File:Peru population before 1500ad estimated with constant increase percent 1.svg

1) Peru Population - Our World in Data". www.ourworldindata.org.
2) Población y Vivienda". Instituto Nacional de Estadística e Informática INEI. Retrieved July 27, 2017.
3) El Perú tiene una población de 31 millones 488 mil 625 habitantes". www.inei.gob.pe (in Spanish). INEI. July 11, 2016.
4) Newson, Linda A. (1985). "Indian Population Patterns in Colonial Spanish America". Latin American Research Review. 20 (3): 42–43. JSTOR 2503469.
5) "Clovis Culture" entry in the Concise Oxford Dictionary of Archaeology: "9,500–9,000 BC" 

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Original file ‎(SVG file, nominally 1,007 × 547 pixels, file size: 47 KB) File information Structured data Captions English Peru population before 1500 AD, estimated with constant increase rate Summary Description English: Estimeted population in Peru ca. 7000 BC - 1500 AD.

Assumes constant increase rate of population over time. Assumes that 15000 cal BP population was 1000, and 550 cal BP population was 1,3 million, just before Kolumbus. Date 9 November 2022 Source Own work Author Merikanto

Sourecs of assumptions

1) Peru Population - Our World in Data". www.ourworldindata.org. 2) Población y Vivienda". Instituto Nacional de Estadística e Informática INEI. Retrieved July 27, 2017. 3) El Perú tiene una población de 31 millones 488 mil 625 habitantes". www.inei.gob.pe (in Spanish). INEI. July 11, 2016. 4) Newson, Linda A. (1985). "Indian Population Patterns in Colonial Spanish America". Latin American Research Review. 20 (3): 42–43. JSTOR 2503469. 5) "Clovis Culture" entry in the Concise Oxford Dictionary of Archaeology: "9,500–9,000 BC"

Table genetated

-11000 16 -10500 20 -10000 40 -9500 70 -9000 110 -8500 190 -8000 310 -7500 510 -7000 850 -6500 1400 -6000 2300 -5500 3790 -5000 6230 -4500 10250 -4000 16860 -3500 27720 -3000 45580 -2500 74940 -2000 123200 -1500 202560 -1000 333020 -500 547500 0 900130 500 1479870 1000 2433000 1500 3999990

Python3 code to calculate raw table

       estimated paleopouplation of Paru
       assumed constant rate

       10.11.2022 0000.0002

import math import numpy as np import scipy import matplotlib.pyplot as plt

from matplotlib.offsetbox import AnchoredText

p1=16 ## population at time zero p2=4000000 ## population at time colonization

ta1=-11000 ## presumed time of arrival paleoindians ta2=1500 ## time just before arrival of Columbus

deltat=500 ## time step

       print (math.log(2.72))

       quit(-1)

td1=abs(ta2-ta1)

pd1=p2/p1

rangelen1=int(td1/(deltat))

r1=math.log(pd1)/td1

t_two=math.log(2)/r1

r2=int(r1*100000)/1000

   print (pd1)
   print (td1)

print(" td1 ",td1) print(" r  %",r2)

print(" T2 ",int(t_two))

   quit(-1)

       r1=0.000656

tees=[] pops=[]

tb1=0

taa1=ta1

print(ta1,p1)

for n in range(0,rangelen1): tb1=tb1+deltat taa1=taa1+deltat p2=p1*math.exp(tb1*r1) p2=int(p2/10)*10 tees.append(taa1) pops.append(p2) #print(taa1,tb1,p2) print(taa1,p2)

plt.plot(tees,pops)

