Investigating the sinking of the M.V. Derbyshire and the setting of global design standards for bulk carriers using statistical extreme value research
Submitting Institution
Lancaster UniversityUnit of Assessment
Mathematical SciencesSummary Impact Type
PoliticalResearch Subject Area(s)
Mathematical Sciences: Statistics
Engineering: Maritime Engineering
Medical and Health Sciences: Public Health and Health Services
Summary of the impact
Research on extreme value methods by Heffernan and Tawn at Lancaster,
which proved critical in determining the conclusions of the High Court's
investigation of the sinking of the M.V. Derbyshire, also identified that
design standards for the strength of hatch covers of ocean-going carriers
(bulk carriers, ore carriers and combination carriers) needed to be
increased by 35%. This new level was set as a worldwide mandatory standard
in 2004. During the REF census period this change has impacted on the
design of 1720 new carriers and strengthening for the 5830 in service.
There have been no sinkings of ocean-going bulk carriers since the new
design standards were introduced in 2004, whereas on past evidence over
100 such sinkings of ocean-going bulk carriers would have been expected in
the REF census period.
Underpinning research
Research for the MV Derbyshire: 2000
The research for this shipping case study stemmed from an approach by Mr
Justice Colman who was presiding over the High Court's Re-Opened Formal
Investigation into the sinking of the M.V. Derbyshire in 2000. Tawn was
appointed the sole expert to deal with statistical issues. Research was
required to estimate the probability of the M.V. Derbyshire incurring
excessive wave impacts on its hatch covers in the typhoon when it sank. In
particular, a series of estimates were required under different scenarios
of the running of the ship.
By drawing heavily on 20 years of research on extreme value methods at
Lancaster, Heffernan and Tawn were able to integrate complex data and
knowledge into their estimates of the probability of sinking. This
information included: hindcast wave data for the time of the sinking, wave
impact data from tank studies performed on a replica of the M.V.
Derbyshire in a range of wave conditions, engineering knowledge about the
state of the vessel and different operating conditions. Heffernan and Tawn
derived estimates and confidence intervals of the probability of the ship
sinking under a range of operating scenarios. The results gave a clear
delineation into the potential causes of the sinking and a formal
quantification of the knowledge of the naval architects involved in the
investigation (see Heffernan and Tawn, 2003, 2004b).
These modelling approaches required the incorporation of changes in the
covariates over the duration of the typhoon that sank the M.V. Derbyshire.
The research developed new measures of fit pooled over covariates.
Advanced extreme value methods were essential to deriving reliable
estimates given that the required wave impact on the ship's hatch cover to
have led to the sinking was larger than any derived in the tank studies.
Longer running of the tank studies was impossible, so the only way to
achieve the required information of the investigation was through extreme
value methods. This was the first use of extreme value methods in naval
architecture.
Research to set new design standards: 2000-2002
The report of the High Court Re-Opened Formal Investigation in 2000
proposed further study to review the adequacy of the current international
design standards for shipping in relation to hatch strength of ocean-going
carriers. Heffernan and Tawn undertook all the statistical analysis in
that study using tank data supplied by the Netherlands Maritime Research
Institute. The data contained wave impacts on the hatch covers and walls
for a range of bulk carrier designs and extreme wave conditions. A highly
efficient analysis of wave impacts was derived covering all bulk carrier
types, including using: extreme value threshold methods; pooling different
studies to ensure consistency; and exploiting joint dependence and
stochastic ordering between impacts on the hatch covers and the walls.
Resulting estimates of the distribution of extreme wave impacts on these
hatch covers and walls were then derived over the range of operating
conditions. The details of this modelling are described in Heffernan and
Tawn (2001) and Tawn and Heffernan (2001) but with key features of the
approaches building on research in Heffernan and Tawn (2004a) and
Nadarajah et al. (1998), with the former an Royal Statistical Society
discussion paper cited in Heffernan and Tawn (2001) but appearing later.
References to the research
Key references
Heffernan, J. E. and Tawn, J. A. (2001). Extreme value analysis of a
large designed experiment: a case study in bulk carrier safety. Extremes,
4, 359--378.
Heffernan, J.E. and Tawn J.A. (2003) An extreme value analysis for the
investigation into the sinking of the M.V. Derbyshire. Appl. Statist. 52,
337-354.
Tawn, J.A. and Heffernan, J.E. (2001). Summary of statistical analysis of
the seakeeping model tests, p41-54, Proceedings of the Royal Institution
of Naval Architects conference Design & Operation of Bulk Carriers
Post M.V. Derbyshire. London.
Other references
Heffernan, J. E. and Tawn, J. A. (2004a). A conditional approach to
modelling multivariate extreme values (with discussion). J. Roy. Statist.
Soc., B, 66, 497-547.
Heffernan, J. E. and Tawn, J. A. (2004b). Extreme values in the dock.
Significance, 1, 13-17.
Nadarajah, S., Anderson, C. W. and Tawn, J. A. (1998). Ordered
multivariate extremes, J. Roy. Statist. Soc., B, 60, 473-496.
Details of the impact
High Court Re-Opened Formal Investigation of the sinking of the M.V.
Derbyshire: 2000
The largest UK ship lost at sea is the bulk carrier M.V. Derbyshire that
sank in September 1980 when she encountered a typhoon near Japan. All of
the 44 people on board were lost and no mayday was signalled. The reason
for her sinking became the focus of a series of reports and investigations
that were carried out over the following 20 years and culminating in the
£11M High Court Re-Opened Formal Investigation in 2000.
