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Table 1 Elements in a species association matrix. Interaction frequencies (
a
ij
) between
c
animal and
r
plant species and their respective totals (rows:
A
i
, columns:
A
j
, total elements:
m
).
From:
Measuring specialization in species interaction networks
Animal sp.1
sp. 2
...
sp.
c
Total
Plant sp. 1
a
11
a
12
...
a
1
c
A
i
=
1
=
∑
j
=
1
c
a
1
j
MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGbbqqdaWgaaWcbaGaemyAaKMaeyypa0JaeGymaedabeaakiabg2da9maaqahabaGaemyyae2aaSbaaSqaaiabigdaXiabdQgaQbqabaaabaGaemOAaOMaeyypa0JaeGymaedabaGaem4yamganiabggHiLdaaaa@3CE1@
sp. 2
a
21
a
22
...
a
2
c
A
i
=
2
=
∑
j
=
1
c
a
2
j
MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGbbqqdaWgaaWcbaGaemyAaKMaeyypa0JaeGOmaidabeaakiabg2da9maaqahabaGaemyyae2aaSbaaSqaaiabikdaYiabdQgaQbqabaaabaGaemOAaOMaeyypa0JaeGymaedabaGaem4yamganiabggHiLdaaaa@3CE5@
...
...
...
...
...
...
sp.
r
a
r
1
a
r
2
...
a
rc
A
i
=
r
=
∑
j
=
1
c
a
r
j
MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGbbqqdaWgaaWcbaGaemyAaKMaeyypa0JaemOCaihabeaakiabg2da9maaqahabaGaemyyae2aaSbaaSqaaiabdkhaYjabdQgaQbqabaaabaGaemOAaOMaeyypa0JaeGymaedabaGaem4yamganiabggHiLdaaaa@3DDB@
Total
A
j
=
1
=
∑
i
=
1
r
a
i
1
MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGbbqqdaWgaaWcbaGaemOAaOMaeyypa0JaeGymaedabeaakiabg2da9maaqahabaGaemyyae2aaSbaaSqaaiabdMgaPjabigdaXaqabaaabaGaemyAaKMaeyypa0JaeGymaedabaGaemOCaihaniabggHiLdaaaa@3CFD@
A
j
=
2
=
∑
i
=
1
r
a
i
2
MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGbbqqdaWgaaWcbaGaemOAaOMaeyypa0JaeGOmaidabeaakiabg2da9maaqahabaGaemyyae2aaSbaaSqaaiabdMgaPjabikdaYaqabaaabaGaemyAaKMaeyypa0JaeGymaedabaGaemOCaihaniabggHiLdaaaa@3D01@
...
A
j
=
c
=
∑
i
=
1
r
a
i
c
MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGbbqqdaWgaaWcbaGaemOAaOMaeyypa0Jaem4yamgabeaakiabg2da9maaqahabaGaemyyae2aaSbaaSqaaiabdMgaPjabdogaJbqabaaabaGaemyAaKMaeyypa0JaeGymaedabaGaemOCaihaniabggHiLdaaaa@3DBB@
m
=
∑
i
=
1
r
∑
j
=
1
c
a
i
j
MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGTbqBcqGH9aqpdaaeWbqaamaaqahabaGaemyyae2aaSbaaSqaaiabdMgaPjabdQgaQbqabaaabaGaemOAaOMaeyypa0JaeGymaedabaGaem4yamganiabggHiLdaaleaacqWGPbqAcqGH9aqpcqaIXaqmaeaacqWGYbGCa0GaeyyeIuoaaaa@411D@
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