are spectrally and

    spatially comparable to Landsat and a panchromatic band with a 10m spatial

    resolution) and unsupervised classification methods to produce conservative accuracy

    assessments in the range of 59% to 66%.

    Parker Williams and Hunt (2002, 2004) used AVIRIS imagery and MTMF to

    map leafy spurge near Devils Tower National Monument in northeastern Wyoming.

    The classifications were 75% to 95% accurate at predicting occurrences of large, high

    density leafy spurge infestations. Similar results were found by Glenn et al. (2005),

    who found that HyMap imagery (3.5m pixels, 127 bands (0.45 to 2.48 m) were able

    to detect leafy spurge cover as low as 10% within a 3.5m pixel and could repeatedly

    detect infestations at 40% cover over the same area. Overall classification accuracies

    for this study were above 84%.

    A limited number of known studies have compared the use of hyperspectral

    and multispectral imagery for leafy spurge detection (Hunt & Parker Williams, 2004;

    Root et al., 2004; Stitt et al., 2006). Hunt and Parker Williams compared the use of

    AVIRIS, Landsat 7, and SPOT for leafy spurge detection in prairie, riparian, and

    woodland covertypes. Several vegetation indices and various classification methods

    were evaluated and the authors determined that, for the three different types of

    imagery, a green: red reflectance ratio correlated best with cover measurements and

    h b l i l i d l ifi i i di ( ll

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    spurge infestations (both current and historic) and monitoring regional distribution

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    spurge infestations (both current and historic) and monitoring regional distribution

    and abundance patterns.

    3.3 Methods

    3.3.1 Study site

    Research was conducted on approximately 7,700 ha of sagebrush steppe on

    and in the vicinity of Medicine Lodge (-112 30W, 44 19N), and Spencer (-

    112 10W, 44 21N), Idaho, USA (Figure 12). Both sites are located just south of the

    Continental Divide, in the Centennial Mountains of Clark County, within 20 km of

    the town of Dubois. Riparian and meadow zones associated with Beaver Creek in

    Spencer and Medicine Lodge Creek in Medicine Lodge contain willows (Salix);

    sedges (Carex); rushes (Juncus); grasses such as spreading bentgrass (Agrostis

    stolonifera) and reed canary grass (Phalaris arundinacea); and forbs such as wild iris

    (Iris). These bottomlands transition into hillslopes characterized by xeric knolls, rock

    outcrops, and mesic draws. Sagebrush (Artemisia), bitterbrush (Purshia), rabbitbrush

    (Chrysothamnus), and a variety of grasses (Elymus, Poa, Phleum, Bromus), and forbs

    ( Lupinus, Comandra, Achillea, Balsamorhiza, Aster, Potentilla) occur on drier sites,

    while drainages are characterized by aspen (Populus tremuloides) and shrubs such as

    serviceberry ( Amelanchier alnifolia), snowberry (Symphoricarpos), and chokecherry

    (Prunus virginiana).

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    Figure 12. Location of hyperspectral flightlines and reference samples.

    46

    Pacific Railroad, which was built in the late 1800s and located alongside Interstate

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    Pacific Railroad, which was built in the late 1800 s and located alongside Interstate

    15, both of which span the length of the Spencer study site. The railroad and the

    highway are two prominent sources of leafy spurge introduction in Spencer, and from

    these sources leafy spurge has continued to spread by way of creeks, draws, irrigation

    features, and recreational and livestock trails (S. Jacobson & K. Bramwell, pers.

    comm.). Dense infestations of leafy spurge as large as 0.75km2 occur in the Spencer

    area. Biological treatments were begun in the early 1990s and two species of Apthona

    flea beetles (A. nigriscutis and A. lacertosa) show evidence of stable population

    levels. Sheep have also been grazed on enclosures in the Spencer area for the past 6

    to7 years, which has been facilitated by Dubois Sheep Experiment Station

    involvement. Chemical treatments within the Spencer area are concentrated along

    roads, all-terrain vehicle trails, and the railroad. Remote patches have also been

    treated in the past few years and noted in Geographical Information System (GIS)

    databases maintained by the Continental Divide Weed Management Area (CDWMA).

