Evaluating the precision of eight spatial sampling schemes in estimating regional means of simulated yield for two crops

Gang Zhao, Holger Hoffmann, Jagadeesh Yeluripati, Specka Xenia, Claas Nendel, Elsa Coucheney, Matthias Kuhnert, Fulu Tao, Julie Constantin, Helene Raynal, Edmar Teixeira, Balázs Grosz, Luca Doro, Ralf Kiese, Henrik Eckersten, Edwin Haas, Davide Cammarano, Belay Kassie, Marco Moriondo, Giacomo TrombiMarco Bindi, Christian Biernath, Florian Heinlein, Christian Klein, Eckart Priesack, Elisabet Lewan, Kurt Christian Kersebaum, Reimund Rötter, Pier Paolo Roggero, Daniel Wallach, Senthold Asseng, Stefan Siebert, Thomas Gaiser, Frank Ewert

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


We compared the precision of simple random sampling (SimRS) and seven types of stratified random sampling (StrRS) schemes in estimating regional mean of water-limited yields for two crops (winter wheat and silage maize) that were simulated by fourteen crop models. We found that the precision gains of StrRS varied considerably across stratification methods and crop models. Precision gains for compact geographical stratification were positive, stable and consistent across crop models. Stratification with soil water holding capacity had very high precision gains for twelve models, but resulted in negative gains for two models. Increasing the sample size monotonously decreased the sampling errors for all the sampling schemes. We conclude that compact geographical stratification can modestly but consistently improve the precision in estimating regional mean yields. Using the most influential environmental variable for stratification can notably improve the sampling precision, especially when the sensitivity behavior of a crop model is known.

Original languageEnglish
Pages (from-to)100-112
Number of pages13
JournalEnvironmental Modelling and Software
StatePublished - 1 Jun 2016
Externally publishedYes


  • Clustering
  • Crop model
  • Model comparison
  • Precision gain
  • Simple random sampling
  • Stratified random sampling
  • Up-scaling


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