Analyzing the Relationship Between Sea Surface and Air Temperature Anomalies: A Comparative Study of Methods

These methods are used to analyze the relationship between sea surface temperature anomalies (SSTA) and surface air temperature anomalies (SATA). The first method involves observing and counting the occurrence of events where both SSTA and SATA exceed their respective thresholds. The second method involves using a statistical model called a Gaussian copula to estimate the joint probability distribution of SSTA and SATA and to calculate the probability of both exceeding their thresholds simultaneously. The third method involves using a non-parametric approach called Gaussian bivariate kernel density estimation to estimate the joint probability density function of SSTA and SATA. By using these methods, researchers can better understand the relationship between these two variables and make predictions about future events based on past observations.