    The Medicine Lodge and surrounding drainages (i.e., Rocky Creek, Middle

    Creek, and Indian Creek) have a somewhat shorter invasion history than Spencer

    because the railroad is further away, although Medicine Lodge infestations were

    exacerbated by fire in 2003. The heavier concentrations of leafy spurge are located in

    the lower Medicine Lodge and Rocky Creek drainages, where infestations appear to

    have been introduced via water spreading from creeks up hillslopes by way of draws

    low concentrations of leafy spurge associated with xeric knolls along hillslopes.

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    y p g g p

    Despite similar general distribution patterns, leafy spurge is present at high densities

    throughout the Medicine Lodge site, with ground cover estimates averaging 60%

    (described below). In contrast, infestations at the Spencer site are characterized by a

    single expansive, core infestation, and infrequent occurrences of low density

    infestations throughout the remainder of the site. Ground cover estimates averaged

    38% at the Spencer site. Both study sites contained areas where rugged or remote

    terrain made access difficult Medicine Lodge more so than Spencer.

    3.3.2 Image acquisition

    In this study, the high spectral and spatial resolutions of hyperspectral imagery

    were necessary for obtaining baseline data, from which spectrally and/or spectrally

    degraded images could be derived for comparative purposes. The relatively coarser

    spectral and spatial resolutions of Landsat imagery were necessary to assess the

    validity of the degraded image results and the suitability of using widely available

    multispectral satellite imagery for regional distribution mapping.

    Hyperspectral imagery were collected over the study area using the HyMap

    sensor (operated by HyVista, Inc.) mounted on an aircraft flying about 1000m above

    the ground to obtain 3.2 by 3.2 m pixel resolution. The HyMap sensor collected 5

    flightlines of data on June 28, 2006, which was an optimal date for capturing leafy

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    multispectral scales the plots are treated as polygons at the hyperspectral scale and

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    as individual pixels at the multispectral scale.A Trimble GeoXT model GPS receiver

    (Trimble Navigation Limited, Westminster CO) was used to collect geographic

    locations of plots and infestation boundaries, which were then differentially corrected.

    Sampling was initiated at the Spencer site on June 16, 2006, a few days prior to full

    bloom and continued during and shortly after peak phenology, ending July 26, 2006.

    A total of 56 plots, 43 with leafy spurge present, and 13 with leafy spurge absent were

    sampled in Spencer. Validation samples were collected in Medicine Lodge from July

    26 to August 13, 2006, after peak phenology. A total of 55 plots, 43 with leafy spurge

    present, and 12 with leafy spurge absent were sampled in Medicine Lodge.

    3.3.4 Image Pre-processing

    All image pre-processing and processing, unless otherwise stated, was

    performed using the Environment for Visualizing Images (ENVI) version 4.3

    software (ITT Visual Information Solutions, Boulder, CO). Hyperspectral radiance

    values were converted by the vendor to apparent reflectance using the HyCorr

    absolute atmospheric correction modeling package. The multispectral imagery was

    converted to apparent reflectance with ENVIs atmospheric correction package

    FLAASH. The absolute atmospheric corrections produced scaled surface reflectance

    values that account for scattering and absorption of solar radiation by the earths

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    um), and 126 (2.4963 um) were removed from both mosaics due to the obvious

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    influence of noise and water absorption. Masks were applied to the mosaic

    backgrounds to minimize the influence of the high number of background pixels on

    image classification results. The two study sites were classified independently, as the

    use of a single endmember from the Medicine Lodge training area, when applied to

    both sites, produced unrealistic classification results for the Spencer site. In addition,

    nonparametric Kolmogorov-Smirnov (P = 0.037) and Mann-Whitney (z-score =

    2.832) tests were used to compare the distribution shapes and population statistics for

    leafy spurge cover data collected at the Medicine Lodge and Spencer sites. Both tests

    concluded that the ground reference data sampled at the Medicine Lodge and Spencer

    sites were not statistically similar at a 95% confidence level.

