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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">REMSE</journal-id>
<journal-title>Remote Sensing</journal-title>
<issn pub-type="epub">2072-4292</issn>
<publisher>
<publisher-name>Molecular Diversity Preservation International (MDPI)</publisher-name></publisher></journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3390/rs4082277</article-id>
<article-id pub-id-type="publisher-id">remotesensing-04-02277</article-id>
<article-categories>
<subj-group>
<subject>Article</subject></subj-group></article-categories>
<title-group>
<article-title>Advanced Spaceborne Thermal Emission and Reflection Radometer (ASTER) Enhanced Vegetation Index (EVI) Products from Global Earth Observation (GEO) Grid: An Assessment Using Moderate Resolution Imaging Spectroradiometer (MODIS) for Synergistic Applications</article-title></title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Yamamoto</surname><given-names>Hirokazu</given-names></name><xref ref-type="aff" rid="af1-remotesensing-04-02277"><sup>1</sup></xref><xref ref-type="corresp" rid="c1-remotesensing-04-02277"><sup>*</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Miura</surname><given-names>Tomoaki</given-names></name><xref ref-type="aff" rid="af2-remotesensing-04-02277"><sup>2</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Tsuchida</surname><given-names>Satoshi</given-names></name><xref ref-type="aff" rid="af1-remotesensing-04-02277"><sup>1</sup></xref></contrib></contrib-group>
<aff id="af1-remotesensing-04-02277">
<label>1</label>Geological Survey of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1-C7, Higashi, Tsukuba 305-8567, Japan; E-Mail: <email>s.tsuchida@aist.go.jp</email></aff>
<aff id="af2-remotesensing-04-02277">
<label>2</label>Department of Natural Resources and Environmental Management, University of Hawaii at Manoa,1910 East-West Road, Sherman 101, Honolulu, HI 96822, USA; E-Mail: <email>tomoakim@hawaii.edu</email></aff>
<author-notes>
<corresp id="c1-remotesensing-04-02277">
<label>*</label>Author to whom correspondence should be addressed; E-Mail: <email>hirokazu.yamamoto@aist.go.jp</email>; Tel.: +81-29-861-3423.</corresp></author-notes>
<pub-date pub-type="collection">
<year>2012</year></pub-date>
<pub-date pub-type="epub">
<day>03</day>
<month>08</month>
<year>2012</year></pub-date>
<volume>4</volume>
<issue>8</issue>
<fpage>2277</fpage>
<lpage>2293</lpage>
<history>
<date date-type="received">
<day>10</day>
<month>06</month>
<year>2012</year></date>
<date date-type="rev-recd">
<day>21</day>
<month>06</month>
<year>2012</year></date>
<date date-type="accepted">
<day>23</day>
<month>07</month>
<year>2012</year></date></history>
<copyright-statement>© 2012 by the authors; licensee MDPI, Basel, Switzerland.</copyright-statement>
<copyright-year>2012</copyright-year>
<license>
<p>This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (<ext-link xlink:href="http://creativecommons.org/licenses/by/3.0/" ext-link-type="uri">http://creativecommons.org/licenses/by/3.0/</ext-link>).</p></license>
<abstract>
<p>We assessed the compatibility of three Advanced Spaceborne Thermal Emission and Reflection Radometer (ASTER) based Enhanced Vegetation Index (EVI) products generated in the GEO Grid system to Moderate Resolution Imaging Spectroradiometer (MODIS) EVI. The three products were two forms of the two-band EVI with ASTER red and NIR bands but without a blue band and the original, three-band EVI computed with ASTER red and NIR, and MODIS blue reflectances. Our assessment results showed good compatibilities of all the three ASTER EVI products with MODIS EVI, suggesting potential for synergistic applications of multi-resolution EVI.</p></abstract>
<kwd-group>
<kwd>ASTER</kwd>
<kwd>Enhanced Vegetation Index</kwd>
<kwd>2-band Enhanced Vegetation Index</kwd>
<kwd>GEO Grid</kwd>
<kwd>multi-resolution remote sensing</kwd>
<kwd>MODIS</kwd></kwd-group></article-meta></front>
<body>
<sec sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Satellite remote sensing is considered to be one critical component in developing and improving our understanding of the Earth’s system. Numerous studies have shown the utility of satellite remote sensing in ecosystem dynamics studies in relation to climate change, including monitoring of ecosystem disturbances, biodiversity assessments, and carbon cycle modeling (e.g., [<xref ref-type="bibr" rid="b1-remotesensing-04-02277">1</xref>–<xref ref-type="bibr" rid="b3-remotesensing-04-02277">3</xref>]). In these studies, satellite remote sensing was often used in combination with a network of point-based ground measurements for their regional and temporal extrapolations.</p>
<p>Since 2005, the Global Earth Observation Grid (GEO Grid) project has been developing and providing a grid technology-based e-Science infrastructure to facilitate conducting Earth system studies [<xref ref-type="bibr" rid="b4-remotesensing-04-02277">4</xref>]. GEO Grid is being equipped with a large amount of both ground observational and satellite remote sensing data, and new advanced algorithms are being added for effective processing, integration, and assimilation of these data to generate higher-level products for the Earth system science.</p>
<p>Recently, a GEO Grid subsystem for the radiometric calibration and atmospheric correction of Advanced Spaceborne Thermal Emission and Reflection Radometer (ASTER) and Moderate Resolution Imaging Spectroradiometer (MODIS) was developed [<xref ref-type="bibr" rid="b5-remotesensing-04-02277">5</xref>]. Launched in December 1999, both ASTER and MODIS are research facility instruments onboard the National Aeronautics and Space Administration (NASA) Earth Observing System (EOS) Terra satellite platform [<xref ref-type="bibr" rid="b6-remotesensing-04-02277">6</xref>,<xref ref-type="bibr" rid="b7-remotesensing-04-02277">7</xref>]. Whereas MODIS is designed to provide long-term global observations every 1–2 days at moderate resolution (250 m–1 km), ASTER works as the “zoom lens” and provides the highest spatial resolution (15 m–60 m) surface spectral reflectance, temperature, and emissivity data of all the Terra instruments. Synergistic application of ASTER and MODIS is useful for effectively integrating ground-based measurements to regional to global scale MODIS measurements by using ASTER data as a medium for scaling up the ground measurements. Since the development of the subsystem, there have been more than 27,000 downloads of ASTER and/or MODIS products generated by the subsystem.</p>
<p>The Normalized Difference Vegetation Index (NDVI) has been the most popular index for detecting vegetation abundance from satellite images. This index uses red and NIR reflectances, and NOAA AVHRR NDVI products have widely been used to understand long-term global vegetation changes. However, it is known that the NDVI has the demerits of being impacted by atmospheric and soil background brightness variations [<xref ref-type="bibr" rid="b8-remotesensing-04-02277">8</xref>]. The NDVI also has the disadvantage of saturation in high biomass area [<xref ref-type="bibr" rid="b8-remotesensing-04-02277">8</xref>]. The Enhanced Vegetation Index (EVI) was developed to optimize the vegetation signal with improved sensitivity in high biomass regions and improved vegetation monitoring through a de-coupling of the canopy background signal and a reduction in aerosol influences [<xref ref-type="bibr" rid="b8-remotesensing-04-02277">8</xref>]:
