Daily Challenge Day 47

My original musings were with industrial city states 100 km in diameter, based on concentric ring and sector ring models along with multiple nuclei models of cities. Such industrial city-states would be 100 km apart, and connected by railways with trains travelling from 100 km/hr to 200 km/hr, with cars travelling at 50 km/hr. In my initial musings  had no consideration of population. I later read some articles on maximum sustainable population of earth and from the various values adopted 10 billion as a design limit. I don’t know if this is the limit, it is just useful for design has it is larger than the existing population. Setting population limit of the city states as 10 million people, then need a total of 1000 city-states to house the future world population.

When I first got a computer and spreadsheet software, one of the things I did was, input the population and area data from my 1976 world picture atlas, and mess around with population distributions. From this I adopted a limit of 4000 people/km2 for population density. I also adopted a limit of 2/3rds of the area of the city for infrastructure, and only 1/3rd for residential. This led to a block of land approximately 16m x 16m for each person.

Additionally, the 100km diameter city is divided into towns 10 km diameter. The towns divided into villages 1 km in diameter. The villages divided into estates 100m in diameter. Each estate is divided into spaces 10m in diameter.

None of these ideas necessarily fits together. Still it provides a model. Added to this is the more recent consideration of cells 5 km in diameter. Last night I found some extra data, and extended the tables from my previous posting, checking cells 1000 km, 500 km, 250 km, 100 km, 25 km and 5km. The following tables list some of these options.

Table 1: Number of 5 km Diameter Cells

Area Cells
Region  km² Number
World:Total 510,072,000 25,977,754
World: Sea 361,132,000 18,392,302
World: Land 148,940,000 7,585,452
Eurasia 55,000,000 2,801,127
Africa 30,370,000 1,546,731
South America 17,840,000 908,584
Canada 9,984,670 508,515
United States of America 9,833,520 500,817
China 9,596,961 488,769
Australia 7,692,024 391,752
European Union 4,475,757 227,948
India 3,287,263 167,419
Western Australia 2,645,615 134,740
Mexico 1,972,550 100,461
Queensland 1,852,642 94,354
Northern Territory 1,420,970 72,369
South Australia 983,482 50,088
New South Wales 809,444 41,225
France 643,801 32,789
Japan 377,972 19,250
Germany 357,168 18,190
United kingdom 242,495 12,350
Victoria 237,639 12,103
Brisbane 15,826 806
Sydney 12,368 630
Melbourne 9,991 509
Perth 6,418 327
Yorke Peninsula Council 5,834 297
Adelaide 3,258 166
Australian Capital Territory 2,358 120
Hobart 1,696 86
Canberra 814 41
District Council of the Copper Coast 773 39
Darwin 112 6

 

Table 2: Number of 25 km Cells

Area Cells
Region  km² Number
World:Total 510,072,000 1,039,110
World: Sea 361,132,000 735,692
World: Land 148,940,000 303,418
Eurasia 55,000,000 112,045
Africa 30,370,000 61,869
South America 17,840,000 36,343
Canada 9,984,670 20,341
United States of America 9,833,520 20,033
China 9,596,961 19,551
Australia 7,692,024 15,670
European Union 4,475,757 9,118
India 3,287,263 6,697
Western Australia 2,645,615 5,390
Mexico 1,972,550 4,018
Queensland 1,852,642 3,774
Northern Territory 1,420,970 2,895
South Australia 983,482 2,004
New South Wales 809,444 1,649
France 643,801 1,312
Japan 377,972 770
Germany 357,168 728
United kingdom 242,495 494
Victoria 237,639 484
Brisbane 15,826 32
Sydney 12,368 25
Melbourne 9,991 20
Perth 6,418 13
Yorke Peninsula Council 5,834 12
Adelaide 3,258 7
Australian Capital Territory 2,358 5
Hobart 1,696 3
Canberra 814 2
District Council of the Copper Coast 773 2
Darwin 112 0

 

Table 3: Number of 100 km Cells

Area Cells
Region  km² Number
World:Total 510,072,000 64,944
World: Sea 361,132,000 45,981
World: Land 148,940,000 18,964
Eurasia 55,000,000 7,003
Africa 30,370,000 3,867
South America 17,840,000 2,271
Canada 9,984,670 1,271
United States of America 9,833,520 1,252
China 9,596,961 1,222
Australia 7,692,024 979
European Union 4,475,757 570
India 3,287,263 419
Western Australia 2,645,615 337
Mexico 1,972,550 251
Queensland 1,852,642 236
Northern Territory 1,420,970 181
South Australia 983,482 125
New South Wales 809,444 103
France 643,801 82
Japan 377,972 48
Germany 357,168 45
United kingdom 242,495 31
Victoria 237,639 30
Brisbane 15,826 2
Sydney 12,368 2
Melbourne 9,991 1
Perth 6,418 1
Yorke Peninsula Council 5,834 1
Adelaide 3,258 0
Australian Capital Territory 2,358 0
Hobart 1,696 0
Canberra 814 0
District Council of the Copper Coast 773 0
Darwin 112 0

 

