Feature analysis of multidisciplinary scientific collaboration patterns based on PNAS

EPJ Data Science

Table 1 Specific indexes of the second-class disciplines in PNAS 1999–2013

Disciplinary	m	n	\(k_{1}\)	\(k_{2}\)	b
Agricultural science	22	226	9	20	3.19
Anthropology	114	556	24	110	40.02
Applied biological science	135	767	9	134	1.79
Applied mathematics	191	380	27	182	49.39
Applied physical science	309	816	26	299	29.14
Astronomy	3	50	3	3	0.13
Biochemistry	333	6303	19	327	16.96
Biophysics	359	3957	16	359	7.91
Biophysics and computational biology	468	1532	11	467	7.95
Cell biology	135	3717	18	130	12.71
Chemistry	1003	8645	26	1003	49.73
Computer science	77	101	17	70	9.50
Developmental biology	33	1525	12	30	1.66
Earth, atmospheric, and planetary sciences	78	243	9	77	1.58
Ecology	162	1084	15	162	10.00
Economic science	94	171	21	94	20.88
Engineering	217	392	19	217	13.85
Environmental science	184	695	20	183	25.44
Evolution	233	2274	22	216	25.81
Genetics	103	2664	20	97	12.68
Geology	137	285	10	136	2.79
Geophysics	23	175	7	23	1.51
Immunology	43	3070	10	38	1.45
Mathematics	18	561	11	17	3.36
Medical science	181	4784	20	170	14.01
Microbiology	92	2812	17	89	11.85
Neurobiology	16	1003	9	16	0.87
Neuroscience	290	4398	16	280	12.00
Pharmacology	26	594	4	26	0.08
Physics	229	4818	22	227	18.24
Physiology	33	1116	12	32	5.82
Plant biology	27	1700	12	27	4.62
Political science	7	17	5	7	0.54
Population biology	27	166	11	26	4.04
Psychological and cognitive science	160	487	16	159	5.09
Psychology	83	449	12	83	3.62
Statistics	90	146	20	85	19.34
Sustainability science	123	399	11	120	7.66
Systems biology	36	159	11	36	1.80

The number of papers n and that of interdisciplinary papers m of a discipline are counted based on the discipline information provided by PNAS. The degree \(k_{1}\), weighted degree \(k_{2}\), and betweenness centrality b of a discipline are calculated based on the weighted network in Fig. 2.