<disp-formula id="FD1">
<label>(1)</label>
<mml:math id="mm1" display="block">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi></mml:mrow>
<mml:mn>1</mml:mn></mml:msub>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi></mml:mrow>
<mml:mn>2</mml:mn></mml:msub>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">blue</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>L</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>where <italic>ρ<sub>NIR</sub></italic>, <italic>ρ<sub>red</sub></italic>, and <italic>ρ<sub>blue</sub></italic> are the atmospherically corrected reflectances (totally or partially for molecular scattering, and water vapor and ozone absorptions) for the NIR, red, and blue spectral bands, <italic>L</italic> is the canopy background adjustment factor that addresses nonlinear, differential NIR and red radiant transfer through a canopy, and <italic>C</italic><sub>1</sub> and <italic>C</italic><sub>2</sub> are the coefficients of the aerosol resistance term, which uses the blue band to correct for aerosol influences in the red band. In the MODIS EVI algorithm, the coefficients of <italic>L</italic> = 1, <italic>C</italic><sub>1</sub> = 6, <italic>C</italic><sub>2</sub> = 7.5, and <italic>G</italic> = 2.5 are adopted [<xref ref-type="bibr" rid="b8-remotesensing-04-02277">8</xref>,<xref ref-type="bibr" rid="b9-remotesensing-04-02277">9</xref>]. Recent studies confirm superiority of relationships between EVI and biophysical parameters, which include leaf area index (LAI), the fraction of absorbed photosynthetically-active radiation (fAPAR)) [<xref ref-type="bibr" rid="b8-remotesensing-04-02277">8</xref>,<xref ref-type="bibr" rid="b10-remotesensing-04-02277">10</xref>,<xref ref-type="bibr" rid="b11-remotesensing-04-02277">11</xref>], and gross primary production (GPP) [<xref ref-type="bibr" rid="b12-remotesensing-04-02277">12</xref>–<xref ref-type="bibr" rid="b14-remotesensing-04-02277">14</xref>]. If a 15-m resolution EVI product from ASTER red and NIR reflectances can be derived and made available, it should be very useful to scale up ground-based data to moderate resolution satellite data such as MODIS. Indeed, one frequent request from the GEO Grid system users is the provision of an ASTER EVI product that can be used in conjunction with the EVI from MODIS. The EVI is one of the two vegetation indices contained in the MODIS standard vegetation index products (MOD13 and MYD13 series) [<xref ref-type="bibr" rid="b8-remotesensing-04-02277">8</xref>].</p>
<p>There are, however, issues with producing the EVI from ASTER data. The ASTER sensor does not have a blue band and, hence, the EVI equation (<xref ref-type="disp-formula" rid="FD1">Equation (1)</xref>) is not simply applicable to ASTER data. Recently, two-band EVIs without a blue band have been proposed, of which compatibility to the original three-band EVI have been demonstrated for the MODIS sensor [<xref ref-type="bibr" rid="b15-remotesensing-04-02277">15</xref>,<xref ref-type="bibr" rid="b16-remotesensing-04-02277">16</xref>]. These two-band EVIs without a blue band could be computed from ASTER data. However, the ASTER sensor characteristics differ from those of MODIS. In particular, differences in sensor spectral bandpasses between ASTER and MODIS red and near-infrared (NIR) bands can lead to systematic differences in their reflectance values (<xref ref-type="fig" rid="f1-remotesensing-04-02277">Figure 1</xref>) (e.g., [<xref ref-type="bibr" rid="b17-remotesensing-04-02277">17</xref>–<xref ref-type="bibr" rid="b19-remotesensing-04-02277">19</xref>]). Thus, even when a two-band EVI is computed from ASTER data, the compatibility of ASTER EVI to MODIS EVI needs to be examined and evaluated for their synergistic applications.</p>
<p>In this study, we developed a new module, <italic>i.e.</italic>, vegetation index module, to the GEO Grid subsystem (called the ASTER Grid system), which generates ASTER EVIs. We incorporated the two forms of two-band EVI found in [<xref ref-type="bibr" rid="b15-remotesensing-04-02277">15</xref>,<xref ref-type="bibr" rid="b16-remotesensing-04-02277">16</xref>] into the module. Likewise, we also developed an algorithm to compute the original three-band EVI using ASTER red and NIR bands and MODIS blue band. Thus, the performance and compatibility of these three ASTER EVI products from the GEO Grid with MODIS EVI were assessed. In the reminder of this paper, we first describe the developed algorithm to generate the GEO Grid ASTER EVI products in Section 2. In Section 3, we describe the methodology used to assess the ASTER EVI products, followed by results (Section 4). Conclusions and discussions of this study are presented in Section 5.</p></sec>
<sec>
<label>2.</label>
<title>GEO Grid ASTER EVI Products</title>
<p>The developed GEO Grid ASTER EVI product generation algorithm consists of three modules: The radiometric calibration, atmospheric correction, and vegetation index modules. We describe the first two modules in Section 2.1, and then the vegetation index module, including the equations and theoretical backgrounds of the EVI, in Section 2.2.</p>
<p>In the GEO Grid system, this algorithm has been incorporated into the ASTER Grid system and can be executed via the ASTER Grid portal, a web-based interface for searching and ordering ASTER products on the GEO Grid system. Details of the ASTER Grid system and portal can be found in [<xref ref-type="bibr" rid="b4-remotesensing-04-02277">4</xref>].</p>
<sec>
<label>2.1.</label>
<title>Radiometric Calibration and Atmospheric Correction Modules</title>
<p>The ASTER Grid system stores all of Level 0 (L0) ASTER scenes acquired since its launch in December 1999 on its cluster system which is mounted as a single storage volume by Gfarm [<xref ref-type="bibr" rid="b4-remotesensing-04-02277">4</xref>]. Newly acquired ASTER scenes are automatically pushed to the ASTER Grid system from the National Aeronautics and Space Administration (NASA) Earth Observation System Data and Operations System (EDOS) [<xref ref-type="bibr" rid="b4-remotesensing-04-02277">4</xref>]. One of the characteristics of this system is that researchers contracted with the GEO Grid committee can implement their own algorithms into this system.</p>
<p>Upon a user’s request, selected L0 ASTER scenes are radiometrically and geometrically rectified into Level 3A (L3A) orthorectified radiance scenes. The radiometric calibration module is built into this processing, which converts rectified digital numbers (DN) to top-of-the-atmosphere (TOA) reflectances [<xref ref-type="bibr" rid="b21-remotesensing-04-02277">21</xref>–<xref ref-type="bibr" rid="b23-remotesensing-04-02277">23</xref>].
