BOOKS

[1]Cannings,C. and E.A.Thompson. (1981) Genealogical and Genetic Structure. Cambridge University Press.

PAPERS

2015

[137]Broom M & Cannings C. (2015) Graphic Deviations. Discrete Mathematics, 338,701-711.

2014

[136] Cannings C. (2014) Combinatorial Aspects of Parker's Model. Discrete Games and Applications, 5, 263-274.

2013

[135]Cannings C \& J Jordan. (2013) Random walks and preferential attachment.Electronic Communications in Probability,18,1-5.

[134] Southwell R \& Cannings C. (2013) Exploring the space of substitution systems. Complex Systems, 22

[133]Cannings C & Cannings R. (2013)Absence of pure Nash equilibria in a class of Co-ordination Games. In Press} Statistics, Optimisation and Information Computing,1,1-7.

[132]Southwell R, Jianwei Huang & Cannings C. (2013) Complex Networks from Simple Rules. Complex Systems, 22

[131]Broom M & Cannings C.(2013) Evolution of a Network with strategic link formation governed by indivdual preferences. {In Press} J. Theoret. Biol.

[130]Southwell R \& Cannings C.(2013) Best Response Games on Regular Graphs Applied Mathematics,4,950-962.

[129]Cannings,C.(2013) The Stationary Distributions of a Class of Markov Chains. Applied Mathematics,4,769-773.

[128] Cannings C. (2013) The stationary distribution of a class of Markov chains. Applied Maths. 4, 769-773.

2012

[127]Mitavski B., Rowe J & Cannings C. (2012) A version of Geiringer-like theorems for decision making in the environments with randomness and incomplete information. Int. J. Intel. Comp. & Cyber.,5,36-90.

2010

[126]Southwell R., Cannings C. (2010) Some models of reproducing graphs: III Game based reproduction. Applied Maths., 1, 335-343.

Access the paper

[125]Southwell R., Cannings C. (2010) Some models of reproducing graphs: II Age capped vertices. Applied Maths., 1, 251-233.

[124]Southwell R., Cannings C. (2010) Some models of reproducing graphs: I Pure Reproduction. Applied Maths., 1, 137-145.

2009

[123]Cannings C. (2009) The majority game on regular and random nerworks. International Conference on Game Theory for Networks, 2009. GameNets pp.i=xvi. [122]Southwell R., Cannings C. (2009) Games on graphs that grow deterministically, International Conference on Game Theory for Networks, 2009. GameNets pp.347-356.

[121]Mitavskiy, B., Cannings, C. (2009) Estimating the ratios of the stationary distribution values for Markov chains modeling evolutionary algorithms. \textit{Evolutionary Computation,17,343-377}.

[120]Mitavskiy, B., Rowe, J., Cannings, C. (2009) Theoretical analysis of local search strategies to optimize communication subject to preserving the total number of links. \textit{Int.J.Intelligent Computing and Cybernetics,2,243-284.}

[119]Chrysafis O, Cannings C. (2009) Weighted self-similar networks under preferential attachment. \textit{Physica A, 388, 2965-2974}

2008

[118]Rowe, J., Mitavskiy, B., Cannings, C. (2008) Propagation Time in Stochastic Communication Networks. \textit{Second IEEE International Conference on Digital Ecosystems and Technologies} pages 426-431 (see also \textit{arXiv:math/0608561}).

[117]Mitavskiy, B., Rowe, J., Cannings, C. (2008) Preliminary Theoretical Analysis of a Local Search Algorithm to Optimize Network Communication Subject to Preserving the Total Number of Links. \textit{IEEE Congress on Evolutionary Computing, 1484-1491}.

[116]Boris Mitavskiy and Chris Cannings (2008) Evaluating Stationary Distribution of the Binary GA Markov Chain in Special Cases. \textit{Proceedings of the Schloss Dagstuhl Seminar in ``Theory of Evolutionary Algorithms"}

2007

[115]Vikrant Deshmukh, Chris Cannings, and Alun Thomas (2006) Estimating the parameters of a model for protein-protein interaction graphs. Math Med Biol 23: 279-295.

