Forward Sensitivity Approach to Dynamic Data Assimilation

Table 2

Sensitivities of model state to initial conditions and parameters for the sea/air turbulent transfer model.

Time (hours)	𝑡=0	𝑡=1	𝑡=5	𝑡=10	𝑡=15	𝑡=20
𝜕𝑥(𝑡)/𝜕𝑥(0)	1.0	0.7788	0.2865	0.0821	0.0235	0.0007
𝜕𝑥(𝑡)/𝜕𝑥𝑠	0.0	0.2212	0.7135	0.9179	0.9765	0.9993
𝜕𝑥(𝑡)/𝜕𝑘	0.0	7.788	14.325	8.2100	3.525	0.1400