Blockmodeling Empirical Examples

Use the Country trade data:Directed data on 5 relations among nations:

1. MANUFACTURED GOODS2. FOODS non-symmetric3. CRUDE MATERIALS4. MINERALS5. DIPLOMATIC_EXCHANGE

Blockmodeling Empirical Examples

Manufacturing

Blockmodeling Empirical Examples

Run a CONCOR block-model on the data:

Blockmodeling Empirical Examples

Run a CONCOR block-model on the data:

CONCOR

CONCOR

CONCOR

CONCOR

CONCOR

An alternative is to cluster on the Euclidian Distance:

An alternative is to cluster on the Euclidian Distance:

An alternative is to cluster on the Euclidian Distance:

<MANUFACTURE>

1 1 1 1 2 1 2 2 1 1 1 2 1 1 2 2 1 4 0 8 5 0 6 3 2 3 8 7 5 9 4 7 3 9 2 1 6 1 4 I A L H E M S E J U U S E C F C P B S A T N I Y ------------------------------------------------------- 12 ISRAEL | | 1 | 1 1 1 1 | 1 1 1 1 1 1 | --------------------------------------------------------- 1 ALGERIA | | | 1 | 1 1 1 | 14 LIBERIA | | | | | 10 HONDURAS | | | 1 | | 8 ETHIOPIA | | | 1 1 | | 15 MADAGASCAR | | | 1 | | 20 SYRIA | | | | | 6 ECUADOR | | | 1 | 1 | --------------------------------------------------------- 13 JAPAN | 1 | 1 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 22 UNITED_KINGDOM | 1 | 1 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 23 UNITED_STATES | 1 | 1 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 18 SPAIN | 1 | 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | --------------------------------------------------------- 7 EGYPT | | 1 | 1 1 1 1 | 1 1 1 1 | 5 CZECHOSLOVAKIA | | 1 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 9 FINLAND | 1 | 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 4 CHINA | | 1 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 17 PAKISTAN | | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 | 3 BRAZIL | 1 | 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 19 SWITZERLAND | 1 | 1 1 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 2 ARGENTINA | 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 | 21 THAILAND | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 16 NEW_ZEALAND | | 1 | 1 1 1 1 | 1 1 1 1 1 1 | 11 INDONESIA | | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 24 YUGOSLAVIA | 1 | 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | --------------------------------------------------------

Reduced BlockMatrix

1 2 3 4 ----- ----- ----- ----- 1 0.143 1.000 0.500 2 0.000 0.000 0.214 0.048 3 1.000 0.964 1.000 0.979 4 0.500 0.476 0.979 0.803

An alternative is to cluster on the Euclidian Distance:

<Food>

1 1 1 1 2 1 2 2 1 1 1 2 1 1 2 2 1 4 0 8 5 0 6 3 2 3 8 7 5 9 4 7 3 9 2 1 6 1 4 I A L H E M S E J U U S E C F C P B S A T N I Y ------------------------------------------------------- 12 ISRAEL | | | 1 1 1 1 | 1 1 1 1 1 1 1 1 | --------------------------------------------------------- 1 ALGERIA | | | 1 | | 14 LIBERIA | | | 1 1 | 1 | 10 HONDURAS | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 | 8 ETHIOPIA | 1 | | 1 1 1 1 | 1 1 1 | 15 MADAGASCAR | | | 1 1 1 | 1 1 | 20 SYRIA | | 1 | | 1 1 | 6 ECUADOR | | | 1 1 1 1 | 1 1 1 1 1 1 1 | --------------------------------------------------------- 13 JAPAN | 1 | 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 | 22 UNITED_KINGDOM | 1 | 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 23 UNITED_STATES | 1 | 1 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 18 SPAIN | 1 | 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | --------------------------------------------------------- 7 EGYPT | 1 | 1 | 1 1 | 1 1 1 1 | 5 CZECHOSLOVAKIA | | 1 | 1 1 1 1 | 1 1 1 1 1 1 | 9 FINLAND | 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 | 4 CHINA | | 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 17 PAKISTAN | | 1 | 1 1 1 | 1 1 1 1 1 | 3 BRAZIL | 1 | 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 19 SWITZERLAND | 1 | 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 2 ARGENTINA | 1 | 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 21 THAILAND | 1 | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 16 NEW_ZEALAND | | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 | 11 INDONESIA | | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 24 YUGOSLAVIA | 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 | --------------------------------------------------------

Reduced BlockMatrix

1 2 3 4 ----- ----- ----- ----- 1 0.000 1.000 0.667 2 0.286 0.048 0.643 0.238 3 1.000 0.786 1.000 0.896 4 0.583 0.357 0.917 0.689