[114]Cannings C and Thomas AW (2007). Inference, Simulation and Enumeration of Genealogies. In Handbook of Statistical Genetics, 3rd Edition, pp 781-805. Ed. Balding D, Bishop MJ and Cannings C Wileys, Chichester,UK.

[113]Mitavskiy, B. Cannings, C. (2007) An Improvement of the ``Quotient Construction" Method and Further Asymptotic Results on the Stationary Distribution of the Markov Chains Modeling Evolutionary Algorithms. \textit{2007 IEEE Congress on Evolutionary Computation} pages: 2606-2613.

2006

[112]Chen H, Wilkins LM, Aziz N, Cannings C, +8 others, Kornman K and Duff GW (2006) Single nucleotide polymorphisms in the human interleukin-1b gene affects transcription according to haplotype context. Human Mol Genetics.

[111]Cannings C (2006) Modelling protein-protein interaction networks from yeast-2-hybrid screens with random graphs. In {\it Statistics in Genomics and Proteomics} Ed. Urfer A, Turkman MA. Centro Internacional de Matematica, Coimbra.

[110]Cannings C (2006) Probabilities in genetics. Revstat., {\it In Press}.

2005

[109]Elizabeth J Minton, David Smillie, Paula Smith, Suzanne Shipley, Michael W McKendrick, Dermot C Gleeson, James C E Underwood, Christopher Cannings, Anthony G Wilson and the Trent Hepatitis C Study Group (2005) Clearance of Hepatitis C virus is not associated with SNPs in the IL-1, -6 or -10 genes. Human Immunology, 66, 127-132.

[108]Walters k and Cannings C. (2005) The probability density of the total IBD length over a single autosome in unilineal relationships. Theoret pop biol., 68,55-63.

2004

[107]Teare MD, Cox A, Shorto J, Anderson C, Bishop DT, Cannings C. (2004) Heterozygote excess is repeatedly observed in females at the BRCA2 locus N372H. J Med Gen, 41,523-528.

[106]Iles MM and Cannings C (2004) Sequential genotyping in TDT familiesTDT. IMA Mathematical Medicine \& Biology,21,115-127.

[105]Thomas AW and Cannings C (2004) Simulating realistic zero loop pedogrees using a bipartite Pr\"{u}fer code and graphical modelling. Mathematical Medicine \& Biology, 21,335-345.

2003

[104] Dimitropoulou P and Cannings C (2003). RECSIM and INDSTATS: Probabilities of Identity in General Genealogies. Bioinformatics, 19, 790-791.

[103]Haccou P, Glaizot O and Cannings C. (2003) Patch leaving strategies and superparasitism: an asymmetric war of attrition. J.theoret biol. 225,77-89.

[102]Thomas AW and Cannings C (2003) Enumeration and simulation of marriage node graphs on zero loop pedigrees. IMA journal Maths in Biology and Medicine. IMA Mathematical Medicine \& Biology, 20,261-275.

[101]Thomas A, Cannings RC, Monk NAM and Cannings C (2003) On the structure of protein-protein interaction networks. Biochem Soc Trans., 31 1491-1496.

[100]Cannings C (2003) The identity by descent process along the chromosome. Human Hered., 56, 126-130

[99]Iles MM, Walters K and Cannings C (2003) Recombination can evolve in large finite populations given selection on sufficient loci. Genetics, 165, 2249-2259.

2002

[98]Low,AS.,Azmy,I.,Sharaf,N.,Cannings,C.and Wilson,AG. (2002). Association between two tumour necrosis factor intronic polymorphisms and HLA alleles. European Journal of Immunology,29,31-34.

[97]Cannings C and Penman C.(2002) Random Graphs. In. {\it Stochastic processes:modelling and simulation}. Handbook of Statistics. 21, 51-91, Ed. C R Rao and D N Shanbhag, Elsevier.

