Zooplankton proportion estimates from non-uniform sample volumes

David D Billheimer, Peter Guttorpz

Research output: Contribution to journalArticle

Abstract

The relative abundance of organisms from different taxa provides information about ecosystem health and diversity. When the numbers of sampled organisms are modelled as Poisson counts, and the sample volumes are not uniform, variance for the proportion attributable to each taxon is difficult to compute. We present a method for computing approximate variances for this situation. The point estimates and their standard errors reduce to the standard multinomial maximum likelihood results when sample volumes are uniform. Further, given initial estimates of population densities for the taxa of interest, optimal sample volumes can be computed. The methods are illustrated for zooplankton counts from Andrus Lake, Michigan.

Original languageEnglish (US)
Pages (from-to)117-124
Number of pages8
JournalEnvironmental and Ecological Statistics
Volume2
Issue number2
DOIs
StatePublished - Jun 1995
Externally publishedYes

Fingerprint

Zooplankton
Ecosystems
Maximum likelihood
Lakes
zooplankton
Proportion
Health
Count
Estimate
Point Estimate
ecosystem health
Standard error
Ecosystem
Maximum Likelihood
relative abundance
population density
Siméon Denis Poisson
Computing
lake
organism

Keywords

  • ecosystem diversity
  • Poisson counts
  • Species composition
  • variability

ASJC Scopus subject areas

  • Environmental Chemistry
  • Environmental Science(all)
  • Earth and Planetary Sciences(all)

Cite this

Zooplankton proportion estimates from non-uniform sample volumes. / Billheimer, David D; Guttorpz, Peter.

In: Environmental and Ecological Statistics, Vol. 2, No. 2, 06.1995, p. 117-124.

Research output: Contribution to journalArticle

@article{3ee25c4a88a34ec49cfccf2c87d1f47c,
title = "Zooplankton proportion estimates from non-uniform sample volumes",
abstract = "The relative abundance of organisms from different taxa provides information about ecosystem health and diversity. When the numbers of sampled organisms are modelled as Poisson counts, and the sample volumes are not uniform, variance for the proportion attributable to each taxon is difficult to compute. We present a method for computing approximate variances for this situation. The point estimates and their standard errors reduce to the standard multinomial maximum likelihood results when sample volumes are uniform. Further, given initial estimates of population densities for the taxa of interest, optimal sample volumes can be computed. The methods are illustrated for zooplankton counts from Andrus Lake, Michigan.",
keywords = "ecosystem diversity, Poisson counts, Species composition, variability",
author = "Billheimer, {David D} and Peter Guttorpz",
year = "1995",
month = "6",
doi = "10.1007/BF00680297",
language = "English (US)",
volume = "2",
pages = "117--124",
journal = "Environmental and Ecological Statistics",
issn = "1352-8505",
publisher = "Springer Netherlands",
number = "2",

}

TY - JOUR

T1 - Zooplankton proportion estimates from non-uniform sample volumes

AU - Billheimer, David D

AU - Guttorpz, Peter

PY - 1995/6

Y1 - 1995/6

N2 - The relative abundance of organisms from different taxa provides information about ecosystem health and diversity. When the numbers of sampled organisms are modelled as Poisson counts, and the sample volumes are not uniform, variance for the proportion attributable to each taxon is difficult to compute. We present a method for computing approximate variances for this situation. The point estimates and their standard errors reduce to the standard multinomial maximum likelihood results when sample volumes are uniform. Further, given initial estimates of population densities for the taxa of interest, optimal sample volumes can be computed. The methods are illustrated for zooplankton counts from Andrus Lake, Michigan.

AB - The relative abundance of organisms from different taxa provides information about ecosystem health and diversity. When the numbers of sampled organisms are modelled as Poisson counts, and the sample volumes are not uniform, variance for the proportion attributable to each taxon is difficult to compute. We present a method for computing approximate variances for this situation. The point estimates and their standard errors reduce to the standard multinomial maximum likelihood results when sample volumes are uniform. Further, given initial estimates of population densities for the taxa of interest, optimal sample volumes can be computed. The methods are illustrated for zooplankton counts from Andrus Lake, Michigan.

KW - ecosystem diversity

KW - Poisson counts

KW - Species composition

KW - variability

UR - http://www.scopus.com/inward/record.url?scp=0029499553&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029499553&partnerID=8YFLogxK

U2 - 10.1007/BF00680297

DO - 10.1007/BF00680297

M3 - Article

VL - 2

SP - 117

EP - 124

JO - Environmental and Ecological Statistics

JF - Environmental and Ecological Statistics

SN - 1352-8505

IS - 2

ER -