Predicting Water Temperature Dynamics of Unmonitored Lakes with Meta Transfer Learning

TL;DR

This paper introduces a novel meta transfer learning framework that leverages models from well-monitored lakes to accurately predict temperature dynamics in unmonitored lakes, significantly improving over existing models.

Contribution

The study develops a new Meta Transfer Learning approach that effectively transfers knowledge from multiple source lakes to unmonitored targets, enhancing temperature prediction accuracy.

Findings

PGDL-MTL achieved median RMSE of 2.16°C, outperforming other models.

Ensemble PGDL-MTL reduced RMSE to 1.88°C, showing improved accuracy.

Maximum depth was a key predictor in transfer performance.

Abstract

Most environmental data come from a minority of well-monitored sites. An ongoing challenge in the environmental sciences is transferring knowledge from monitored sites to unmonitored sites. Here, we demonstrate a novel transfer learning framework that accurately predicts depth-specific temperature in unmonitored lakes (targets) by borrowing models from well-monitored lakes (sources). This method, Meta Transfer Learning (MTL), builds a meta-learning model to predict transfer performance from candidate source models to targets using lake attributes and candidates' past performance. We constructed source models at 145 well-monitored lakes using calibrated process-based modeling (PB) and a recently developed approach called process-guided deep learning (PGDL). We applied MTL to either PB or PGDL source models (PB-MTL or PGDL-MTL, respectively) to predict temperatures in 305 target lakes treated as unmonitored in the Upper Midwestern United States. We show significantly improved performance relative to the uncalibrated process-based General Lake Model, where the median RMSE for the target lakes is $2.52^{\circ}C$. PB-MTL yielded a median RMSE of $2.43^{\circ}C$; PGDL-MTL yielded $2.16^{\circ}C$; and a PGDL-MTL ensemble of nine sources per target yielded $1.88^{\circ}C$. For sparsely monitored target lakes, PGDL-MTL often outperformed PGDL models trained on the target lakes themselves. Differences in maximum depth between the source and target were consistently the most important predictors. Our approach readily scales to thousands of lakes in the Midwestern United States, demonstrating that MTL with meaningful predictor variables and high-quality source models is a promising approach for many kinds of unmonitored systems and environmental variables.