<disp-formula id="FD2">
<label>(2)</label>
<mml:math id="mm2" display="block">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">TOA</mml:mi></mml:mrow></mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>π</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>N</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mo>*</mml:mo></mml:msubsup>
<mml:mo>−</mml:mo>
<mml:mn>1</mml:mn></mml:mrow>
<mml:mo>)</mml:mo></mml:mrow>
<mml:mo>×</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi></mml:mrow>
<mml:mi>b</mml:mi></mml:msub></mml:mrow>
<mml:mo stretchy="false">]</mml:mo></mml:mrow></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow></mml:msub>
<mml:mtext>cos</mml:mtext>
<mml:mi>θ</mml:mi>
<mml:mo>/</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>d</mml:mi></mml:mrow>
<mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>and
<disp-formula id="FD3">
<label>(3)</label>
<mml:math id="mm3" display="block">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>−</mml:mo>
<mml:mn>0.1672</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mtext>cos</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mn>0.9856</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">DOY</mml:mi>
<mml:mo>−</mml:mo>
<mml:mn>4</mml:mn></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mfrac>
<mml:mi>π</mml:mi>
<mml:mrow>
<mml:mn>180</mml:mn></mml:mrow></mml:mfrac></mml:mrow>
<mml:mo stretchy="false">]</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>where
<def-list>
<def-item>
<term>
<inline-formula>
<mml:math id="mm4" display="inline">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">TOA</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></term>
<def>
<p>TOA reflectance for ASTER band <italic>b</italic>;</p></def></def-item>
<def-item>
<term>
<inline-formula>
<mml:math id="mm5" display="inline">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>N</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mo>*</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></term>
<def>
<p>rectified DN for ASTER band <italic>b</italic>;</p></def></def-item>
<def-item>
<term><italic>C<sub>b</sub></italic></term>
<def>
<p>unit conversion coefficient (UCC) for ASTER band <italic>b</italic> [W·m<sup>−2</sup>·sr<sup>−1</sup>·μm<sup>−1</sup>·DN<sup>−1</sup>];</p></def></def-item>
<def-item>
<term><italic>F</italic><sub>0,<italic>b</italic></sub></term>
<def>
<p>exoatmospheric solar irradiance for ASTER band <italic>b</italic> [W·m<sup>−2</sup>·μm<sup>−1</sup>];</p></def></def-item>
<def-item>
<term><italic>θ<sub>s</sub></italic></term>
<def>
<p>solar zenith angle for the ASTER scene being processed;</p></def></def-item>
<def-item>
<term><italic>d</italic></term>
<def>
<p>Earth-Sun distance in astronomical unit;</p></def></def-item>
<def-item>
<term><italic>DOY</italic></term>
<def>
<p>day of year for the ASTER scene being processed.</p></def></def-item></def-list></p>
<p>The square bracket in the numerator of <xref ref-type="disp-formula" rid="FD2">Equation (2)</xref> converts 
<inline-formula>
<mml:math id="mm6" display="inline">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>N</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>B</mml:mi></mml:mrow>
<mml:mo>*</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to the at-sensor radiance [<xref ref-type="bibr" rid="b20-remotesensing-04-02277">20</xref>]. Changes in the radiometric response of the sensor since launch as well as detector-to-detector relative response differences are taken into account when deriving 
<inline-formula>
<mml:math id="mm7" display="inline">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>N</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mo>*</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and, thus, <italic>C<sub>b</sub></italic>’s are held constant over time [<xref ref-type="bibr" rid="b19-remotesensing-04-02277">19</xref>]. The ASTER Grid system uses the onboard calibration for the radiometric rectification by default, but other calibration methods developed by ASTER vicarious calibration groups [<xref ref-type="bibr" rid="b24-remotesensing-04-02277">24</xref>,<xref ref-type="bibr" rid="b25-remotesensing-04-02277">25</xref>] have also been incorporated into the system, which are selectable upon ordering via the ASTER Grid portal. In this study, the onboard calibration was used to rectify ASTER data. The solar model (<italic>F</italic><sub>0,<italic>b</italic></sub> in <xref ref-type="disp-formula" rid="FD2">Equation (2)</xref>) adopted in this radiometric calibration module is based on the World Radiation Center (WRC) model [<xref ref-type="bibr" rid="b26-remotesensing-04-02277">26</xref>].</p>
<p>When the user requests atmospheric correction via the ASTER Grid portal, the atmospheric correction module is activated and processes the orthorectified, radiometerically calibrated L3A ASTER scenes. Currently, the atmospheric correction module can correct for the effects of molecular scattering, and ozone and water vapor absorptions. With the subscript <italic>b</italic> omitted for simplicity, the following equation is used for this partial correction [<xref ref-type="bibr" rid="b27-remotesensing-04-02277">27</xref>,<xref ref-type="bibr" rid="b28-remotesensing-04-02277">28</xref>]:
<disp-formula id="FD4">
<label>(4)</label>
<mml:math id="mm8" display="block">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ac</mml:mi></mml:mrow></mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mo>*</mml:mo></mml:msup></mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi></mml:mrow>
<mml:mi>R</mml:mi></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>τ</mml:mi></mml:mrow>
<mml:mi>R</mml:mi></mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>Z</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>⋅</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mo>*</mml:mo></mml:msup></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>and
<disp-formula id="FD5">
<label>(5)</label>
<mml:math id="mm9" display="block">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mo>*</mml:mo></mml:msup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">TOA</mml:mi></mml:mrow></mml:msubsup></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi></mml:mrow>
<mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>s</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>v</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi></mml:mrow>
<mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac>
<mml:mo>−</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>A</mml:mi></mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>s</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>v</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ϕ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>−</mml:mo>
<mml:mi>v</mml:mi></mml:mrow></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>τ</mml:mi></mml:mrow>
<mml:mi>R</mml:mi></mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>Z</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>↓</mml:mo></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>s</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>τ</mml:mi></mml:mrow>
<mml:mi>R</mml:mi></mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>Z</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>↑</mml:mo></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>v</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>τ</mml:mi></mml:mrow>
<mml:mi>R</mml:mi></mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>Z</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>H</mml:mi></mml:mrow>
<mml:mn>2</mml:mn></mml:msub>
<mml:mi>O</mml:mi></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>s</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>θ</mml:mi></mml:mrow>
<mml:mi>v</mml:mi></mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>H</mml:mi></mml:mrow>
<mml:mn>2</mml:mn></mml:msub>
<mml:mi>O</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>where
<def-list>
<def-item>
<term>
<inline-formula>
<mml:math id="mm10" display="inline">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ac</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></term>
<def>
<p>atmospherically-corrected reflectance;</p></def></def-item>
<def-item>
<term><italic>T</italic><sub><italic>gO</italic><sub>3</sub></sub>, <italic>T</italic><sub><italic>gH</italic><sub>2</sub><italic>O</italic></sub></term>
