A global consistent positive effect of urban green area size on bird richness

Table 1 The twenty SAR models compared in the model selection, including the number of parameters, general model shape, whether or not the model contains an asymptote, and the overall rank obtained based on the best fitting model, model generality and efficiency (see “Methods” section)

Model	No. parameters	Model code	Model shape	Asymptotic nature	Overall rank
Linear	2	linear	Linear	No	1
Kobayashi	2	koba	Convex	No	2
Power	2	power	Convex	No	3
Exponential	2	expo	Convex	No	4
Extended Power 1	3	epm1	Convex/Sigmoid^a	No	5
Asymptotic	3	asymp	Convex	Yes	6
Monod	2	monod	Convex	Yes	7
Rational	3	ratio	Convex	Yes	8
Beta-P	4	betap	Sigmoid	Yes	9
Weibull-3	3	weibull3	Sigmoid	Yes	10
Morgan–Mercer–Flodin	3	mmf	Sigmoid	Yes	11
Logistic	3	heleg	Sigmoid	Yes	12
Weibull-4	4	weibull4	Sigmoid	Yes	13
Persistence Function 1	3	P1	Convex	No	14
Persistence Function 2	3	P2	Sigmoid	No	15
Extended Power 2	3	epm2	Sigmoid	No	16
Gompertz	3	gompertz	Sigmoid	Yes	17
Chapman–Richards	3	chapman	Sigmoid	Yes	18
Power Rosenzweig	3	power_R	Convex	No	19
Negative Exponential	2	negexpo	Convex	Yes	20

^aThe epm1 model can be either convex or sigmoidal in shape depending on the parameter values

ISSN: 2053-7166