The sea's golden eyes fall into ranks, each rank pursued by the next,  each angrier than the last   and deepening to blood-red as they stretch to the golden line of horizon.

1. each rank pursued by the next，这是独立主格结构。构成：逻辑主语（each rank）+ 过去分词短语（pursued by the next）。pursue及物动词，意为“追逐；跟随”。等于follow 之意。

2. each angrier than the last，也是是独立主格结构。构成：逻辑主语（each ）+ 比较级形式的形容词短语（angrier than the last  ）。

意思是：一级被下一级追逐，一级比下一级愤怒。