The abstract reads
“Ocean heat content data from 2003 to 2008 (4.5 years) were evaluated for trend. A trend plus periodic (annual cycle) model fit with R**2 = 0.85. The linear component of the model showed a trend of -0.35 (±0.2) x 10**22 Joules per year. The result is consistent with other data showing a lack of warming over the past few years.”
This paper, which was completed independently of my paper
Pielke Sr., R.A., 2008: A broader view of the role of humans in the climate system. Physics Today, 61, Vol. 11, 54-55
further confirms the lack of upper ocean warming that has occurred in recent years.
While the analysis presented in my paper, that was completed by Josh Willis, indicates the uncertainties are too large to definitively conclude that there has been cooling, the lack of warming in both papers are in conflict with the predictions of the global climate models as reported, for example, in the Climate Science weblog