Abstract

Abstract. Parameter specification usually has significant influence on the performance of land surface models (LSMs). However, estimating the parameters properly is a challenging task due to the following reasons: (1) LSMs usually have too many adjustable parameters (20 to 100 or even more), leading to the curse of dimensionality in the parameter input space; (2) LSMs usually have many output variables involving water/energy/carbon cycles, so that calibrating LSMs is actually a multi-objective optimization problem; (3) Regional LSMs are expensive to run, while conventional multi-objective optimization methods need a large number of model runs (typically ~105–106). It makes parameter optimization computationally prohibitive. An uncertainty quantification framework was developed to meet the aforementioned challenges, which include the following steps: (1) using parameter screening to reduce the number of adjustable parameters, (2) using surrogate models to emulate the responses of dynamic models to the variation of adjustable parameters, (3) using an adaptive strategy to improve the efficiency of surrogate modeling-based optimization; (4) using a weighting function to transfer multi-objective optimization to single-objective optimization. In this study, we demonstrate the uncertainty quantification framework on a single column application of a LSM – the Common Land Model (CoLM), and evaluate the effectiveness and efficiency of the proposed framework. The result indicate that this framework can efficiently achieve optimal parameters in a more effective way. Moreover, this result implies the possibility of calibrating other large complex dynamic models, such as regional-scale LSMs, atmospheric models and climate models.

Highlights

  • Land surface models (LSMs), which offer land surface boundary condition for atmospheric models and climate models, are widely used in weather and climate forecasting

  • The results indicated that multi-objective optimization can enhance the performance of Common Land Model (CoLM) using either the ASMO or SCE-UA method

  • We have carried out multi-objective parameter optimization for a LSM (CoLM) at the Heihe river basin

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Summary

Introduction

Land surface models (LSMs), which offer land surface boundary condition for atmospheric models and climate models, are widely used in weather and climate forecasting. To take a multiobjective optimization approach to the calibration of LSM parameters for large-scale applications, the key is to reduce the number of model runs to an appropriate level that we can afford. We proposed a framework that can potentially reduce the number of model runs needed for parameter calibration of large complex system models (Wang et al, 2014) This framework involves the following steps: (1) a parameter screening step using global sensitivity analysis to identify the most sensitive parameters to be included in the optimization; (2) surrogate modeling that can emulate the response surface of the dynamic system model to the change in parameter values; (3) an adaptive sampling strategy to improve the efficiency of the surrogate model construction; and (4) a multi-objective optimization step to optimize the most sensitive parameters of the dynamic system model. This paper contains the following parts: Sect. 2 introduces the basic information of CoLM, the study area and data set, the adjustable parameters and the output variables to be analyzed; Sect. 3 presents an inter-comparison of five surrogate modeling methods, and discusses how many model runs would be sufficient to build a surrogate model for optimization; Sect. 4 carries out single and multiple objective optimization using an ASMO strategy; Sect. 5 provides the discussion and conclusions

Model and parameters
Study area and data sets
Comparison of surrogate models
Single-objective optimization
Multi-objective optimization
D A rela
Discussion and conclusions
Multivariate Adaptive Regression Splines
Gaussian process regression
Random Forest
Support vector machine
Findings
Artificial neural network
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