E&G Quaternary Science Journal E&G Quaternary Sci. J. 2199-9090 2019 68 1 Elisabeth Dietze https://orcid.org/0000-0003-4817-8441 Michael Dietze https://orcid.org/0000-0001-6063-1726

05 16 2019 29 46 https://creativecommons.org/licenses/by/4.0/ Model code and software 10.5880/GFZ.4.6.2019.002 10.5194/egqsj-68-29-2019 https://egqsj.copernicus.org/articles/68/29/2019/ https://egqsj.copernicus.org/articles/68/29/2019/egqsj-68-29-2019.pdf 10.1007/978-94-009-4109-0 Aitchison, J.: The statistical analysis of compositional data, Chapham and Hall, London, New York, 1986.  10.1111/j.1365-3091.1980.tb01170.x Bagnold, R. A. and Barndorff-Nielsen, O.: The pattern of natural size distributions, Sedimentology, 27, 199–207, 1980.  10.1016/j.sedgeo.2007.03.008 Bartholdy, J., Christiansen, C., and Pedersen, J. B. T.: Comparing spatial grain-size trends inferred from textural parameters using percentile statistical parameters and those based on the log-hyperbolic method, Sedimentary Geology From Particle Size to Sediment Dynamics, 202, 436–452, 2007.  Bengtsson, H.: R.matlab: Read and Write MAT Files and Call MATLAB from Within R, available at: https://CRAN.R-project.org/package=R.matlab (last access: 10 May 2019), 2018.  10.1177/0013164404272507 Bernaards, C. A. and Jennrich, R. I.: Gradient Projection Algorithms and Software for Arbitrary Rotation Criteria in Factor Analysis, Educ. Psychol. Meas., 65, 676–696, 2005.  10.1002/esp.261 Blott, S. J. and Pye, K.: GRADISTAT: a grain size distribution and statistics package for the analysis of unconsolidated sediments, Earth Surf. Process. Landforms, 26, 1237–1248, https://doi.org/10.1002/esp.261, 2001.  10.1007/s11001-015-9254-z Borchers, A., Dietze, E., Kuhn, G., Esper, O., Voigt, I., Hartmann, K., and Diekmann, B.: Holocene ice dynamics and bottom-water formation associated with Cape Darnley polynya activity recorded in Burton Basin, East Antarctica, Mar. Geophys. Res., 2015, 1–22, https://doi.org/10.1007/s11001-015-9254-z, 2015.  Buccianti, A., Mateu-Figueras, G., and Pawlowsky-Glahn, V.: Compositional Data Analysis in the Geosciences: From Theory to Practice, Geological Society of London, London, 212 pp., 2006.  10.1007/s00382-017-3929-x Ciemer, C., Boers, N., Barbosa, H. M. J., Kurths, J., and Rammig, A.: Temporal evolution of the spatial covariability of rainfall in South America, Clim. Dynam., 51, 371–382, 2018.  10.1002/2016EA000201 David, C. H., Gil, Y., Duffy, C. J., Peckham, S. D., and Venayagamoorthy, S. K.: An introduction to the special issue on Geoscience Papers of the Future, Earth Space Sci., 3, 441–444, 2016.  10.1016/j.sedgeo.2011.09.014 Dietze, E., Hartmann, K., Diekmann, B., Ijmker, J., Lehmkuhl, F., Opitz, S., Stauch, G., Wünnemann, B., and Borchers, A.: An end-member algorithm for deciphering modern detrital processes from lake sediments of Lake Donggi Cona, NE Tibetan Plateau, China, Sediment. Geol., 243–244, 169–180, 2012.  10.1016/j.yqres.2012.12.008 Dietze, E., Wünnemann, B., Hartmann, K., Diekmann, B., Jin, H., Stauch, G., Yang, S., and Lehmkuhl, F.: Early to mid-Holocene lake high-stand sediments at Lake Donggi Cona, northeastern Tibetan Plateau, China, Quaternary Res., 79, 325–336, 2013.  