An alternative is to cluster on the Euclidian Distance:

<Diplomatic Ties>

1 1 1 1 2 1 2 2 1 1 1 2 1 1 2 2 1 4 0 8 5 0 6 3 2 3 8 7 5 9 4 7 3 9 2 1 6 1 4 I A L H E M S E J U U S E C F C P B S A T N I Y ------------------------------------------------------- 12 ISRAEL | | 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 | --------------------------------------------------------- 1 ALGERIA | | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 14 LIBERIA | | 1 | 1 1 1 | 1 1 | 10 HONDURAS | | 1 | 1 1 1 1 | 1 1 | 8 ETHIOPIA | | 1 | 1 1 1 | 1 1 1 | 15 MADAGASCAR | | 1 | 1 1 | 1 | 20 SYRIA | | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 | 6 ECUADOR | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 | --------------------------------------------------------- 13 JAPAN | 1 | 1 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 22 UNITED_KINGDOM | 1 | 1 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 23 UNITED_STATES | 1 | 1 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 18 SPAIN | | 1 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | --------------------------------------------------------- 7 EGYPT | | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 5 CZECHOSLOVAKIA | | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 9 FINLAND | 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 4 CHINA | | 1 1 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 17 PAKISTAN | | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 3 BRAZIL | 1 | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 19 SWITZERLAND | 1 | 1 1 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 2 ARGENTINA | 1 | 1 1 1 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 21 THAILAND | | | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 16 NEW_ZEALAND | | | 1 1 1 | 1 1 1 | 11 INDONESIA | | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 24 YUGOSLAVIA | | 1 1 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | --------------------------------------------------------

Reduced BlockMatrix

1 2 3 4 ----- ----- ----- ----- 1 0.429 0.750 0.583 2 0.143 0.238 0.857 0.345 3 0.750 0.964 1.000 0.958 4 0.333 0.500 0.958 0.848

An alternative is to cluster on the Euclidian Distance:

3rd Option: Automorphic Equivalence:

3rd Option: Automorphic Equivalence:

If your network is small, you might choose ALL PERMS from above:

But it takes awhile….

3rd Option: Automorphic Equivalence:

<Manufacture>

1 1 1 2 1 1 2 2 1 1 1 2 1 1 2 1 6 8 0 5 4 0 3 8 2 3 9 7 5 3 4 7 2 9 2 1 6 1 4 A E E H M L S J S U U F E C B C P I S A T N I Y --------------------------------------------------------- 1 ALGERIA | | | | 1 | 1 1 1 | 6 ECUADOR | | | | 1 | 1 | ----------------------------------------------------------- 8 ETHIOPIA | | | | 1 1 | | 10 HONDURAS | | | | 1 | | 15 MADAGASCAR | | | | 1 | | ----------------------------------------------------------- 14 LIBERIA | | | | | | 20 SYRIA | | | | | | ----------------------------------------------------------- 13 JAPAN | 1 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 | 18 SPAIN | 1 1 | 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 | 22 UNITED_KINGDOM | 1 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 23 UNITED_STATES | 1 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 | ----------------------------------------------------------- 9 FINLAND | 1 1 | 1 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 7 EGYPT | | 1 | | 1 1 1 1 | 1 1 1 1 | 5 CZECHOSLOVAKIA | 1 1 | 1 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 3 BRAZIL | 1 1 | 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 4 CHINA | 1 | 1 1 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 17 PAKISTAN | | | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 | 12 ISRAEL | | 1 | | 1 1 1 1 | 1 1 1 1 1 1 | 19 SWITZERLAND | 1 1 | 1 1 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 2 ARGENTINA | 1 1 | | | 1 1 1 | 1 1 1 1 1 1 1 1 | 21 THAILAND | | | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 16 NEW_ZEALAND | 1 | | | 1 1 1 1 | 1 1 1 1 1 1 | 11 INDONESIA | 1 | | | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 24 YUGOSLAVIA | 1 | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | ----------------------------------------------------------

Reduced BlockMatrix

1 2 3 4 5 ----- ----- ----- ----- ----- 1 0.000 0.000 0.000 0.250 0.154 2 0.000 0.000 0.000 0.333 0.000 3 0.000 0.000 0.000 0.000 0.000 4 1.000 0.917 1.000 1.000 0.981 5 0.538 0.359 0.500 0.981 0.756

3rd Option: Automorphic Equivalence:

