Table 4 Global error metrics for maximum likelihood (ML) and PRM methods. \(PRM({\overline{D}D}_{g})\): PRM system of Eqs. (8, 9) applied to the field values of \(\overline{D}\) and \({D}_{\mathrm{g}}\). \(PRM({\widehat{\overline{D}}\widehat{D}}_{g})\): PRM system of Eqs. (8, 9) applied to values of \(\widehat{\overline{D}}\) and \({\widehat{D}}_{\mathrm{g}}\) obtained from age and site index using the corresponding models. \(PRM({{D}_{\mathrm{o}}D}_{\mathrm{g}})\) and \(PRM({{\widehat{D}}_{\mathrm{o}}\widehat{D}}_{\mathrm{g}})\): PRM system of Eqs. (8, 10) using the field values of \({D}_{\mathrm{o}}\), \({D}_{\mathrm{g}}\) and \(N\) and their predicted values \({\widehat{D}}_{\mathrm{o}},{\widehat{D}}_{\mathrm{g}}\) and \(N\), resp. \(\Delta PRM({\widehat{\overline{D}}\widehat{D}}_{\mathrm{g}})\) and \({\Delta PRM({\widehat{D}}_{\mathrm{o}}\widehat{D}}_{\mathrm{g}})\): increase in each error metric and PRM method when attributes for the PRM systems of equations were predicted from age, site index and silvicultural regime using the yield table models. Increases are expressed in terms relative to the error metrics obtained using the field measurements of \(\overline{D}\) and \({D}_{\mathrm{g}}\) and \({D}_{\mathrm{o}}\), \({D}_{\mathrm{g}}\) and \(N\). \(\overline{D}:\) mean diameter, \({D}_{\mathrm{o}}\): dominant diameter, \({D}_{\mathrm{g}}\): quadratic mean diameter and \(N:\) stand density. \(\widehat{\overline{D}}\), \({\widehat{D}}_{\mathrm{o}}\) and \({\widehat{D}}_{\mathrm{g}}\) represent predictions of \(\overline{D}, {D}_{\mathrm{o}}\) and \({D}_{\mathrm{g}}\) obtained from the yield table models

From: Comparison of two parameter recovery methods for the transformation of Pinus sylvestris yield tables into a diameter distribution model