Abstract
Biomass is an important variable for our understanding of the terrestrial carbon cycle, facilitating the need for satellite-based global and continuous monitoring. However, current machine learning methods used to map biomass can often not model the complex relationship between biomass and satellite observations or cannot account for the estimation’s uncertainty. In this work, we exploit the stochastic properties of Conditional Generative Adversarial Networks for quantifying aleatoric uncertainty. Furthermore, we use generator Snapshot Ensembles in the context of epistemic uncertainty and show that unlabeled data can easily be incorporated into the training process. The methodology is tested on a newly presented dataset for satellite-based estimation of biomass from multispectral and radar imagery, using lidar-derived maps as reference data. The experiments show that the final network ensemble captures the dataset’s probabilistic characteristics, delivering accurate estimates and well-calibrated uncertainties.
This work was partly funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - SFB 1502/1-2022 - Projektnummer: 450058266, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy - EXC 2070 - 390732324 and by the German Federal Ministry of Education and Research (BMBF) in the framework of the international future AI lab “AI4EO - Artificial Intelligence for Earth Observation: Reasoning, Uncertainties, Ethics and Beyond” (grant number: 01DD20001).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adler, J., Öktem, O.: Deep Bayesian Inversion (2018). arXiv e-Print arXiv:1811.05910
Amini, J., Sumantyo, J.T.S.: Employing a method on SAR and optical images for forest biomass estimation. IEEE Trans. Geosci. Remote Sens. 47(12), 4020–4026 (2009)
Arjovsky, M., Bottou, L.: Towards principled methods for training generative adversarial networks. In: International Conference on Learning Representations (2016)
Arjovsky, M., Chintala, S., Bottou, L.: Wasserstein generative adversarial networks. In: International Conference on Machine Learning, pp. 214–223 (2017)
Ashton, M.S., Tyrrell, M.L., Spalding, D., Gentry, B.: Managing Forest Carbon in a Changing Climate. Springer, Dordrecht (2012). https://doi.org/10.1007/978-94-007-2232-3
Bihlo, A.: A generative adversarial network approach to (ensemble) weather prediction. Neural Netw. 139, 1–16 (2021)
Björk, S., Anfinsen, S.N., Næsset, E., Gobakken, T., Zahabu, E.: Generation of lidar-predicted forest biomass maps from radar backscatter with conditional generative adversarial networks. In: International Geoscience and Remote Sensing Symposium, pp. 4327–4330 (2020)
Dong, L., et al.: Application of convolutional neural network on lei bamboo above-ground-biomass (AGB) estimation using worldview-2. Remote Sens. 12(6), 958 (2020)
Fekety, P.A., Hudak, A.T.: LiDAR Derived Forest Aboveground Biomass Maps, Northwestern USA, 2002–2016. Oak Ridge National Laboratory Distributed Active Archive Center (2020)
Foody, G.M., Boyd, D.S., Cutler, M.E.J.: Predictive relations of tropical forest biomass from Landsat TM data and their transferability between regions. Remote Sens. Environ. 85(4), 463–474 (2003)
Foody, G.M., et al.: Mapping the biomass of Bornean tropical rain forest from remotely sensed data. Glob. Ecol. Biogeogr. 10(4), 379–387 (2001)
Gal, Y., Ghahramani, Z.: Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning. In: International Conference on Machine Learning. pp. 1050–1059 (2016)
Gawlikowski, J., et al.: A survey of uncertainty in deep neural networks (2021). arXiv e-Print arXiv:2107.03342
Goodfellow, I., et al.: Generative adversarial nets. In: Conference on Neural Information Processing Systems, pp. 2672–2680 (2014)
Guo, C., Pleiss, G., Sun, Y., Weinberger, K.Q.: On calibration of modern neural networks. In: International Conference on Machine Learning, pp. 1321–1330 (Jul 2017)
Houghton, R.A., Hall, F., Goetz, S.J.: Importance of biomass in the global carbon cycle. J. Geophys. Res. 114, G00E03 (2009)
Huang, G., Li, Y., Pleiss, G., Liu, Z., Hopcroft, J.E., Weinberger, K.Q.: Snapshot ensembles: train 1, get M for free. In: International Conference on Learning Representations (2017)
Hüllermeier, E., Waegeman, W.: Aleatoric and epistemic uncertainty in machine learning: an introduction to concepts and methods. Mach. Learn. 110(3), 457–506 (2021). https://doi.org/10.1007/s10994-021-05946-3
Joshi, N., et al.: Understanding ‘saturation’ of radar signals over forests. Sci. Rep. 7(1), 3505 (2017)
Kendall, A., Gal, Y.: What uncertainties do we need in Bayesian deep learning for computer vision? In: Conference on Neural Information Processing Systems, pp. 5580–5590 (2017)
Koochali, A., Schichtel, P., Dengel, A., Ahmed, S.: Probabilistic forecasting of sensory data with generative adversarial networks - ForGAN. IEEE Access 7, 63868–63880 (2019)
Kosaraju, V., Sadeghian, A., Martín-Martín, R., Reid, I., Rezatofighi, S.H., Savarese, S.: Social-BiGAT: multimodal trajectory forecasting using bicycle-GAN and graph attention networks. In: Conference on Neural Information Processing Systems, pp. 137–146 (2019)