<def>
<p>gaseous transmittances for ozone and water vapor, respectively;</p></def></def-item>
<def-item>
<term><italic>U</italic><sub><italic>O</italic><sub>3</sub></sub>, <italic>U</italic><sub><italic>H</italic><sub>2</sub><italic>O</italic></sub></term>
<def>
<p>total amounts for ozone [cm-atm] and water vapor [g·cm<sup>−2</sup>];</p></def></def-item>
<def-item>
<term>
<inline-formula>
<mml:math id="mm11" display="inline">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>A</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></term>
<def>
<p>intrinsic reflectance (normalized path radiance) for molecular atmosphere;</p></def></def-item>
<def-item>
<term><italic>T</italic><sub><italic>R</italic>↓</sub>, <italic>T</italic><sub><italic>R</italic>↑</sub></term>
<def>
<p>downward and upward transmittances for molecular atmosphere, respectively;</p></def></def-item>
<def-item>
<term><italic>S<sub>R</sub></italic></term>
<def>
<p>spherical albedo for molecular atmosphere;</p></def></def-item>
<def-item>
<term><italic>τ<sub>R</sub></italic></term>
<def>
<p>molecular atmosphere optical depth;</p></def></def-item>
<def-item>
<term><italic>z</italic></term>
<def>
<p>ground elevation above sea level for the ASTER scene;</p></def></def-item>
<def-item>
<term><italic>θ<sub>s</sub></italic></term>
<def>
<p>solar zenith angle at the ASTER scene acquisition time;</p></def></def-item>
<def-item>
<term><italic>θ<sub>v</sub></italic></term>
<def>
<p>view zenith angle for the ASTER scene;</p></def></def-item>
<def-item>
<term><italic>ϕ<sub>s−v</sub></italic></term>
<def>
<p>relative azimuth angle or the difference between the solar and view azimuth angles.</p></def></def-item></def-list></p>
<p>The ASTER Grid atmospheric correction module requires three inputs, from which to compute the atmospheric parameters in <xref ref-type="disp-formula" rid="FD4">Equations (4)</xref> and <xref ref-type="disp-formula" rid="FD5">(5)</xref> to obtain 
<inline-formula>
<mml:math id="mm12" display="inline">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ac</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>: (1) ozone concentration, (2) column water vapor, and (3) ground elevation for the adjustment of surface pressure. The module completely relies on outside sources for the two required atmospheric information since the ASTER sensor was not designed to retrieve atmospheric information [<xref ref-type="bibr" rid="b29-remotesensing-04-02277">29</xref>]. The module obtains ozone concentration information from global daily gridded total ozone data products derived by the TOMS-V8 total ozone algorithm from either Earth Probe Total Ozone Mapping Spectrometer (EP TOMS) or Ozone Monitoring Instrument (OMI) onboard the Aura platform [<xref ref-type="bibr" rid="b30-remotesensing-04-02277">30</xref>], depending on the acquisition dates of ASTER scenes to be processed. Column water vapor contents are acquired from the MODIS daily atmosphere product (MOD08_D3) [<xref ref-type="bibr" rid="b31-remotesensing-04-02277">31</xref>]. These EPTOMS, OMI, and MODIS global daily gridded products are stored on-line on the GEO Grid system and, thus, ozone and water vapor information can be obtained near instantaneously upon the execution of the atmospheric correction module. As for ASTER data, newly generated OMI and MODIS global daily atmospheric products are automatically pushed to the GEO Grid system from NASA Goddard Space Flight Center. Ground elevation information are, in contrast, obtained internally from the ASTER Digital Elevation Model (DEM) product, which is included in “ASTER Data BETA” data generated by the GEO Grid system [<xref ref-type="bibr" rid="b4-remotesensing-04-02277">4</xref>].</p></sec>
<sec>
<label>2.2.</label>
<title>Vegetation Index Module</title>
<p>The main issue in computing the EVI from ASTER is the fact that the ASTER sensor does not have a blue band, that is, <xref ref-type="disp-formula" rid="FD1">Equation (1)</xref> is not directly applicable to ASTER spectral data. Therefore, three EVI algorithms have been programmed into the ASTER Grid EVI module, which are the MODIS Backup EVI [<xref ref-type="bibr" rid="b15-remotesensing-04-02277">15</xref>], the two-band EVI without a blue band (EVI2) [<xref ref-type="bibr" rid="b16-remotesensing-04-02277">16</xref>], and a coupled ASTER-MODIS EVI.</p>
<sec>
<label>2.2.1.</label>
<title>MODIS Backup EVI (<italic>EVI</italic><sub>B</sub>)</title>
<p>The MODIS VI products appear to be significantly affected by the presence of snow such that EVI values increase largely while NDVI values are reduced [<xref ref-type="bibr" rid="b8-remotesensing-04-02277">8</xref>]. When this is detected, the MODIS VI algorithm switches to a backup EVI equation that is a Soil-Adjusted Vegetation Index (SAVI)-like equation, but its coefficients adjusted for this backup index to have nearly the same dynamic range as the EVI [<xref ref-type="bibr" rid="b15-remotesensing-04-02277">15</xref>]. Since this backup EVI only requires red and NIR reflectances as the inputs, it can directly be computed with ASTER spectral bands. The equation takes the form [<xref ref-type="bibr" rid="b15-remotesensing-04-02277">15</xref>]:
<disp-formula id="FD6">
<label>(6)</label>
<mml:math id="mm13" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mi>B</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p></sec>
<sec>
<label>2.2.2.</label>
<title>EVI2—Two-Band EVI (<italic>EVI</italic><sub>P</sub>)</title>
<p>Recently, another two-band EVI, or EVI2, was proposed, which had been optimized to produce equivalent index values with the original three-band EVI for good observations, <italic>i.e.</italic>, good quality pixels that contain no cloud or snow and are atmospherically-corrected over low aerosol quantity [<xref ref-type="bibr" rid="b16-remotesensing-04-02277">16</xref>]. This EVI2 can also be computed with the ASTER red and NIR bands:
<disp-formula id="FD7">
<label>(7)</label>
<mml:math id="mm14" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mi>P</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>2.4</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p></sec>
<sec>
<label>2.2.3.</label>
<title>Combined ASTER-MODIS EVI (<italic>EVI<sub>C</sub></italic>)</title>
<p>As described previously, the ASTER and MODIS sensors are onboard the same Terra platform. Therefore, there are always MODIS data that were obtained simultaneously with ASTER image acquisitions. Although their spatial resolutions are considerably different, the MODIS blue band could be used with the ASTER red and NIR bands to compute the EVI:
<disp-formula id="FD8">
<label>(8)</label>
<mml:math id="mm15" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mi>C</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>6</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:mn>7.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">bule</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p></sec></sec></sec>
<sec sec-type="materials|methods">
<label>3.</label>
<title>Materials and Methods</title>
<p>The performance and compatibility of the GEO Grid ASTER EVI products with MODIS EVI were assessed over a subset of the FLUXNET validation sites (<ext-link xlink:href="http://www.fluxnet.ornl.gov/" ext-link-type="uri">http://www.fluxnet.ornl.gov/</ext-link>) that covered a wide range of land cover conditions (<xref ref-type="table" rid="t1-remotesensing-04-02277">Table 1</xref>, <xref ref-type="fig" rid="f2-remotesensing-04-02277">Figure 2</xref>). ASTER EVI products were generated for these sites and their surrounding areas for the summer of 2007 or 2008 using the ASTER Grid system described in Section 2. MODIS L1B calibrated TOA reflectance data (MOD02HKM) acquired over these areas simultaneously with ASTER were retrieved from the GEO Grid system and processed into atmospherically corrected EVI images using the same ASTER Grid algorithm, but adjusted for MODIS spectral bands.</p>
<p>All the ASTER and MODIS scenes were reprojected onto the same geographic projection with the nearest neighbor method. Six 3 km-by-3 km extraction widows were manually located on each of these reprojected ASTER-MODIS scene pairs. The 2007 International Geosphere-Biosphere Programme (IGBP) land cover information from the MODIS Land Cover product (MCD12Q1, Collection 5) were used to assure each of the extraction windows was of uniform land cover, whereas the reprojected ASTER images were used to ensure that each extraction window area was cloud- and cloud shadow-free (<xref ref-type="fig" rid="f3-remotesensing-04-02277">Figure 3</xref>).</p>
