# 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.