 Recent research suggests that Northern Hemisphere atmospheric teleconnections to ENSO and the Arctic Oscillation can be parabolic, which could alter the standard conceptual model of how water resources respond to climatic variability. The study applies an Achaiki information criterion-based polynomial selection approach to investigate annual flow volume teleconnections for 42 of the Northern Hemisphere's largest ocean-reaching rivers and finds that parabolic relationships are formally consistent with the data for almost half the rivers, including the Sacramento River in California. This article was authored by S. W. Fleming and H. E. Dolca.