[96]Broom,M.,and Cannings,C. (2002) Modelling Dominance Hierarchy formation as a Multi-Player Game.{J.theoret.Biol.},219,397-413.

[95]Cannings C and Sheehan NA (2002) On a misconception about irreducibility of the single-site Gibbs sampler in a pedigree application. Genetics,162,993-996.

[94]Low AS,Gonzales-Gay MA, Amos RS, Bax DE, Cannings C, Hajeer A, Till SH, Winfield J, Ollier WE, Wilson AG (2002) TNF+489 polymorphism does not contribute to susceptibility to rheumatoid arthritis. Clinical and Experimental Rheumatology, 20,829-832

[93]Read RC, Cannings C, Gregory SC, Timms JM, Borrow R, Maheswaren R, Kaczmarski EB, Duff GW. (2002) Variation within genes encoding Interleukin-1 and the Interleukin-1 Receptor Antagonist influence the severity of meningococcal disease. Annals of Internal Medicine, 138, 534-41.

2001

[92]Read RC, Pullin J, Borrow R, Kaczmarski EB, di Giovine F, Dower SK, Cannings C, Wilson AG.(2001) A functional polymorphism of Toll-like Receptor-4 is not associated with likelihood or severity of meningococcal disease. J.Infec.Dis. 184,640-642.

2000

[91]Broom,M., Cannings,C. and Vickers,G.T. (2000), Evolution in Knockout Conflicts. The Fixed Strategy Case. Bulletin of Mathematical Biology, 62, 451-466.

[90]Broom,M., Cannings,C. and Vickers,G.T. (2000), Evolution in Knockout Conflicts. The Variable Strategy Case. Selection, 1, 5-21.

89]Broom,M., C.Cannings, and G.T.Vickers.(2000). A sequential-arrivals model of territory acquisition.II J.theoret.Biol.,207, 389-403.

1999

[88]Fryer, T., Cannings, C. and Vickers, G.T. (1999) Sperm competition I: Basic model, ESS and dynamics. J.theoret.Biol.,196, 81-100.

[87]Fryer, T., Cannings, C. and Vickers, G.T. (1999) Sperm competition. II - Post-copulatory guarding. J.theoret.Biol.,197, 343-360.

[86]W.A.Khan, Hayhurst,D.R. and Cannings,C. (1999) Determination of optimal path under approach and exit constraints. Europ.J.Oper.Res.,117, 310-325.

[85]Camp, N.J., Cannings, C. and Sheehan, N.A. (1999) The number of genotypic assignments on a genealogy II. Further results for linear systems. IMA J Math Appl Med 16, 213-236.

[84]Cox, A., Camp, NJ., Cannings, C., di Giovine, FS, Dle, M., Worthington, J., John, S., Ollier, WER., Silman, AJ., and Duff, GW. (1999) Combined sib-TDT and TDT provide evidence for linkage of the interleukin-1 gene cluster to erosive rheumatoid arthritis. Human Molecular Genetics, 8, 1707-1713.

1998

[83]Cannings, C., (1998) Evolutionarily Stable Strategies. Encycl.Maths. Kluwer.

[82]Cannings, C. (1998) On the probabilities of identity states in permutable populations. Amer.J.Human.Genet.62,698-702.

1997

[81]Broom,M., Cannings,C. and Vickers,G.T. (1997) Multi-player matrix games. Bull.Math.Biol.,59, 931-952.

[80]Bansal,A., Cannings,C. and Sheehan,N. An evaluation of the application of the genetic algorithm to the problem of ordering genetic loci on human chromosomes using radiation hybrid data. IMA Journal of Mathematics Applied in Medicine and Biology,14,161-187.

[79]Anderson, C., Blackwell, P.G. and Cannings, C. (1997) Stochastic simulation of ants that forage by expectation. Fourth Int.Conf.Artificial Life. Ed.Husband,P and Harvey,I.,531-538. MIT Press, Lond.

