using chapterbib with author-year citations

using chapterbib with author-year citations

I'm typesetting my PhD dissertation but have run in to some unexpected
troubles using chapterbib. I'm working with a custom bibliography style
file (aea.bst) and want LaTeX to typeset \cite{boun01} as (Bound, Brown
and Mathiowetz, 2001) instead of [1]. However, when I compile my document,
I receive the following error message
36: Package natbib Error: Bibliography not compatible with author-year
citations. (natbib) Press to continue in numerical citation style.
A minimal reproducible example is provided below.
The main file:
\documentclass[11pt,a4paper,english]{report}
\usepackage[T1]{fontenc}
\usepackage[latin1]{inputenc}
\usepackage{babel}
\usepackage{lmodern}
\usepackage{blindtext}
\usepackage{natbib}
\usepackage{har2nat}
\usepackage{chapterbib}
\begin{document}
\include{chp01}
\include{chp02}
\end{document}
chp01.tex:
\blinddocument
\cite{boun01}
\cite{zeld89}
\bibliographystyle{aea}
\bibliography{sample}
chp02.tex
\blinddocument
\cite{boun01}
\bibliographystyle{aea}
\bibliography{sample}
sample.bib
@article{boun01,
title={Measurement error in survey data},
author={Bound, John and Brown, Charles and Mathiowetz, Nancy},
journal={Handbook of econometrics},
volume={5},
pages={3705--3843},
year={2001},
publisher={Elsevier}
}
@article{zeld89,
title={Optimal consumption with stochastic income: Deviations from
certainty equivalence},
author={Zeldes, Stephen P},
journal={The Quarterly Journal of Economics},
volume={104},
number={2},
pages={275--298},
year={1989},
publisher={Oxford University Press}
}
and finally, aea.bst, can be downloaded here
http://faculty.ses.wsu.edu/Cassey/Webpage/Bib_files/aea.bst.txt
(save as aea.bst).
Thanks in advance, best, Sebastian