. 2014 Jul 15;9(7):e102560. doi: 10.1371/journal.pone.0102560

Table 3. The best fitted VI-LAI relationships and their statistics.

Study areas	VI	VI = VI _∞−(VI _∞−VI _g)exp(−K_VILAI)	STDV	(VI _max−VI _min)	R ²	RMSE	Normalized RMSE
Tiantongshan	NDVI	y = 1–0.354exp(−0.11x)	0.025	0.090	0.3703	0.0205	0.2278
	SAVI	y = 1–0.7837exp(−0.064x)	0.048	0.180	0.2600	0.0431	0.2389
	OSAVI	y = 1–0.672exp(−0.0619x)	0.035	0.128	0.3291	0.0305	0.2381
	MSAVI	y = 1–0.8693exp(−0.078x)	0.061	0.231	0.2571	0.0549	0.2380
	RSR	y = 10.5–10.5exp(−0.237x)	0.990	3.424	0.3648	0.8274	0.2417
	MNDVI	y = 0.7299–0.2589exp(−0.2271x)	0.042	0.151	0.0879	0.0425	0.2806
	MAVI	y = 1–0.6268exp(−0.067x)	0.024	0.091	0.6975	0.0137	0.1501
Maoershan	NDVI	y = 1–0.4002exp(−0.1724x)	0.068	0.224	0.5338	0.0487	0.2171
	SAVI	y = 1–0.6835exp(−0.0703x)	0.082	0.275	0.3902	0.0674	0.2454
	OSAVI	y = 1–0.6115exp(−0.0715x)	0.070	0.225	0.4409	0.0546	0.2423
	MSAVI	y = 1–0.7391exp(−0.0901x)	0.108	0.363	0.3802	0.0893	0.2459
	RSR	y = 11–11exp(−0.222x)	2.022	7.143	0.7580	1.0435	0.1461
	MNDVI	y = 0.6052–0.6052exp(−0.5351x)	0.101	0.360	0.6281	0.0644	0.1789
	MAVI	y = 0.6904–0.4266exp(−0.3107x)	0.068	0.238	0.7417	0.0361	0.1517
Hulunbeier	NDVI	y = 0.8482–0.4956exp(−0.5686x)	0.086	0.398	0.6667	0.0505	0.1269
	SAVI	y = 1–0.7754exp(−0.0978x)	0.056	0.274	0.6496	0.0340	0.1239
	OSAVI	y = 0.776–0.5105exp(−0.196x)	0.060	0.291	0.6622	0.0357	0.1228
	MSAVI	y = 1–0.8206exp(−0.1041x)	0.063	0.309	0.6382	0.0389	0.1258
	RSR	y = 9–9exp(−0.1739x)	1.234	5.927	0.6386	0.7569	0.1277
	MNDVI	y = 0.5713–0.5713exp(−0.3985x)	0.100	0.424	0.6449	0.0607	0.1430
	MAVI	y = 0.7205–0.5394exp(−0.2354x)	0.069	0.332	0.6924	0.0391	0.1176
Xilinhaote	NDVI	y = 1–0.7552exp(−0.2631x)	0.120	0.503	0.6647	0.0712	0.1415
	SAVI	y = 1–0.8425exp(−0.0936x)	0.078	0.348	0.5071	0.0562	0.1615
	OSAVI	y = 1–0.8181exp(−0.1163x)	0.083	0.366	0.5923	0.0541	0.1479
	MSAVI	y = 1–0.8784exp(−0.0957x)	0.086	0.386	0.4741	0.0640	0.1658
	RSR	y = 12.5–12.5exp(−0.1579x)	1.995	9.297	0.6669	1.1749	0.1264
	MNDVI	y = 0.825–0.825exp(−0.4007x)	0.186	0.691	0.6858	0.1065	0.1541
	MAVI	y = 1–0.8952exp(−0.1275x)	0.092	0.384	0.6627	0.0544	0.1418

Note: STDV is the standard deviation of each VI corresponding to the whole range of measured LAI. (VI _max–VI _min) is the difference between the maximum and minimum value of each VI corresponding to the whole range of measured LAI. The last column gives the normalized RMSE (i.e., RMSE/(VI _max–VI _min)) for each VI. Values in bold font indicate high performance.