Hybrid estimation based on mixed-effects models in forest inventories

In forest inventories, there are many variables of interest that are difficult to measure. Practitioners have to rely on auxiliary variables and models to obtain predictions of these variables. In such contexts, design-based or model-dependent inferences are often ineffective and hybrid estimators are required. Because most models now contain mixed effects, we investigated how the random effects and residual errors affected the inferences in a context of hybrid estimation. We first developed hybrid estimators for the different mixed models. We then tested these estimators through a simulation study. Finally, the estimators were applied to a real-world case study stone pine (Pinus pinea L.) cone production in central Spain. It turned out that the contributions of the random effects and the residual errors to the variance were constant regardless of the sample size. In our case study, these contributions were rather small when compared with those of the sampling and parameter estimates. The greatest impact came from the underestimation of the variance of the parameter estimates when random effects were not taken into account in the model. As the variance estimators make it possible to distinguish different variance components, they can be useful for identifying the greatest sources of uncertainty. © 2016, Canadian Science Publishing. All rights reserved.

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Main Authors: Fortin, M., Manso, R., Calama, R.
Format: journal article biblioteca
Language:eng
Published: 2016
Online Access:http://hdl.handle.net/20.500.12792/1483
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spelling dig-inia-es-20.500.12792-14832020-12-15T09:52:36Z Hybrid estimation based on mixed-effects models in forest inventories Fortin, M. Manso, R. Calama, R. In forest inventories, there are many variables of interest that are difficult to measure. Practitioners have to rely on auxiliary variables and models to obtain predictions of these variables. In such contexts, design-based or model-dependent inferences are often ineffective and hybrid estimators are required. Because most models now contain mixed effects, we investigated how the random effects and residual errors affected the inferences in a context of hybrid estimation. We first developed hybrid estimators for the different mixed models. We then tested these estimators through a simulation study. Finally, the estimators were applied to a real-world case study stone pine (Pinus pinea L.) cone production in central Spain. It turned out that the contributions of the random effects and the residual errors to the variance were constant regardless of the sample size. In our case study, these contributions were rather small when compared with those of the sampling and parameter estimates. The greatest impact came from the underestimation of the variance of the parameter estimates when random effects were not taken into account in the model. As the variance estimators make it possible to distinguish different variance components, they can be useful for identifying the greatest sources of uncertainty. © 2016, Canadian Science Publishing. All rights reserved. 2020-10-22T11:58:12Z 2020-10-22T11:58:12Z 2016 journal article http://hdl.handle.net/20.500.12792/1483 10.1139/cjfr-2016-0298 eng Attribution-NonCommercial-ShareAlike 4.0 International http://creativecommons.org/licenses/by-nc-sa/4.0/ open access
institution INIA ES
collection DSpace
country España
countrycode ES
component Bibliográfico
access En linea
databasecode dig-inia-es
tag biblioteca
region Europa del Sur
libraryname Biblioteca del INIA España
language eng
description In forest inventories, there are many variables of interest that are difficult to measure. Practitioners have to rely on auxiliary variables and models to obtain predictions of these variables. In such contexts, design-based or model-dependent inferences are often ineffective and hybrid estimators are required. Because most models now contain mixed effects, we investigated how the random effects and residual errors affected the inferences in a context of hybrid estimation. We first developed hybrid estimators for the different mixed models. We then tested these estimators through a simulation study. Finally, the estimators were applied to a real-world case study stone pine (Pinus pinea L.) cone production in central Spain. It turned out that the contributions of the random effects and the residual errors to the variance were constant regardless of the sample size. In our case study, these contributions were rather small when compared with those of the sampling and parameter estimates. The greatest impact came from the underestimation of the variance of the parameter estimates when random effects were not taken into account in the model. As the variance estimators make it possible to distinguish different variance components, they can be useful for identifying the greatest sources of uncertainty. © 2016, Canadian Science Publishing. All rights reserved.
format journal article
author Fortin, M.
Manso, R.
Calama, R.
spellingShingle Fortin, M.
Manso, R.
Calama, R.
Hybrid estimation based on mixed-effects models in forest inventories
author_facet Fortin, M.
Manso, R.
Calama, R.
author_sort Fortin, M.
title Hybrid estimation based on mixed-effects models in forest inventories
title_short Hybrid estimation based on mixed-effects models in forest inventories
title_full Hybrid estimation based on mixed-effects models in forest inventories
title_fullStr Hybrid estimation based on mixed-effects models in forest inventories
title_full_unstemmed Hybrid estimation based on mixed-effects models in forest inventories
title_sort hybrid estimation based on mixed-effects models in forest inventories
publishDate 2016
url http://hdl.handle.net/20.500.12792/1483
work_keys_str_mv AT fortinm hybridestimationbasedonmixedeffectsmodelsinforestinventories
AT mansor hybridestimationbasedonmixedeffectsmodelsinforestinventories
AT calamar hybridestimationbasedonmixedeffectsmodelsinforestinventories
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