<p>After the extraction, ASTER pixel reflectances were spatially aggregated into MODIS 500 m resolution with a square point spread function (PSF) (without MODIS PSF) and also with MODIS PSF [<xref ref-type="bibr" rid="b32-remotesensing-04-02277">32</xref>]. For the former, we used the following equation;
<disp-formula id="FD9">
<label>(9)</label>
<mml:math id="mm16" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi></mml:mfrac>
<mml:munder>
<mml:mo>∑</mml:mo>
<mml:mi>x</mml:mi></mml:munder>
<mml:mrow>
<mml:munder>
<mml:mo>∑</mml:mo>
<mml:mi>y</mml:mi></mml:munder>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>15</mml:mn>
<mml:mi>m</mml:mi></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:mrow></mml:math></disp-formula>whereas the following was used for the latter:
<disp-formula id="FD10">
<label>(10)</label>
<mml:math id="mm17" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>∑</mml:mo></mml:mrow>
<mml:mi>x</mml:mi></mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>∑</mml:mo></mml:mrow>
<mml:mi>y</mml:mi></mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>15</mml:mn>
<mml:mi>m</mml:mi></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi></mml:mrow>
<mml:mo>)</mml:mo></mml:mrow></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>∑</mml:mo></mml:mrow>
<mml:mi>x</mml:mi></mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>∑</mml:mo></mml:mrow>
<mml:mi>y</mml:mi></mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>where <italic>x</italic> and <italic>y</italic> are the pixel and line numbers, respectively, within the extraction window, <italic>n</italic> is the number of extracted pixels (<italic>n</italic> = <italic>x</italic> × <italic>y</italic>), <italic>ρ</italic><sub><italic>ASTER</italic>,15<italic>m</italic></sub>(<italic>x</italic>, <italic>y</italic>) is the 15 m ASTER reflectance pixel located at (<italic>x</italic>, <italic>y</italic>), and <italic>PSF<sub>MODIS</sub></italic>(<italic>x</italic>, <italic>y</italic>) is the MODIS PSF weight at (<italic>x</italic>, <italic>y</italic>). These aggregated, 500 m ASTER pixels and also the extracted MODIS 500 m pixels were averaged over a 2-by-2 moving window in order to reduce mis-registration errors between these two sensor data. This resulted in 9 ASTER-MODIS 1 km pixel pairs produced from each 3 km-by-3 km extraction window.</p>
<p>The three ASTER EVIs and MODIS EVI were computed from 1 km surface reflectances (<xref ref-type="disp-formula" rid="FD12a">Equation 12(a</xref>,<xref ref-type="disp-formula" rid="FD12d">d)</xref>). We also derived ASTER NDVI and MODSI NDVI (<xref ref-type="disp-formula" rid="FD11a">Equation 11(a</xref>,<xref ref-type="disp-formula" rid="FD11b">b)</xref>) in order to compare their relationship with those between ASTER EVIs and MODIS EVI:
<disp-formula id="FD11a">
<label>(11(a))</label>
<mml:math id="mm18" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD11b">
<label>(11(b))</label>
<mml:math id="mm19" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD12a">
<label>(12(a))</label>
<mml:math id="mm20" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mi>B</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD12b">
<label>(12(b))</label>
<mml:math id="mm21" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mi>P</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>2.4</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD12c">
<label>(12(c))</label>
<mml:math id="mm22" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mi>C</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>6.0</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>ρ</mml:mi>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:mn>7.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">blue</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD12d">
<label>(12(d))</label>
<mml:math id="mm23" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">NIR</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>6.0</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">red</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:mn>7.5</mml:mn>
<mml:mo>⋅</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ρ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">blue</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p>
<p>ASTER <italic>vs</italic>. MODIS EVI and NDVI relationships were analyzed by three means. First, ASTER EVIs were plotted and regressed against MODIS EVI to examine overall trends in their relationships. The simple linear model used in previous studies [<xref ref-type="bibr" rid="b33-remotesensing-04-02277">33</xref>,<xref ref-type="bibr" rid="b34-remotesensing-04-02277">34</xref>] were also found reasonable based on our preliminary analysis of this dataset:
<disp-formula id="FD13a">
<label>(13(a))</label>
<mml:math id="mm24" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>β</mml:mi></mml:mrow>
<mml:mn>0</mml:mn></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>β</mml:mi></mml:mrow>
<mml:mn>1</mml:mn></mml:msub>
<mml:mo>×</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ɛ</mml:mi></mml:mrow>
<mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD13b">
<label>(13(b))</label>
<mml:math id="mm25" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>β</mml:mi></mml:mrow>
<mml:mn>2</mml:mn></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>β</mml:mi></mml:mrow>
<mml:mn>3</mml:mn></mml:msub>
<mml:mo>×</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ɛ</mml:mi></mml:mrow>
<mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>where <italic>ɛ</italic><sub>0</sub> <sub>and</sub> <italic>ɛ</italic><sub>1</sub> are the unexplained error terms and <italic>EVI<sub>ASTER</sub></italic> is either <italic>EVI<sub>B</sub></italic>, <italic>EVI<sub>P</sub></italic>, or <italic>EVI<sub>C</sub></italic>.</p>
<p>Second, differences (<italic>D</italic>) and relative differences (<italic>RD</italic>) of VIs between ASTER and MODIS were computed to analyze land cover dependencies of ASTER <italic>vs</italic>. MODIS relationships:
<disp-formula id="FD14a">
<label>(14(a))</label>
<mml:math id="mm26" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD14b">
<label>(14(b))</label>
<mml:math id="mm27" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">RD</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD15a">
<label>(15(a))</label>
<mml:math id="mm28" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD15b">
<label>(15(b))</label>
<mml:math id="mm29" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">RD</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ASTER</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p>
<p>We also examined the impact of aggregation methods by comparing ASTER VIs computed from aggregated reflectances with MODIS PSF (
<inline-formula>
<mml:math id="mm30" display="inline">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and 
<inline-formula>
<mml:math id="mm31" display="inline">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) to those without MODIS PSF (
<inline-formula>
<mml:math id="mm32" display="inline">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> and 
<inline-formula>
<mml:math id="mm33" display="inline">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>).
<disp-formula id="FD16a">
<label>(16(a))</label>
<mml:math id="mm34" display="block">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>D</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>′</mml:mo></mml:msubsup>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD16b">
<label>(16(b))</label>
<mml:math id="mm35" display="block">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="italic">RD</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>′</mml:mo></mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD17a">
<label>(17(a))</label>
<mml:math id="mm36" display="block">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>D</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>′</mml:mo></mml:msubsup>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD17b">
<label>(17(b))</label>
<mml:math id="mm37" display="block">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="italic">RD</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mo>′</mml:mo></mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">PSF</mml:mi></mml:mrow></mml:msub>
