Abstract
We proposed a new generic qualitative-quantitative method for remote sensing image analysis: statistical inference, which is different from the traditional qualitative remote sensing method, classification, and the quantitative remote sensing method, inversion. Remote sensing statistical inference is theoretically based on statistical optics, radiative transfer, and probability distribution transfer, and primarily studies how the probability distributions of surface properties affect the spectral probability distributions (SPD) of the sensor-observed optical signals, and further how to infer the probability distributions of surface properties from the SPDs so that we can obtain qualitative and quantitative information about the earth surface object. In this study, we introduced the basic concepts, principles, applicability, and research topics of statistical inference as well as its advantages over remote sensing classification and inversion. Using the Monte-Carlo and Hydrolight simulations, we studied the statistical transfer of probability distribution of ocean color components in complex water, found that the simulated results are basically consistent with the theoretical predictions, and confirmed that the probability distributions of water’s inherent optical properties have significant impacts on the SPDs of its apparent optical properties.
Similar content being viewed by others
Data availability
Not applicable
Code availability
Not applicable
References
Al-Yaari A, Wigneron JP, Kerr Y, Rodriguez-Fernandez N, O’Neill PE, Jackson TJ, De Lannoy GJM, Al-Bitar A, Mialon A, Richaume P (2017) Evaluating soil moisture retrievals from ESA’s SMOS and NASA’s SMAP brightness temperature datasets. Remote Sens Environ 193:257–273
Casella G, Berger GL (2001) Statistical Inference, 2nd edn. Cengage Learning Press, Singapore
Chi MM, Plaza A, Benediktsson JA, Sun ZY, Shen JS, Zhu YY (2016) Big data for remote sensing: challenges and opportunities. Proc IEEE 104(11):2207–2219
Dozier J (1989) Spectral signature of alpine snow cover from the Landsat thematic mapper. Remote Sens Environ 28:9
Du CG, Wang Q, Li YM, Lyu H, Zhu L, Zheng ZB, Wen S, Liu G, Guo YL (2018) Estimation of total phosphorus concentration using a water classification method in inland water. Int J Appl Earth Observ Geoinform 71:29–42
Duan HT, Tao M, Loiselle SA, Zhao W, Cao ZG, Ma RH, Tang XX (2017) MODIS observations of cyanobacterial risks in a eutrophic lake: Implications for long-term safety evaluation in drinking-water source. Water Res 122:455–470
Fassoni-Andrade AC, de Paiva RCD (2019) Mapping spatial-temporal sediment dynamics of river-floodplains in the Amazon. Remote Sens Environ 221:94–107
Felzenszwalb PF, Huttenlocher DP (2004) Efficient graph-based image segmentation. Int J Comput Vision 59(2):167–181
Foody GM (2002) Status of land cover classification accuracy assessment. Remote Sens Environ 80(1):185–201
Garcia RA, Lee ZP, Hochberg EJ (2018) Hyperspectral shallow-water remote sensing with an enhanced benthic classifier. Remote Sens 10(1):147
Gibbons JD, Chakraborti S (2003) Nonparametric Statistical Inference. Marcel Dekker Press, New York
Gitelson AA, Merzlyak MN (1996) Signature analysis of leaf reflectance spectra: Algorithm development for remote sensing of chlorophyll. J Plant Physiol 148(3–4):494–500
Gitelson AA, Schalles JF, Hladik CM (2007) Remote chlorophyll-a retrieval in turbid, productive estuaries: Chesapeake Bay case study. Remote Sens Environ 109:464–472
Gonzalez RC, Woods RE (2017) Digital Image Processing, 4th edn. Pearson Press, New York
Goodman JW (2015) Statistical Optics, 2nd edn. John Wiley & Sons Press, New Jersey
Huang D, Liu YA, Wiscombe W (2010) Replacing pixel representations by point-function schemes for reducing discretization error in ill-posed remote sensing problems, with examples from cloud tomography. Remote Sens Lett 1(2):95–102
Kandidov VP (1996) Monte Carlo method in nonlinear statistical optics. Uspekhi Fizicheskikh Nauk 166(12):1309–1338
Kettig RL, Landgrebe DA (1976) Classification of multispectral image data by extraction and classification of homogeneous objects. IEEE Trans Geosci Remote Sens 14(1):19–26
Kuhn C, Valerio AD, Ward N, Loken L, Sawakuchi HO, Karnpel M, Richey J, Stadler P, Crawford J, Striegl R, Vermote E, Pahlevan N, Butman D (2019) Performance of Landsat-8 and Sentinel-2 surface reflectance products for river remote sensing retrievals of chlorophyll-a and turbidity. Remote Sens Environ 224:104–118