[78]Broom,M., C.Cannings, and G.T.Vickers. (1997) A sequential-arrivals model of territory acquisition. J.theoret.Biol.189,257-272.

1996

[77]Broom,M., C.Cannings, and G.T.Vickers.(1996) Choosing a nest site: contests and catalysts. Am.Nat.,147,1108-1114.

[76]Bansal,A. and Cannings,C.(1996). Peeling through: A new technique for peeling complex genealogies. Proc.European Mathematical Genetics Meeting, Padova (1996), Pages 36-42. Ed. M.Clementi and P.Forabosco, Cooperativa Libraria Editorice Universita di Padova. Univ. of Padova Press.

[75]Camp,N.J., Cannings,C. and Knowler,W.C. (1996) The Gibbs sampler: an efficient method for the segregation analysis of NIDDM in the Pima. Proc.European Mathematical Genetics Meeting, Padova (1996), Pages 43-52. Ed. M.Clementi and P.Forabosco, Cooperativa Libraria Editorice Universita di Padova.

[74]Broom,M., Cannings,C. and Vickers,G.T. (1996) Some examples of multi-player game dynamics. Proc.European Mathematical Genetics Meeting, Padova (1996), Pages 105-114. Ed. M.Clementi and P.Forabosco, Cooperativa Libraria Editorice Universita di Padova. Univ. of Padova Press.

[73]Cannings,C., M.Broom, and G.T.Vickers. (1996) ESS's and cyclic tournaments. Math.Biosc., 136, 21-34.

1995

[72]A.P.Mander, Blackwell,P.G., and C.Cannings, (1995) Resource driven strategy conflict in 2-dimensions., J.theor.Biol.,177,17-28.

[71]Cannings,C., and Whittaker,J.C. (1995)Finite horizon war of attrition. Games and Economic Behaviour, 11, 193--236.

[70]Fletcher,R.,P.G.Blackwell, and C.Cannings. (1995). Modelling foraging behaviour of ant colonies. Lecture Notes in Artificial Intelligence, 929,772--783.

1994

[69]Cannings,C., M.J.Piff, and G.T.Vickers. (1994) Positive cones and Nash equilibrium. Proc.Roy.Soc.A.,444,583-589.

[68]Broom,M., C.Cannings, and G.T.Vickers. (1994) Sequential methods for generating patterns of ESS's. J.Math. Biol.,22,597--615.

[67]Whittaker,J.C. and C.Cannings. (1994). Multiple trial two strategy conflicts. J.Theoret.Biol.,169, 113--124.

[66]Whittaker,J.C. and C.Cannings. (1994). A resource allocation problem. J.Theoret.Biol.,167,397--405.

[65]Camp,N., Cannings,C. and Sheehan,N. (1994). The number of genotypic assignments on a genealogy 1. The method and simple examples. IMA Journal of Mathematics Applied in Medicine and Biology,11,95--106.

[64]Bansal,A., Bishop, D.T. and Cannings,C. (1994). An investigation to assess the existence of clusters of cancer-types in nine breast/ovarian cancer families. Genetic Analysis Workshop. Genetic Epidemiology, 12,841--846.

1993

[63]Cannings,C., J.P.Tyrer, and G.T.Vickers. (1993) Routes to polymorphism. (1994).Proc.Roy.Soc., J.Theoret.Bil.,165,213-223.t

[62]Broom,M., C.Cannings, and G.T.Vickers. (1993) On the number of maxima of a constrained quadratic form. Proc.Roy.Soc.A,443,573-584.

[61]Cannings,C., V.C.L.Hutson, and G.T.Vickers. (1993) The evolution of spatial diffusion. IMA Journal of Mathematics Applied in Medicine and Biology, 10, 169--177.

1992

[60]Cannings,C. and J.Haigh. (1992) Montreal solitaire. J.Comb.Theory, A, 60, 50--66.

