Dynamics, regional heterogeneity and robustness of fiscal poverty alleviation efficiency in China: Dynamic network DEA and Bootstrap resampling methods

Tiantian Ren, Helu Xiao, Shanping Wang, Zhongbao Zhou
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Abstract

This paper aims to tackle the issues of evaluating the dynamic performance of fiscal poverty alleviation in 22 Chinese provinces (regions) over 2016-2019. First, we open up the internal structure of the fiscal poverty alleviation system (FPAS) and clarify its input-output process as a two-stage series system consisting of the public investment process and poverty reduction process. On this basis, we construct dynamic network DEA models with and without carryover activities for measuring the period efficiency and overall efficiency of FPASs (i.e., FPAS efficiency) and the period efficiency and overall efficiency of evaluation indicators (i.e., indicator efficiency), and also prove the relationship between the two proposed models. Second, we combine the proposed dynamic network DEA models and Bootstrap resampling method to assess the robustness of FPAS efficiency for exploring the risk of returning to poverty for each FPAS. The results show that: (i) the carryover activities have some impact on the FPAS efficiency and indicator efficiency; (ii) the period efficiency shows an upward trend, and most of FPASs or evaluation indicators have been at high efficiency in the sample period, but there is still regional heterogeneity; (iii) there are some differences between the indicator efficiency and there are some inconsistencies between them and the FPAS efficiency; (iv) Bootstrap resampling results indicate that several FPASs have a great risk of returning to poverty.
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中国财政扶贫效率的动态性、区域异质性和稳健性:动态网络 DEA 和 Bootstrap 重采样方法
本文旨在解决 2016-2019 年中国 22 个省(区)财政扶贫的动态绩效评价问题。首先,我们梳理了财政扶贫系统(FPAS)的内部结构,将其投入产出过程厘清为由公共投资过程和扶贫过程构成的两阶段序列系统。在此基础上,我们构建了有结转活动和无结转活动的动态网络 DEA 模型,用于衡量 FPAS 的期间效率和总体效率(即 FPAS 效率)以及评价指标的期间效率和总体效率(即指标效率),并证明了所提出的两个模型之间的关系。其次,我们结合所提出的动态网络 DEA 模型和 Bootstrap 重采样方法,评估 FPAS 效率的稳健性,以探究各 FPAS 的返贫风险。结果表明(i)结转活动对 FPAS 效率和指标效率有一定影响;(ii)期间效率呈上升趋势,大部分 FPAS 或评价指标在样本期间一直处于高效率状态,但仍存在区域异质性;(iii)指标效率之间存在一定差异,且与 FPAS 效率之间存在一定的不一致性;(iv)Bootstrap 重采样结果表明,多个 FPAS 存在较大的返贫风险。
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