    To explore changes in leafy spurge detection performance at coarsened

    spectral and spatial resolutions, different combinations of spectral and spatial

    resampling were applied to the Medicine Lodge HyMap mosaic (121 bands, 3.2m

    pixels) to produce 3 additional images: a spatially resampled image, a spectrally

    resampled image, and a spectrally and spatially resampled image (Figure 13). The

    spatially resampled image was generated using a nearest neighbor resampling method

    to simulate the Landsat TM5 spatial resolution (28.5m pixels) while retaining

    hyperspectral resolution (121 bands). The spectrally resampled image was generated

    using a filter function to simulate the 6 relatively wide non-thermal bands of the

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    Figure 13. Flow diagram depicting classification methods and spatial and spectral resampling processing parameters for theMedicine Lodge hyperspectral imagery (a), the Spencer hyperspectral imagery (b), and the Landsat TM5 imagery (c).

    53

    c.

    SPENCER

    True HyMap

    121 Bands, 3.3m pixels

    MEDICINE LODGETrue HyMap

    121 Bands, 3.2m pixels

    MTMF Classification

    MTMF Classification

    True Landsat6 Bands

    30m pixels

    True Landsat6 Bands

    30m pixels

    True Landsat6 Bands

    30m pixels

    MTMF Classificationtuned to

    Medicine Lodge Area

    SAM Classification

    Entire Landsat Scene

    MTMF Classificationtuned to

    Spencer Area

    SPATIALRESAMPLE

    SPATIAL&

    SPECTRAL

    RESAMPLE

    SPECTRALRESAMPLE

    HyMap

    Spatially

    Resampled

    121 Bands

    28.5m pixels

    HyMap

    6 Bands

    28.5m pixels

    SIMULATED

    LANDSAT TM

    HyMap

    Spectrally

    Resampled

    6 Bands

    3.2m pixels

    MTMF Classifications

    SPENCER

    True HyMap

    121 Bands, 3.3m pixels

    MEDICINE LODGETrue HyMap

    121 Bands, 3.2m pixels

    MTMF Classification

    SAM Classification

    Entire Landsat Scene

    MTMF Classificationtuned to

    Medicine Lodge Area

    MTMF Classificationtuned to

    Spencer Area

    True Landsat6 Bands

    30m pixels

    True Landsat6 Bands

    30m pixels

    True Landsat6 Bands

    30m pixels

    HyMap

    Spectrally

    Resampled

    6 Bands

    3.2m pixels

    SPATIALRESAMPLE

    SPATIAL&

    SPECTRAL

    RESAMPLE

    SPECTRALRESAMPLE

    MTMF Classification

    HyMap

    Spatially

    Resampled

    121 Bands

    28.5m pixels

    HyMap

    6 Bands

    28.5m pixels

    SIMULATED

    LANDSAT TM

    MTMF Classifications

    b.

    a.

    28.5m. A similar approach was used in a related study to explore the detection

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    potential of 3 invasive species within the context of 6 vegetation communities

    (Underwood et al., 2007). The Medicine Lodge data was chosen over the Spencer

    data to be resampled because preliminary results indicated that it performed better at

    detecting leafy spurge.

    3.3.6 Image Classification

    Mixture-tuned matched filtering (MTMF) is a spectral mixture analysis

    technique that has been successfully used in previous studies to identify leafy spurge

    in hyperspectral imagery (Parker Williams & Hunt, 2002, 2004; Dudek et al., 2004;

    Glenn et al., 2005, Mundt et al., 2007). Mixture-tuned matched filtering, as

    implemented in ENVI, involves a series of 4 processing steps: 1) a minimum noise

    fraction transformation (MNF) of the apparent reflectance data to reduce spectral

    redundancy, 2) the isolation of spectrally pure pixels from the MNF bands using a

    pixel purity indexing (PPI) procedure, 3) the selection of an endmember pixel from

    the collection of potentially pure pixels using the n-dimensional visualizer tool (N-