[59] Marrow,P., R.Law, and C.Cannings. (1992) Coevolution of predator -prey systems. ESS's and red-queen dynamics. Proc.Roy.Soc.Lond.B, 250,133--141.

[58]Marrow,P. and C.Cannings.(1992) Evolutionary instability in predator-prey systems. J.Theoret.Biol.,160,135--150.

[57]Lewis,C.M. and C.Cannings. (1992) The number of loci needed for ELOD calculations. Ann.Hum.Genet.,56,59-69.

1990

[56]Cannings,C. Topics in the theory of Conflicts. (1990) NATO Advanced Studies Institute. Montreal 1987. In {\it Mathematical and Statistical Developments of Evolutionary Theory}, Ed. Sabine Lessard. Khwer, London.

[55]Cannings,C. and J.C.Whittaker. (1990) Two-trial Two-strategy Conflict. J.Theoret.Biol., 149, 281--286.

>

1989

Cannings,C. and G.T. Vickers. (1989) Patterns and Invasions of Evolutionarily Stable Strategies. Appl. & Comp. Mathematics, 96, 201--227.

[54]Cannings,C. and G.T. Vickers. (1989) The genealogy of patterns. Selected Proceedings of the Symposium on Applied Probability, Sheffield 1989. IMS, 18,193 - 204.

1988

[53]Vickers,G.T. and C.Cannings. (1988) On the number of stable equilibria in a one-locus multi-allelic system. J.Theoret.Biol., 131, 273--277.

[52]Vickers,G.T. and C.Cannings. (1988) Patterns of ESS's. I., J.Theoret.Biol., 132, 387--408.

[51]Cannings,C. and G.T.Vickers. (1988) Patterns of ESS's. II., J.Theoret.Biol., 132, 409--420.

[50]Haigh,J. and C.Cannings. (1988) The n-person War of Attrition. In Evolution and Control in Biological Systems. Eds. A.B. Kurzhanski & K. Sigmund. Kluver, Dordricht, 59--74.

1987

[49]Biggins,J.D. and C. Cannings. (1987) Markov renewal processes, counters and repeated sequences in Markov chains. Adv.Appl.Prob., 19, 521--545.

[48]Biggins,J.D. and C. Cannings. (1987) Formulae for mean restriction fragment lengths and related quantities. Amer.J.Hum.Genet., 41, 258--265.

[47]Cannings,C. and R. Law. (1987) Conditions for the initial increase of new alleles with frequency dependent selection. J.Math.Biol., 25, 465--476.

[46]Vickers,G.T. and C. Cannings. (1987) On the definition of an Evolutionary Stable Strategy. J.Theoret.Biol., 129, 349--353.


1986

[45]Cannings,C. and Bishop,D.T. (1986) Ordinal conflicts with random rewards. J.Theoret.Biol., 122. 225-230.

1984

[44]Law,R. and C. Cannings. (1984) Genetic analysis of conflicts arising during development of seeds in the Angiospermophyta. Proc.R.Soc.Lond., B, 221, 53--70.

1983

[43]Williamson,J.A., C. Cannings, D.T.Bishop and M.H. Skolnick. (1983) The number of polymorphic DNA clones required to map the human genome. In Statistical Analysis of DNA Sequence Data. Ed. Bruce Weir, 181--200.

[42]Bishop, D.T., Cannings,C., Skolnick, M.H., Hasstedt, S.(1983). The impact of RFLP's on human gene mapping. Proceedings of 'Genetic Epidemiology of Coronary Heart Disease'. Ed. D.C. Rao, 171--191.

1980

[41]Cannings,C., E.A. Thompson and M.H.Skolnick. (1980) Pedigree Analysis of Complex Models. In Current Developments in Anthropological Genetics. (Eds. J.Mielke and M. Crawford), 251--298.

