References
- Allen, Benjamin, Mark Kon, and Yaneer Bar-Yam. 2009. “A New Phylogenetic Diversity Measure Generalizing the Shannon Index and its Application to Phyllostomid Bats.” The American Naturalist 174 (2): 236–243.
- Audi, Robert. 2007. Moral Value and Human Diversity. New York: Oxford University Press.
- Barker, Allen L., and Worthy N. Martin. 2000. “Dynamics of a Distance-Based Population Diversity Measure.” Proceedings of the IEEE Congress of Evolutionary Computation: 1002–1009.
- Barker, Gary M. 2002. “Phylogenetic Diversity: A Quantitative Framework for Measurement of Priority and Achievement in Biodiversity Conservation.” Biological Journal of the Linnean Society 76 (2): 165–194.
- Bervoets, Sebastian, and Nicolas Gravel. 2007. “Appraising Diversity with an Ordinal Notion of Similarity: An Axiomatic Approach.” Mathematical Social Sciences 53 (3): 259–273.
- Bossert, Walter, Prasanta K. Pattanaik, and Yongsheng Xu. 2003. “Similarity of Options and the Measurement of Diversity.” Journal of Theoretical Politics 15 (4): 405–422.
- Chao, Anne, Chun-Huo Chiu, and Lou Jost. 2010. “Phylogenetic Diversity Measures Based on Hill Numbers.” Philosophical Transactions of the Royal Society B: Biological Sciences 365 (1558): 3599–3609.
- Connell, Joseph H., and Eduardo Orias. 1964. “The Ecological Regulation of Species Diversity.” American Naturalist 98 (903): 399–414.
- Crocker, Lawrence. 1980. Positive Liberty: An Essay in Normative Political Philosophy. Hague: Martinus Nijhoff Publishers.
- Crowder, George. 2007. Theories of Multiculturalism: An Introduction. Cambridge: Polity.
- Daly, Aisling J., Jan M. Baetens, and Bernard De Baets. 2018. “Ecological Diversity: Measuring the Unmeasurable.” Mathematics 6 (7): 119–147.
- Dowden, Chris. 2011. “A New Axiomatic Approach to Diversity.” Computing Research Repository.
- Eddington, Arthur. 1914. Stellar Movements and the Structure of the Universe. London: Macmillan.
- Eiswerth, Mark E., and Christopher J. Haney. 1992. “Allocating Conservation Expenditures: Accounting for Inter-Species Genetic Distinctiveness.” Ecological Economics 5 (3): 235–249.
- Enflo, Karin. 2012. “Measures of Freedom of Choice.” Diss., Uppsala University, Uppsala.
- Enflo, Karin. 2020. Measures of Similarity.” Theoria 86 (1): 73–99.
- Faith, Daniel P. 1992. “Conservation Evaluation and Phylogenetic Diversity.” Biological Conservation 61 (1): 1–10.
- Fisher, Ronald A. 1919. “The Correlation Between Relatives on the Supposition of Mendelian Inheritance.” Earth and Environmental Science Transactions of the Royal Society of Edinburgh 52 (2): 399–433.
- Fréchet, Maurice. 1910. “Les Dimensions D'un Ensemble Abstrait.” Mathematische Annalen 68 (2): 145–168.
- Ganeshaiah, K. N., K. Chandrashekara, and A. R. V. Kumar. 1997. “Avalanche Index: A New Measure of Biodiversity Based on Biological Heterogeneity of the Communities.” Current Science 73 (2): 128–133.
- Glaeser, Georges. 1963. “Fonctions Composées Différentiables.” Annals of Mathematics 77 (1): 193–209.
- Gravel, Nicolas. 2009. “What is Diversity?” In Economics, Rational Choice and Normative Philosophy, edited by Thomas A. Boylan, and Ruvin Gekker, 15–55. London: Routledge.
- Gustafsson, Johan E. 2010, “Freedom of Choice and Expected Compromise.” Social Choice and Welfare 35 (1): 65–79.
- Hartley, Ralph V. L. 1928. “Transmission of Information.” Bell System Technical Journal 7 (3): 535–563.
- Hashemi, Vahid, and Ulle Endriss. 2014. “Measuring Diversity of Preferences in a Group.” ECAI'14: Proceedings of the Twenty-first European Conference on Artificial Intelligence: 423–428.
- Helmus, Matthew R., Thomas J. Bland, Christopher K. Williams, and Anthony R. Ives. 2007. “Phylogenetic Measures of Biodiversity.” The American Naturalist 169 (3): E68–E83.