The judge, Colman (2000) paragraph 6.13, described the contribution that
the extremes values group at Lancaster made to identify the cause of the
sinking as of `absolutely fundamental importance to the outcome of this
Investigation'. Similarly Hansard (2002) reports `Professor Tawn
concluded from that data that the flooding of both the stores and the
ballast tank—even the stores alone—could have produced sufficient loss
of freeboard to expose hatch cover No.1 to at least one hatch-breaking
wave during the typhoon on 9 September 1980. Therefore, hatch cover
strength became crucial, not only to the safety of the Derbyshire, but
to all similar vessels, many of which are still navigating the oceans
today, thus putting hundreds more lives at risk.'
High Court Judge calls for new design standards for hatch covers of
carriers: 2000
In addition to establishing the likely cause of the M.V. Derbyshire's
loss the Re-Opened Formal Investigation's report questioned the adequacy
of current regulations governing hatch cover strengths. There were 99 bulk
carrier sinkings between 1990 and 1997 with 650 lives lost
(http://en.wikipedia.org/wiki/Bulk_carrier)
with causes similar to the M.V. Derbyshire.
Hatches were found to represent the most significant point of
vulnerability for bulk carriers. Colman (2000, Para 62 of the Summary)
stated that the current international standard for hatch cover strength is
"seriously deficient in the context of present day concepts of
acceptable safety standards." He requested further research as a
matter of urgency with the work to be carried out by the researchers from
the Re-Opened Formal Investigation - specifically by Lancaster's
statisticians, Lloyds Registry of Shipping and the Netherlands Maritime
Research Institute. He insisted that this study should carry sufficient
authority that the International Association of Classification Societies
and the International Maritime Organisation should adopt its findings and
thus ensure that new design standards would be mandatory globally.
Lancaster's statisticians identify new design standard: 2000-2002
Funded by the then named Department of Environment, Transport and the
Regions, Lancaster's statisticians provided the entire statistical
methodology and analysis for the study to develop new design standards and
also had input into the design of the study. The research they conducted
showed that the strength of hatch covers needed to be increased by 35%
from the previous design standards.
Ratification of a new Worldwide Mandatory Design Standard: 2003-2004
It was agreed that the 35% increase in design standard should become
internationally accepted. The process of ratifying this change was
complex, passing through a series of meetings of the Maritime Safety
Committee and the International Association of Classification Societies,
as explained below.
Maritime Safety Committee (2002a) shows evidence of progress of the
research and Lancaster's contribution. That report documents the committee
encouraging the International Association of Classification Societies to
rewriting URS21, the design standards for bulk carriers, regarding hatch
covers. Maritime Safety Committee (2002b) sets out a framework for the
implementation to new and existing ships, with the International
Association of Classification Societies updating URS21 in April 2003. The
section for URS21 states that its 3rd revision in 2003 came
about due to the work undertaken following the Re-Opened Formal
Investigation into the loss of the M.V. Derbyshire. The exact changes are
a revision of the method for calculating the strength formulation for
hatch covers along with the design of the hatch covers themselves. The
exact values of this standard vary depending upon the length of the ship,
specifically whether it is over, or under, 100m. Finally, the Maritime
Safety Committee (2004) adopted the changes and amendment was then made to
the SOLAS treaty (an international maritime safety treaty), regulation 7,
making this design standard mandatory for U.N. countries.
Quantification of Impact: 2004 onwards
No amendments to the design standard regulations have been made since
2004 and so the global fleet of ocean-going carriers operating through the
REF census period follow these new regulations. Specifically, since 1st
January 2004, all ship builders that are members of the International
Association of Classification Societies must obey these standard
requirements and build their ships to this standard. For all 1720 bulk
carriers built between 2008 and 12 the strength of hatch covers has been
increased by 35% from the previous design standards, and for the 5830
previously built bulk carriers hatches were strengthened and new
inspection and maintenance procedures were required (see Intercargo,
2011). Furthermore, from 2004 the International Association of
Classification Societies decided they would apply these rules not just to
bulk carriers, but to ore carriers and combination carriers as well.
There have been no sinkings of ocean-going bulk carriers since the new
design standards were introduced in 2004, whereas on past evidence over
100 such sinkings of ocean-going bulk carriers would have been expected in
the REF census period. This drastically improved safety record has
provided substantial benefits for the shipping industry, insurers and
governments (as illustrated by the parties actively involved in the
Re-Opened Formal Investigation of the M.V. Derbyshire).
Sources to corroborate the impact
Colman, Mr Justice (2000) Report of the Re-opened Formal Investigation
into the Loss of the M. V. Derbyshire. London: Stationery Office. (Section
6.13 and 6.14, 11, 14 and Appendix 17).
House of Commons Hansard Debates (2002) 25 Jun 2002: Column 195WH
Intercargo (2011) Benchmarking Bulk Carriers, 5th Edition.
Maritime Safety Committee (2002a). Bulk Carrier Model Test Progress
Report. 75th Session Agenda item 5.
Maritime Safety Committee (2002b). Report of The Maritime Safety
Committee on its Seventy- Sixth Session. Agenda item 5.
Maritime Safety Committee (2004). Report of The Maritime Safety Committee
on its Seventy-Ninth Session. Agenda item 3 and Annex 2.
International Association of Classification Societies (2011).
Requirements concerning strengths of ships. For information on updates of
URS21.