Kussul N, Lavreniuk M, Skakun S, Shelestov A (2017) Deep learning classification of land cover and crop types using remote sensing data. IEEE Geosci Remote Sens Lett 14(5):778–782
Lee ZP, Carder KL, Arnone RA (2002) Deriving inherent optical properties from water color: A multiband quasi-analytical algorithm for optically deep waters. Appl Opt 41(27):5755–5772
Li WB, Du ZQ, Ling F, Zhou DB, Wang HL, Gui YM, Sun BY, Zhang XM (2013) A comparison of land surface water mapping using the normalized difference water index from TM ETM plus and ALI. Remote Sens 5(11):5530–5549
Liang SL (2003) Quantitative Remote Sensing Of Land Surfaces. Wiley, New Jersey
Martinez-Alvarez F, Bui DT (2020) Advanced machine learning and big data analytics in remote sensing for natural hazards management. Remote Sens 12(2):301
Miranda J, Baliarsingh SK, Lotliker AA, Sahoo S, Sahu KC, Kumar TS (2020) Long-term trend and environmental determinants of phytoplankton biomass in coastal waters of northwestern Bay of Bengal. Environ Monitor Assess 192(1):55
Otsu N (1979) A threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern 9(1):62–66
Quan XW, He BB, Li X (2015) A Bayesian network-based method to alleviate the ill-posed inverse problem: A case study on leaf area index and canopy water content retrieval. IEEE Trans Geosci Remote Sens 53(12):6507–6517
Svendsen DH, Morales-Alvarez P, Ruesca AB, Molina R, Camps-Valls G (2020) Deep Gaussian processes for biogeophysical parameter retrieval and model inversion. ISPRS J Photogramm Remote Sens 166:68–81
Umar M, Rhoads BL, Greenberg JA (2018) Use of multispectral satellite remote sensing to assess mixing of suspended sediment downstream of large river confluences. J Hydrol 556:325–338
Watanabe FSY, Alcantara E, Rodrigues TWP, Imai NN, Barbosa CCF, Rotta LHD (2015) Estimation of chlorophyll-a concentration and the trophic state of the Barra Bonita hydroelectric reservoir using OLI/Landsat-8 images. Int J Environ Res Public Health 12(9):10391–10417
Wilson EB (1927) Probable inference, the law of succession, and statistical inference. J Am Stat Assoc 22:209–212
Xu J, Fang CY, Gao D, Zhang HS (2018) Optical models for remote sensing of chromophoric dissolved organic matter (CDOM) absorption in Poyang Lake. ISPRS J Photogramm Remote Sens 142:124–136
Yu Q, Gong P, Clinton N, Biging G, Kelly M, Schirokauer D (2006) Object-based detailed vegetation classification with airborne high spatial resolution remote sensing imagery. Photogramm Eng Remote Sens 72(7):799–811
Yue JB, Yang GJ, Li CC, Li ZH, Wang YJ, Feng HK, Xu B (2019) Estimation of winter wheat above-ground biomass using unmanned aerial vehicle-based snapshot hyperspectral sensor and crop height improved models. Remote Sens 9(7):708
Yunus AP, Masago Y, Hijioka Y (2020) COVID-19 and surface water quality: Improved lake water quality during the lockdown. Sci Total Environ 731:139012
Zhu WN, Tian YQ, Yu Q, Becker BL (2013) Using Hyperion imagery to monitor the spatial and temporal distribution of colored dissolved organic matter in estuarine and coastal regions. Remote Sens Environ 134:342–354
Zhu WN, Zhang ZL, Yang ZQ, Pang SN, Chen J, Cheng Q (2020) Spectral possibility distribution of closed connected water and remote sensing statistical inference for lacustrine yellow substance. Earth Space Sci Open Arch. https://doi.org/10.1002/essoar.10502914.1
Acknowledgements
This study is supported by National Natural Science Foundation of China (No. 41971373, 41876031). The author also thanks Zeliang Zhang, Shuna Pang, and Zaiqiao Yang for their work of data and image processing.
Funding
This study was supported by National Natural Science Foundation of China (No. 41971373, 41876031).
Author information
Authors and Affiliations
Contributions
Not applicable
Corresponding author
Ethics declarations
Conflicts of interest/Competing interests
No.
Additional information
Communicated by: H. Babaie
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhu, W. Remote sensing statistical inference: basic theory and forward simulation of water–air statistical radiative transfer. Earth Sci Inform 14, 2145–2159 (2021). https://doi.org/10.1007/s12145-021-00661-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12145-021-00661-y