Beneath the blue silk ties, Savile Row suits and faux bonhomie, tribal hatreds threaten to consume sections of the leadership of the Conservative party. Flashes of the venom occasionally spill over into the public domain.

Francis Maude allowed his frustration to show for an instant when he said: "The Conservative party will always suffer if it is seen as trying to turn the clock back to an imagined golden era." Who else could he have been turning his fire on but Thatcherites such as Liam Fox and Norman Tebbit?

Or what about Nick Boles MP, who said: "Only by showing we really are on the side of ordinary people will we turn the Conservative party back into a truly national party"? We can deduce from this that he clearly sees his party as one that is seen as representing only the elite.

But here is a riposte from a senior Tory activist writing in the Telegraph: "The party needs to have courage to stand up for its traditional values. We should be unashamed about promoting our ideals and principles. Most voters want controlled immigration. Most oppose European integration. And most share our support for freedom under the law and free markets."

Now, we can choose to interpret these contending ideas and factions as a curiosity, a part of the detritus of every day politics and a reflection of the seething personal ambitions that poison so much of Westminster life. But to do so would be a mistake and would trivialise the issues at stake. For the Conservative party faces an existential threat. These surface tensions reflect the underlying decay of the Tories' traditional social base.

The more perceptive among them understand the need to change. Lord Ashcroft put it succinctly when he said: "The need for new supporters is a mathematical fact." But in reality they are thrashing around for new meaning in a period of rapidly shifting demographics, which they can barely understand, let alone control.

All of this will make fascinating social and political history, but for Labour it is far more important than that. In order that Labour can win again, we need to understand the crises with which the Conservatives are struggling and to adapt our strategies accordingly.

In retrospect, the 1992 election marked a turning point for the Conservatives. It was the last time they were able to construct a Commons majority based on attaining a vote of 14.1 million spread geographically across the country. Since then, they have never secured more than 10.6 million votes.

Lord Ashcroft undertook research into his own party's failure after the 2010 general election. From this polling, two categories of Conservative voters can be identified - the true blue Tories and the 2010 cohort. The true blue Tories are the Conservative party's core group of supporters, who are generally aligned to rightwing issues, such as crime, immigration and taxation. They are also less likely to be socially liberal or to support issues such as gay marriage. Lord Ashcroft puts this group at about 8.2 million people.

The 2010 cohort had rarely or never voted for the Conservative party before 2010, and tends to be more socially liberal and protective of public services. They number about 2.5 million voters.

There is also a third group, those who considered voting Conservative but thought better of it for a variety of reasons. These are the 'considerers' and they number nearly two million.

The Conservatives desperately need to appeal to all three groups to have even a chance of gaining a majority at the next election, but the tensions surrounding these three groups are nuanced and complex.

A significant section of the true blue Tory base is showing signs of deep anxiety about the 'liberal' aspects of the Cameron group's politics, to the extent that significant numbers are now looking to Ukip; indeed, 35% of Conservative party members could see themselves voting Ukip in the next general election.

At the same time, the 2010 cohort has almost entirely deserted the party, alienated by the government's approach to a number of touchstone issues. The NHS shakeup, coupled with a deeply unpopular and unfair budget, led to overall support for the Conservatives descending to the levels of the 2005 and 2001 elections.

The Conservative considerers create further tension for the party. Their values tend to be more in line with those of the 2010 cohort, but they think the environment and improving schools are much more important issues than the 2010 cohort do. Recent polling proves that both the 2010 cohort and the considerers have abandoned the Conservative party in considerable numbers.

The truth is that the Tories face problems on both flanks.

Behind the scenes, it is clear that some Tory strategists have accepted that it will be very difficult to build an electoral majority with present trends. But they have hit on a cunning plan. They will seek to gerrymander British constitutional structures, for example by changing the boundaries and voter registration, in an attempt to prevent the Labour opposition from building its own majority while seeking to filch as many parliamentary seats back from the Liberal Democrats as possible.

However, the Conservative crisis does not mean that the Labour party is guaranteed an easy ride. There is much to be done in order for Labour to become the party of government at the next election The most often quoted law of politics in the democratic age is that elections are always won in the centre. Following the defeats that began in 1979, Labour lost its self-confidence and occasionally gave the impression that it had come to believe that, in order to win, we had to camp out on a kind of politics that was wholly centrist and even centre-right. The Labour party now has the space to put an end to this triangulation and to establish its own independent identity based on our abiding values of community, justice and equality.

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