There is only one area of agreement in this debate—that the existing poverty, employment, and earnings statistics are inadequate for one their primary applications, measuring the consequences of labor market problems.
个人觉得one (of) their primary applications,逗号后面的measuringXXXXXX是同位语,解释说明one their XXXXXXXXXXX。简单理解:整个争论(debate)当中,只有一点大家都同意,就是当前的XXXX的统计不足以measuringXXXX。 open to discussion