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Combining Environmental Area Frame Surveys of a Finite Population

Prentius, Wilmer and Zhao, Xin and Grafström, Anton (2021). Combining Environmental Area Frame Surveys of a Finite Population. Journal of Agricultural, Biological, and Environmental Statistics. 26 , 250-266
[Research article]

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Abstract

New ways to combine data from multiple environmental area frame surveys of a finite population are being introduced. Environmental surveys often sample finite populations through area frames. However, to combine multiple surveys without risking bias, design components (inclusion probabilities, etc.) are needed at unit level of the finite population. We show how to derive the design components and exemplify this for three commonly used area frame sampling designs. We show how to produce an unbiased estimator using data from multiple surveys, and how to reduce the risk of introducing significant bias in linear combinations of estimators from multiple surveys. If separate estimators and variance estimators are used in linear combinations, there's a risk of introducing negative bias. By using pooled variance estimators, the bias of a linear combination estimator can be reduced. National environmental surveys often provide good estimators at national level, while being too sparse to provide sufficiently good estimators for some domains. With the proposed methods, one can plan extra sampling efforts for such domains, without discarding readily available information from the aggregate/national survey. Through simulation, we show that the proposed methods are either unbiased, or yield low variance with small bias, compared to traditionally used methods.

Authors/Creators:Prentius, Wilmer and Zhao, Xin and Grafström, Anton
Title:Combining Environmental Area Frame Surveys of a Finite Population
Series Name/Journal:Journal of Agricultural, Biological, and Environmental Statistics
Year of publishing :2021
Volume:26
Page range:250-266
Number of Pages:17
Publisher:SPRINGER
ISSN:1085-7117
Language:English
Publication Type:Research article
Article category:Scientific peer reviewed
Version:Published version
Copyright:Creative Commons: Attribution 4.0
Full Text Status:Public
Subjects:(A) Swedish standard research categories 2011 > 1 Natural sciences > 105 Earth and Related Environmental Sciences > Environmental Sciences (social aspects to be 507)
Keywords:Combining data sources, Combining estimators, Environmental monitoring, Linear combination estimator, Sample design properties
URN:NBN:urn:nbn:se:slu:epsilon-p-110373
Permanent URL:
http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-p-110373
Additional ID:
Type of IDID
DOI10.1007/s13253-020-00425-z
Web of Science (WoS)000605890900002
ID Code:24357
Faculty:S - Faculty of Forest Sciences
Department:(S) > Dept. of Forest Resource Management
(NL, NJ) > Dept. of Forest Resource Management
Deposited By: SLUpub Connector
Deposited On:02 Jun 2021 10:44
Metadata Last Modified:02 Jun 2021 10:51

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