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Ecology, management and conservation in natural and modified habitats
RESEARCH ARTICLE

Measuring female aggregation in ungulate mating-system research: a red deer case study

Javier Pérez-González A D , Juan Carranza A B and Vicente Polo C
+ Author Affiliations
- Author Affiliations

A Biology and Ethology, University of Extremadura, 10071 Cáceres, Spain.

B Present address: Ungulate Research Unit, CRCP, University of Córdoba, 14071 Córdoba, Spain.

C Departamento de Biología y Geología, Escuela Superior de Ciencias Experimentales y Tecnología, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain.

D Corresponding author. Email: jpergon@unex.es

Wildlife Research 37(4) 301-310 https://doi.org/10.1071/WR09033
Submitted: 20 March 2009  Accepted: 14 May 2010   Published: 28 June 2010

Abstract

Context. Mating systems are of central importance to the operation of sexual selection, with consequences for evolution and for the maintenance of genetic diversity. Female aggregation is one of the most important elements of mating systems because female distribution can influence the degree of polygyny. Measuring female aggregation requires finding the scale for the distribution pattern. Several spatial methods can be used to determine the scale of a point pattern; however, only one of them has been applied to mating-system research.

Aims. Here, we assess three different spatial methods to determine the best one in finding the scale of female distribution for female-aggregation measures in a mating-system context.

Methods. We describe and compare the spatial methods by applying them to 30 Iberian red deer (Cervus elaphus hispanicus) populations. We use spatial analyses for point patterns.

Key results. Ripley’s K analysis was found to be the best method for determining the scale of female distribution and for quantifying female-aggregation parameters in our populations.

Conclusions. Ripley’s K analysis, a distance method based on circles centred in individuals and that is widely used in ecological studies, allows the estimation of female aggregation and, hence, it can be used to measure sexual selection.

Implications. This work describes the use of a distance method that can be applied to mating-system research (at least for ungulate populations) to obtain models with behavioural and evolutionary implications.


Acknowledgements

We thank Andrea Taylor and two anonymous reviewers for comments on the manuscript. We also thank owners and managers of hunting estates for permissions and facilities for field work. Junta de Extremadura and Junta de Andalucía offered us permissions and maps of the study area. Financial support was from project CGL2007-63594 from Spanish Ministry of Science. Javier Pérez-González is supported by the Autonomic Government of Extremadura: POS09020.


References

Apollonio, M. , Festa-Bianchet, M. , Mari, F. , Mattioli, S. , and Sarno, B. (1992). To lek or not to lek: mating strategies of male fallow deer. Behavioral Ecology 2, 66–75.
Bailey T. C. , and Gratell A. C. (1995). ‘Interactive Spatial Data Analysis.’ (Longman Scientific and Technical: Harlow, UK.)

Bekkevold, D. , Hansen, M. M. , and Loeschcke, V. (2002). Male reproductive competition in spawning aggregations of cod (Godus morhua, L.). Molecular Ecology 11, 91–102.
Crossref | GoogleScholarGoogle Scholar | CAS | PubMed | Carranza J. (2000). Environmental effects on the evolution of mating systems in endotherms. In ‘Vertebrate Mating Systems’. (Eds M. Apollonio, M. Festa-Bianchet and D. Mainardi.) pp. 106–139. (World Scientific: Singapore.)

Carranza, J. , and Valencia, J. (1999). Red deer females collect on male clumps at mating areas. Behavioral Ecology 10, 525–532.
Crossref | GoogleScholarGoogle Scholar | Clutton-Brock T. H. , Guinness F. E. , and Albon S. D. (1982). ‘Red Deer. Behaviour and Ecology of Two Sexes.’ (Edinburgh University Press: Edinburgh.)

Clutton-Brock, T. H. , Rose, K. E. , and Guinness, F. E. (1997). Density-related changes in sexual selection in red deer. Proceedings of the Royal Society of London Series B. Biological Sciences 264, 1509–1516.
Crossref | GoogleScholarGoogle Scholar | CAS | Dale M. R. T. (1999). ‘Spatial pattern analysis in plant ecology.’ (Cambridge University Press: Cambridge, UK.)

Davies N. B. (1991). Mating systems. In ‘Behavioural Ecology: An Evolutionary Approach’. (Eds J. R. Krebs and N. B. Davies.) pp. 263–294. (Blackwell Scientific Publications: Oxford.)

Diggle P. (2003). ‘Statistical Analysis of Spatial Point Patterns.’ 2nd edn. (Arnold: London.)

Dobson A. , and Poole J. (1998). Conspecific aggregation and Conservation Biology. In ‘Biological Ecology and Conservation Biology’. (Ed. T. Caro.) pp. 193–208. (Oxford University Press: Oxford, UK.)

Emlen, S. T. , and Oring, L. W. (1977). Ecology, sexual selection and the evolution of mating systems. Science 197, 215–223.
Crossref | GoogleScholarGoogle Scholar | CAS | PubMed | Fa J. E. , and Peres C. A. (2001). Game vertebrate extraction in African and Neotropical forest: an intercontinental comparison. In ‘Conservation of Exploited Species’. (Eds J. D. Reynolds, G. M. Mace and K. H. Redford.) pp. 203–256. (Oxford University Press: Oxford.)

Fortin, M. J. (1999). Effects of sampling unit resolution on the estimation of spatial autocorrelation. Ecoscience 6, 636–641.
Geist V. (1982). Adaptive behavioural strategies. In ‘Elk of North America: Ecology and Management’. (Eds J. W. Thomas and D. E. Toweill.) pp. 219–277. (Stackpole Books: Harrisburg, PA.)

Gibson, R. M. , and Guinness, F. E. (1980). Behavioural factors affecting male reproductive success in red deer (Cervus elaphus). Animal Behaviour 28, 1163–1174.
Crossref | GoogleScholarGoogle Scholar | Okabe A. , Boots B. , and Sugihara K. (1992). ‘Spatial Tessellations: Concepts and Applications of Voronoi Diagrams.’ (Wiley: New York.)

Orians, G. H. (1969). On the evolution of mating systems in birds and mammals. American Naturalist 103, 589–603.
Crossref | GoogleScholarGoogle Scholar | Ripley B. D. (1981). ‘Spatial Processes.’ (Wiley: New York.)

Rosenberg M. S. (2001). ‘PASSAGE. Pattern Analysis, Spatial Statistics, and Geographic Exegesis. Version 1.0.’ (Department of Biology, Arizona State University: Tempe, AZ.)

San José, C. , and Braza, F. (1997). Ecological and behavioural variables affecting the fallow deer mating system in Doñana. Ethology Ecology and Evolution 9, 133–148.
Shuster S. M. , and Wade M. J. (2003). ‘Mating Systems and Strategies.’ (Princeton University Press: Princeton, NJ.)

Thioulouse, J. , Chessel, D. , Dolédec, S. , and Olivier, J. M. (2001). ADE-4: a multivariate analysis and graphical display software. Statistics and Computing 7, 75–83.
Crossref | GoogleScholarGoogle Scholar |

Wade, M. J. (1995). Mean crowding and sexual selection in resource polygynous mating systems. Evolutionary Ecology 9, 118–124.
Crossref | GoogleScholarGoogle Scholar |

Wiegand, T. , and Moloney, K. A. (2004). Rings, circles, and null-models for point pattern analysis in ecology. Oikos 104, 209–229.
Crossref | GoogleScholarGoogle Scholar |