The Monthly view of WTI-NYMEX shows a similar pattern.
However, demand and consumption do respond to higher relative prices. The real influence of unrest in the major oil producing countries of the Middle East would create some changes in the dynamics of the oil producing and consuming states of the globe, which account for 35% of global production (source). Watching and Learning.
EIA Libya Oil Data (2009)
LibyaOnline.com Oil Data (2006)