Analysts trace the high rates of gun crime in south Manchester, England, to acute social deprivation in an inner city area south of Manchester city centre stretching from Hulme through Moss Side to Longsight.

Analysts traced many of Horizon's problems to the acquisition last year of Continental Medical Systems, a rehabilitation hospital chain that lost important contracts to supply physical therapy services to other nursing home chains.

Analysts trace the company's difficulties to the 1985 merger of Coles and the Myer Emporium, which created a sprawling company prone to slow-footed complacency.

Analysts trace the company's troubles to the 1982 acquisition of Beckman Instruments Inc. for $1 billion in SmithKline stock, just as Beckman's main customers, hospitals, were about to be squeezed by new cost-containment policies.

Analysts trace the strength of Nike's stock to smart marketing, frequent shoe updates and, lately, prudent financial management.

Analysts traced the decline to uncertainty about whether I.B.M would use Seagate's products in its new line of personal computers.

Analysts trace much of the company's troubles to its decision to expand into the concert business in 2000 with a $4.4 billion deal to purchase SFX Entertainment, a live-event concern run by the media entrepreneur Robert F.X. Sillerman.

Analysts traced sentiments such as these to the economic insecurity of those dubbed the "middle Americans," those earning between $5,000 and $15,000 a year and including many white ethnics, who were 55% of the American population.

Analysts trace specific musical choices in the opus 20 quartets to these new ideas.

Analysts traced much of the year-to-date surge to American auto makers, which have accelerated the pace at which they are introducing models.