- Hubálek, Zdenek. 2000. “Measures of Species Diversity in Ecology: An Evaluation.” Folia Zoologica 49 (4): 241–269.
- Izsák, János, and László Papp. 2000. “A Link Between Ecological Diversity Indices and Measures of Biodiversity.” Ecological Modelling 130 (1–3): 151–156.
- Jost, Lou. 2008. “Mismeasuring Biological Diversity: Response to Hoffmann and Hoffmann.” Ecological Economics 68 (4): 925–928.
- Junge, Kenneth. 1978. “A General Parametric Model of Similarity and Subjective Difference.” Scandinavian Journal of Psychology 19 (1): 111–119.
- Junge, Kenneth. 1994. “Diversity of Ideas About Diversity Measurement.” Scandinavian Journal of Psychology 35 (1): 16–26.
- Justus, James, et al. 2011. “A Case Study in Concept Determination: Ecological Diversity.” In Philosophy of Ecology, edited by Bryson Brown, 147–168. Amsterdam: North-Holland.
- Kempton, Rob A. 1979. “The Structure of Species Abundance and Measurement of Diversity.” Biometrics 35 (1): 307–321.
- Kreutz-Delgado, Kenneth, and Bhaskar D. Rao. 1999. “Sparse Basis Selection, ICA, and Majorization: Towards a Unified Perspective.” 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing Proceedings 2: 1081–1084.
- Lacevic, Bakir, Samim Konjicija, and Zikrija Avdagic. 2007. “Population Diversity Measure Based on Singular Values of the Distance Matrix.” Proceedings of the 2007 IEEE Congress on Evolutionary Computation: 1863–1869.
- Lacevic, Bakir, and Edoardo Arnaldi. 2010. “On Population Diversity Measures in Euclidean Space.” Proceedings of the 2010 IEEE Congress on Evolutionary Computation: 1–8.
- Laxton, R. R. 1978. “The Measure of Diversity’.” Journal of Theoretical Biology 70 (1): 51–67.
- Leinster, Tom, and Christina A. Cobbold. 2012. “Measuring Diversity: The Importance of Species Similarity.” Ecology 93 (3): 477–489.
- Lloyd, Monte, and Raymond J. Ghelardi. 1964. “A Table for Calculating the ‘Equitability’ Component of Species Diversity.” Journal of Animal Ecology 33 (2): 217–225.
- Mason, Norman W. H., Kit MacGillivray, John B. Steel, and J. Bastow Wilson. 2003. “An Index of Functional Diversity.” Journal of Vegetation Science 14 (4): 571–578.
- McIntosh, Robert P. 1967. “An Index of Diversity and the Relation of Certain Concepts to Diversity.” Ecology 48 (3): 392–404.
- Morrison, Ronald W., and Kenneth A. De Jong. 2002. “Measurement of Population Diversity .” Selected Papers from the 5th European Conference on Artificial Evolution 2001: 31–41.
- Nehring, Klaus, and Clemens Puppe. 2002. “A Theory of Diversity.” Econometrica 70 (3): 1155–1198.
- Nehring, Klaus, and Clemens Puppe. 2003. “Diversity and Dissimilarity in Lines and Hierarchies.” Mathematical Social Sciences 45 (2): 167–183.
- Page, Scott E. 2007. The Difference: How the Power of Diversity Creates Better Groups, Firms, Schools, and Societies. Princeton: Princeton University Press.
- Page, Scott E. 2010. Diversity and Complexity. Princeton: Princeton University Press.
- Patil, Ganapati, and Charles Taillie. 1982. “Diversity as a Concept and Its Measurement.” Journal of the American Statistical Association 77 (379): 548–561.
- Pattanaik, Prasanta K., Yongsheng Xu, et al. 2008. “Ordinal Distance, Dominance and the Measurement of Diversity.” In Rational Choice and Social Welfare: Theory and Applications, edited by Prasanta K. Pattanaik, 259–269. Berlin and Heidelberg: Springer Verlag.
- Pearson, Karl. 1894. “Contributions to the Mathematical Theory of Evolution.” Philosophical Transactions of the Royal Society of London A 185: 71–110.
- Petchey, Owen Leonard, and Kevin J. Gaston. 2002. “Functional Diversity (FD), Species Richness, and Community Composition.” Ecology Letters 5 (3): 402–411.
- Pratt, John W. 1964. “Risk Aversion in the Small and in the Large.” Econometrica 32 (1): 122–136.
