Construction of A Standardized Height-diameter Equation for the Main Tree Species in China Suitable for the GlobalAllomeTree International Data Platform
GlobalAllomeTree is an international network platform that shares differential equations,which has gradually received high global attention.Currently,aiming at the lack of growth differential equations for major tree species in China on this platform,this study updated the standardized tree height-diameter relationship equation for major tree species in China.Due to the canopy and lower shrubs and grass cover,the measurement of tree height relative to diameter at breast height(DBH)is difficult,so mathematical tools need to be used for regression calculations.36 tree species were selected as materials to construct a tree height-diameter relationship equation.Based on the binary volume model of major tree species in China and the one-dimensional volume table of each region,1 692 sets of tree height-diameter data generated with a sampling diameter order of 1 cm interval were used as equation samples,and 1 238 sets of field survey data were used as validation samples.The modeling results showed as followed:the correlation coefficient(R2)of the national universal tree height-diameter equation fitting based on 1 692 sets of tree height diameter data from 36 main tree species was 0.801,indicating that the equation fitting results were good,so the tree height can be estimated by measuring the diameter at breast height(H,m)-diameter at breast height(D,cm)square H=aDb;using the equation to fit 36 main tree species,the results showed that the determination coefficients(R2)of the tree height-diameter at breast height equation for 36 main tree species were all greater than 0.916,and the values of mean error(ME),mean absolute error(MAE),and root mean square error(RMES)were relatively small.The overall accuracy of the equation was high,which could be widely promoted;using 1 238 analytical tree data collected from field work,the accuracy of the equation was verified based on the fitting formulas and parameter estimates a and b of the tree height diameter equation for 36 main tree species.The results showed that the average relative error of the equation prediction was 16.86%,within the allowable range of error,and the model format was standardized.Above results provided scientific reference for users of the GlobalAllomeTree platform.
GlobalAllomeTree36 main tree speciestree heightchest diametertree growth equation