    DV), and 4) a MTMF partial unmixing algorithm to classify the MNF transformed

    reflectance data (Boardman, 1998). A mixed pixel may have a combination of

    materials that add up to 100%, while a pure pixel ideally contains 100% of a single

    material. When endmembers are selected from pixels within the imagery, the MTMF

    abundance, where a value of 1 indicates a perfect match, and pixels below the

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    background distribution indicate no match. Infeasibility values provide estimates of

    how closely the pixels approximate the endmember pixel, or the likelihood that the

    classified pixel is a false positive. A high infeasibility value indicates a high

    likelihood of misclassification (ITT, 2007). False positives can be reduced by

    interactively selecting an infeasibility threshold such that pixels with low MF scores

    must have low infeasibility scores and pixels with higher MF scores are allowed

    higher infeasibility values. For weed management purposes, and the purposes of this

    study, over-prediction is favored, as there is a greater risk associated with overlooking

    a new infestation than with falsely identifying leafy spurge presence.

    Mixture-tuned matched filter classifications were applied to the Spencer true

    HyMap mosaic, the Medicine Lodge true HyMap mosaic, the 3 resampled Medicine

    Lodge HyMap mosaics, and the true Landsat TM5 image (Figure 13). First, forward

    MNF transformations were applied to the reflectance bands of each dataset. Noise

    statistics estimated during these transformations used shift differencing over the

    complete scenes rather than over homogenous subsets (dark current measurements

    from the sensors were not available) because an associated study found that full scene

    estimations result in less spectral confusion when distinguishing target vegetation

    from surrounding vegetation types (Mundt et al., 2007). For the Spencer true HyMap

    mosaic the first 40 MNF bands explained 83% percent of the data Given that visual

    inspection of the bands demonstrated noticeable degradation after band 30. Therefore,

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    the first 30 MNF bands were selected as input for pixel purity indexing. The first 30

    MNF bands were also retained for the spatially degraded Medicine Lodge HyMap

    mosaic. For images with 6 simulated or true Landsat TM5 bands (i.e., spectrally

    resampled Medicine Lodge HyMap mosaic, spectrally and spatially resampled

    Medicine Lodge HyMap mosaic, and the true Landsat image), all six bands were

    retained for subsequent classification steps.

    Pixel purity indexing of the first 40 MNF bands in the Spencer imagery

    identified 6 potentially pure pixels that coincided with a known infestation of leafy

    spurge from field analysis. A single ground reference plot was associated with this

    infestation and subsequently defined as a training area for the classifications and

    removed from the pool of Spencer validation samples. Pixel purity indexing of the

    first 30 MNF bands for the Medicine Lodge true HyMap mosaic identified one

    potentially pure pixel that coincided with a known occurrence of leafy spurge (Plot

    54; Figure 14). This pixel was identified as a classification endmember and Plot 54

    was subsequently treated as a training area and removed from the pool of Medicine

    Lodge validation samples. The endmember identified for the MTMF classification of

    the Medicine Lodge true HyMap mosaic was also used for the MTMF classification

    of the corresponding spectrally degraded image. For the spatially degraded HyMap

    image pixel purity indexing failed to identify any potentially pure pixels that

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    Figure 14. Ground reference samples in the general Medicine Lodge training area. Classification endmembers were derivedfrom pixels in the vicinity of Plots 54 and 65.

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    identified Medicine Lodge endmember (presented in Figure 14) was selected for

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    MTMF classification of thespatially degraded image. Two potential endmembers

    were identified for the spatially and spectrally resampled Medicine Lodge HyMap

    mosaic: a user derived endmember in the vicinity of Plot 54, and a PPI derived

    endmember in the vicinity of Plot 65 (Figure 14). In situations where more than one

    potentially pure pixel was identified, the final endmember was selected on the basis

    of optimal performance. Figure 15 depicts spectral profiles for pixels that were

    selected as final MTMF classification endmembers.

    A series of classification methods were applied to the entire true Landsat TM5

    image, including MTMF, SAM, maximum likelihood, and minimum distance. These

    classification methods were applied to all six bands, both untransformed and MNF

    transformed. The MTMF classification method was applied to the Medicine Lodge

    area of the Landsat image using an endmember pixel from the Medicine Lodge

    training area and the MTMF classification method was also applied to the Spencer

    area of the Landsat image using an endmember pixel from the Spencer training area.

