Abstract

With increasing data availability in the big data era, many traditional statistical analyses based on the mean or median are insufficient or inappropriate to elucidate the complex patterns of variation. This is particularly the case when multiple factors are involved and the bivariate scatter occurs as scatter clouds. In such circumstances, constraint line (or envelope) method could be an alternative and effective tool to extract the data boundaries, thus improves our understanding of the complex relationships between limiting factor and response factor. Here, we synthesize the major findings and achievements in the field of applying the constraint line method in ecology. Specifically, we first describe the history and development of the constraint line method. We then discuss the techniques to establish the constraint lines with examples, and discuss the applications and implications of the constraint lines in species distribution, population performance, and optimization problem. We suggest simultaneously application of both constraint lines and regression techniques to the same datasets to achieve a comprehensive understanding of ecological process and underlying mechanisms. Such combined methods should be used with special attention to the role of spatial heterogeneity and scale dependency. We also discuss in detail the potential applicability of the constraint line method in studying the linkages between ecosystem services, and land system design.

Original languageEnglish (US)
Pages (from-to)1100-1109
Number of pages10
JournalChinese Journal of Plant Ecology
Volume40
Issue number10
DOIs
StatePublished - Oct 10 2016

Fingerprint

ecology
methodology
population distribution
ecosystem service
limiting factor
system optimization
method
ecosystem services
biogeography
history

Keywords

  • Constraint envelope
  • Informative boundary
  • Limiting response
  • Optimization
  • Population performance
  • Scatter cloud
  • Species distribution

ASJC Scopus subject areas

  • Plant Science
  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Constraint line methods and the applications in ecology. / Hao, Rui Fang; Yu, De Yong; Wu, Jianguo; Guo, Qin Feng; Liu, Yu Peng.

In: Chinese Journal of Plant Ecology, Vol. 40, No. 10, 10.10.2016, p. 1100-1109.

Research output: Contribution to journalReview article

Hao, Rui Fang ; Yu, De Yong ; Wu, Jianguo ; Guo, Qin Feng ; Liu, Yu Peng. / Constraint line methods and the applications in ecology. In: Chinese Journal of Plant Ecology. 2016 ; Vol. 40, No. 10. pp. 1100-1109.
@article{d46857493f644e5fa896e3de8eb44feb,
title = "Constraint line methods and the applications in ecology",
abstract = "With increasing data availability in the big data era, many traditional statistical analyses based on the mean or median are insufficient or inappropriate to elucidate the complex patterns of variation. This is particularly the case when multiple factors are involved and the bivariate scatter occurs as scatter clouds. In such circumstances, constraint line (or envelope) method could be an alternative and effective tool to extract the data boundaries, thus improves our understanding of the complex relationships between limiting factor and response factor. Here, we synthesize the major findings and achievements in the field of applying the constraint line method in ecology. Specifically, we first describe the history and development of the constraint line method. We then discuss the techniques to establish the constraint lines with examples, and discuss the applications and implications of the constraint lines in species distribution, population performance, and optimization problem. We suggest simultaneously application of both constraint lines and regression techniques to the same datasets to achieve a comprehensive understanding of ecological process and underlying mechanisms. Such combined methods should be used with special attention to the role of spatial heterogeneity and scale dependency. We also discuss in detail the potential applicability of the constraint line method in studying the linkages between ecosystem services, and land system design.",
keywords = "Constraint envelope, Informative boundary, Limiting response, Optimization, Population performance, Scatter cloud, Species distribution",
author = "Hao, {Rui Fang} and Yu, {De Yong} and Jianguo Wu and Guo, {Qin Feng} and Liu, {Yu Peng}",
year = "2016",
month = "10",
day = "10",
doi = "10.17521/cjpe.2016.0152",
language = "English (US)",
volume = "40",
pages = "1100--1109",
journal = "Chinese Journal of Plant Ecology",
issn = "1005-264X",
publisher = "Editorial Office of Chinese Journal of Plant Ecology",
number = "10",

}

TY - JOUR

T1 - Constraint line methods and the applications in ecology

AU - Hao, Rui Fang

AU - Yu, De Yong

AU - Wu, Jianguo

AU - Guo, Qin Feng

AU - Liu, Yu Peng

PY - 2016/10/10

Y1 - 2016/10/10

N2 - With increasing data availability in the big data era, many traditional statistical analyses based on the mean or median are insufficient or inappropriate to elucidate the complex patterns of variation. This is particularly the case when multiple factors are involved and the bivariate scatter occurs as scatter clouds. In such circumstances, constraint line (or envelope) method could be an alternative and effective tool to extract the data boundaries, thus improves our understanding of the complex relationships between limiting factor and response factor. Here, we synthesize the major findings and achievements in the field of applying the constraint line method in ecology. Specifically, we first describe the history and development of the constraint line method. We then discuss the techniques to establish the constraint lines with examples, and discuss the applications and implications of the constraint lines in species distribution, population performance, and optimization problem. We suggest simultaneously application of both constraint lines and regression techniques to the same datasets to achieve a comprehensive understanding of ecological process and underlying mechanisms. Such combined methods should be used with special attention to the role of spatial heterogeneity and scale dependency. We also discuss in detail the potential applicability of the constraint line method in studying the linkages between ecosystem services, and land system design.

AB - With increasing data availability in the big data era, many traditional statistical analyses based on the mean or median are insufficient or inappropriate to elucidate the complex patterns of variation. This is particularly the case when multiple factors are involved and the bivariate scatter occurs as scatter clouds. In such circumstances, constraint line (or envelope) method could be an alternative and effective tool to extract the data boundaries, thus improves our understanding of the complex relationships between limiting factor and response factor. Here, we synthesize the major findings and achievements in the field of applying the constraint line method in ecology. Specifically, we first describe the history and development of the constraint line method. We then discuss the techniques to establish the constraint lines with examples, and discuss the applications and implications of the constraint lines in species distribution, population performance, and optimization problem. We suggest simultaneously application of both constraint lines and regression techniques to the same datasets to achieve a comprehensive understanding of ecological process and underlying mechanisms. Such combined methods should be used with special attention to the role of spatial heterogeneity and scale dependency. We also discuss in detail the potential applicability of the constraint line method in studying the linkages between ecosystem services, and land system design.

KW - Constraint envelope

KW - Informative boundary

KW - Limiting response

KW - Optimization

KW - Population performance

KW - Scatter cloud

KW - Species distribution

UR - http://www.scopus.com/inward/record.url?scp=85008515667&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85008515667&partnerID=8YFLogxK

U2 - 10.17521/cjpe.2016.0152

DO - 10.17521/cjpe.2016.0152

M3 - Review article

AN - SCOPUS:85008515667

VL - 40

SP - 1100

EP - 1109

JO - Chinese Journal of Plant Ecology

JF - Chinese Journal of Plant Ecology

SN - 1005-264X

IS - 10

ER -