<mml:mo>−</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p>
<p>Finally, overall differences between ASTER and MODIS VIs were assessed with root mean square errors (RMSE):
<disp-formula id="FD18a">
<label>(18(a))</label>
<mml:math id="mm38" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">RMSE</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi></mml:mfrac>
<mml:munderover>
<mml:mo>∑</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn></mml:mrow>
<mml:mi>n</mml:mi></mml:munderover>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi></mml:mrow>
<mml:mo>′</mml:mo></mml:msubsup>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">NDVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mrow>
<mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD18b">
<label>(18(b))</label>
<mml:math id="mm39" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">RMSE</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi></mml:mfrac>
<mml:munderover>
<mml:mo>∑</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn></mml:mrow>
<mml:mi>n</mml:mi></mml:munderover>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi></mml:mrow>
<mml:mo>′</mml:mo></mml:msubsup>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">EVI</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">MODIS</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mrow>
<mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>where <italic>n</italic> is the sample size, and <italic>NDVI′</italic><sub><italic>MODIS</italic>,<italic>i</italic></sub> and <italic>EVI′</italic><sub><italic>MODIS</italic>,<italic>i</italic></sub> are the predicted “MODIS-like” values from ASTER NDVI and EVIs, respectably, using the linear regression equations derived in the first analysis (<xref ref-type="disp-formula" rid="FD13a">Equations 13(a</xref>,<xref ref-type="disp-formula" rid="FD13b">b)</xref>).</p></sec>
<sec sec-type="results|discussion">
<label>4.</label>
<title>Results and Discussion</title>
<p>In <xref ref-type="fig" rid="f4-remotesensing-04-02277">Figure 4</xref>, <italic>NDVI</italic>, <italic>EVI<sub>B</sub></italic>, <italic>EVI<sub>P</sub></italic>, and <italic>EVI<sub>C</sub></italic> derived from ASTER reflectances aggregated without MODIS PSF, and their differences (<italic>D<sub>NDVI</sub></italic> and <italic>D<sub>EVI</sub></italic>) and relative errors (<italic>RD<sub>NDVI</sub></italic> and <italic>RD<sub>EVI</sub></italic>) from the MODIS counterparts are plotted. The NDVI and all the three ASTER EVIs showed a good correlation with MODIS. R<sup>2</sup> values were very high (0.997) for all the three ASTER EVIs. An <italic>R<sup>2</sup></italic> value for ASTER NDVI was slightly lower (0.987) than those for ASTER EVIs. ASTER NDVI and EVIs were consistently lower than MODIS NDVI and EVI, with the slope estimates all being less than one. Considering that the aggregation method did not have any impacts on ASTER VI values as mentioned later, these results would be caused by the difference between ASTER and MODIS relative spectral responses. The intercept of <italic>EVI<sub>B</sub></italic> was close to zero. On the other hand, the intercepts of <italic>NDVI</italic>, <italic>EVI<sub>P</sub></italic>, and <italic>EVI<sub>C</sub></italic> were negative. Among them, the slope for the <italic>NDVI</italic> relationship (0.968) was the closest to one, whereas <sub>it</sub> had a larger intercept than the EVI relationships. The differences and relative errors of the NDVI and three EVIs were, on average, all less than zero (negatively large errors), and showed almost negative value, which means all ASTER NDVI and EVIs were less than MODIS NDVI and EVI (<xref ref-type="fig" rid="f4-remotesensing-04-02277">Figure 4</xref>). Both the differences and relative errors of <italic>EVI<sub>B</sub></italic> on evergreen needle-leaf forest, barren or sparsely vegetated, and urban and built-up land cover area, were very close to zero. On the other hand, the <italic>NDVI</italic> had larger difference and relative error for evergreen needle-leaf forest than for the other land cover types. The relative differences between ASTER and MODIS red reflectance ((<italic>ρ</italic><sub><italic>ASTER</italic>,<italic>red</italic></sub> − <italic>ρ</italic><sub><italic>MODIS,red</italic></sub>)/<italic>ρ<sub>MODIS,red</sub></italic>) were much larger positive values than the others. This indicates that ASTER NDVI over evergreen needle-leaf forest was much lower than the ASTER-MODIS NDVI regression line.</p>
<p><xref ref-type="fig" rid="f5-remotesensing-04-02277">Figure 5</xref> shows scatterplots of <italic>NDVI</italic>, <italic>EVI<sub>B</sub></italic>, <italic>EVI<sub>P</sub></italic>, and <italic>EVI<sub>C</sub></italic> derived from ASTER reflectances aggregated with MODIS PSF (<xref ref-type="disp-formula" rid="FD10">Equation (10)</xref>), and their differences (<italic>D<sub>NDVI</sub></italic>, <italic>D<sub>EVI</sub></italic>) and relative errors (<italic>RD<sub>NDVI</sub></italic>, <italic>RD<sub>EVI</sub></italic>) from the MODIS counterparts. Trends depicted in these scatterplots agreed to those obtained with aggregated ASTER reflectances without MODIS PSF, except for <italic>EVI<sub>C</sub></italic>. All <italic>R<sup>2</sup></italic> values were the same as the above results without MODIS PSF. This indicates that the differences of ASTER and MODIS EVI depend on the differences not of the aggregation methods, but of the spectral bandpasses in this study. However, the slope of <italic>EVI<sub>C</sub></italic> (0.913) with MODIS PSF was slightly closer to <italic>EVI<sub>B</sub></italic> than the slope of <italic>EVI<sub>C</sub></italic> without MODIS PSF (0.932). ASTER NDVI with MODIS PSF was mostly the same as that without MODIS PSF. The differences and relative errors for <italic>EVI<sub>B</sub></italic> were the closest to zero for the land cover types of urban and built-up, barren and sparsely vegetated, and evergreen needle-leaf forest, which were lower than MODIS EVI with or without MODIS PSF. Therefore, <italic>EVI<sub>B</sub></italic> had the best compatibility with MODIS EVI for all the land cover types examined in this study.</p>
<p><xref ref-type="fig" rid="f6-remotesensing-04-02277">Figure 6</xref> are ASTER NDVI and EVIs aggregated without MODIS PSF (<xref ref-type="disp-formula" rid="FD9">Equation (9)</xref>) <italic>vs.</italic> those aggregated with MODIS PSF (<xref ref-type="disp-formula" rid="FD10">Equation10</xref>), and the differences (<italic>D</italic>′<italic><sub>NDVI</sub></italic> and <italic>D</italic>′<italic><sub>EVI</sub></italic>) and relative errors (<italic>RD</italic>′<italic><sub>NDVI</sub></italic> and <italic>RD</italic>′<italic><sub>EVI</sub></italic>) plotted against ASTER NDVI and EVIs without MODIS PSF (<xref ref-type="disp-formula" rid="FD16a">Equations (16a</xref>–<xref ref-type="disp-formula" rid="FD17b">17b)</xref>). The slopes and intercepts of these relationships were nearly one and zero, respectively. NDVI values over croplands, deciduous needle-leaf forest, evergreen broad-leaf forest, and evergreen needle-leaf forest, were higher than EVI values, but NDVI differences and relative errors were almost same as those of EVIs. These results indicated that the aggregation method did not have any impacts on ASTER VI values for the extracted pixels in these selected land cover types.</p>
<p><xref ref-type="table" rid="t2-remotesensing-04-02277">Table 2</xref> compares RMSE values amongst ASTER NDVI and EVIs. In case of those aggregated without MODIS PSF, RMSE for <italic>EVI<sub>B</sub></italic>, <italic>EVI<sub>P</sub></italic>, and <italic>EVI<sub>C</sub></italic> were all the same (0.018). Aggregated ASTER EVIs with MODIS PSF also had the same RMSE values of 0.019. These RMSE values were slightly higher than those for EVIs aggregated with MODIS PSF, but the magnitudes of the differences can be considered negligible. RMSE for NDVI without MODIS PSF (0.046) and with MODIS PSF (0.046) were larger than those for ASTER EVIs with or without MODIS PSF. This was mainly caused by NDVI values over evergreen needle-leaf forest. It could be said that it was difficult to have enough accuracy because reflectances over evergreen needle-leaf forest were lower than reflectances over other land cover types in ASTER NIR, MODIS red and NIR bands (<xref ref-type="table" rid="t3-remotesensing-04-02277">Table 3</xref>).</p></sec>
