Examples
Examples
Try the starting example
- Strata rectangles [ID,west,south,east,north]
- [["A",0,0,10,10],["B",20,0,30,5]]
- Excluded rectangles [west,south,east,north]
- [[0,0,2,10]]
- Total desired points
- 12
- Reproducible seed
- 42
- Allocation by eligible stratum area
- [["A",80,7],["B",50,5]]
- Seeded candidate locations [stratum ID,x,y]
- [["A",2.52345174784,0.881250454113],["A",5.77281198232,2.22554265987],["A",3.75660197111,0.256639048457],["A",4.47281285888,1.18460003752],["A",8.73813705752,9.94634275325],["A",8.53202723665,4.99676728155],["A",6.42000946449,8.61456187442],["B",25.9646977647,0.453750782181],["B",21.40209798,4.75044138264],["B",29.2455544579,4.44734478137],["B",25.5050836992,0.9025827609],["B",25.5008547357,1.29483398283]]
Try another scenario
- Strata rectangles [ID,west,south,east,north]
- [["A",0,0,10,10],["B",20,0,30,5]]
- Excluded rectangles [west,south,east,north]
- [[0,0,2,10]]
- Total desired points
- 12
- Reproducible seed
- 43
- Allocation by eligible stratum area
- [["A",80,7],["B",50,5]]
- Seeded candidate locations [stratum ID,x,y]
- [["A",2.52732727211,1.78828810574],["A",2.61989470571,2.59570631897],["A",8.78318318166,0.346129655372],["A",3.82528839167,0.520827688742],["A",3.06928372011,1.8448889791],["A",6.1886218423,8.13273810083],["A",8.24796455912,5.56845380692],["B",22.9336401029,4.82644294039],["B",22.2313965857,3.8812484208],["B",22.415953544,3.71672694688],["B",22.2031816561,1.65338106803],["B",20.6051938375,1.31656033569]]
Calculation method
Calculation method
Allocation by eligible stratum area
Largest-remainder allocation proportional to rectangle area after clipped exclusion unions.
Seeded candidate locations [stratum ID,x,y]
LCG rejection sampling, up to100000 attempts; nonoverlapping strata only; excludes supplied rectangles.
Symbols and units
- a
- Strata rectangles [ID,west,south,east,north]
- b
- Excluded rectangles [west,south,east,north]
- c
- Total desired points
- d
- Reproducible seed
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Rectangular nonoverlapping planar strata and rectangular exclusion zones. Samples are reproducible illustrative candidates; field access and ecological validity remain external. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Total desired points: minimum 1, maximum 256. Reproducible seed: minimum 0, maximum 4294967295.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.