[40]Cannings,C. and D.Gardiner. (1980) A dynamic programming approach to evolutionary stable strategy theory. Adv.Appl.Prob., 12, 3--5.

1979

[39]Cannings,C., E.A.Thompson and M.H. Skolnick. (1979) Extension of pedigree analysis to include assortive mating and linear moels. Proceedings of the Workshop on the Genetics of Common Diseases: Applications to Predictive Factors in Coronary Disease. Eds. C. Sing and M.H. Skolnick. Alan R. Liss, Inc., NY , 407--415.

[38]Thompson,E.A. and C. Cannings. (1979) Sampling schemes and ascertainment. Proceedings of the Workshop on the Genetics of Common Diseases: Applications to Predictive Factors in Coronary Disease. Eds. C. Sing and M.H.Skolnick. Alan.R.Liss, Inc., NY. 363--382.

[37]Skolnick,M.H., K.Kravitz, C.Cannings, D. Carmelli, B. Baty, B. Amos, A. Johnson, N. Mendell, C.Edwards and G. Cartwright. (1979) Genetic Linage between Hereditary Hemochromatosis and HLA. Am.J.Hum.Genet., 31, 601--619.

1978

[36]Bishop,D.T. and C.Cannings. (1978) A generalized war of attrition. J.Theoret.Biol., 70, 85--125.

[35] Skolnick,M.H., C.Cannings and K. de Nevers. POPART. A Human Population Microsimulation. Department of Medical Biophysics and Computing, University of Utah, Technical Report No.2. (131 pages).

Kravitz,K. M.H.Skolnick, C. Edwards, G. Cartwright, C. Cannings, B. Amos, D.Carmelli and B. Baty. Pedigree analysis of the linkage between HLA and Hemachromatosis. Proceedings of the Conference on Genetic Epidemiology, Hawaii. (N.E. Morton and C.S. Chung, Eds.)

[34]Bishop,D.T. and C.Cannings. (1978) A simulation package for general genetic systems. Department of Medical Biophysics and Computing, University of Utah, Technical Report No.13 (60 pages).

[33Thompson,E.A., C.Cannings and M.H. Skolnick. (1978) Ancestral Inference. I. The problem and the method. Ann.Hum.Genet., 42,95--108.

[32]Bishop,D.T., C. Cannings and J.Maynard Smith. (1978) The war of attrition with random rewards. J.Theoret. Biol. 74, 377--388.

Bishop,D.T., C. Cannings and J.Maynard Smith. (1990) The war of attrition with random rewards. In {\it Evolution und Spieltheorie}. Ed. U. Mueller, Oldenbourg, Munich, 155--168.

1976

[31] Cannings,C. , E.A. Thompson and M.H. Skolnick. (1976) The recursive derivation of likelihoods on complex pedigrees. Adv.Appl.Prob., 8, 622--625.

[30] Bishop,D.T. and C.Cannings. (1976) Models of animal conflict. Adv.Appl.Prob., 8, 616--621.

[29] Cannings,C. and Thompson,E.A. (1976) Ascertainment in the sequential sampling of pedigrees. Clinical Genetics, 12, 208-212.

1975

[28] Cannings,C. (1975) Certain graphs arising in genetics'. Math.Spectrum, 7, 46--52.

[27] Cannings,C. and M.H.Skolnick. (1975) Rates of drift for certain exogamous marriage systems. Theoret.Pop.Biol., 7, 39--54.

[26] Cannings,C. (1975) The latent roots of certain Markov chains arising in genetics: A new approach II. Further haploid models'. Adv.Appl.Prob., 7, 264--282.

[25] Cannings,C. and M.H.Skolnick. (1975) Homostatic mechanism in human populations. A simulation. Proc.Int.Cong.Cybernetics and General Systems, 3, 1429--1439.

[24] Cannings,C. and L.Cruz Orive. (1975) Natural selection and the sex-ratio. Optimal sex-ratios. J.Theoret.Biol., 55, 115--136.

