TY - JOUR A1 - Zimmermann, Alexander A1 - Voss, Sebastian A1 - Metzger, Johanna Clara A1 - Hildebrandt, Anke A1 - Zimmermann, Beate T1 - estimating mean throughfall JF - Journal of hydrology N2 - The selection of an appropriate spatial extent of a sampling plot is one among several important decisions involved in planning a throughfall sampling scheme. In fact, the choice of the extent may determine whether or not a study can adequately characterize the hydrological fluxes of the studied ecosystem. Previous attempts to optimize throughfall sampling schemes focused on the selection of an appropriate sample size, support, and sampling design, while comparatively little attention has been given to the role of the extent. In this contribution, we investigated the influence of the extent on the representativeness of mean throughfall estimates for three forest ecosystems of varying stand structure. Our study is based on virtual sampling of simulated throughfall fields. We derived these fields from throughfall data sampled in a simply structured forest (young tropical forest) and two heterogeneous forests (old tropical forest, unmanaged mixed European beech forest). We then sampled the simulated throughfall fields with three common extents and various sample sizes for a range of events and for accumulated data. Our findings suggest that the size of the study area should be carefully adapted to the complexity of the system under study and to the required temporal resolution of the throughfall data (i.e. event-based versus accumulated). Generally, event-based sampling in complex structured forests (conditions that favor comparatively long autocorrelations in throughfall) requires the largest extents. For event-based sampling, the choice of an appropriate extent can be as important as using an adequate sample size. (C) 2016 Elsevier B.V. All rights reserved. KW - Throughfall KW - Sampling KW - Extent KW - Hydrological monitoring KW - Tropical forest KW - European beech forest Y1 - 2016 U6 - https://doi.org/10.1016/j.jhydrol.2016.09.047 SN - 0022-1694 SN - 1879-2707 VL - 542 SP - 781 EP - 789 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Voss, Sebastian A1 - Zimmermann, Beate A1 - Zimmermann, Alexander T1 - Detecting spatial structures in throughfall data: The effect of extent, sample size, sampling design, and variogram estimation method JF - Journal of hydrology N2 - In the last decades, an increasing number of studies analyzed spatial patterns in throughfall by means of variograms. The estimation of the variogram from sample data requires an appropriate sampling scheme: most importantly, a large sample and a layout of sampling locations that often has to serve both variogram estimation and geostatistical prediction. While some recommendations on these aspects exist, they focus on Gaussian data and high ratios of the variogram range to the extent of the study area. However, many hydrological data, and throughfall data in particular, do not follow a Gaussian distribution. In this study, we examined the effect of extent, sample size, sampling design, and calculation method on variogram estimation of throughfall data. For our investigation, we first generated non Gaussian random fields based on throughfall data with large outliers. Subsequently, we sampled the fields with three extents (plots with edge lengths of 25 m, 50 m, and 100 m), four common sampling designs (two grid-based layouts, transect and random sampling) and five sample sizes (50, 100, 150, 200, 400). We then estimated the variogram parameters by method-of-moments (non-robust and robust estimators) and residual maximum likelihood. Our key findings are threefold. First, the choice of the extent has a substantial influence on the estimation of the variogram. A comparatively small ratio of the extent to the correlation length is beneficial for variogram estimation. Second, a combination of a minimum sample size of 150, a design that ensures the sampling of small distances and variogram estimation by residual maximum likelihood offers a good compromise between accuracy and efficiency. Third, studies relying on method-of-moments based variogram estimation may have to employ at least 200 sampling points for reliable variogram estimates. These suggested sample sizes exceed the number recommended by studies dealing with Gaussian data by up to 100 %. Given that most previous through fall studies relied on method-of-moments variogram estimation and sample sizes <<200, currently available data are prone to large uncertainties. (C) 2016 Elsevier B.V. All rights reserved. KW - Throughfall KW - Geostatistics KW - Sampling KW - variogram KW - Residual maximum likelihood Y1 - 2016 U6 - https://doi.org/10.1016/j.jhydrol.2016.06.042 SN - 0022-1694 SN - 1879-2707 VL - 540 SP - 527 EP - 537 PB - Elsevier CY - Amsterdam ER -