Hayward J. & Roach P.A. (2024). A Comparison of Loop Dominance Methods: Measures and Meaning. Journal version. System Dynamics Review, 40(2), e1757. DOI: https://doi.org/10.1002/sdr.1757 Open Access.

Hayward J. & Roach P.A. (2023). A Comparison of Loop Dominance Methods: Measures and Meaning. Conference version.Presented at the 41st International Conference of the System Dynamics Society, Chicago, July 2023.

Schoenberg W., Hayward J. & Eberlein R. (2023). Improving Loops That Matter, System Dynamics Review, 39(2), 140–151. DOI: https://doi.org/10.1002/sdr.1728.

Hayward J. & Roach P.A. (2022). The Concept of Energy in the Analysis of System Dynamics Models, System Dynamics Review, 38(1), 5-40. DOI: 10.1002/sdr.1700

Hayward J. (2021). Loop Impact on Flows. Sociomechanics.com. DOI:10.13140/RG.2.2.17652.07044

Schoenberg W., Hayward J. & Eberlein R. (2021). Improving Loops That Matter. Presented at the 39th International Conference of the System Dynamics Society, Virtual Chicago, July 2021.

Hayward J. (2020). The concept of average loop impact as a system-wide measure of feedback dominance analysis. arXiv repository, https://arxiv.org/abs/2011.04103. Paper.

Polojärvi D.I., Gambardella P. & Hayward J. (2020). Understanding evolutionary societal decision‐making for sustainable social systems engineering purposes. In INCOSE International Symposium, vol. 30, no. 1, pp. 981-1000.

Hayward J., Jeffs R.A. & Roach P.A. (2020). A supply and demand model of political party growth. Presented at the 38th International Conference of the System Dynamics Society, Virtual Bergen, July 2020. Paper.

Hayward J. (2020). Introduction to the loop impact method of feedback dominance analysis. Workshop at the 38^th International Conference of the System Dynamics Society, Reykjavík, Iceland.

Hayward J. & Roach P.A. (2019). The concept of force in population dynamics. Physica A: Statistical Mechanics and its Applications, 531, 121736, DOI: 10.1016/j.physa.2019.121736.

Wyburn J. & Hayward J. (2019). An application of an analogue of the partition function to the evolution of diglossia. Physica A: Statistical Mechanics and its Applications, 516, pp.447-463.

Gambardella P., Hayward J., Palmer E. & Polojarvi D.I. (2018). Approximating Network Dynamics in the Classic Maya Collapse. Appears in the Proceedings of the 36^th International Conference of the System Dynamics Society, Reykjavík, Iceland.

Hayward J. (2018). Introduction to the loop impact method of feedback dominance analysis. Workshop at the 36^th International Conference of the System Dynamics Society, Reykjavík, Iceland.

Hayward J. (2018). Mathematical modeling of church growth: A system dynamics approach. arXiv preprint arXiv:1805.08482.

Hayward J & Roach P.A. (2017). Newton’s laws as an interpretive framework in system dynamics. System Dynamics Review, 33(3-4). DOI: 10.1002/sdr.1586

Hayward J. (2017). Exploring system behaviour using model structure. Workshop at the Annual Conference of the UK Chapter of the System Dynamics Society, London.

Jeffs R.A., Hayward J., Roach P.A. & Wyburn J. (2016) Activist model of political party growth. Physica A: Statistical Mechanics and its Applications, 442, 259-272. arXiv:1509.07805. Physica A.

Hayward J. (2015). Newton’s Laws of System Dynamics. Appears in the Proceedings of the 33^rd International Conference of the System Dynamics Society, Cambridge, MA. Paper.

Hayward J., Jeffs R.A., Howells L. & Evans K. (2014). Model building with soft variables: A case study on riots. Appears in Proceedings of the 32^nd International System Dynamics Society, Delft, Netherlands. Paper.

Hayward J. & Boswell G. (2014). Model behaviour and the concept of loop impact: A practical method. The System Dynamics Review. 30(1), 29-57. DOI: 10.1002/sdr.1511

Hayward J, Ahmed N. & Hassan A. (2014). The growth of Islam in the UK: A system dynamics perspective. The Annual Meeting of the Society for the Scientific Study of Religion, Indianapolis, USA.

Hayward J. (2013). System dynamics: A tool for investigating church and religious growth, The Annual Meeting of the Society for the Scientific Study of Religion, Boston, USA.

Hayward J. (2012). Model behavior and the strengths of causal loops: Mathematical insights and a practical method. Proceedings of the 30th International Conference of the System Dynamics Society, St Gallen, Switzerland.

