Principle of Limiting Factors-Driven Piecewise Population Growth Model I: Qualitative Exploration and Study Cases on Continuous-Time Dynamics

Table 3

Estimated values of initial population size and basic parameter , produced by fitting the PLF-PPM of equation (22) to the listed datasets.

Dataset	Fitted parameters
	Armstrong [7]	34.31	3.59	0.09	0.03	0.0050	3077.43	39.88	47.4100	79.91	6.5e + 03	0.9920
0.06		0.38	0.06	0.00	0.0003	625.18	—	—	—	—	—
Huisman [8]	0.75	186.53	39.71	0.68	0.0010	174	4.69	2.12e + 3	16.51	2.1e + 3	0.9946
	0.11	49.65	15.31	0.02	0.0002	84.56	—	—	—	—	—
Pearl [10]	3.96	1.89	0.08	0.25	0.0092	628.30	22.18	38.27	318.28	9.0e−3	0.9913
	1.15	0.48	0.00	0.01	0.0001	37.48	—	—	—	—	—
Davidson [9]	85.73	146	0.56	0.18	1.94e + 4	1974	260.71	1.02e + 3	1.69e + 3	1.2e + 4	0.9484
	58.10	41.79	1.75	0.02	0.0000	178.63	—	—	—	—	—
Hughes and Tanner [11]	213.42	1186.56	1.57	0.09	1.64e + 4	376.55	755.77	180.74	360.98	752.05	0.9340
	1.5153	309.59	1.95	0.05	9.49e − 5	104.61	—	—	—	—	—

Records right below parameter estimates correspond to associated standard errors. Calculated ratio, equilibria , and concordance correlation coefficient (CCC) values are also displayed.