1990—2020年中国耕地景观细碎化演变特征与趋势预判

刘晶, 金晓斌, 徐伟义, 王世磊, 周寅康

Characteristic evolution and trend prediction of cultivated land landscape fragmentation in China from 1990 to 2020

LIU Jing, JIN Xiaobin, XU Weiyi, WANG Shilei, ZHOU Yinkang

表3 耕地景观细碎化平均尺度方差估计与尺度方差构成

Tab. 3 Mean square estimates and scale variance components of cultivated land landscape fragmentation at agricultural, provincial, municipal and county scales

尺度	自由度	平均方差估计	尺度方差分解
农业区(α)	I-1	$S V_{α} / (I - 1)$	$\overset{I}{\sum_{i = 1}} {(\bar{X_{i . . .}} - \bar{X_{. . .}})}^{2} / (I - 1)$
省域(β)	$\overset{I}{\sum_{i = 1}} (J_{i} - 1)$	$S V_{β} / \overset{I}{\sum_{i = 1}} (J_{i} - 1)$	$\overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{i = 1}} {(\bar{X_{i j . . .}} - \bar{X_{i . . .}})}^{2} / \overset{I}{\sum_{i = 1}} (J_{i} - 1)$
市域(γ)	$\overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{j = 1}} (K_{i j} - 1)$	$S V_{γ} / \overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{j = 1}} (K_{i j} - 1)$	$\overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{i = 1}} \overset{K_{i j}}{\sum_{k = 1}} {(\bar{X_{i j k . . .}} - \bar{X_{i j . . .}})}^{2} / \overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{j = 1}} (K_{i j} - 1)$
县域(φ)	$\overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{j = 1}} \overset{K_{i j}}{\sum_{k = 1}} (L_{i j k} - 1)$	$S V_{φ} / \overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{j = 1}} \overset{K_{i j}}{\sum_{k = 1}} (L_{i j k} - 1)$	$\overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{i = 1}} \overset{K_{i j}}{\sum_{k = 1}} \overset{L_{i j k}}{\sum_{l = 1}} {(\bar{X_{i j k l . . .}} - \bar{X_{i j k . . .}})}^{2} / \overset{I}{\sum_{i = 1}} \overset{J_{i}}{\sum_{j = 1}} \overset{K_{i j}}{\sum_{k = 1}} (L_{i j k} - 1)$