Hayward J. & Howells L. (2011). Church growth and spiritual life. Future First, April 2011, published by Brierley Consultancy.

Wyburn J. & Hayward J. (2010).  A model of language-group interaction and evolution including language acquisition planning. Journal of Mathematical Sociology, 34(3), 167-200.

Hayward J. (2010). Church growth via enthusiasts and renewal. Proceedings of the 28th International Conference of the System Dynamics Society, Seoul, South Korea. Paper.

Wyburn J. & Hayward, J.  (2009). OR and language planning: Modelling the interaction between unilingual and bilingual populations. Journal of the Operational Research Society, 60(5), 626-636.

Hayward J. (2009). Does religion spread like a disease? International Medieval Congress, Leeds, UK.

Hayward J. (2009). Effective evangelisation. Challenge to Change: exploring strategies for an effective Church in a post-Christian landscape, University of Glamorgan, Wales, UK.

Hayward J. (2009). Modelling church growth: Micro and macro models, COST MP0801 WG1 Competition of Beliefs, Paderborn, Germany.

Wyburn J. & Hayward J. (2008). The future of bilingualism: An application of the Baggs and Freedman model, Journal of Mathematical Sociology. 32(4), 267-284.

Hayward J. (2008). Modelling church growth using system dynamics, Wales Mathematics Colloquium, Gregynog Wales, UK.

Hayward J. (2007). Modelling church growth: Strategies for growing churches, SD+50: The 50^th Anniversary of System Dynamics, London School of Economics, UK.

Hayward J.  (2006). Can the church be tipped into growth? Quadrant, May 2006, published by Christian Research.

Hayward J. (2005). A general model of church growth and decline, Journal of Mathematical Sociology. 29(3), 177–207. Preprint.

Hayward J. (2004). Church growth via enthusiasts. The 46^th Annual Conference of the Operational Research Society, York, UK.

Hayward J. (2002). A dynamical model of church growth and its application to contemporary revivals. Review of Religious Research, 43(3), 218–241. Preprint.

Hayward J. (2002). A dynamical model of strictness and its effect on church growth, The Annual Meeting of the Society for the Scientific Study of Religion, Salt Lake City, USA. Paper.

Hayward J. (2002). Revival or extinction: An application of systems dynamics to church attendance and membership data, The Annual Meeting of the Society for the Scientific Study of Religion, Salt Lake City, USA. Paper.

Hayward J.  (2002). Passing on the faith. Quadrant, March 2002, published by Christian Research.

Hayward J. (2000). Growth and decline of religious and subcultural groups. Proceedings of the 18th International System Dynamics Society, Bergen, Norway. Paper.

Hayward J. (2000). A dynamical model of church growth and global revival, The Annual Meeting of the Society for the Scientific Study of Religion, Houston, USA, Oct 2000. Paper.

Hayward J.  (2000). Modelling church growth – mathematically, Church Growth Digest, 23(1): 3-5, British Church Growth Association.

Hayward J.  (2000). Church growth – A disease!! Quadrant, September 2000, published by Christian Research.

Hayward J. (1999). Mathematical modeling of church growth. Journal of Mathematical Sociology. 23(4), 255–292. Updated preprint.

Hayward J. (1995). Mathematical modelling of church growth. Technical Report, UG-M-95-3, 1995. Report.

Hayward J. & Bale S. (1995). Refinement of Z specifications using reusable software components in Ada. In Proceedings of the conference on TRI-Ada’95: Ada’s role in global markets: solutions for a changing complex world (pp. 95-104).

MacKinnon, A.L., Brown J.C. & Hayward J. (1985). Quantitative analysis of hard X-ray ‘footpoint’ flares observed by the Solar Maximum Mission. Solar physics, 99(1), 231-262.

Brown J.C. & Hayward J. (1982). Dissipation and stability of return currents in solar flares. Solar Physics, 80(1), 129-141.

Brown J.C., Hayward J. & Spicer D. (1981). Thick target beam interpretation of stereo observations of a solar hard x-ray burst. The Astrophysical Journal, 245, L91.

Brown J.C. & Hayward J. (1981). Height structure of thermal hard X-ray sources on the Sun. Solar Physics, 73(1), 121-132.

Hayward J. (1981). Scalar-tetrad theories of gravity. General Relativity and Gravitation, 13(1), 43-55.

Hayward J. (1979). Internal gauge theory of gravity. Physical Review D, 20(12), 3039.