Maritime Traffic Models for Vessel-to-Vessel Distances

Gaspare Galati, Gabriele Pavan, Francesco De Palo, Giuseppe Ragonesi

Abstract

The maritime traffic is significantly increasing in the recent decades due to its advantageous features related to costs, delivery rate and environmental compatibility. The Vessel Traffic System (VTS), mainly using radar and AIS (Automatic Identification System) data, provides ship’s information (identity, location, intention and so on) but is not able to provide any direct information about the way in which ships are globally positioned, i.e. randomly distributed or grouped/organized in some way, e.g. following routes. This knowledge can be useful to estimate the mutual distances among ships and the mean number of surroundings vessels, that is the number of marine radars in visibility. The AIS data provided by the Italian Coast Guard show a Gamma-like distribution for the mutual distances whose parameters can be estimated through the Maximum-Likelihood method. The truncation of the Gamma model is a useful tool to take into account only ships in a relatively small region. The result is a simple one-parameter distribution able to provide indications about the traffic topology. The empirical study is confirmed by a theoretical distribution coming from the bi-dimensional Poisson process with ships being randomly distributed points on the sea surface.

References

  1. Abramowitz, M. & Stegun, I. A., 1964. Handbook of mathematical functions. New York: Dover Publications.
  2. Bosch, T. et al., 2010. World Ocean Review. Hamburg: Maribus.
  3. Briggs, J. N., 2004. Target Detection By Marine Radar. London: The Institution of Electrical Engineers.
  4. Galati, G. & Pavan, G., 2015. Mutual interference problems related to the evolution of marine radars. Las Palmas, Gran Canaria (Spain), Intelligent Transportation Systems (ITSC), IEEE, pp. 1785-1790.
  5. Galati, G., Pavan, G. & De Palo, F., 2015. Interference problems expected when solid-state marine radars will come into widespread use. Salamanca (Spain), IEEE, pp. 1-6.
  6. Gleser, L. J. & Moore, D. S., 1983. The effect of dependence on chi-squared and empiric distribution tests of fit. The Annals of Statistics, 11(4), pp. 1100- 1108.
  7. ICAO, 2001. Air Traffic Service - Air Traffic Control Service, Flight Information Service, Alerting Service. 13th ed. : ICAO.
  8. IMO, 1997. Resolution A.857(20) - Guidelines for Vessel Traffic Services.
  9. IMO, 2001. Resolution A.917(22) - Guidelines for the onboard operational use of shipborne automatic identification systems (AIS).
  10. Nelder, J. A. & Mead, R., 1965. A simplex method for function minimization. The computer Journal, 7(4), pp. 308-313.
  11. Papoulis, A., 1990. Probability and statistics. : PrenticeHall.
  12. SOLAS, 2002. Regulation 19 of SOLAS Chapter V - Carriage requirements for shipborne navigational systems and equipment.
  13. Stacy, E. W., 1962. A generalization of the gamma distribution. The Annals of Mathematical Statistics, September, Volume 33, pp. 1187-1192.
Download


Paper Citation


in Harvard Style

Galati G., Pavan G., De Palo F. and Ragonesi G. (2016). Maritime Traffic Models for Vessel-to-Vessel Distances . In Proceedings of the International Conference on Vehicle Technology and Intelligent Transport Systems - Volume 1: VEHITS, ISBN 978-989-758-185-4, pages 160-167. DOI: 10.5220/0005856301600167


in Bibtex Style

@conference{vehits16,
author={Gaspare Galati and Gabriele Pavan and Francesco De Palo and Giuseppe Ragonesi},
title={Maritime Traffic Models for Vessel-to-Vessel Distances},
booktitle={Proceedings of the International Conference on Vehicle Technology and Intelligent Transport Systems - Volume 1: VEHITS,},
year={2016},
pages={160-167},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005856301600167},
isbn={978-989-758-185-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Vehicle Technology and Intelligent Transport Systems - Volume 1: VEHITS,
TI - Maritime Traffic Models for Vessel-to-Vessel Distances
SN - 978-989-758-185-4
AU - Galati G.
AU - Pavan G.
AU - De Palo F.
AU - Ragonesi G.
PY - 2016
SP - 160
EP - 167
DO - 10.5220/0005856301600167