IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v28y1996i12p2139-2154.html
   My bibliography  Save this article

The Phylogenetic Moment—A New Diversity Measure, with Procedures for Measurement and Optimisation

Author

Listed:
  • M E T Horn

    (CSIRO Division of Information Technology, PO Box 664, Canberra, ACT 2601, Australia)

  • D P Faith
  • P A Walker

Abstract

The measurement of diversity in biological systems is an increasingly important requirement in environmental planning at regional, national, and even international levels. Phylogenetic diversity indicates the biological variety present in a set of species by reference to the phylogenetic relationships amongst the species. A new diversity measure is proposed which for a given group indicates how well a given set of extant taxa represent the group as a whole. The new measure is called the phylogenetic moment, and is related to the p -median definition of locational efficiency in location—allocation analysis. Several analytical techniques for the new measure are described: an evaluation procedure, an heuristic optimisation procedure designed to select a representationally efficient set of taxa, and an exact algorithm for the special case where only one taxon is to be selected. The authors describe the application of the procedures in conservation planning for Australian bat fauna, and report the results of performance tests on a variety of other data sets. Because of their efficient performance and modest storage requirements, the procedures are well suited to the analysis of large taxonomic trees.

Suggested Citation

  • M E T Horn & D P Faith & P A Walker, 1996. "The Phylogenetic Moment—A New Diversity Measure, with Procedures for Measurement and Optimisation," Environment and Planning A, , vol. 28(12), pages 2139-2154, December.
    • Handle: RePEc:sae:envira:v:28:y:1996:i:12:p:2139-2154
    DOI: 10.1068/a282139
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a282139
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a282139?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Michael B. Teitz & Polly Bart, 1968. "Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph," Operations Research, INFORMS, vol. 16(5), pages 955-961, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marianov, Vladimir & Serra, Daniel & ReVelle, Charles, 1999. "Location of hubs in a competitive environment," European Journal of Operational Research, Elsevier, vol. 114(2), pages 363-371, April.
    2. Mandell, Marvin B. & Becker, Les R., 1996. "A model for locating automatic external defibrillators," Socio-Economic Planning Sciences, Elsevier, vol. 30(1), pages 51-66, March.
    3. Zhizhu Lai & Qun Yue & Zheng Wang & Dongmei Ge & Yulong Chen & Zhihong Zhou, 2022. "The min-p robust optimization approach for facility location problem under uncertainty," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 1134-1160, September.
    4. Stephanie A. Snyder & Robert G. Haight, 2016. "Application of the Maximal Covering Location Problem to Habitat Reserve Site Selection," International Regional Science Review, , vol. 39(1), pages 28-47, January.
    5. Xin Tang & Ameur Soukhal & Vincent T’kindt, 2014. "Preprocessing for a map sectorization problem by means of mathematical programming," Annals of Operations Research, Springer, vol. 222(1), pages 551-569, November.
    6. Steiner, Maria Teresinha Arns & Datta, Dilip & Steiner Neto, Pedro José & Scarpin, Cassius Tadeu & Rui Figueira, José, 2015. "Multi-objective optimization in partitioning the healthcare system of Parana State in Brazil," Omega, Elsevier, vol. 52(C), pages 53-64.
    7. N/A, 1993. "Letters to the Editor," Environment and Planning A, , vol. 25(3), pages 437-440, March.
    8. Tao Zhuolin & Zheng Qingjing & Kong Hui, 2018. "A Modified Gravity p-Median Model for Optimizing Facility Locations," Journal of Systems Science and Information, De Gruyter, vol. 6(5), pages 421-434, October.
    9. Brunelli, Matteo & Ditta, Chiara Caterina & Postorino, Maria Nadia, 2023. "New infrastructures for Urban Air Mobility systems: A systematic review on vertiport location and capacity," Journal of Air Transport Management, Elsevier, vol. 112(C).
    10. Righini, Giovanni, 1995. "A double annealing algorithm for discrete location/allocation problems," European Journal of Operational Research, Elsevier, vol. 86(3), pages 452-468, November.
    11. Rolland, Erik & Schilling, David A. & Current, John R., 1997. "An efficient tabu search procedure for the p-Median Problem," European Journal of Operational Research, Elsevier, vol. 96(2), pages 329-342, January.
    12. Faustino, Fausta J. & Lopes, José Calixto & Melo, Joel D. & Sousa, Thales & Padilha-Feltrin, Antonio & Brito, José A.S. & Garcia, Claudio O., 2023. "Identifying charging zones to allocate public charging stations for electric vehicles," Energy, Elsevier, vol. 283(C).
    13. Anna Franceschetti & Ola Jabali & Gilbert Laporte, 2017. "Continuous approximation models in freight distribution management," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 413-433, October.
    14. Ashu Kedia & Diana Kusumastuti & Alan Nicholson, 2019. "Establishing Collection and Delivery Points to Encourage the Use of Active Transport: A Case Study in New Zealand Using a Consumer-Centric Approach," Sustainability, MDPI, vol. 11(22), pages 1-23, November.
    15. Vladimir Marianov & Daniel Serra, 2000. "Location models for airline hubs behaving as M/D/c queues," Economics Working Papers 453, Department of Economics and Business, Universitat Pompeu Fabra.
    16. Robert Cromley & Dean Hanink, 2008. "Population growth and the development of a central place system," Journal of Geographical Systems, Springer, vol. 10(4), pages 383-405, December.
    17. Erhan Erkut & Tony Myroon & Kevin Strangway, 2000. "TransAlta Redesigns Its Service-Delivery Network," Interfaces, INFORMS, vol. 30(2), pages 54-69, April.
    18. J Brimberg & P Hansen & G Laporte & N Mladenović & D Urošević, 2008. "The maximum return-on-investment plant location problem with market share," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 399-406, March.
    19. Mahmutogullari, Ali Irfan & Kara, Bahar Y., 2016. "Hub location under competition," European Journal of Operational Research, Elsevier, vol. 250(1), pages 214-225.
    20. Jackson, Laura E. & Rouskas, George N. & Stallmann, Matthias F.M., 2007. "The directional p-median problem: Definition, complexity, and algorithms," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1097-1108, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envira:v:28:y:1996:i:12:p:2139-2154. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.