10.5194/cp-10-91-2014 Dietze, E., Maussion, F., Ahlborn, M., Diekmann, B., Hartmann, K., Henkel, K., Kasper, T., Lockot, G., Opitz, S., and Haberzettl, T.: Sediment transport processes across the Tibetan Plateau inferred from robust grain-size end members in lake sediments, Clim. Past, 10, 91–106, https://doi.org/10.5194/cp-10-91-2014, 2014.  Dietze, M. and Dietze, E.: EMMAgeo: End-Member Modelling of Grain-Size Data, available at: https://cran.r-project.org/web/packages/EMMAgeo/ (last access: 10 May 2019), 2016.  Dietze, M. and Dietze, E.: EMMAgeo – R package. V. 0.9.6, GFZ Data Services, https://doi.org/10.5880/GFZ.4.6.2019.002, 2019.  10.1016/j.yqres.2015.11.007 Dietze, M., Dietze, E., Lomax, J., Fuchs, M., Kleber, A., and Wells, S. G.: Environmental history recorded in aeolian deposits under stone pavements, Mojave Desert, USA, Quaternary Res., 85, 4–16, 2016.  10.1016/j.sedgeo.2007.03.018 Flemming, B. W.: The influence of grain-size analysis methods and sediment mixing on curve shapes and textural parameters: Implications for sediment trend analysis, Sedimentary Geology From Particle Size to Sediment Dynamics, 202, 425–435, 2007.  10.1306/74D70646-2B21-11D7-8648000102C1865D Folk, R. L. and Ward, W. C.: Brazos River bar [Texas]; a study in the significance of grain size parameters, J. Sediment. Res., 27, 3–26, 1957.  10.1306/74D70BCD-2B21-11D7-8648000102C1865D Friedman, G. M.: Distinction between dune, beach, and river sands from their textural characteristics, J. Sediment. Res., 31, 514–529, 1961.  10.2110/jsr.2017.68 Gan, S. Q. and Scholz, C. A.: Skew Normal Distribution Deconvolution of Grain-size Distribution and Its Application To 530 Samples from Lake Bosumtwi, Ghana, J. Sediment. Res., 87, 1214–1225, 2017.  10.1016/j.sedgeo.2007.03.013 Hartmann, D.: From reality to model: Operationalism and the value chain of particle-size analysis of natural sediments, Sedimentary Geology From Particle Size to Sediment Dynamics, 202, 383–401, 2007.  10.1016/j.margeo.2007.03.004 Heslop, D., von Dobeneck, T., and Höcker, M.: Using non-negative matrix factorization in the “unmixing” of diffuse reflectance spectra, Mar. Geol., 241, 63–78, 2007.  Hunter, D. R., Richards, D. S. P., and Rosenberger, J. L.: Nonparametric Statistics and Mixture Models, World Scientific, The Pennsylvania State University, 2011.  10.1007/BF02047433 Klovan, J. E. and Imbrie, J.: An algorithm and Fortran-iv program for large-scale Q-mode factor analysis and calculation of factor scores, J. Int. Ass. Math. Geol., 3, 61–77, 1971.  10.1016/0378-3758(94)00120-K Lindsay, B. G. and Lesperance, M. L.: A review of semiparametric mixture models, J. Stat. Plan. Infer., 47, 29–39, 1995.  10.1177/0959683617752836 Macumber, A. L., Patterson, R. T., Galloway, J. M., Falck, H., and Swindles, G. T.: Reconstruction of Holocene hydroclimatic variability in subarctic treeline lakes using lake sediment grain-size end-members, Holocene, 28, 845–857, 2018.  10.1016/j.epsl.2013.03.054 McGee, D., deMenocal, P. B., Winckler, G., Stuut, J. B. W., and Bradtmiller, L. I.: The magnitude, timing and abruptness of changes in North African dust deposition over the last 20 000 yr, Earth Planet. Sc. Lett., 371–372, 163–176, 2013.  10.1016/j.quaint.2012.12.040 Meszner, S., Kreutzer, S., Fuchs, M., and Faust, D.: Late Pleistocene landscape dynamics in Saxony, Germany: Paleoenvironmental reconstruction using loess-paleosol sequences, Quaternary Int., 296, 94–107, 2013.  