A New Conformable Fractional-Order Time-Delay Grey Bernoulli Model with the Arithmetic Optimization Algorithm and Its Application in Rural Regional Economy

Table 9

The APE (%) of ten models in the case of the rural residents’ consumption level.

Year	Data	CFTDNGBM	FDGM	FNDGM	FDGMP	FDGM (1, 1, t^α)	FGDGMP	WDGM	FTDGM	LSSVM	CFDGM (1, 1)
2002	2157.00	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	—	0.0000
2003	2292.00	0.1565	2.1977	0.0429	0.2762	0.0000	0.1742	3.4295	0.0072	—	8.2182
2004	2521.00	0.5770	2.2560	0.6182	0.1334	0.0021	0.1048	1.4957	1.1816	2.1115	4.8482
2005	2784.00	0.0097	1.3041	0.3309	0.0362	0.1672	0.1499	0.2503	0.0565	0.8273	2.0857
2006	3066.00	0.4498	0.6178	0.9874	1.0370	1.2046	0.8249	2.4693	1.4940	1.6371	0.8440
2007	3538.00	2.6829	1.7214	1.8263	1.9858	1.8618	2.1156	0.1000	1.2557	2.2765	0.9958
2008	3981.00	2.4331	1.3137	1.7237	2.0194	1.9055	2.0101	0.4101	1.3299	1.0541	0.4018
2009	4295.00	2.6555	3.5212	2.9430	2.5829	2.7130	2.7246	5.1667	3.0585	4.9064	4.4362
2010	4782.00	5.0069	5.3473	4.7742	4.4558	4.5911	4.6699	6.8427	4.5558	3.8395	6.0658
2011	5880.00	2.6626	2.8471	3.2196	3.3780	3.2935	3.2022	1.6254	3.6680	7.0002	2.4963
2012	6573.00	0.8611	1.3865	1.4745	1.4085	1.4457	1.3543	0.2869	2.0183	1.5995	1.4355
2013	7397.00	0.0554	0.5254	0.2005	0.1812	0.1007	0.0006	0.4676	0.5674	1.4126	1.0515
2014	8365.00	0.1553	0.1095	0.7420	1.5246	0.8410	0.9942	0.7991	0.9505	0.1670	1.1695
2015	9409.00	0.4076	0.8763	2.3670	3.6397	2.3588	2.6388	1.7335	3.7035	0.3651	0.7729
2016	10609.00	0.0030	1.6470	3.8764	5.7206	3.6223	4.1322	2.4786	7.0837	1.7253	0.6308
2017	12145.00	2.3140	0.8981	3.9151	6.3749	3.2603	4.1161	1.7187	9.8920	5.1769	2.0004
2018	13985.00	5.5321	0.4161	3.4289	6.5449	2.2111	3.5411	0.4141	13.3098	9.0740	3.9261
2019	15382.00	4.7495	2.9102	7.8491	11.8467	5.8069	7.8421	3.8130	23.8467	9.2864	1.4045
2020	16046.00	0.8617	12.1405	18.6433	23.9165	15.3447	18.4668	13.1973	44.8144	7.6374	6.6758