   SMALL_SIZE = 12

MEDIUM_SIZE = 12

   BIGGER_SIZE = 12

plt.rcParams.update({'font.size': MEDIUM_SIZE,}) plt.tick_params(labelsize=MEDIUM_SIZE)

   plt.rc('font', size=SMALL_SIZE) # controls default text sizes

plt.rc('xtick', labelsize=MEDIUM_SIZE) # fontsize of the tick labels plt.rc('ytick', labelsize=MEDIUM_SIZE)

plt.suptitle("Estimated ancient population of Peru") plt.title("Before colonization, assumed constant growth rate") plt.xlabel("Year BC/AD", size=MEDIUM_SIZE) plt.ylabel("Population millions, estimated", size=MEDIUM_SIZE)

annot1="Initial population at "+str(ta1)+ " BC "+str(p1) annot2="Population at "+str(ta2)+ " AD "+str((p2+10)/1000000)+" million" annot3="Growth rate "+str(r2)+ " %" annot4="Duplication time "+str(int(t_two))+ " yr"

plt.text(-10000, 4.0e6, "Assumptions", fontsize=12)

plt.text(-10000, 3.5e6, annot1, fontsize=12) plt.text(-10000, 3.25e6, annot2, fontsize=12) plt.text(-10000, 3.0e6, annot3, fontsize=12) plt.text(-10000, 2.75e6, annot4, fontsize=12)

plt.show()

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Click on a date/time to view the file as it appeared at that time. Date/Time Thumbnail Dimensions User Comment current 13:06, 10 November 2022 Thumbnail for version as of 13:06, 10 November 2022 1,007 × 547 (47 KB) Merikanto (talk | contribs) Update 07:43, 10 November 2022 Thumbnail for version as of 07:43, 10 November 2022 847 × 474 (45 KB) Merikanto (talk | contribs) Update 19:14, 9 November 2022 Thumbnail for version as of 19:14, 9 November 2022 1,239 × 562 (27 KB) Merikanto (talk | contribs) Uploaded own work with UploadWizard

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1. 1. estimated paleopopulation of Peru
   2. assumed constant growth rate

1. 1. 10.11.2022 0000.0002

import math import numpy as np import scipy import matplotlib.pyplot as plt

from matplotlib.offsetbox import AnchoredText

p1=16 ## population at time zero p2=4000000 ## population at time colonization

ta1=-11000 ## presumed time of arrival paleoindians ta2=1500 ## time just before arrival of Columbus

deltat=500 ## time step

1. 1. print (math.log(2.72))

1. 1. quit(-1)

td1=abs(ta2-ta1)

pd1=p2/p1

rangelen1=int(td1/(deltat))

r1=math.log(pd1)/td1

t_two=math.log(2)/r1

r2=int(r1*100000)/1000

1. print (pd1)
2. print (td1)

print(" td1 ",td1) print(" r  %",r2)

print(" T2 ",int(t_two))

1. quit(-1)

1. 1. r1=0.000656

tees=[] pops=[]

tb1=0

taa1=ta1

print(ta1,p1)

for n in range(0,rangelen1): tb1=tb1+deltat taa1=taa1+deltat p2=p1*math.exp(tb1*r1) p2=int(p2/10)*10 tees.append(taa1) pops.append(p2) #print(taa1,tb1,p2) print(taa1,p2)

plt.plot(tees,pops)

1. SMALL_SIZE = 12

MEDIUM_SIZE = 12

1. BIGGER_SIZE = 12

plt.rcParams.update({'font.size': MEDIUM_SIZE,}) plt.tick_params(labelsize=MEDIUM_SIZE)

1. plt.rc('font', size=SMALL_SIZE) # controls default text sizes

plt.rc('xtick', labelsize=MEDIUM_SIZE) # fontsize of the tick labels plt.rc('ytick', labelsize=MEDIUM_SIZE)

plt.suptitle("Estimated ancient population of Peru") plt.title("Before colonization, assumed constant growth rate") plt.xlabel("Year BC/AD", size=MEDIUM_SIZE) plt.ylabel("Population millions, estimated", size=MEDIUM_SIZE)

annot1="Initial population at "+str(ta1)+ " BC "+str(p1) annot2="Population at "+str(ta2)+ " AD "+str((p2+10)/1000000)+" million" annot3="Growth rate "+str(r2)+ " %" annot4="Duplication time "+str(int(t_two))+ " yr"

plt.text(-10000, 4.0e6, "Assumptions", fontsize=12)

plt.text(-10000, 3.5e6, annot1, fontsize=12) plt.text(-10000, 3.25e6, annot2, fontsize=12) plt.text(-10000, 3.0e6, annot3, fontsize=12) plt.text(-10000, 2.75e6, annot4, fontsize=12)

plt.show()