What you want is statistics!
NR» must have loads of historical numbers, of landslips (by type),
of which those blocking the track,
of which those causing derailment,
of which those causing injury or death. I can't find that, but NR's site has
a report for 2018 on "Earthworks Technical Strategy". That's a plan - but not as woolly as most; it would be worth looking at for technical content, and in particular for its coverage of current and future monitoring systems. It has few data that I can see, but does list earthwork failures by CP and severity, from which "potentiall high consequence earthwork failures" and "earthwork attributable derailments":
PHCEF EAD
CP1: n/a 7
CP2: n/a 8
CP3: 41 8
CP4▸ : 32 8
CP5▸ : 18 2 (4 years only)
I tried looking wider, for
RSSB▸ research, but finding anything in Spark (the RSSB library) has got even more difficult since they "improved" its web design. I did find
one RAIB▸ special report from 2008 into "Network Rail’s Management of Existing Earthworks", with a short section about trends.This had very limited data (for 2003-2008), and reading numbers by eye off their graph gives the following counts for "earthwork failures" (a much bigger category than just landslips). These are also broken down by type, again only for that short period, and I've picked out the biggest category - "cutting slip" and added that:
all falures c/slip
2003/4: 45 n/a
2004/5: 55 22
2005/6: 39 14
2006/7: 88 34
2007/8: 107 36
This is part of the same section:
58 In the period covered by this data, train derailments attributed to earthwork failure were:
1 in 2003/4 – rock fall;
1 in 2004/5 – embankment slip;
2 in 2005/6 – 1 cutting slip and 1 cutting washout;
3 in 2006/7 – 1 cutting washout and 2 cutting slips; and
0 in 2007/8.
59 The last fatality related to an earthwork failure was in 1995, when a derailment occurred on the Settle and Carlisle line and a member of the traincrew died in a subsequent collision with another train. Her Majesty’s Railway Inspectorate (HMRI▸ ), at that time part of the Health & Safety Executive, published a report into the accident in October 1997, which recorded the actions taken, none of which were related to infrastructure or earthworks, and made no further recommendations. It has proved difficult to establish the previous attributable fatality, but it was a considerable time ago, and may have been before 1940.
Sadly that record now reads quite differently - though it's not something where a "trend" would be meaningful.