
Figure 1
Locations of the 20 project areas selected in 4 southern provinces, China (+: 2009; ++: 2010; +++:2011).
Table 1
Efficiency of government spending.
| Province | County | VRS | Type | |||||
|---|---|---|---|---|---|---|---|---|
| Guangdong | Wuhua+ | 376 | 1421 | 430 | 267 | 2148 | 0.289 | Inefficient |
| Conghua++ | 201 | 1528 | 510 | 30 | 2249 | 0.298 | Inefficient | |
| Luoding++ | 938 | 992 | 129 | 325 | 1862 | 0.497 | Less efficient | |
| Kaiping++ | 154 | 1494 | 207 | 857 | 2035 | 0.500 | Less efficient | |
| Chaoan+++ | 1072 | 3015 | 375 | 750 | 2025 | 0.697 | Mostly efficient | |
| Guangxi | Mengshan++ | 34 | 503 | 134 | 140 | 1604 | 0.118 | Inefficient |
| Tengxian++ | 203 | 232 | 126 | 371 | 1627 | 0.247 | Inefficient | |
| Luzhai++ | 938 | 469 | 315 | 698 | 1689 | 0.666 | Mostly efficient | |
| Shangsi+ | 838 | 308 | 110 | 801 | 1690 | 0.672 | Mostly efficient | |
| Pingle+ | 543 | 677 | 5000 | 197 | 1550 | 1.000 | Efficient | |
| Jiangxi | Anfu++ | 657 | 2245 | 4572 | 360 | 2716 | 0.666 | Mostly efficient |
| Yongfeng++ | 1387 | 3363 | 886 | 795 | 3313 | 0.810 | Mostly efficient | |
| Gaoan+ | 1829 | 3229 | 4240 | 650 | 3665 | 0.948 | Mostly efficient | |
| Nancheng+ | 884 | 2023 | 1,0940 | 2121 | 2526 | 1.000 | Efficient | |
| Duchang++ | 2394 | 2870 | 4150 | 773 | 2385 | 1.000 | Efficient | |
| Hunan | Yongzhou+ | 214 | 858 | 333 | 321 | 1626 | 0.230 | Inefficient |
| Ningyuan+++ | 476 | 998 | 555 | 440 | 3320 | 0.317 | Inefficient | |
| Liling++ | 1635 | 5280 | 1276 | 772 | 1602 | 1.000 | Efficient | |
| Jiahe++ | 241 | 3022 | 480 | 1675 | 1215 | 1.000 | Efficient | |
| Mayang+++ | 496 | 2868 | 4400 | 90 | 1601 | 1.000 | Efficient |
[i] +: 2009, ++: 2010, +++: 2011.

Figure 2
Comparison of the efficiency (white: efficient, light gray: mostly efficient, dark grey: less efficient, black: inefficient).
Table 2
Measurement and coding of conditions and outcome.a
| Measurement | Coding | |
|---|---|---|
| Conditions | Water pricing reform (P): Whether the project area of the county has reformed water pricing, normally increasing water rates to cover irrigation O&M costs. | Present: P,1 Absent: p,0 |
| Government funding (F): Whether the project area of the county has obtained external support of government funding for irrigation extension and maintenance. | Present: F,1 Absent: f,0 | |
| Coordination by administration (C): Whether the local governments or village organizations of the project area in the county directly provide support WUAs’ affairs e.g. making decisions, crafting and enforcing rules. | Present: C,1 Absent: c,0 | |
| Formal monitors (M): Whether the project area of the county has formal monitors responsible for monitoring infrastructure maintenance and water distribution. | Present: M,1 Absent: m,0 | |
| Self-organized management (S): Whether the project area of the county has authentic farmer water user organizations, e.g. WUAs, who, on their own, craft rules of operating and maintaining irrigation systems. | Present: S,1 Absent: s,0 | |
| Outcome | The efficiency distribution of (efficient, mostly efficient, less efficient, and inefficient) is calibrated by the four-value fuzzy set of (1, 0.67, 0.33, 0). | |
[i] aAccording to the procedure suggested by Basurto and Speer (2012).

Figure 3
Layout of local institutions and efficiency (E) (cells: 20 key counties; color instruction: same as Figure 2).
Table 3
Truth table of causes and outcome.
| P | F | M | C | S | |
|---|---|---|---|---|---|
| Absent | Present | Absent | Present | Absent | 3 |
| Absent | Present | Present | Present | Absent | 3 |
| Absent | Absent | Absent | Present | Absent | 2 |
| Present | Absent | Absent | Present | Present | 2 |
| Absent | Absent | Absent | Absent | Present | 1 |
| Absent | Absent | Present | Present | Absent | 1 |
| Present | Present | Present | Present | Present | 1 |
| Absent | Present | Absent | Present | Present | 1 |
| Absent | Present | Present | Present | Present | 1 |
| Present | Present | Absent | Present | Absent | 1 |
| Present | Present | Absent | Present | Present | 1 |
| Present | Present | Present | Absent | Present | 1 |
| Present | Present | Present | Present | Absent | 1 |
| Present | Present | Present | Present | Present | 1 |