    A total of five image-derived endmembers from the Medicine Lodge and Spencer

    training areas were used in the SAM classification. MNF band variance and

    endmember spectral profiles are presented in Appendix D.

    3.3.7 Accuracy Assessment

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    and Green, 1999; Congalton, 2004; Foody, 2004). The error matrices were also used

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    to compute a kappa coefficient of agreement for each classification. The kappa

    statistic is a measure of how well the classified map agrees with the validation

    samples compared to chance agreement. An incremental cover technique was applied

    to each classified Medicine Lodge image to quantify the minimum percent cover of

    leafy spurge necessary to detect leafy spurge under various resolution scenarios using

    the Producers accuracy (Mundt et al., 2006). This method assumes that pixels

    containing high percent target cover are more likely to classify correctly than pixels

    containing low percent target cover. The Producers accuracy is calculated by

    dividing the number of samples classified as leafy spurge by the total number of

    presence (field) samples. Consequently, the Producers accuracy for the presence

    category should increase as infestations with lower percent cover are successively

    removed. Changes in Producers accuracy are evaluated in cumulative 10%

    increments. An acceptable Producers accuracy for this project was determined by

    land managers to be 70% given the risk associated with committing an error of

    omission.

    3.4 Results

    The true HyMap Medicine Lodge classification had an overall accuracy of

    85% and a high kappa value (0.70) indicating that agreement in the error matrix was

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    User's Accuracy (Present) 100% 89% 90% 72% 96%

    User's Accuracy (Absent) 60% 35% 40% 22% 30%

    Produer's Accuracy (Present) 80% 59% 64% 31% 30%

    Produer's Accuracy (Absent) 100% 75% 77% 62% 96%

    Overall Accuracy 85% 62% 67% 38% 46%

    Kappa 0.70 0.36 0.43 0.16 0.33

    Entire Landsat TM5

    image using SAM and

    MNF transformed

    input bands

    Spencer area

    Landsat TM5Classification

    Med. Lodge

    HyMap

    Med. Lodge area

    Landsat TM5

    Spencer

    HyMap

    Table 2. Comparison of HyMap and Landsat classification performances for the Medicine Lodge and Spencer study sites.

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    outperformed MTMF classifications of the Spencer HyMap and Landsat TM5

    imagery (Table 2) The MTMF classification of the Landsat image tuned to the

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    imagery (Table 2).The MTMF classification of the Landsat image tuned to the

    Medicine Lodge area produced a high overall accuracy (62%) but was accompanied

    by a low kappa value (0.36). For classifications of the entire Landsat scene (i.e.,

    minimum distance, maximum likelihood, and SAM using both untransformed and

    MNF transformed bands as input), the only classification method realistic enough to

    quantify with an accuracy assessment was the SAM classification using MNF

    transformed bands. This classification method produced a low overall accuracy of

    47% and a low kappa value (0.33) indicated poor agreement. The high Users

    accuracy for the present category (96%) and the high Producers accuracy for the

    absent category (96%) are artifacts of the relatively low number of absence validation

    samples.

    The Medicine Lodge simulated Landsat TM5 classification outperformed the

    true Landsat TM5 classification of the Medicine Lodge area (Table 3). The simulated

    classification produced acceptable results for detecting leafy spurge infestations with

    cover greater than approximately 40%, while the true classification failed to produce

    acceptable results for detecting leafy spurge infestations with cover up to

    approximately 80%. Incremental cover evaluations of the Medicine Lodge spectrally

    resampled HyMap mosaic produced Producers accuracies and overall accuracies that

    were higher than the true HyMap classification The simulated Landsat (spectral and

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    Medicine Lodge - MTMF ClassificationsSample Size 53 51 49 44 41 37 34 29 24 15

    Leafy Spurge Cover Classes 0-100% 10-100% 20-100% 30-100% 40-100% 50-100% 60-100% 70-100% 80-100% 90-100%

    HyMap (121 Bands, 3.2m pixels)

    Producer's Accuracy 80% 85% 89% 88% 93% 96% 100% 100% 100% 100%

    Overall Accuracy 85% 88%