Lakshminarayanan, B., Pritzel, A., Blundell, C.: Simple and scalable predictive uncertainty estimation using deep ensembles. In: Conference on Neural Information Processing Systems, pp. 6405–6416 (2017)
Lang, N., Jetz, W., Schindler, K., Wegner, J.D.: A high-resolution canopy height model of the earth (2022). arXiv e-Print arXiv:2204.08322
Lang, N., Kalischek, N., Armston, J., Schindler, K., Dubayah, R., Wegner, J.D.: Global canopy height regression and uncertainty estimation from GEDI LIDAR waveforms with deep ensembles. Remote Sens. Environ. 268, 112760 (2022)
Le Toan, T., et al.: The BIOMASS mission: mapping global forest biomass to better understand the terrestrial carbon cycle. Remote Sens. Environ. 115(11), 2850–2860 (2011)
Lee, M., Seok, J.: Estimation with uncertainty via conditional generative adversarial networks. Sensors 21(18), 6194 (2021)
Leinonen, J., Guillaume, A., Yuan, T.: Reconstruction of cloud vertical structure with a generative adversarial network. Geophys. Res. Lett. 46(12), 7035–7044 (2019)
Li, Y., Li, M., Li, C., Liu, Z.: Forest aboveground biomass estimation using Landsat 8 and Sentinel-1A data with machine learning algorithms. Sci. Rep. 10, 9952 (2020)
Loshchilov, I., Hutter, F.: SGDR: stochastic gradient descent with warm restarts. In: International Conference on Learning Representations (2016)
Maselli, F., Chiesi, M.: Evaluation of statistical methods to estimate forest volume in a mediterranean region. IEEE Trans. Geosci. Remote Sens. 44(8), 2239–2250 (2006)
Mermoz, S., Réjou-Méchain, M., Villard, L., Le Toan, T., Rossi, V., Gourlet-Fleury, S.: Decrease of L-band SAR backscatter with biomass of dense forests. Remote Sens. Environ. 159, 307–317 (2015)
Mescheder, L., Geiger, A., Nowozin, S.: Which training methods for GANs do actually converge? In: International Conference on Machine Learning, pp. 3481–3490 (2018)
Mirza, M., Osindero, S.: Conditional generative adversarial nets (2014). arXiv e-Print arXiv:1411.1784
Mutanga, O., Adam, E., Cho, M.A.: High density biomass estimation for wetland vegetation using WorldView-2 imagery and random forest regression algorithm. Int. J. Appl. Earth Obs. Geoinf. 18, 399–406 (2012)
Neal, R.M.: Bayesian learning for neural networks. Ph.D. thesis, University of Toronto (1995)
Nix, D., Weigend, A.: Estimating the mean and variance of the target probability distribution. In: International Conference on Neural Networks, pp. 55–60 (1994)
Pang, Y., Liu, Y.: Conditional generative adversarial networks (CGAN) for aircraft trajectory prediction considering weather effects. In: AIAA Scitech Forum (2020)
Pearce, T., Brintrup, A., Zaki, M., Neely, A.: High-quality prediction intervals for deep learning: a distribution-free, ensembled approach. In: International Conference on Machine Learning, pp. 4075–4084 (2018)
Ravuri, S., et al.: Skilful precipitation nowcasting using deep generative models of radar. Nature 597(7878), 672–677 (2021)
Rodríguez-Veiga, P., Wheeler, J., Louis, V., Tansey, K., Balzter, H.: Quantifying forest biomass carbon stocks from space. Curr. Forestry Rep. 3(1), 1–18 (2017). https://doi.org/10.1007/s40725-017-0052-5
Ronneberger, O., Fischer, P., Brox, T.: U-net: convolutional networks for biomedical image segmentation. In: Navab, N., Hornegger, J., Wells, W.M., Frangi, A.F. (eds.) MICCAI 2015. LNCS, vol. 9351, pp. 234–241. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-24574-4_28
Roy, P.S., Ravan, S.A.: Biomass estimation using satellite remote sensing data-An investigation on possible approaches for natural forest. J. Biosci. 21(4), 535–561 (1996)
Shimada, M., Ohtaki, T.: Generating large-scale high-quality SAR mosaic datasets: application to PALSAR data for global monitoring. IEEE J. Sel. Top. Appl. Earth Observ. Remote Sens. 3(4), 637–656 (2010)
Wang, Y., Zhang, L., van de Weijer, J.: Ensembles of generative adversarial networks. In: Conference on Neural Information Processing Systems (2016). Workshop on Adversarial Training
Wilson, A.G., Izmailov, P.: Bayesian deep learning and a probabilistic perspective of generalization. In: Conference on Neural Information Processing Systems, pp. 4697–4708 (2020)
Zhang, C., Jin, B.: Probabilistic residual learning for aleatoric uncertainty in image restoration (2019). arXiv e-Print arXiv:1908.01010v1
Zolkos, S.G., Goetz, S.J., Dubayah, R.: A meta-analysis of terrestrial aboveground biomass estimation using lidar remote sensing. Remote Sens. Environ. 128, 289–298 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Leonhardt, J., Drees, L., Jung, P., Roscher, R. (2022). Probabilistic Biomass Estimation with Conditional Generative Adversarial Networks. In: Andres, B., Bernard, F., Cremers, D., Frintrop, S., Goldlücke, B., Ihrke, I. (eds) Pattern Recognition. DAGM GCPR 2022. Lecture Notes in Computer Science, vol 13485. Springer, Cham. https://doi.org/10.1007/978-3-031-16788-1_29
Download citation
DOI: https://doi.org/10.1007/978-3-031-16788-1_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-16787-4
Online ISBN: 978-3-031-16788-1
eBook Packages: Computer ScienceComputer Science (R0)