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. 2013 Oct 29;8(10):e78615. doi: 10.1371/journal.pone.0078615

Table 1. Root mean square errors (RMSE) obtained with three different datasets for several statistical models: linear regression (L), quadratic regression (Q), cubic regression (C), dynamic linear models with and without trend (DLMs, DLM0), and linear-plus-plateau (LP).

Models
Dataset Quantity Units L Q C DLMs DLM0 LP
France RMSE t ha−1 0.60 0.54 0.50 0.47 0.38 NA
Differencea % 55.38 40.85 28.95 22.82 0.00 NA
France (restricted) RMSE t ha−1 0.59 0.53 0.48 0.46 0.38 0.50
Differencea % 57.62 42.32 29.13 23.03 0.00 32.30
Global RMSE t ha−1 0.40 0.35 0.32 0.23 0.20 NA
Differencea % 96.98 74.03 59.76 15.11 0.00 NA
a

The differences with respect to the lowest RMSE values are expressed as a percentage of the lowest RMSE values (RMSEmin); Difference = 100*(RMSE – RMSEmin)/RMSEmin.