<sec sec-type="conclusions">
<label>5.</label>
<title>Conclusions</title>
<p>In this paper, the performance of GEO Grid ASTER EVI products was evaluated by comparing their values to those of MODIS EVI over the seven FLUXNET sites covering a wide range of land cover types. ASTER NDVI and three forms of ASTER EVI were evaluated: the MODIS EVI backup algorithm (<italic>EVI<sub>B</sub></italic>), the two-band EVI without a blue band (<italic>EVI<sub>P</sub></italic>), and the three-band EVI with MODIS blue reflectance (<italic>EVI<sub>C</sub></italic>). We also evaluated the impact of aggregation methods on ASTER NDVI and EVI values.</p>
<p>We found that all the three EVIs showed equally good compatibility with MODIS EVI (RMSE between three ASTER EVIs and original MODIS EVI are 0.018 to 0.019 with or without MODIS PSF.). ASTER EVIs (<italic>EVI<sub>B</sub></italic>, <italic>EVI</italic>, <italic>EVI<sub>C</sub></italic>) were systematically smaller than MODIS EVI (approximately less than 0.1 VI units), which was attributed to their sensor band pass differences. There was no great difference among <italic>EVI<sub>B</sub></italic>, <italic>EVI</italic> or <italic>EVI<sub>C</sub></italic> (the maximum difference of 0.025 EVI units), but <italic>EVI<sub>B</sub></italic> had the best performance in this study, especially for land cover types with low MODIS EVI values (Urban and built-up, Barren or sparsely vegetated, Evergreen needle-leaf forest). However, similar investigations should be made over more various land cover types. RMSEs of ASTER EVIs were nearly the same, and quality of ASTER EVIs and MODIS EVI depended on surface reflectance. The results of comparisons between ASTER NDVI and MODIS NDVI were very similar to those between ASTER EVIs and MODIS EVI, and we found larger RMSE for the NDVI than the EVIs. The ASTER NDVI over evergreen needle-leaf forest, which had lower reflectances in VNIR region, had the impact on the results of RMSE. It was felt that ASTER EVIs had better compatibilities to MODIS than NDVI.</p>
<p>We are currently upgrading the atmospheric correction module to include the corrections of tropospheric aerosol effects and topographic effects. We also plan to improve compatibility of ASTER EVIs to MODIS EVI by considering both their spectral and spatial differences and to address the dispersion of pixels for each land cover type. “MODIS-like” ASTER EVIs have the potential to contribute to the estimation of biophysical parameters across different spatial scales.</p></sec></body>
<back>
<ack>
<p>This research used ASTER Data beta processed by the AIST GEO Grid from ASTER Data owned by the Ministry of Economy, Trade and Industry. We are grateful to Koki IWAO (Information technology Research Institute, National Advanced Industrial Science and Technology) for his help in selecting the FLUXNET sites used in this study.</p></ack>
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<sec sec-type="display-objects">
<title>Figures and Tables</title>
<fig id="f1-remotesensing-04-02277" position="float">
<label>Figure 1.</label>
<caption>
<p>Normalized spectral response functions of select Advanced Spaceborne Thermal Emission and Reflection Radometer (ASTER) and Moderate Resolution Imaging Spectroradiometer (MODIS) bands. The sample reflectance spectra of vegetation and soils in the figure are obtained from the ASTER spectral library [<xref ref-type="bibr" rid="b20-remotesensing-04-02277">20</xref>].</p></caption>
<graphic xlink:href="remotesensing-04-02277f1.gif"/></fig>
<fig id="f2-remotesensing-04-02277" position="float">
<label>Figure 2.</label>
<caption>
<p>FLUXNET sites used in ASTER and MODIS Enhanced Vegetation Index (EVI) compatibility analysis mapped on MODIS 2007 International Geosphere-Biosphere Programme (IGBP) land cover data (MCD12Q1, Collection 5). The numbers in this figure correspond to those in <xref ref-type="table" rid="t1-remotesensing-04-02277">Table 1</xref>.</p></caption>
<graphic xlink:href="remotesensing-04-02277f2.gif"/></fig>
<fig id="f3-remotesensing-04-02277" position="float">
<label>Figure 3.</label>
<caption>
<p>Example of MODIS (<bold>a</bold>) and ASTER (<bold>b</bold>) pixel extractions. This area is classified as Deciduous Needle-leaf forest (Yakutsk, Russia) on MODIS 2007 IGBP. Each red box in (b) corresponds to a 3 km-by-3 km extraction area, that is, a 201-by-201 pixel area on ASTER and a 6-by-6 pixel area on MODIS.</p></caption>
<graphic xlink:href="remotesensing-04-02277f3.gif"/></fig>
<fig id="f4-remotesensing-04-02277" position="float">
<label>Figure 4.</label>
<caption>
<p>Scatterplots of MODIS <italic>vs.</italic> ASTER VIs with ASTER reflectances aggregated without MODIS PSF. (<bold>a</bold>) ASTER Normalized Difference Vegetation Index (NDVI) <italic>vs</italic>. MODIS NDVI, (<bold>b</bold>) ASTER <italic>EVI<sub>B</sub></italic> <italic>vs</italic>. MODIS EVI, (<bold>c</bold>) ASTER <italic>EVI<sub>P</sub></italic> <italic>vs</italic>. MODIS EVI, (<bold>d</bold>) ASTER <italic>EVI<sub>C</sub></italic> <italic>vs</italic>. MODIS EVI, (<bold>e</bold>) <italic>D<sub>NDVI</sub></italic> <italic>vs</italic>. MODIS NDVI, (<bold>f</bold>) <italic>D</italic><sub><italic>EVI</italic><sub><italic>B</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>g</bold>) <italic>D</italic><sub><italic>EVI</italic><sub><italic>P</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>h</bold>) <italic>D</italic><sub><italic>EVI</italic><sub><italic>C</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>i</bold>) <italic>RD<sub>NDVI</sub></italic> <italic>vs</italic>. MODIS NDVI, (<bold>j</bold>) <italic>RD</italic><sub><italic>EVI</italic><sub><italic>B</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>k</bold>) <italic>RD</italic><sub><italic>EVI</italic><sub><italic>P</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>l</bold>) <italic>RD</italic><sub><italic>EVI</italic><sub><italic>C</italic></sub></sub> <italic>vs</italic>. MODIS EVI.</p></caption>
<graphic xlink:href="remotesensing-04-02277f4.gif"/></fig>
<fig id="f5-remotesensing-04-02277" position="float">
<label>Figure 5.</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f4-remotesensing-04-02277">Figure 4</xref>, but with ASTER reflectances aggregated with MODIS PSF. (<bold>a</bold>) ASTER NDVI <italic>vs</italic>. MODIS NDVI, (<bold>b</bold>) ASTER <italic>EVI<sub>B</sub></italic> <italic>vs</italic>. MODIS EVI, (<bold>c</bold>) ASTER <italic>EVI<sub>P</sub></italic> <italic>vs</italic>. MODIS EVI, (<bold>d</bold>) ASTER <italic>EVI<sub>C</sub></italic> <italic>vs</italic>. MODIS EVI, (<bold>e</bold>) <italic>D<sub>NDVI</sub></italic> <italic>vs</italic>. MODIS NDVI, (<bold>f</bold>) <italic>D</italic><sub><italic>EVI</italic><sub><italic>B</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>g</bold>) <italic>D</italic><sub><italic>EVI</italic><sub><italic>P</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>h</bold>) <italic>D</italic><sub><italic>EVI</italic><sub><italic>C</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>i</bold>) <italic>RD<sub>NDVI</sub></italic> <italic>vs</italic>. MODIS NDVI, (<bold>j</bold>) <italic>RD</italic><sub><italic>EVI</italic><sub><italic>B</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>k</bold>) <italic>RD</italic><sub><italic>EVI</italic><sub><italic>P</italic></sub></sub> <italic>vs</italic>. MODIS EVI, (<bold>l</bold>) <italic>RD</italic><sub><italic>EVI</italic><sub><italic>C</italic></sub></sub> <italic>vs</italic>. MODIS EVI.</p></caption>
<graphic xlink:href="remotesensing-04-02277f5.gif"/></fig>
<fig id="f6-remotesensing-04-02277" position="float">
<label>Figure 6.</label>
<caption>