Meyer, D., Dimitriadou, E., Hornik, K., Weingessel, A., and Leisch, F.: e1071: Misc Functions of the Department of Statistics, Probability Theory Group (Formerly: E1071), available at: https://CRAN.R-project.org/package=e1071 (last access: 10 May 2019), TU Wien, 2017.  10.1016/0098-3004(76)90003-0 Miesch, A. T.: Q-mode factor analysis of compositional data, Comput. Geosci., 1, 147–159, 1976.  Mullen, K. M. and van Stokkum, I. H. M.: nnls: The Lawson-Hanson algorithm for non-negative least squares (NNLS), available at: https://CRAN.R-project.org/package=nnls (last access: 10 May 2019), 2012.  10.1038/s41562-016-0021 Munafò, M. R., Nosek, B. A., Bishop, D. V. M., Button, K. S., Chambers, C. D., Percie du Sert, N., Simonsohn, U., Wagenmakers, E.-J., Ware, J. J., and Ioannidis, J. P. A.: A manifesto for reproducible science, Nature Human Behaviour, 1, 0021, Tulsa, Oklahoma, USA, 2017.  10.1002/2015GC006070 Paterson, G. A. and Heslop, D.: New methods for unmixing sediment grain size data, Geochem. Geophys. Geosyst., 16, 4494–4506, 2015.  10.2110/pec.99.62.0091 Prins, M. A. and Weltje, G. J.: End-member modeling of siliciclastic grain-size distributions: The late Quaternary record of aeolian and fluvial sediment supply to the Arabian Sea and its paleoclimatic significance, in: SEPM Special Publication, edited by: Harbaugh, J., 62, Society for Sedimentary Geology, 1999.  10.1016/0277-3791(95)00047-X Pye, K.: The nature, origin and accumulation of loess, Quaternary Sci. Rev., 14, 653–667, 1995.  R Core Team: R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, 2017.  10.1130/G37261.1 Schillereff, D. N., Chiverrell, R. C., Macdonald, N., and Hooke, J. M.: Hydrological thresholds and basin control over paleoflood records in lakes, Geology, 44, 43–46, 2016.  Schulte, P., Dietze, M., and Dietze, E.: How well does end-member modelling analysis of grain size data work?, EGU General Assembly Conference Abstracts, 1903, 2014.  10.1007/s11004-015-9609-7 Seidel, M. and Hlawitschka, M.: An R-Based Function for Modeling of End Member Compositions, Math. Geosci., 47, 995–1007, 2015.  10.1029/2011GB004104 Strauss, J., Schirrmeister, L., Wetterich, S., Borchers, A., and Davydov, S. P.: Grain-size properties and organic-carbon stock of Yedoma Ice Complex permafrost from the Kolyma lowland, northeastern Siberia, Global Biogeochem. Cy., 26, 1–12, 2012.  10.1016/S0025-3227(01)00215-8 Stuut, J.-B. W., Prins, M. A., Schneider, R. R., Weltje, G. J., Jansen, J. H. F., and Postma, G.: A 300-kyr record of aridity and wind strength in southwestern Africa: inferences from grain-size distributions of sediments on Walvis Ridge, SE Atlantic, Mar. Geol., 180, 221–233, 2002.  10.1016/S0037-0738(02)00082-9 Sun, D., Bloemendal, J., Rea, D. K., Vandenberghe, J., Jiang, F., An, Z., and Su, R.: Grain-size distribution function of polymodal sediments in hydraulic and aeolian environments, and numerical partitioning of the sedimentary components, Sediment. Geol., 152, 263–277, 2002.  10.1038/ngeo289 Tjallingii, R., Claussen, M., Stuut, J.-B. W., Fohlmeister, J., Jahn, A., Bickert, T., Lamy, F., and Rohl, U.: Coherent high- and low-latitude control of the northwest African hydrological balance, Nat. Geosci., 1, 670–675, 2008.  10.1016/j.catena.2014.12.004 Toonen, W. H. J., Winkels, T. G., Cohen, K. M., Prins, M. A., and Middelkoop, H.: Lower Rhine historical flood magnitudes of the last 450 years reproduced from grain-size measurements of flood deposits using End Member Modelling, CATENA, 130, 69–81, 2015.  