Production of zakat on sheep in an ideal case

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

Age	Male Sheeps	Female Sheeps	Total_Sheeps	Zakat
1	1	1	2	0
2	1	2	3	0
3	2	3	5	0
4	3	5	8	0
5	5	8	13	0
6	9	12	21	0
7	15	18	33	0
8	24	27	51	1
9	37	41	78	1
10	57	62	119	1
11	88	93	181	2
12	134	140	274	3
13	204	210	414	5
14	309	315	624	7
15	466	473	939	10
16	702	710	1412	15
17	1057	1065	2122	22
18	1589	1598	3187	32
19	2388	2397	4785	48
20	3586	3596	7182	72
21	5384	5394	10778	108
22	8081	8091	16172	162
23	12126	12137	24263	243
24	18194	18206	36400	364
25	27297	27309	54606	547
26	40951	40964	81915	820
27	61433	61446	122879	1229
28	92156	92169	184325	1844
29	138240	138254	276494	2765
30	207367	207381	414748	4148
31	311057	311072	622129	6222
32	466593	466608	933201	9333
33	699897	699912	1399809	13999
34	1049853	1049868	2099721	20998
35	1574787	1574802	3149589	31496
36	2362188	2362203	4724391	47244
37	3543289	3543305	7086594	70866
38	5314941	5314958	10629899	106299
39	7972420	7972437	15944857	159449
40	11958638	11958656	23917294	239173
41	17937966	17937984	35875950	358760
42	26906958	26906976	53813934	538140
43	40360446	40360464	80720910	807210
44	60540678	60540696	1.21E+08	1210814
45	90811026	90811044	1.82E+08	1816221
46	1.36E+08	1.36E+08	2.72E+08	2724332
47	2.04E+08	2.04E+08	4.09E+08	4086497
48	3.06E+08	3.06E+08	6.13E+08	6129746
49	4.6E+08	4.6E+08	9.19E+08	9194619
50	6.9E+08	6.9E+08	1.38E+09	13791928
51	1.03E+09	1.03E+09	2.07E+09	20687891
52	1.55E+09	1.55E+09	3.1E+09	31031837
53	2.33E+09	2.33E+09	4.65E+09	46547755
54	3.49E+09	3.49E+09	6.98E+09	69821633
55	5.24E+09	5.24E+09	1.05E+10	104732449
56	7.85E+09	7.85E+09	1.57E+10	157098673
57	1.18E+10	1.18E+10	2.36E+10	235648009
58	1.77E+10	1.77E+10	3.53E+10	353472013
59	2.65E+10	2.65E+10	5.3E+10	530208020
60	3.98E+10	3.98E+10	7.95E+10	795312030
61	5.96E+10	5.96E+10	1.19E+11	1192968045
62	8.95E+10	8.95E+10	1.79E+11	1789452067
63	1.34E+11	1.34E+11	2.68E+11	2684178101
64	2.01E+11	2.01E+11	4.03E+11	4026267151
65	3.02E+11	3.02E+11	6.04E+11	6039400727

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

The Model

Limitation

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