- Rao, C. Radhakrishna. 1982. “Diversity: Its Measurement, Decomposition, Apportionment and Analysis.” Sankhyā: The Indian Journal of Statistics, Series A 44 (1): 1–22.
- Rényi, Alfred. 1961. “On Measures of Entropy and Information.” Proceedings of the 4th Berkeley Symposium on Mathematics, Statistics and Probability 1960: 547–561.
- Ricotta, Carlo. 2004. “A Parametric Diversity Measure Combining the Relative Abundances and Taxonomic Distinctiveness of Species.” Diversity and Distribution 10 (2): 143–146.
- Ricotta, Carlo, and G. C. Avena. 2003. “An Information-Theoretical Measure of Taxonomic Diversity.” Acta Biotheoretica 51 (1): 35–41.
- Russell, Bertrand. 1903. Principles of Mathematics. Cambridge: Cambridge University Press.
- Shannon, Claude E., and Warren Weaver. 1949. Mathematical Theory of Communications. Urbana: University of Illinois Press.
- Shepard, Roger. 1958. “Stimulus and Response Generalization: Tests of a Model Relating Generalization to Distance in Psychological Space.” Journal of Experimental Psychology 55 (6): 509–523.
- Shi, Yuhui, and Russell C. Eberhart. 2008. “Population Diversity of Particle Swarms.” Proceedings of the 2008 IEEE Congress on Evolutionary Computation: 1063–1067.
- Shimatani, Kenichiro. 2001. “On the Measurement of Species Diversity Incorporating Species Differences.” Oikos 93 (1): 135–147.
- Simpson, Edward H. 1949. “Measurement of Diversity.” Nature 163 (4148): 688.
- Solow, Andrew, Stephen Polasky, and James Broadus. 1993. “On the Measurement of Biological Diversity.” Journal of Environmental Economics and Management 24 (1): 60–68.
- Solow, Andrew, and Stephen Polasky. 1994. “Measuring Biological Diversity.” Environmental and Ecological Statistics 1 (2): 95–107.
- Stevens, Stanley Smith. 1946. “On the Theory of Scales of Measurement.” Science 103 (2684): 677–680.
- Stirling, Andy. 2007. “A General Framework for Analysing Diversity in Science, Technology and Science.” Journal of the Royal Society Interface 4 (15): 707–719.
- Suppes, Patrick, Joseph L. Zinnes, et al. 1963. “Basic Measurement Theory.” In Handbook of Mathematical Psychology, edited by R. Duncan Luce, 1–76. Hoboken, NJ: John Wiley and Sons.
- Ursem, Rasmus K. 2002. “Diversity-Guided Evolutionary Algorithms.” Proceedings of the International Conference on Parallel Problem Solving from Nature VII: 462–474.
- Van Hees, Martin. 2004. “Freedom of Choice and Diversity of Options: Some Difficulties.” Social Choice and Welfare 22 (1): 253–266.
- Vane-Wright, Richard I., Christopher J. Humphries, and Paul H. Williams. 1991. “What to Protect? – Systematics and the Agony of Choice.” Biological Conservation 55 (3): 235–254.
- Walker, Brian, Ann Kinzig, and Jenny Langridge. 1999. “Plant Attribute Diversity, Resilience, and Ecosystem Function: The Nature and Significance of Dominant and Minor Species.” Ecosystems 2 (2): 95–113.
- Warwick, Richard, and K. Robert Clarke. 1995. “New ‘Biodiversity’ Measures Reveal a Decrease in Taxonomic Distinctness with Increasing Stress.” Marine Ecology Progress Series 129 (1–3): 301–305.
- Weikard, Hans-Peter, Maarten Punt, and Justus Wesseler. 2006. “Diversity Measurement Combining Relative Abundances and Taxonomic Distinctiveness of Species.” Diversity and Distribution 12 (2): 215–217.
- Weirich, Paul. 1983. “Utility Tempered with Equality.” Noûs 17 (2): 423–439.
- Weitzman, Martin L. 1992. “On Diversity.” Quarterly Journal of Economics 107 (2): 363–405.
- Wen, Jinyu, Shaorong Wang, and Shjie Cheng. 1998. “Measurement Based Power System Load Modeling Using a Population Genetic Algorithm.” POWERCON'98. 1998 International Conference on Power System Technology. Proceedings 1: 771–775.
- Wineberg, Mark, and Franz Oppacher. 2003. “The Underlying Similarity of Diversity Measures Used in Evolutionary Computation.” Genetic and Evolutionary Computation Conference: 1493–1504.