[23] Shridaran,K., C.Cannings, K. de Nevers, and M.H.Skolnick. (1975) A computer algorithm for calculation of risk factors and likelihoods for familial diseases. Department of Med.Bioph. & Com., University of Utah, Technical Report No.1 (80 pages).

[22] Shridaran,K., C.Cannings, K. de Nevers, and M.H.Skolnick. (1975) Calculation of risk factors and likelihoods for familial diseases. Comp.Biomed.Res., 9, 393--407.

1974

[21]Cannings,C. (1974) The latent roots of certain Markov chains arising in genetics; a new approach. 1. Haploid models. Adv.Appl.Prob., 6, 260--290.

[20] Cannings,C. (1974) Genetic drift with polygamy and arbitrary offspring distribution. J.Appl.Prob., 11, 633-641.

1973

[19] Cannings,C. (1973) An increasing fitness function for a population with many niches, Nature, 241, 47.

[18] Cannings,C. (1973) The equivalence of some overlapping and non-overlapping generation models for the study of genetic drift, J.Appl.Prob., 10 , 432--436.

[17] Skolnick,M.H. and C.Cannings. (1973) Simulation of primitive human populations, In Microsimulation of Human Populations, ed. J. MacCluer and H.Bennett-Dyke, 167--196, Plenum Press.

[16] Cannings,C. and L.L. Cavalli-Sforza. (1973) Human population structure. A review, Adv. in Human Genetics, 4, 105--171, Plenum Press.

1972

[15] Skolnick,M.H. and C.Cannings. (1972) Natural regulation of numbers in primitive human populations, Nature, 239, 287--288.

1968

[14] Cannings,C. (1971) Natural selection at a multi-allelic autosomal locus with many niches', J.Genet., 60 , 255--259.

[13] Skolnick,M.H., A.Moroni, C. Cannings and L.L. Cavelli-Sforza. (1971) The reconstruction of genealogies from parish records, In Mathematics and the Archaeological and Historical Sciences, ed. F. Hodson, D.G. Kendall and P.Tautu (Edinburgh University Press), 319--334.

1969

[12] Cannings,C. (1969) A theoretical discussion of Weinberg's rule on the zygosity of twins, Ann.Hum.Genet., (London), 32, 403--405.

[11] Cannings,C.and A.W.F.Edwards. (1969) Expected genotypic frequencies in a small sample: Deviations from Hardy- Weinberg equilibrium, Amer.J.Hum.Genet., 21, 245--247.

[10] Cannings,C. (1969) A note on the stability and convergence of genetic systems, Evolution, 23 , 517--518.

[9] Cannings,C. (1969) A graphical method for the study of complex genetical systems with special reference to equilibria. Biometrics, 25, 747-754.

[8] Cannings,C. (1969) Equilibrium, convergence and stability under unisexual selection of an autosomal locus', Genetics, 62 , 225--229.

[7] Cannings,C. (1969) The study of complex genetical systems by matrix methods', Genet.Res., 14 , 167--183.

1968

[6] Cannings,C. (1968) Fertility differences between homogamous and heterogamous matings, Genet.Res., 11 289--301.

[5] Cannings,C. and Cannings,M.R. (1968) Mongolism, delayed fertility and human sexual behaviour. Nature, 218, 81.

[4]Cannings,C. (1968) Equilibrium under selection at a multi-allelic sex- linked locus, Biometrics, 24, 187--189.

[3] Cannings,C. and A.W.F.Edwards.(1968) Natural selection and the de Finetti diagram, Ann.Hum.Genet., (London), 31, 421--428.

1967

[2]Cannings,C. (1967) Equilibrium, convergence and stability at a sex-linked locus under natural selection. Genetics, 56, 613-618.

1966

[1]Cannings,C. and C.A.B. Smith. (1966) A note on the estimation of gene frequencies by maximum likelihood in systems similar to Rhesus, Ann.Hum.Genet., (London), 29, 277--297.