Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents

Table 2

The urban area and population of Beijing from 1991 to 2005.

Year	Original data		Logarithmic value		Standardization
	Urban population 𝑃𝑡 (10,000)	Built-up area 𝐴𝑡 (km^2)	ln𝑃𝑡	ln𝐴𝑡	Sdz(ln𝑃𝑡)	Sdz(ln𝐴𝑡)
1991	629.6	397.4	6.445	5.985	−0.772	−1.028
1992	634.7	429.4	6.453	6.062	−0.742	−0.843
1993	640.8	454.1	6.463	6.118	−0.707	−0.709
1994	649.6	467.0	6.476	6.146	−0.657	−0.642
1995	656.1	476.8	6.486	6.167	−0.620	−0.592
1996	662.8	476.8	6.496	6.167	−0.582	−0.592
1997	670.0	488.1	6.507	6.191	−0.542	−0.536
1998	675.3	488.3	6.515	6.191	−0.513	−0.535
1999	682.4	488.3	6.526	6.191	−0.474	−0.535
2000	690.9	490.1	6.538	6.195	−0.429	−0.526
2001	861.4	747.8	6.759	6.617	0.387	0.485
2002	949.7	1043.5	6.856	6.950	0.748	1.282
2003	962.7	1180.1	6.870	7.073	0.799	1.577
2004	1187.0	1182.3	7.079	7.075	1.573	1.581
2005	1538.0	1200.0	7.338	7.090	2.532	1.617
Average	806.1	667.3	6.654	6.415	0.000	0.000
Stdev	260.3	313.4	0.270	0.418	1.000	1.000

Original data source: The Ministry of Housing and Urban-Rural Development of China and 1991–2005 Statistic Annals of China’s Urban Construction.