A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering Frame
The canopy reflectance model is the physical basis of remote sensing inversion. In canopy reflectance modeling, the geometric optical (GO) approach is the most commonly used. However, it ignores the description of a multiple-scattering contribution, which causes an underestimation of the reflectance...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/12/21/3600 |
| _version_ | 1797549074918932480 |
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| author | Xu Ma Yong Liu |
| author_facet | Xu Ma Yong Liu |
| author_sort | Xu Ma |
| collection | DOAJ |
| description | The canopy reflectance model is the physical basis of remote sensing inversion. In canopy reflectance modeling, the geometric optical (GO) approach is the most commonly used. However, it ignores the description of a multiple-scattering contribution, which causes an underestimation of the reflectance. Although researchers have tried to add a multiple-scattering contribution to the GO approach for forest modeling, different from forests, row crops have unique geometric characteristics. Therefore, the modeling approach originally applied to forests cannot be directly applied to row crops. In this study, we introduced the adding method and mathematical solution of integral radiative transfer equation into row modeling, and on the basis of improving the overlapping relationship of the gap probabilities involved in the single-scattering contribution, we derived multiple-scattering equations suitable for the GO approach. Based on these modifications, we established a row model that can accurately describe the single-scattering and multiple-scattering contributions in row crops. We validated the row model using computer simulations and in situ measurements and found that it can be used to simulate crop canopy reflectance at different growth stages. Moreover, the row model can be successfully used to simulate the distribution of reflectances (RMSEs < 0.0404). During computer validation, the row model also maintained high accuracy (RMSEs < 0.0062). Our results demonstrate that considering multiple scattering in GO-approach-based modeling can successfully address the underestimation of reflectance in the row crops. |
| first_indexed | 2024-03-10T15:08:31Z |
| format | Article |
| id | doaj.art-e75cf00ee0804620bfb6ae8917a4b75a |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-10T15:08:31Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj.art-e75cf00ee0804620bfb6ae8917a4b75a2023-11-20T19:33:47ZengMDPI AGRemote Sensing2072-42922020-11-011221360010.3390/rs12213600A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering FrameXu Ma0Yong Liu1College of Earth and Environmental Sciences, Lanzhou University, Lanzhou 730000, ChinaCollege of Earth and Environmental Sciences, Lanzhou University, Lanzhou 730000, ChinaThe canopy reflectance model is the physical basis of remote sensing inversion. In canopy reflectance modeling, the geometric optical (GO) approach is the most commonly used. However, it ignores the description of a multiple-scattering contribution, which causes an underestimation of the reflectance. Although researchers have tried to add a multiple-scattering contribution to the GO approach for forest modeling, different from forests, row crops have unique geometric characteristics. Therefore, the modeling approach originally applied to forests cannot be directly applied to row crops. In this study, we introduced the adding method and mathematical solution of integral radiative transfer equation into row modeling, and on the basis of improving the overlapping relationship of the gap probabilities involved in the single-scattering contribution, we derived multiple-scattering equations suitable for the GO approach. Based on these modifications, we established a row model that can accurately describe the single-scattering and multiple-scattering contributions in row crops. We validated the row model using computer simulations and in situ measurements and found that it can be used to simulate crop canopy reflectance at different growth stages. Moreover, the row model can be successfully used to simulate the distribution of reflectances (RMSEs < 0.0404). During computer validation, the row model also maintained high accuracy (RMSEs < 0.0062). Our results demonstrate that considering multiple scattering in GO-approach-based modeling can successfully address the underestimation of reflectance in the row crops.https://www.mdpi.com/2072-4292/12/21/3600canopy model of row cropsmultiple scattering for geometric optical approachthe gap probabilities of row cropsoverlapping relationshiphotspot |
| spellingShingle | Xu Ma Yong Liu A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering Frame Remote Sensing canopy model of row crops multiple scattering for geometric optical approach the gap probabilities of row crops overlapping relationship hotspot |
| title | A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering Frame |
| title_full | A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering Frame |
| title_fullStr | A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering Frame |
| title_full_unstemmed | A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering Frame |
| title_short | A Modified Geometrical Optical Model of Row Crops Considering Multiple Scattering Frame |
| title_sort | modified geometrical optical model of row crops considering multiple scattering frame |
| topic | canopy model of row crops multiple scattering for geometric optical approach the gap probabilities of row crops overlapping relationship hotspot |
| url | https://www.mdpi.com/2072-4292/12/21/3600 |
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