10.1016/j.earscirev.2013.03.001 Vandenberghe, J.: Grain size of fine-grained windblown sediment: A powerful proxy for process identification, Earth-Sci. Rev., 121, 18–30, 2013.  10.1016/S0031-0182(03)00729-6 Vandenberghe, J., Lu, H., Sun, D., van Huissteden, J., and Konert, M.: The late Miocene and Pliocene climate in East Asia as recorded by grain size and magnetic susceptibility of the Red Clay deposits (Chinese Loess Plateau), Palaeogeogr. Palaeocl., 204, 239–255, 2004.  10.1016/j.earscirev.2017.11.005 Vandenberghe, J., Sun, Y., Wang, X., Abels, H. A., and Liu, X.: Grain-size characterization of reworked fine-grained aeolian deposits, Earth-Sci. Rev., 177, 43–52, 2018.  Van den Boogaart, K. G., Tolosana, R., and Bren, M.: compositions: Compositional Data Analysis, available at: https://CRAN.R-project.org/package=compositions (last access: 10 May 2019), 2014.  10.1016/j.sedgeo.2017.12.003 van Hateren, J. A., Prins, M. A., and van Balen, R. T.: On the genetically meaningful decomposition of grain-size distributions: A comparison of different end-member modelling algorithms, Sediment. Geol., 375, 49–71, 2018.  10.1016/j.quaint.2017.09.021 Varga, G., Újvári, G., and Kovács, J.: Interpretation of sedimentary (sub)populations extracted from grain size distributions of Central European loess-paleosol series, Quaternary Int., 502, 60–70, https://doi.org/10.1016/j.quaint.2017.09.021, 2019.  10.1306/74D71D9D-2B21-11D7-8648000102C1865D Visher, G. S.: Grain size distributions and depositional processes, J. Sediment. Res., 39, 1074–1106, 1969.  10.1111/j.1365-3091.2005.00743.x Vriend, M. and Prins, M. A.: Calibration of modelled mixing patterns in loess grain-size distributions: an example from the north-eastern margin of the Tibetan Plateau, China, Sedimentology, 52, 1361–1374, 2005.  10.1007/BF02775085 Weltje, G.: End-member modeling of compositional data: Numerical-statistical algorithms for solving the explicit mixing problem, Math. Geol., 29, 503–549, 1997.  10.1016/S0037-0738(03)00235-5 Weltje, G. J. and Prins, M. A.: Muddled or mixed? Inferring palaeoclimate from size distributions of deep-sea clastics, Sediment. Geol., 162, 39–62, 2003.  10.1016/j.sedgeo.2007.03.007 Weltje, G. J. and Prins, M. A.: Genetically meaningful decomposition of grain-size distributions, Sediment. Geol., 202, 409–424, 2007.  10.1016/j.palaeo.2016.01.027 Wündsch, M., Haberzettl, T., Kirsten, K. L., Kasper, T., Zabel, M., Dietze, E., Baade, J., Daut, G., Meschner, S., Meadows, M. E.,<span id="page46"/> and Mäusbacher, R.: Sea level and climate change at the southern Cape coast, South Africa, during the past 4.2 kyr, Palaeogeogr. Palaeocl., 446, 295–307, 2016.  10.1111/j.1365-3091.2011.01294.x Xiao, J., Chang, Z., Fan, J., Zhou, L., Zhai, D., Wen, R., and Qin, X.: The link between grain-size components and depositional processes in a modern clastic lake, Sedimentology, 59, 1050–1062, 2012.   10.1007/s11004-015-9611-0 Yu, S.-Y., Colman, S. M., and Li, L.: BEMMA: A Hierarchical Bayesian End-Member Modeling Analysis of Sediment Grain-Size Distributions, Math. Geosci., 2015, 1–19, https://doi.org/10.1007/s11004-015-9611-0, 2015.  supplement file to the article 10.5194/egqsj-68-29-2019-supplement https://egqsj.copernicus.org/articles/68/29/2019/egqsj-68-29-2019-supplement.zip