This paper will serve as a foundation for the papers I will be writing on the theory of value in Islam.

My aim is to put together a study which will support the governments with defining monetary policy, fiscal policy and economic policy in accordance with what community of believers of Allah find valuable in their economic system.

This article focuses on the production of sheep in an ideal condition and based on the average life of man how many sheep would a person own during his lifetime. This information is available in the table below along with the representative visualisation.

This is an empirical study which serves as a template for later research. It’s aim is not focus on bringing forth the model which focus on production of sheep rather the model itself solely focuses on the production of zakat in an ideal case.

Green is total number of sheep
Red is the Zakat Produced
Orange is Ewe
Blue is Ram

AgeMale SheepsFemale SheepsTotal_SheepsZakat
11120
21230
32350
43580
558130
6912210
71518330
82427511
93741781
1057621191
1188931812
121341402743
132042104145
143093156247
1546647393910
16702710141215
1710571065212222
1815891598318732
1923882397478548
2035863596718272
215384539410778108
228081809116172162
23121261213724263243
24181941820636400364
25272972730954606547
26409514096481915820
2761433614461228791229
2892156921691843251844
291382401382542764942765
302073672073814147484148
313110573110726221296222
324665934666089332019333
33699897699912139980913999
3410498531049868209972120998
3515747871574802314958931496
3623621882362203472439147244
3735432893543305708659470866
385314941531495810629899106299
397972420797243715944857159449
40119586381195865623917294239173
41179379661793798435875950358760
42269069582690697653813934538140
43403604464036046480720910807210
4460540678605406961.21E+081210814
4590811026908110441.82E+081816221
461.36E+081.36E+082.72E+082724332
472.04E+082.04E+084.09E+084086497
483.06E+083.06E+086.13E+086129746
494.6E+084.6E+089.19E+089194619
506.9E+086.9E+081.38E+0913791928
511.03E+091.03E+092.07E+0920687891
521.55E+091.55E+093.1E+0931031837
532.33E+092.33E+094.65E+0946547755
543.49E+093.49E+096.98E+0969821633
555.24E+095.24E+091.05E+10104732449
567.85E+097.85E+091.57E+10157098673
571.18E+101.18E+102.36E+10235648009
581.77E+101.77E+103.53E+10353472013
592.65E+102.65E+105.3E+10530208020
603.98E+103.98E+107.95E+10795312030
615.96E+105.96E+101.19E+111192968045
628.95E+108.95E+101.79E+111789452067
631.34E+111.34E+112.68E+112684178101
642.01E+112.01E+114.03E+114026267151
653.02E+113.02E+116.04E+116039400727

The Model

The information related to assumption and context of the case are provided in the paper, here I will share the summary regarding the model.

The model was built with the help of python script. It covers the logic which is mentioned in the paper.

The loop of the script runs though the age of the owner and it accounts for the elimination of the past generation of sheeps who died after reaching the average age.

The Model also applies the ruling of zakat based on how many sheep are born in that particular year.

Limitation

While model creates an ideal case for producing most zakat, there are several limitations, most of the resulting from the factors which prevent the maximisation of the zakat. I haven’t covered the impact of these limiting factors on the model as of yet but I do plan to cover them at a later state. The limitations may include:

Available natural resources
Diseases
Weather Patterns
Natural Disasters
Impact of Breeding and Domestication
Number of births in a calendar year
Sequence of Sex being born
Owner may sell or consume sheep during his life
Owner not deriving any other economic benefit by keeping the sheep

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Featured image source: Animal photo created by bedneyimages – www.freepik.com

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