Table 4: Number of 250 km Cells

Area Cells
Region  km² Number
World:Total 510,072,000 10,391
World: Sea 361,132,000 7,357
World: Land 148,940,000 3,034
Eurasia 55,000,000 1,120
Africa 30,370,000 619
South America 17,840,000 363
Canada 9,984,670 203
United States of America 9,833,520 200
China 9,596,961 196
Australia 7,692,024 157
European Union 4,475,757 91
India 3,287,263 67
Western Australia 2,645,615 54
Mexico 1,972,550 40
Queensland 1,852,642 38
Northern Territory 1,420,970 29
South Australia 983,482 20
New South Wales 809,444 16
France 643,801 13
Japan 377,972 8
Germany 357,168 7
United kingdom 242,495 5
Victoria 237,639 5
Brisbane 15,826 0
Sydney 12,368 0
Melbourne 9,991 0
Perth 6,418 0
Yorke Peninsula Council 5,834 0
Adelaide 3,258 0
Australian Capital Territory 2,358 0
Hobart 1,696 0
Canberra 814 0
District Council of the Copper Coast 773 0
Darwin 112 0

Table 5: Number of 500 km Cells

Area Cells
Region  km² Number
World:Total 510,072,000 2,598
World: Sea 361,132,000 1,839
World: Land 148,940,000 759
Eurasia 55,000,000 280
Africa 30,370,000 155
South America 17,840,000 91
Canada 9,984,670 51
United States of America 9,833,520 50
China 9,596,961 49
Australia 7,692,024 39
European Union 4,475,757 23
India 3,287,263 17
Western Australia 2,645,615 13
Mexico 1,972,550 10
Queensland 1,852,642 9
Northern Territory 1,420,970 7
South Australia 983,482 5
New South Wales 809,444 4
France 643,801 3
Japan 377,972 2
Germany 357,168 2
United kingdom 242,495 1
Victoria 237,639 1
Brisbane 15,826 0
Sydney 12,368 0
Melbourne 9,991 0
Perth 6,418 0
Yorke Peninsula Council 5,834 0
Adelaide 3,258 0
Australian Capital Territory 2,358 0
Hobart 1,696 0
Canberra 814 0
District Council of the Copper Coast 773 0
Darwin 112 0

 

Table 6: Number of 1000 km Cells

Area Cells
Region  km² Number
World:Total 510,072,000 649
World: Sea 361,132,000 460
World: Land 148,940,000 190
Eurasia 55,000,000 70
Africa 30,370,000 39
South America 17,840,000 23
Canada 9,984,670 13
United States of America 9,833,520 13
China 9,596,961 12
Australia 7,692,024 10
European Union 4,475,757 6
India 3,287,263 4
Western Australia 2,645,615 3
Mexico 1,972,550 3
Queensland 1,852,642 2
Northern Territory 1,420,970 2
South Australia 983,482 1
New South Wales 809,444 1
France 643,801 1
Japan 377,972 0
Germany 357,168 0
United kingdom 242,495 0
Victoria 237,639 0
Brisbane 15,826 0
Sydney 12,368 0
Melbourne 9,991 0
Perth 6,418 0
Yorke Peninsula Council 5,834 0
Adelaide 3,258 0
Australian Capital Territory 2,358 0
Hobart 1,696 0
Canberra 814 0
District Council of the Copper Coast 773 0
Darwin 112 0

As can seen from the tables, 1000 industrial city-states, 100 km in diameter, is only a fraction of the total possible, and most countries have more than enough cells to match the number of city-states their current and future populations require.

The 1000 km cells represent the centres between stations supplied by diesel-electric trains supplying fuel to the interiors of land masses. Whilst the 500 km cells represent the centres between fuel service stations for road transport. The 25 km cells represent the centres between hotels, inns, and other public houses for people travelling on foot, walking from place to place. The 250 km diameter cells represent a potential operational radius of helicopters: that is they can travel 250 km between centres and return without need to refuel at the destination, but can refuel back at the point of origin. In other situations the 500 km centres hold.

As in previous posts the 5km cells represent a region one person can travel around in one day. And which also gives an indication of the number of environmental scientists, surveyors and civil engineers each country or the world needs. The counts of the other cells are useful for identifying the minimum numbers of other resources. For example the 500 km cells indicate a minimum of 759 vehicles: one for each cell to get to an adjacent cell. Each such cell requires a fuel depot.

I will hazard a guess there are more than 800 petrol stations in the world: however I also guess they are not distributed to provide access to the world: or even the interiors of continents. Which is not entirely a problem as I hazard a guess there is no need to travel more than 10,000 km across land, and at around 10 km/L need 1000 L fuel trailer tank. Such trailer doesn’t seem impractical and appears readily available: though carting such trailer is likely to increase fuel consumption and therefore reduce km/L. Still it’s just a matter of planning, and possibly working out the 10,000 km cells: the areas indicate 2 such cells for the land area, and 6 for the total area of the world.

Anycase, picking a diameter and an existing city and then drawing the circular cells with hexagonal close packing, provides something to work with, and then seek out geographical features which distort the simplified model. Alternatively triangulate existing city connections and draw bounding polygons.

As with previous essays, civilisation stops when the next inn is more than 25 km away. The assertion is that civilisation develops and extends outwards and radially from the first outpost in a region. The first outpost is an inn, a fuel station, and general supply store.

 

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