<p>Scatterplots of ASTER NDVI and EVI aggregated with <italic>vs</italic>. without MODIS square point spread function (PSF). (<bold>a</bold>) ASTER NDVI by aggregation method <bold>without</bold> MODIS PSF <italic>vs</italic>. aggregation <bold>with</bold> MODIS PSF, (<bold>b</bold>) <italic>EVI<sub>B</sub></italic> <bold>without</bold> MODIS PSF <italic>vs</italic>. aggregation <bold>with</bold> MODIS PSF, (<bold>c</bold>) <italic>EVI<sub>P</sub></italic> <bold>without</bold> MODIS PSF <italic>vs</italic>. aggregation <bold>with</bold> MODIS PSF, (<bold>d</bold>) <italic>EVI<sub>C</sub></italic> <bold>without</bold> MODIS PSF <italic>vs</italic>. aggregation <bold>with</bold> MODIS PSF, (<bold>e</bold>) ASTER NDVI <bold>without</bold> MODIS PSF <italic>vs. D</italic>′<italic><sub>NDVI</sub></italic>, (<bold>f</bold>) ASTER <italic>EVI<sub>B</sub></italic> <bold>without</bold> MODIS PSF <italic>vs. D</italic>′<sub><italic>EVI</italic><sub><italic>B</italic></sub></sub>, (<bold>g</bold>) ASTER <italic>EVI<sub>P</sub></italic> <bold>without</bold> MODIS PSF <italic>vs. D</italic>′<sub><italic>EVI</italic><sub><italic>P</italic></sub></sub>, (<bold>h</bold>) ASTER <italic>EVI<sub>C</sub></italic> <bold>without</bold> MODIS PSF <italic>vs. D</italic>′<sub><italic>EVI</italic><sub><italic>C</italic></sub></sub>, (<bold>i</bold>) ASTER <italic><sub>NDVI</sub></italic> <bold>without</bold> MODIS PSF <italic>vs. RD</italic>′<italic><sub>NDVI</sub></italic>, (<bold>j</bold>) ASTER <italic>EVI<sub>B</sub></italic> <bold>without</bold> MODIS PSF <italic>vs. RD</italic>′<sub><italic>EVI</italic><sub><italic>B</italic></sub></sub>, (<bold>k</bold>) ASTER <italic>EVI<sub>P</sub></italic> <bold>without</bold> MODIS PSF <italic>vs. RD</italic>′<sub><italic>EVI</italic><sub><italic>P</italic></sub></sub>, (<bold>l</bold>) ASTER <italic>EVI<sub>C</sub></italic> <bold>without</bold> MODIS PSF <italic>vs. RD</italic>′<sub><italic>EVI</italic><sub><italic>C</italic></sub></sub>.</p></caption>
<graphic xlink:href="remotesensing-04-02277f6.gif"/></fig>
<table-wrap id="t1-remotesensing-04-02277" position="float">
<label>Table 1.</label>
<caption>
<p>FLUXNET sites used in ASTER and MODIS EVI compatibility analysis.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle"><bold>No.</bold></th>
<th align="left" valign="middle"><bold>Site Name</bold></th>
<th align="left" valign="middle"><bold>Longitude, Latitude [Decimal Degrees]</bold></th>
<th align="left" valign="middle"><bold>Land Cover Type <xref ref-type="table-fn" rid="tfn1-remotesensing-04-02277"><sup>1</sup></xref></bold></th>
<th align="left" valign="middle"><bold>Image Acquisition Date</bold></th></tr></thead>
<tbody>
<tr>
<td align="left" valign="middle">1</td>
<td align="left" valign="middle">Niwot Ridge, CO, USA</td>
<td align="left" valign="middle">N40.033, W105.546</td>
<td align="left" valign="middle">Evergreen Needle-leaf forest</td>
<td align="left" valign="middle">2007.08.08</td></tr>
<tr>
<td align="left" valign="middle">2</td>
<td align="left" valign="middle">Sinop-Mato Grosso, Brazil</td>
<td align="left" valign="middle">S11.412, W55.325</td>
<td align="left" valign="middle">Evergreen Broad-leaf forest</td>
<td align="left" valign="middle">2008.07.26</td></tr>
<tr>
<td align="left" valign="middle">3</td>
<td align="left" valign="middle">Yakutsk, Russia</td>
<td align="left" valign="middle">N62.241, E129.651</td>
<td align="left" valign="middle">Deciduous Needle-leaf forest</td>
<td align="left" valign="middle">2008.06.02</td></tr>
<tr>
<td align="left" valign="middle">4</td>
<td align="left" valign="middle">Silas Little Experimental Forest, NJ, USA</td>
<td align="left" valign="middle">N39.914, W74.596</td>
<td align="left" valign="middle">Deciduous Broad-leaf forest</td>
<td align="left" valign="middle">2007.06.09</td></tr>
<tr>
<td align="left" valign="middle">5</td>
<td align="left" valign="middle">Rosemount, MN, USA</td>
<td align="left" valign="middle">N44.722, W93.089</td>
<td align="left" valign="middle">Croplands</td>
<td align="left" valign="middle">2007.06.20</td></tr>
<tr>
<td align="left" valign="middle">6</td>
<td align="left" valign="middle">South Denver, CO, USA</td>
<td align="left" valign="middle">N39.659, W105.013</td>
<td align="left" valign="middle">Urban and built-up</td>
<td align="left" valign="middle">2007.09.25</td></tr>
<tr>
<td align="left" valign="middle">7</td>
<td align="left" valign="middle">Sonoran Desert, CA, USA</td>
<td align="left" valign="middle">N33.817, W116.373</td>
<td align="left" valign="middle">Barren or sparsely vegetated</td>
<td align="left" valign="middle">2007.09.12</td></tr></tbody></table>
<table-wrap-foot><fn id="tfn1-remotesensing-04-02277">
<label>1</label>
<p>These land cover types were obtained from the 2007 International Geosphere-Biosphere Programme (IGBP) land cover type information from the MODIS standard, 1 km yearly land cover product (MCD12Q1, Collection 5).</p></fn></table-wrap-foot></table-wrap>
<table-wrap id="t2-remotesensing-04-02277" position="float">
<label>Table 2.</label>
<caption>
<p>RMSE of ASTER NDVI/EVIs against MODIS NDVI/EVI.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="middle"/>
<th align="center" valign="middle"><bold><italic>NDVI</italic></bold></th>
<th align="center" valign="middle"><bold><italic>EVI</italic></bold><italic><sub>B</sub></italic></th>
<th align="center" valign="middle"><bold><italic>EVI</italic></bold><italic><sub>P</sub></italic></th>
<th align="center" valign="middle"><bold><italic>EVI</italic></bold><italic><sub>C</sub></italic></th></tr></thead>
<tbody>
<tr>
<td align="center" valign="top">Aggregated without MODIS PSF</td>
<td align="center" valign="top">0.046</td>
<td align="center" valign="top">0.018</td>
<td align="center" valign="top">0.018</td>
<td align="center" valign="top">0.018</td></tr>
<tr>
<td align="center" valign="top">Aggregated with MODIS PSF</td>
<td align="center" valign="top">0.046</td>
<td align="center" valign="top">0.019</td>
<td align="center" valign="top">0.019</td>
<td align="center" valign="top">0.019</td></tr></tbody></table></table-wrap>
<table-wrap id="t3-remotesensing-04-02277" position="float">
<label>Table 3.</label>
<caption>
<p>Average of MODIS and ASTER reflectances with or without MODIS PSF for each band and each land cover type.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="middle"/>
<th align="center" valign="middle"><bold>MODIS Blue</bold></th>
<th align="center" valign="middle"><bold>MODIS Red</bold></th>
<th align="center" valign="middle"><bold>MODIS NIR</bold></th>
<th align="center" valign="middle"><bold>ASTER Red without MODIS PSF</bold></th>
<th align="center" valign="middle"><bold>ASTER Red with MODIS PSF</bold></th>
<th align="center" valign="middle"><bold>ASTER NIR without MODIS PSF</bold></th>
<th align="center" valign="middle"><bold>ASTER NIR with MODIS PSF</bold></th></tr></thead>
<tbody>
<tr>
<td align="center" valign="top">Deciduous Broad-leaf</td>
<td align="center" valign="top">0.022</td>
<td align="center" valign="top">0.027</td>
<td align="center" valign="top">0.467</td>
<td align="center" valign="top">0.037</td>
<td align="center" valign="top">0.037</td>
<td align="center" valign="top">0.452</td>
<td align="center" valign="top">0.449</td></tr>
<tr>
<td align="center" valign="top">Open Shrubland</td>
<td align="center" valign="top">0.075</td>
<td align="center" valign="top">0.155</td>
<td align="center" valign="top">0.209</td>
<td align="center" valign="top">0.180</td>
<td align="center" valign="top">0.177</td>
<td align="center" valign="top">0.226</td>
<td align="center" valign="top">0.222</td></tr>
<tr>
<td align="center" valign="top">Deciduous Needle-leaf</td>
<td align="center" valign="top"><bold>0.032</bold></td>
<td align="center" valign="top"><bold>0.037</bold></td>
<td align="center" valign="top"><bold>0.235</bold></td>
<td align="center" valign="top"><bold>0.050</bold></td>
<td align="center" valign="top"><bold>0.050</bold></td>
<td align="center" valign="top"><bold>0.233</bold></td>
<td align="center" valign="top"><bold>0.231</bold></td></tr>
<tr>
<td align="center" valign="top">Evergreen Needle-leaf</td>
<td align="center" valign="top"><bold>0.006</bold></td>
<td align="center" valign="top"><bold>0.033</bold></td>
<td align="center" valign="top"><bold>0.161</bold></td>
<td align="center" valign="top"><bold>0.061</bold></td>
<td align="center" valign="top"><bold>0.060</bold></td>
<td align="center" valign="top"><bold>0.176</bold></td>
<td align="center" valign="top"><bold>0.175</bold></td></tr>
<tr>
<td align="center" valign="top">Evergreen Broad-leaf</td>
<td align="center" valign="top"><bold>0.016</bold></td>
<td align="center" valign="top"><bold>0.023</bold></td>
<td align="center" valign="top"><bold>0.287</bold></td>
<td align="center" valign="top"><bold>0.034</bold></td>
<td align="center" valign="top"><bold>0.034</bold></td>
<td align="center" valign="top"><bold>0.261</bold></td>
<td align="center" valign="top"><bold>0.260</bold></td></tr></tbody></table></table-wrap></sec></back></article>