<Food>

1 1 1 2 1 1 2 2 1 1 1 2 1 1 2 1 6 8 0 5 4 0 3 8 2 3 9 7 5 3 4 7 2 9 2 1 6 1 4 A E E H M L S J S U U F E C B C P I S A T N I Y --------------------------------------------------------- 1 ALGERIA | | | | 1 | | 6 ECUADOR | | | | 1 1 1 1 | 1 1 1 1 1 1 1 | ----------------------------------------------------------- 8 ETHIOPIA | | | | 1 1 1 1 | 1 1 1 1 | 10 HONDURAS | | | 1 | 1 1 1 1 | 1 1 1 1 1 1 | 15 MADAGASCAR | | | | 1 1 1 | 1 1 | ----------------------------------------------------------- 14 LIBERIA | | | | 1 1 | 1 | 20 SYRIA | 1 | | | | 1 1 | ----------------------------------------------------------- 13 JAPAN | | 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 18 SPAIN | 1 1 | 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 22 UNITED_KINGDOM | 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 23 UNITED_STATES | 1 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 | ----------------------------------------------------------- 9 FINLAND | 1 | | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 | 7 EGYPT | 1 | | | 1 1 | 1 1 1 1 1 | 5 CZECHOSLOVAKIA | | | 1 | 1 1 1 1 | 1 1 1 1 1 1 | 3 BRAZIL | 1 | | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 4 CHINA | 1 | | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 17 PAKISTAN | 1 | | | 1 1 1 | 1 1 1 1 1 | 12 ISRAEL | | | | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 19 SWITZERLAND | 1 | 1 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 2 ARGENTINA | 1 1 | | 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 21 THAILAND | 1 1 | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 16 NEW_ZEALAND | 1 1 | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 | 11 INDONESIA | 1 | | | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 24 YUGOSLAVIA | 1 | | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 | ----------------------------------------------------------

Reduced BlockMatrix

1 2 3 4 5 ----- ----- ----- ----- ----- 1 0.000 0.000 0.000 0.625 0.269 2 0.000 0.000 0.167 0.917 0.308 3 0.250 0.000 0.000 0.250 0.115 4 0.625 0.750 1.000 1.000 0.904 5 0.538 0.103 0.462 0.923 0.679

3rd Option: Automorphic Equivalence:

<Diplomatic>

1 1 1 2 1 1 2 2 1 1 1 2 1 1 2 1 6 8 0 5 4 0 3 8 2 3 9 7 5 3 4 7 2 9 2 1 6 1 4 A E E H M L S J S U U F E C B C P I S A T N I Y --------------------------------------------------------- 1 ALGERIA | | 1 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 6 ECUADOR | | 1 | | 1 1 1 1 | 1 1 1 1 1 1 1 | ----------------------------------------------------------- 8 ETHIOPIA | | | 1 | 1 1 1 | 1 1 1 | 10 HONDURAS | 1 | | | 1 1 1 1 | 1 1 | 15 MADAGASCAR | 1 | | | 1 1 | 1 | ----------------------------------------------------------- 14 LIBERIA | | 1 | | 1 1 1 | 1 1 | 20 SYRIA | 1 | | | 1 1 1 1 | 1 1 1 1 1 1 1 | ----------------------------------------------------------- 13 JAPAN | 1 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 | 18 SPAIN | 1 1 | 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 22 UNITED_KINGDOM | 1 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 23 UNITED_STATES | 1 1 | 1 1 1 | 1 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 | ----------------------------------------------------------- 9 FINLAND | 1 | 1 | | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 7 EGYPT | 1 | 1 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 5 CZECHOSLOVAKIA | 1 1 | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 3 BRAZIL | 1 1 | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 4 CHINA | 1 1 | 1 1 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 17 PAKISTAN | 1 | | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 | 12 ISRAEL | 1 | 1 | 1 | 1 1 1 | 1 1 1 1 1 1 1 | 19 SWITZERLAND | 1 1 | 1 1 | 1 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 | 2 ARGENTINA | 1 1 | 1 1 | 1 | 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | 21 THAILAND | | | | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 | 16 NEW_ZEALAND | | | | 1 1 1 | 1 1 1 | 11 INDONESIA | 1 | 1 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 24 YUGOSLAVIA | 1 1 | 1 | 1 | 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 | ----------------------------------------------------------

Reduced BlockMatrix

1 2 3 4 5 ----- ----- ----- ----- ----- 1 0.000 0.500 0.500 1.000 0.577 2 0.333 0.000 0.167 0.750 0.154 3 0.250 0.167 0.000 0.875 0.346 4 1.000 0.917 1.000 1.000 0.942 5 0.654 0.410 0.462 0.942 0.788

3rd Option: Automorphic Equivalence:

4th Option: Regular Equivalence:

4th Option: Regular Equivalence:

You can tell from the dendrogram that the program keyed off of the network periphery.